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____ _ _
 
| _ \ ___ _ __ ___ | |_ _ __ ___ __ _| | _____ _ _ _ __
 
| | | |/ _ \ | '_ \ / _ \| __| | '_ ` _ \ / _` | |/ / _ \ | | | | '_ \
 
| |_| | (_) | | | | | (_) | |_ | | | | | | (_| | < __/ | |_| | |_) |
 
|____/ \___/ |_| |_|\___/ \__| |_| |_| |_|\__,_|_|\_\___| \__,_| .__/
 
|_|
 
_ _ _ _
 
_ __ _ _ _ __ ___ | |__ ___ _ __ ___ ___ _ __ | |_| |__ (_)___
 
| '_ \| | | | '_ ` _ \| '_ \ / _ \ '__/ __| / _ \| '_ \ | __| '_ \| / __|
 
| | | | |_| | | | | | | |_) | __/ | \__ \ | (_) | | | | | |_| | | | \__ \
 
|_| |_|\__,_|_| |_| |_|_.__/ \___|_| |___/ \___/|_| |_| \__|_| |_|_|___/
 
 
 
_ __ __ _ __ _ ___
 
| '_ \ / _` |/ _` |/ _ \
 
| |_) | (_| | (_| | __/_
 
| .__/ \__,_|\__, |\___(_)
 
|_| |___/
 
 
(That also goes for this wiki in general. See the About page.)
 
 
This is an important page in this wiki, pal. ^_^
 
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{{ListNav}}
 
This is a list of [[googology|googolisms]] in ascending order.
 
 
This list contains ill-defined large numbers, e.g. [[:Category:BEAF|large numbers defined by BEAF]] and [[BIG FOOT]], and large numbers whose well-definedness is not known, e.g. [[:Category:-tar|large numbers defined by Taranovsky's ordinal notation]] and [[Bashicu matrix system|Bashicu matrix number]] with respect to Bashicu matrix system version 2.3.
 
 
This page (the main list) lists the more notable googolisms on each class; click the "More..." link at the end of each section to see more googolisms in that class.
 
 
==Class 0 (0 - 6)==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Zero]]
 
|0
 
|-
 
|[[Googolplexianminex]]
 
|\(10^{-(10^{10^{10^{100}}})}\)
 
|-
 
|[[Googolplexminex]]
 
|\(10^{-(10^{10^{100}})}\)
 
|-
 
|[[Googolminex]]
 
|\(10^{-(10^{100})}\) or 1/[[googolplex]]
 
|-
 
|[[One]]
 
|1
 
|-
 
|[[Two]]
 
|2
 
|-
 
|[[Three]]
 
|3
 
|-
 
|[[Four]]
 
|4
 
|-
 
|[[Five]]
 
|5
 
|-
 
|[[Six]]
 
|6
 
|}
 
'''[[List of googolisms/Class 0 and 1|More...]]'''
 
 
==Class 1 (7 - 1,000,000)==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[7|Seven]]
 
|7
 
|-
 
|[[8|Eight]]
 
|8
 
|-
 
|[[9|Nine]]
 
|9
 
|-
 
|[[Ten]]
 
|10
 
|-
 
|[[12|Dozen]]
 
|12
 
|-
 
|[[Hundred]]
 
|100 (10<sup>2</sup>)
 
|-
 
|[[Eleventy]]
 
|110
 
|-
 
|[[Twelfty]] (or long hundred)
 
|120
 
|-
 
|[[Gross]]
 
|144 (12<sup>2</sup>)
 
|-
 
|[[Baker's gross]]
 
|169 (13<sup>2</sup>)
 
|-
 
|[[Poulter's gross]]
 
|196 (14<sup>2</sup>)
 
|-
 
|[[Short ream]]
 
|480
 
|-
 
|[[Ream]]
 
|500
 
|-
 
|[[Beast number]]
 
|666
 
|-
 
|[[Thousand]] / Niloogol
 
|1,000 (10<sup>3</sup>)
 
|-
 
|[[Great gross]]
 
|1,728 (12<sup>3</sup>)
 
|-
 
|[[Great Baker's gross]]
 
|2,197 (13<sup>3</sup>)
 
|-
 
|[[Poulter's great gross]]
 
|2,744 (14<sup>3</sup>)
 
|-
 
|[[Myriad]]
 
|10,000
 
|-
 
|[[Lakh]]
 
|100,000
 
|}
 
 
[[List of googologisms/Class 1|'''More...''']]
 
 
==Class 2 (1,000,000 - \(10^{1,000,000}\))==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Million]]
 
|1,000,000
 
|-
 
|[[Crore]]
 
|10,000,000
 
|-
 
|[[Myllion]]
 
|100,000,000
 
|-
 
|[[Billion]](S)<ref>(S) means "in the [[short scale]]", and (L) means "in the [[long scale]]".</ref> / Milliard
 
|1,000,000,000
 
|-
 
|[[Dialogue]]
 
|10<sup>10</sup>
 
|-
 
|[[Trillion]](S) / [[Billion]](L)
 
|10<sup>12</sup>
 
|-
 
|[[Quadrillion]](S) / Billiard
 
|10<sup>15</sup>
 
|-
 
|[[Byllion]]
 
|10<sup>16</sup>
 
|-
 
|[[Trillion]](L) / [[Quintillion]](S)
 
|10<sup>18</sup>
 
|-
 
|[[Sextillion]](S) / Trilliard
 
|10<sup>21</sup>
 
|-
 
|[[Avogadro's number]]
 
|6.02214076*10<sup>23</sup>
 
|-
 
|[[Septillion]](S) / [[Quadrillion]](L)
 
|10<sup>24</sup>
 
|-
 
|[[Octillion]](S) / Quadrilliard
 
|10<sup>27</sup>
 
|-
 
|[[Nonillion]](S) / [[Quintillion]](L)
 
|10<sup>30</sup>
 
|-
 
|[[Tryllion]]
 
|10<sup>32</sup>
 
|-
 
|[[Decillion]](S) / Quintilliard
 
|10<sup>33</sup>
 
|-
 
|[[Undecillion]](S) / [[Sextillion]](L)
 
|10<sup>36</sup>
 
|-
 
|[[Duodecillion]](S) / Sextilliard
 
|10<sup>39</sup>
 
|-
 
|[[Tredecillion]](S) / [[Septillion]](L)
 
|10<sup>42</sup>
 
|-
 
|[[Quattuordecillion]](S) / Septilliard
 
|10<sup>45</sup>
 
|-
 
|[[Quindecillion]](S) / [[Octillion]](L)
 
|10<sup>48</sup>
 
|-
 
|[[Sexdecillion]](S) / Octilliard
 
|10<sup>51</sup>
 
|-
 
|[[Septendecillion]](S) / [[Nonillion]](L)
 
|10<sup>54</sup>
 
|-
 
|[[Octodecillion]](S) / Nonilliard
 
|10<sup>57</sup>
 
|-
 
|[[Novemdecillion]](S) / [[Decillion]](L)
 
|10<sup>60</sup>
 
|-
 
|[[Vigintillion]](S) / Decilliard
 
|10<sup>63</sup>
 
|-
 
|[[Quadryllion]]
 
|10<sup>64</sup>
 
|-
 
|[[Eddington number]]
 
|136*2<sup>256</sup> ~ 1.5747724136275*10<sup>79</sup>
 
|-
 
|[[Trigintillion]](S)
 
|10<sup>93</sup>
 
|-
 
|[[Googol]]
 
|10<sup>100</sup>
 
|-
 
|[[Vigintillion]](L)
 
|10<sup>120</sup>
 
|-
 
|[[Quadragintillion]](S)
 
|10<sup>123</sup>
 
|-
 
|[[Googolex]]
 
|120<sup>60</sup> ~ 5.6347514353165*10<sup>124</sup>
 
|-
 
|[[Quintyllion]]
 
|10<sup>128</sup>
 
|-
 
|[[Quinquagintillion]](S)
 
|10<sup>153</sup>
 
|-
 
|[[Trigintillion]](L)
 
|10<sup>180</sup>
 
|-
 
|[[Sexagintillion]](S)
 
|10<sup>183</sup>
 
|-
 
|[[Gargoogol]]
 
|10<sup>200</sup>
 
|-
 
|[[Septuagintillion]](S)
 
|10<sup>213</sup>
 
|-
 
|[[Hundertime]]
 
|4.71193079990*10<sup>219</sup>
 
|-
 
|[[Googoc]]
 
|200<sup>100</sup> ~ 1.2676506002282*10<sup>230</sup>
 
|-
 
|[[Quadragintillion]](L)
 
|10<sup>240</sup>
 
|-
 
|[[Octogintillion]](S)
 
|10<sup>243</sup>
 
|-
 
|[[Nonagintillion]](S)
 
|10<sup>273</sup>
 
|-
 
|[[Quinquagintillion]](L)
 
|10<sup>300</sup>
 
|-
 
|[[Centillion]](S)
 
|10<sup>303</sup>
 
|-
 
|[[Sexagintillion]](L)
 
|10<sup>360</sup>
 
|-
 
|[[Primo-vigesimo-centillion]](S)
 
|10<sup>366</sup>
 
|-
 
|[[Faxul]]
 
|200! ~ 7.88657867364*10<sup>374</sup>
 
|-
 
|[[Septuagintillion]](L)
 
|10<sup>420</sup>
 
|-
 
|[[Octogintillion]](L)
 
|10<sup>480</sup>
 
|-
 
|[[Googocci]]
 
|402<sup>201</sup> ~ 2.814729533583*10<sup>523</sup>
 
|-
 
|[[Nonagintillion]](L)
 
|10<sup>540</sup>
 
|-
 
|[[Centillion]](L)
 
|10<sup>600</sup>
 
|-
 
|[[Primo-vigesimo-centillion]](L)
 
|10<sup>726</sup>
 
|-
 
|[[Googolchime]]
 
|10<sup>1,000</sup>
 
|-
 
|[[Millillion]](S)
 
|10<sup>3,003</sup>
 
|-
 
|[[Decyllion]]
 
|10<sup>4,096</sup>
 
|-
 
|[[Millillion]](L)
 
|10<sup>6,000</sup>
 
|-
 
|[[Googoltoll]]
 
|10<sup>10,000</sup>
 
|-
 
|[[Hitchhiker's number]]
 
|2<sup>276,709</sup> ~ 5.117645330517*10<sup>83,297</sup>
 
|-
 
|[[Googolgong]]
 
|10<sup>100,000</sup>
 
|}
 
 
[[List of googologisms/Class 2|'''More...''']]
 
 
==Class 3 (\(10^{1,000,000} - 10^{10^{1,000,000}}\))==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Maximusmillion]]
 
|10<sup>1,000,000</sup>
 
|-
 
|[[Milli-millillion]](S)
 
|10<sup>3,000,003</sup>
 
|-
 
|[[Vigintyllion]]
 
|10<sup>4,194,304</sup>
 
|-
 
|[[Milli-millillion]](L)
 
|10<sup>6,000,000</sup>
 
|-
 
|[[Largest known prime]]
 
|2<sup>82,589,933</sup>-1 ~ 1.488944*10<sup>24,862,047</sup>
 
|-
 
|[[Nanillion]]
 
|10<sup>3,000,000,003</sup>
 
|-
 
|[[Trialogue]]
 
|10<sup>10<sup>10</sup></sup>
 
|-
 
|[[Ballium's number]]
 
|~ 2.03542*10<sup>138,732,019,349</sup>
 
|-
 
|[[Picillion]]
 
|10<sup>3*10<sup>12</sup>+3</sup>
 
|-
 
|[[Femtillion]]
 
|10<sup>3*10<sup>15</sup>+3</sup>
 
|-
 
|[[Attillion]]
 
|10<sup>3*10<sup>18</sup>+3</sup>
 
|-
 
|[[Zeptillion]]
 
|10<sup>3*10<sup>21</sup>+3</sup>
 
|-
 
|[[Yoctillion]]
 
|10<sup>3*10<sup>24</sup>+3</sup>
 
|-
 
|[[Xonillion]]
 
|10<sup>3*10<sup>27</sup>+3</sup>
 
|-
 
|[[Vecillion]]
 
|10<sup>3*10<sup>30</sup>+3</sup>
 
|-
 
|[[Mecillion]]
 
|10<sup>3*10<sup>33</sup>+3</sup>
 
|-
 
|[[Duecillion]]
 
|10<sup>3*10<sup>36</sup>+3</sup>
 
|-
 
|[[Trecillion]]
 
|10<sup>3*10<sup>39</sup>+3</sup>
 
|-
 
|[[Tetrecillion]]
 
|10<sup>3*10<sup>42</sup>+3</sup>
 
|-
 
|[[Icosillion]]
 
|10<sup>3*10<sup>60</sup>+3</sup>
 
|-
 
|[[Triacontillion]]
 
|10<sup>3*10<sup>90</sup>+3</sup>
 
|-
 
|[[Googolplex]]
 
|10<sup>10<sup>100</sup></sup>
 
|-
 
|[[Gargoogolplex]]
 
|googolplex<sup>2</sup> = 10<sup>2*10<sup>100</sup></sup>
 
|-
 
|[[Googolbang]]
 
|(10<sup>100</sup>)[[Factorial|!]] ~ 10<sup>9.957*10<sup>101</sup></sup>
 
|-
 
|[[Tetracontillion]]
 
|10<sup>3*10<sup>120</sup>+3</sup>
 
|-
 
|[[Pentacontillion]]
 
|10<sup>3*10<sup>150</sup>+3</sup>
 
|-
 
|[[Hexacontillion]]
 
|10<sup>3*10<sup>180</sup>+3</sup>
 
|-
 
|[[Heptacontillion]]
 
|10<sup>3*10<sup>210</sup>+3</sup>
 
|-
 
|[[Octacontillion]]
 
|10<sup>3*10<sup>240</sup>+3</sup>
 
|-
 
|[[Ennacontillion]]
 
|10<sup>3*10<sup>270</sup>+3</sup>
 
|-
 
|[[Hectillion]]
 
|10<sup>3*10<sup>300</sup>+3</sup>
 
|-
 
|[[Ecetonplex]]
 
|10<sup>10<sup>303</sup></sup>
 
|-
 
|[[Kilofaxul]]
 
|(200!)! ~ 10<sup>10<sup>379</sup></sup>
 
|-
 
|[[Dohectillion]]
 
|10<sup>3*10<sup>600</sup>+3</sup>
 
|-
 
|[[Googolplexichime]]
 
|10<sup>10<sup>1,000</sup></sup>
 
|-
 
|[[Killillion]]
 
|10<sup>3*10<sup>3,000</sup>+3</sup>
 
|-
 
|[[Googolplexigong]]
 
|10<sup>10<sup>100,000</sup></sup>
 
|}
 
 
[[List of googologisms/Class 3|'''More...''']]
 
 
==Class 4==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Millionduplex]]
 
|10<sup>10<sup>1,000,000</sup></sup>
 
|-
 
|[[Megillion]]
 
|10<sup>3*10<sup>3,000,000</sup>+3</sup>
 
|-
 
|[[Gigillion]]
 
|10<sup>3*10<sup>3,000,000,000</sup>+3</sup>
 
|-
 
|[[Tetralogue]]
 
|10<sup>10<sup>10<sup>10</sup></sup></sup>
 
|-
 
|[[Terillion]]
 
|10<sup>3*10<sup>3*10<sup>12</sup></sup>+3</sup>
 
|-
 
|[[Petillion]]
 
|10<sup>3*10<sup>3*10<sup>15</sup></sup>+3</sup>
 
|-
 
|[[Exillion]]
 
|10<sup>3*10<sup>3*10<sup>18</sup></sup>+3</sup>
 
|-
 
|[[Zettillion]]
 
|10<sup>3*10<sup>3*10<sup>21</sup></sup>+3</sup>
 
|-
 
|[[Yottillion]]
 
|10<sup>3*10<sup>3*10<sup>24</sup></sup>+3</sup>
 
|-
 
|[[Xennillion]]
 
|10<sup>3*10<sup>3*10<sup>27</sup></sup>+3</sup>
 
|-
 
|[[Dakillion]]
 
|10<sup>3*10<sup>3*10<sup>30</sup></sup>+3</sup>
 
|-
 
|[[Hendillion]]
 
|10<sup>3*10<sup>3*10<sup>33</sup></sup>+3</sup>
 
|-
 
|[[Skewes' number|First Skewes number]]
 
|e<sup>e<sup>e<sup>79</sup></sup></sup> ~ 10<sup>10<sup>10<sup>34</sup></sup></sup>
 
|-
 
|[[Dokillion]]
 
|10<sup>3*10<sup>3*10<sup>36</sup></sup>+3</sup>
 
|-
 
|[[Tradakillion]]
 
|10<sup>3*10<sup>3*10<sup>42</sup></sup>+3</sup>
 
|-
 
|[[Ikillion]]
 
|10<sup>3*10<sup>3*10<sup>60</sup></sup>+3</sup>
 
|-
 
|[[Trakillion]]
 
|10<sup>3*10<sup>3*10<sup>90</sup></sup>+3</sup>
 
|-
 
|[[Googolduplex]]
 
|10<sup>10<sup>10<sup>100</sup></sup></sup>
 
|-
 
|[[Fzgoogolplex]]
 
|(10<sup>10<sup>100</sup></sup>)<sup>10<sup>10<sup>100</sup></sup></sup> = 10<sup>10<sup>10<sup>100</sup>+100</sup></sup>
 
|-
 
|[[Tekillion]]
 
|10<sup>3*10<sup>3*10<sup>120</sup></sup>+3</sup>
 
|-
 
|[[Hotillion]]
 
|10<sup>3*10<sup>3*10<sup>300</sup></sup>+3</sup>
 
|-
 
|[[Ecetonduplex]]
 
|10<sup>10<sup>10<sup>303</sup></sup></sup>
 
|-
 
|[[Megafaxul]]
 
|((200!)!)! ~ 10<sup>10<sup>10<sup>379</sup></sup></sup>
 
|-
 
|[[Botillion]]
 
|10<sup>3*10<sup>3*10<sup>600</sup></sup>+3</sup>
 
|-
 
|[[Trotillion]]
 
|10<sup>3*10<sup>3*10<sup>900</sup></sup>+3</sup>
 
|-
 
|[[Skewes' number|Second Skewes number]]
 
|e<sup>e<sup>e<sup>e<sup>7.705</sup></sup></sup></sup> ~ 10<sup>10<sup>10<sup>963</sup></sup></sup>
 
|-
 
|[[Totillion]]
 
|10<sup>3*10<sup>3*10<sup>1,200</sup></sup>+3</sup>
 
|-
 
|[[Kalillion]]
 
|10<sup>3*10<sup>3*10<sup>3,000</sup></sup>+3</sup>
 
|-
 
|[[Dalillion]]
 
|10<sup>3*10<sup>3*10<sup>6,000</sup></sup>+3</sup>
 
|-
 
|[[Tralillion]]
 
|10<sup>3*10<sup>3*10<sup>9,000</sup></sup>+3</sup>
 
|-
 
|[[Talillion]]
 
|10<sup>3*10<sup>3*10<sup>12,000</sup></sup>+3</sup>
 
|-
 
|[[Dakalillion]]
 
|10<sup>3*10<sup>3*10<sup>30,000</sup></sup>+3</sup>
 
|-
 
|[[Googolduplexigong]]
 
|10<sup>10<sup>10<sup>100,000</sup></sup></sup>
 
|-
 
|[[Hotalillion]]
 
|10<sup>3*10<sup>3*10<sup>300,000</sup></sup>+3</sup>
 
|}
 
 
[[List of googologisms/Class 4|'''More...''']]
 
 
==Class 5==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Mejillion]]
 
|10<sup>3*10<sup>3*10<sup>3,000,000</sup></sup>+3</sup>
 
|-
 
|[[Gijillion]]
 
|10<sup>3*10<sup>3*10<sup>300,000,0000</sup></sup>+3</sup>
 
|-
 
|[[Pentalogue]]
 
|10<sup>10<sup>10<sup>10<sup>10</sup></sup></sup></sup>
 
|-
 
|[[Astillion]]
 
|10<sup>3*10<sup>3*10<sup>3*10<sup>12</sup></sup></sup>+3</sup>
 
|-
 
|[[Lunillion]]
 
|10<sup>3*10<sup>3*10<sup>3*10<sup>15</sup></sup></sup>+3</sup>
 
|-
 
|[[Fermillion]]
 
|10<sup>3*10<sup>3*10<sup>3*10<sup>18</sup></sup></sup>+3</sup>
 
|-
 
|[[Multillion]]
 
|10<sup>3*10<sup>3*10<sup>3*10<sup>42</sup></sup></sup>+3</sup>
 
|-
 
|[[Googoltriplex]]
 
|10<sup>10<sup>10<sup>10<sup>100</sup></sup></sup></sup>
 
|-
 
|[[Fzgargoogolplex]]
 
|googolduplex<sup>googolduplex</sup>
 
|-
 
|[[Ecetontriplex]]
 
|10<sup>10<sup>10<sup>10<sup>303</sup></sup></sup></sup>
 
|-
 
|[[Gigafaxul]]
 
|(((200!)!)!)! ~ 10<sup>10<sup>10<sup>10<sup>379</sup></sup></sup></sup>
 
|-
 
|[[Googoltriplexigong]]
 
|10<sup>10<sup>10<sup>10<sup>100,000</sup></sup></sup></sup>
 
|}
 
 
[[List of googologisms/Class 5|'''More...''']]
 
 
==Tetration level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Hexalogue]]
 
|10[[Tetration|↑↑]]6
 
|-
 
|[[Googolquadriplex]]
 
|E100[[Hyper-E notation|#]]5
 
|-
 
|[[Fzgargantugoogolplex]]
 
|googoltriplex<sup>googoltriplex</sup>
 
|-
 
|[[Heptalogue]]
 
|10↑↑7
 
|-
 
|[[Googolquinplex]]
 
|E100#6
 
|-
 
|[[Octalogue]]
 
|10↑↑8
 
|-
 
|[[Googolsextiplex]]
 
|E100#7
 
|-
 
|[[Ennalogue]]
 
|10↑↑9
 
|-
 
|[[Bentley's Number]]
 
|\(\sum^{9}_{i = 0} 10 \uparrow\uparrow i\)
 
|-
 
|[[Googolseptiplex]]
 
|E100#8
 
|-
 
|[[Decker]]
 
|{10,10,2} = 10↑↑10
 
|-
 
|[[Googoloctiplex]]
 
|E100#9
 
|-
 
|[[Endekalogue]]
 
|10↑↑11
 
|-
 
|[http://googology.wikia.com/wiki/Equinoxal Equinoxal]
 
|10<sup>(≡)</sup> = 10<sup>(10)</sup><sub>(10)</sub>
 
|-
 
|[[Googolnoniplex]]
 
|E100#10
 
|-
 
|[[Dodekalogue]]
 
|10↑↑12
 
|-
 
|[[Googoldeciplex]]
 
|E100#11
 
|-
 
|[[Triadekalogue]]
 
|10↑↑13
 
|-
 
|[[Tetradekalogue]]
 
|10↑↑14
 
|-
 
|[[Giggol]]
 
|{10,100,2} = 10↑↑100
 
|-
 
|[[Grangol]]
 
|E100#100
 
|-
 
|[[Expofaxul]]
 
|200!1
 
|-
 
|[[Mega]]
 
|[[Steinhaus-Moser notation|2[5]]] = 256[4] ~ 10↑↑258
 
|-
 
|[[Chilialogue]]
 
|10↑↑1,000
 
|-
 
|[[Grangolgong]]
 
|E100,000#100,000
 
|-
 
|[[Tritri]]
 
|{3,3,3} = {3,7625597484987,2} = 3↑↑7,625,597,484,987
 
|-
 
|[[Googolgoogolplex]]
 
|10↑↑(10<sup>100</sup>)
 
|-
 
|[[Googoldex]]
 
|E100#(10<sup>100</sup>) = E100#1#2
 
|-
 
|[[Ecetondex]]
 
|E303#1#2
 
|-
 
|[[Grand Faxul]]
 
|~ 10↑↑10<sup>379</sup>
 
|}
 
 
[[List of googologisms/Tetration|'''More...''']]
 
 
==Up-arrow notation level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Zootzootplex]]
 
|[[Exponential factorial]] of googolplex = googolplex<sup>googolplex-1<sup>googolplex-2<sup>...<sup>4<sup>3<sup>2</sup></sup></sup></sup></sup></sup>.
 
|-
 
|[[Googolplexstack]]
 
|10↑↑10<sup>10<sup>100</sup></sup>
 
|-
 
|[[Googolplexidex]]
 
|E100#(10<sup>10<sup>100</sup></sup>) = E100#2#2
 
|-
 
|[[Grand Kilofaxul]]
 
|~ 10↑↑10<sup>10<sup>379</sup></sup>
 
|-
 
|[[Tria-teraksys]]
 
|E1#1#3 = 10↑↑↑3 = 10↑↑10↑↑10
 
|-
 
|[http://googology.wikia.com/wiki/Equiduoxal Equiduoxal]
 
|10<sup>(≡≡)</sup> = 10<sup>(10<sup>(≡)</sup>)</sup><sub>(10<sup>(≡)</sup>)</sub>
 
|-
 
|[[Giggolplex]]
 
|{10,giggol,2} = 10↑↑10↑↑100
 
|-
 
|[[Grangoldex]]
 
|E100#100#2
 
|-
 
|[[Kiloexpofaxul]]
 
|(200!1)!1
 
|-
 
|[[Grangoldexigong]]
 
|E100,000#100,000#2
 
|-
 
|[[Googolgoogolduplex]]
 
|10↑↑10↑↑(10<sup>100</sup>)
 
|-
 
|[[Ecetondudex]]
 
|E303#1#3
 
|-
 
|[[Bigrand Faxul]]
 
|~ 10↑↑10↑↑(10<sup>379</sup>)
 
|-
 
|[[Tetra-teraksys]]
 
|E1#1#4 = 10↑↑↑4
 
|-
 
|[[Giggolduplex]]
 
|{10,giggolplex,2} = 10↑↑10↑↑10↑↑100
 
|-
 
|[[Grangoldudex]]
 
|E100#100#3
 
|-
 
|[[Megaexpofaxul]]
 
|((200!1)!1)!1
 
|-
 
|[[Grangoldudexigong]]
 
|E100,000#100,000#3
 
|-
 
|[[Googolgoogoltriplex]]
 
|10↑↑10↑↑10↑↑(10<sup>100</sup>)
 
|-
 
|[[Deka-teraksys]]
 
|E1#1#10 = 10↑↑↑10
 
|-
 
|[[Megiston]]
 
|10[5] ~ 10↑↑↑11
 
|-
 
|[[Gaggol]]
 
|{10,100,3} = 10↑↑↑100
 
|-
 
|[[Greagol]]
 
|E100#100#100
 
|-
 
|[[Tetrofaxul]]
 
|200!2
 
|-
 
|[[Greagolgong]]
 
|E100,000#100,000#100,000
 
|-
 
|[[Googol-3-flex]]
 
|10↑↑↑(10<sup>100</sup>)
 
|-
 
|[[Ecetonthrex]]
 
|E303#1#1#2
 
|-
 
|[[Folkman's number]]
 
|2↑↑↑(2<sup>901</sup>)
 
|-
 
|[[Grand expofaxul]]
 
|~ 10↑↑↑10↑↑198
 
|-
 
|[[A-ooga]]
 
|2[6]
 
|-
 
|[[Grahal]]
 
|g<sub>1</sub> = 3↑↑↑↑3
 
|-
 
|[[Tria-petaksys]]
 
|10↑↑↑↑3
 
|-
 
|[[Gaggolplex]]
 
|{10,gaggol,3}
 
|-
 
|[[Greagolthrex]]
 
|E100#100#100#2
 
|-
 
|[[Kilotetrofaxul]]
 
|(200!2)!2
 
|-
 
|[[Greagolthrexigong]]
 
|E100,000#100,000#100,000#2
 
|-
 
|[[Ecetonduthrex]]
 
|E303#1#1#3
 
|-
 
|[[Tritet]]
 
|{4,4,4} = 4↑↑↑↑4
 
|-
 
|[[Greagolduthrex]]
 
|E100#100#100#3
 
|-
 
|[[Greagolduthrexigong]]
 
|E100,000#100,000#100,000#3
 
|-
 
|[http://googology.wikia.com/wiki/Equitrioxal Equitrioxal]
 
|10<sup>(≡≡≡)</sup> = 10<sup>(10<sup>(≡≡)</sup>)</sup><sub>(10<sup>(≡≡)</sup>)</sub>
 
|-
 
|[[Hexar]]
 
|\(Q_{1,0}(6)\) = 6↑↑↑↑6
 
|-
 
|[[Geegol]]
 
|{10,100,4} = 10↑↑↑↑100
 
|-
 
|[[Gigangol]]
 
|E100#100#100#100
 
|-
 
|[[Pentofaxul]]
 
|200!3
 
|-
 
|[[Geegolplex]]
 
|{10,geegol,4}
 
|-
 
|[[Gigangoltetrex]]
 
|E100#100#100#100#2
 
|-
 
|[[Tripent]]
 
|{5,5,5} = 5↑↑↑↑↑5
 
|-
 
|[[Gigol]]
 
|{10,100,5} = 10↑↑↑↑↑100
 
|-
 
|[[Gorgegol]]
 
|E100#100#100#100#100
 
|-
 
|[[Hexofaxul]]
 
|200!4
 
|-
 
|[[Gigolplex]]
 
|{10,gigol,5}
 
|-
 
|[[Gorgegolpentex]]
 
|E100#100#100#100#100#2
 
|-
 
|[[Goggol]]
 
|{10,100,6}= 10↑↑↑↑↑↑100
 
|-
 
|[[Gulgol]]
 
|E100#100#100#100#100#100
 
|-
 
|[[Goggolplex]]
 
|{10,goggol,6}
 
|-
 
|[[Gulgolhex]]
 
|E100#100#100#100#100#100#2
 
|-
 
|[[Trisept]]
 
|{7,7,7} = 7↑<sup>7</sup>7
 
|-
 
|[[Gagol]]
 
|{10,100,7} = 10↑<sup>7</sup>100
 
|-
 
|[[Gaspgol]]
 
|E100#100#100#100#100#100#100
 
|-
 
|[[Gagolplex]]
 
|{10,gagol,7}
 
|-
 
|[[Gaspgolheptex]]
 
|E100#100#100#100#100#100#100#2
 
|-
 
|[[Ginorgol]]
 
|E100#100#100#100#100#100#100#100
 
|-
 
|[[Ginorgoloctex]]
 
|E100#100#100#100#100#100#100#100#2
 
|-
 
|[[Tridecal]]
 
|{10,10,10}
 
|-
 
|[[Boogol]]
 
|{10,10,100}
 
|-
 
|[[Gugold]]
 
|E100##100
 
|-
 
|[[Hyperfaxul]]
 
|200![1]
 
|-
 
|[[Gugoldagong]]
 
|E100,000##100,000
 
|-
 
|[[Gongol]]
 
|[[Hyper operator|hyper]](10,10<sup>100</sup>,100)
 
|-
 
|[[Googoldiflux]]
 
|\(10 \underbrace{\uparrow\uparrow\ldots\uparrow\uparrow}_{10^{100}} (10^{100})\)
 
|-
 
|[http://googology.wikia.com/wiki/Equiquioxal Equiquioxal]
 
|10<sup>(≡{≡}≡)</sup>
 
|}
 
 
[[List of googologisms/Up-arrow notation level|'''More...''']]
 
 
==Linear omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Laver_table|\(q(6)\)]] (lower bound)
 
|
 
|-
 
|[[Moser]]
 
|2[2[5]] using Steinhaus-Moser notation, ~ 3 ↑<sup>Mega</sup> 3
 
|-
 
|[[Boogolplex]]
 
|{10,10,{10,10,100}}
 
|-
 
|[[Gugolda-suplex]]
 
|E100##100#2
 
|-
 
|[[Kilohyperfaxul]]
 
|(200![1])![1]
 
|-
 
|[[Gongolplex]]
 
|hyper(10,gongol,100)
 
|-
 
|[[Dihexar]]
 
|\(Q_{1,1}(6) \approx 6\rightarrow 6\rightarrow 6\rightarrow 2\)
 
|-
 
|[[Graham's number]]
 
|g<sub>64</sub>, where g<sub>1</sub> = 3 ↑<sup>4</sup> 3 and g<sub>n</sub> = 3 ↑<sup>g<sub>n-1</sub></sup> 3, ~ {4,65,1,2}
 
|-
 
|[[xkcd number]]
 
|A(G,G), where G is Graham's number, ~ {4,66,1,2}
 
|-
 
|[[Corporal]]
 
|{10,100,1,2}
 
|-
 
|[[Graatagold]]
 
|E100##100#100
 
|-
 
|[[Forcal]]
 
|g<sub>1,000,000</sub>
 
|-
 
|[[Conway's Tetratri]]
 
|3→3→3→3 ~ {3<sup>3</sup>,3,2,2}
 
|-
 
|[[Corporalplex]]
 
|{10,{10,100,1,2},1,2}
 
|-
 
|[[Graatagolda-sudex]]
 
|E100##100#100#2
 
|-
 
|[[Force forcal]]
 
|g<sub>forcal</sub>
 
|-
 
|[[Trihexar]]
 
|\(Q_{1,2}(6)\)
 
|-
 
|[[Greegold]]
 
|E100##100#100#100
 
|-
 
|[[Suporcal]]
 
|Forcal(1,000,000)
 
|-
 
|[[Greegolda-suthrex]]
 
|E100##100#100#100#2
 
|-
 
|[[Grinningold]]
 
|E100##100##4
 
|-
 
|[[Megocal]]
 
|Forcal<sub>2</sub>(1,000,000)
 
|-
 
|[[Golaagold]]
 
|E100##100##5
 
|-
 
|[[Gruelohgold]]
 
|E100##100##6
 
|-
 
|[[Gaspgold]]
 
|E100##100##7
 
|-
 
|[[Ginorgold]]
 
|E100##100##8
 
|-
 
|[[Grand tridecal]]
 
|{10,10,10,2}
 
|-
 
|[[Gugolthra]]
 
|E100##100##100
 
|-
 
|[[Biggol]]
 
|{10,10,100,2}
 
|-
 
|[[Giaxul]]
 
|200![200] = 200![1,2]
 
|-
 
|[[Ultron]]
 
|\(\approx f_{\omega+200} (100)\)
 
|-
 
|[[Terribocal]]
 
|Forcal<sub>1,2</sub>(1)
 
|-
 
|[[Biggolplex]]
 
|{10,10,{10,10,100,2},2}
 
|-
 
|[[Graatagolthra]]
 
|E100##100##100##2
 
|-
 
|[[Tetratri]]
 
|{3,3,3,3}
 
|-
 
|[[Septasexahexar]]
 
|\(Q_{3,0}(6)\)
 
|-
 
|[[Gugoltesla]]
 
|E100##100##100##100
 
|-
 
|[[Baggol]]
 
|{10,10,100,3}
 
|-
 
|[[Tribocal]]
 
|Forcal<sub>1,3</sub>(1)
 
|-
 
|[[Baggolplex]]
 
|{10,10,{10,10,100,3},3}
 
|-
 
|[[Graatagoltesla]]
 
|E100##100##100##100##2
 
|-
 
|[[Supertet]]
 
|{4,4,4,4}
 
|-
 
|[[Gugolpeta]]
 
|E100##100##100##100##100
 
|-
 
|[[Beegol]]
 
|{10,10,100,4}
 
|-
 
|[[Beegolplex]]
 
|{10,10,{10,10,100,4},4}
 
|-
 
|[[Gugolhexa]]
 
|E100###6
 
|-
 
|[[Bigol]]
 
|{10,10,100,5}
 
|-
 
|[[Bigolplex]]
 
|{10,10,{10,10,100,5},5}
 
|-
 
|[[Gugolhepta]]
 
|E100###7
 
|-
 
|[[Boggol]]
 
|{10,10,100,6}
 
|-
 
|[[Boggolplex]]
 
|{10,10,{10,10,100,6},6}
 
|-
 
|[[Gugolocta]]
 
|E100###8
 
|-
 
|[[Bagol]]
 
|{10,10,100,7}
 
|-
 
|[[Bagolplex]]
 
|{10,10,{10,10,100,7},7}
 
|-
 
|[[General]]
 
|{10,10,10,10}
 
|-
 
|[[Kaboodol]]
 
|\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{102} < \text{kaboodol} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\)
 
|-
 
|[[Throogol]]
 
|E100###100
 
|-
 
|[[Troogol]]
 
|{10,10,10,100}
 
|-
 
|[[Giabixul]]
 
|200![200,200]
 
|}
 
 
[[List of googologisms/Linear omega level|'''More...''']]
 
 
==Quadratic omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Generalplex]]
 
|{10,10,10,{10,10,10,10}} = {10,3,1,1,2}
 
|-
 
|[[Kaboodolplex]]
 
|\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+2} < \text{kaboodolplex} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+3}\)
 
|-
 
|[[Troogolplex]]
 
|{10,10,10,{10,10,10,100}}
 
|-
 
|[[BOX_M̃]]
 
|
 
|-
 
|[[Thrangol]]
 
|E100###100#100
 
|-
 
|[[Threagol]]
 
|E100###100##3
 
|-
 
|[[Thrugold]]
 
|E100###100##100
 
|-
 
|[[Thrugolthra]]
 
|E100###100###3
 
|-
 
|[[Thrugoltesla]]
 
|E100###100###4
 
|-
 
|[[Throotrigol]]
 
|E100###100###100
 
|-
 
|[[Triggol]]
 
|{10,10,10,100,2}
 
|-
 
|[[Triggolplex]]
 
|{10,10,10,{10,10,10,100,2},2}
 
|-
 
|[[Thrantrigol]]
 
|E100###100###100#100
 
|-
 
|[[Thrutrigold]]
 
|E100###100###100##100
 
|-
 
|[[Pentatri]]
 
|{3,3,3,3,3}
 
|-
 
|[[Throotergol]]
 
|E100###100###100###100
 
|-
 
|[[Traggol]]
 
|{10,10,10,100,3}
 
|-
 
|[[Throopetol]]
 
|E100###100###100###100###100
 
|-
 
|[[Treegol]]
 
|{10,10,10,100,4}
 
|-
 
|[[Superpent]]
 
|{5,5,5,5,5}
 
|-
 
|[[Throohexol]]
 
|E100####6
 
|-
 
|[[Trigol]]
 
|{10,10,10,100,5}
 
|-
 
|[[Throoheptgol]]
 
|E100####7
 
|-
 
|[[Troggol]]
 
|{10,10,10,100,6}
 
|-
 
|[[Throogogdol]]
 
|E100####8
 
|-
 
|[[Tragol]]
 
|{10,10,10,100,7}
 
|-
 
|[[Pentadecal]]
 
|{10,10,10,10,10}
 
|-
 
|[[Tetroogol]]
 
|E100####100
 
|-
 
|[[Quadroogol]]
 
|{10,10,10,10,100}
 
|}
 
 
[[List of googologisms/Quadratic omega level|'''More...''']]
 
 
==Polynomial omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Pentadecalplex]]
 
|{10,10,10,10,{10,10,10,10,10}}
 
|-
 
|[[Quadroogolplex]]
 
|{10,10,10,10,{10,10,10,10,100}}
 
|-
 
|[[Tetrangol]]
 
|E100####100#100
 
|-
 
|[[Tetrugold]]
 
|E100####100##100
 
|-
 
|[[Tetrithroogol]]
 
|E100####100###100
 
|-
 
|[[Tetrootrigol]]
 
|E100####100####100
 
|-
 
|[[Quadriggol]]
 
|{10,10,10,10,100,2}
 
|-
 
|[[Hexatri]]
 
|{3,3,3,3,3,3}
 
|-
 
|[[Tetrootergol]]
 
|E100####100####100####100
 
|-
 
|[[Quadraggol]]
 
|{10,10,10,10,100,3}
 
|-
 
|[[Tetroopetol]]
 
|E100####100####100####100####100
 
|-
 
|[[Quadreegol]]
 
|{10,10,10,10,100,4}
 
|-
 
|[[Tetroohexol]]
 
|E100#####6
 
|-
 
|[[Quadrigol]]
 
|{10,10,10,10,100,5}
 
|-
 
|[[Superhex]]
 
|{6,6,6,6,6,6}
 
|-
 
|[[Tetrooheptgol]]
 
|E100#####7
 
|-
 
|[[Quadroggol]]
 
|{10,10,10,10,100,6}
 
|-
 
|[[Tetroogogdol]]
 
|E100#####8
 
|-
 
|[[Quadragol]]
 
|{10,10,10,10,100,7}
 
|-
 
|[[Hexadecal]]
 
|{10,10,10,10,10,10}
 
|-
 
|[[Pentoogol]]
 
|E100#####100
 
|-
 
|[[Quintoogol]]
 
|{10,10,10,10,10,100}
 
|-
 
|[[Quintiggol]]
 
|{10,10,10,10,10,100,2}
 
|-
 
|[[Quintaggol]]
 
|{10,10,10,10,10,100,3}
 
|-
 
|[[Quinteegol]]
 
|{10,10,10,10,10,100,4}
 
|-
 
|[[Quintigol]]
 
|{10,10,10,10,10,100,5}
 
|-
 
|[[Quintoggol]]
 
|{10,10,10,10,10,100,6}
 
|-
 
|[[Supersept]]
 
|{7,7,7,7,7,7,7}
 
|-
 
|[[Quintagol]]
 
|{10,10,10,10,10,100,7}
 
|-
 
|[[Heptadecal]]
 
|{10,10,10,10,10,10,10}
 
|-
 
|[[Hexoogol]]
 
|E100######100
 
|-
 
|[[Sextoogol]]
 
|{10,10,10,10,10,10,100}
 
|-
 
|[[Superoct]]
 
|{8,8,8,8,8,8,8,8}
 
|-
 
|[[Octadecal]]
 
|{10,10,10,10,10,10,10,10}
 
|-
 
|[[Heptoogol]]
 
|E100#######100
 
|-
 
|[[Septoogol]]
 
|{10,10,10,10,10,10,10,100}
 
|-
 
|[[Superenn]]
 
|{9,9,9,9,9,9,9,9,9}
 
|-
 
|[[Ennadecal]]
 
|{10,10,10,10,10,10,10,10,10}
 
|-
 
|[[Ogdoogol]]
 
|E100########100
 
|-
 
|[[Octoogol]]
 
|{10,10,10,10,10,10,10,10,100}
 
|-
 
|[[Iteral]]
 
|{10,10,10,10,10,10,10,10,10,10} = {10,10 (1) 2} = {10,2,2 (1) 2}
 
|-
 
|[[Ultatri]]
 
|{3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3} = {3,27 (1) 2}
 
|-
 
|[[Goobol]]
 
|{10,100(1)2}
 
|-
 
|[[Godgahlah]]
 
|E100#<sup>100</sup>100 = E100#^#100
 
|-
 
|[[Giatrixul]]
 
|200![200,200,200]
 
|-
 
|[[Godgahlahgong]]
 
|E100,000#<sup>100,000</sup>100,000
 
|}
 
 
[[List of googologisms/Polynomial omega level|'''More...''']]
 
 
==Exponentiated linear omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Dupertri]]
 
|{3,{3,3,3}(1)2} = {3,3,2 (1) 2}
 
|-
 
|[[Duperdecal]]
 
|{10,{10,10(1)2}(1)2}
 
|-
 
|[[Goobolplex]]
 
|{10,{10,100(1)2}(1)2}
 
|-
 
|[[Grand godgahlah]]
 
|E100#<sup>godgahlah</sup>100 = E100#^#100#2
 
|-
 
|[[Grand godgahlahgong]]
 
|E100,000#<sup>godgahlahgong</sup>100,000
 
|-
 
|[[Grand grand godgahlah]]
 
|E100#^#100#3
 
|-
 
|[[Gibbol]]
 
|{10,100,2(1)2}
 
|-
 
|[[Grandgahlah]]
 
|E100#^#100#100
 
|-
 
|[[Latri]]
 
|{3,3,3(1)2}
 
|-
 
|[[Gabbol]]
 
|{10,100,3(1)2}
 
|-
 
|[[Greagahlah]]
 
|E100#^#100#100#100
 
|-
 
|[[Boobol]]
 
|{10,10,100(1)2}
 
|-
 
|[[Gugoldgahlah]]
 
|E100#^#100##100
 
|-
 
|[[Bibbol]]
 
|{10,10,100,2(1)2}
 
|-
 
|[[Gugolthragahlah]]
 
|E100#^#100##100##100
 
|-
 
|[[Troobol]]
 
|{10,10,10,100(1)2}
 
|-
 
|[[Throogahlah]]
 
|E100#^#100###100
 
|-
 
|[[Quadroobol]]
 
|{10,10,10,10,100(1)2}
 
|-
 
|[[Tetroogahlah]]
 
|E100#^#100####100
 
|-
 
|[[Gootrol]]
 
|{10,100(1)3}
 
|-
 
|[[Gotrigahlah]]
 
|E100#^#100#^#100
 
|-
 
|[[Bootrol]]
 
|{10,10,100(1)3}
 
|-
 
|[[Gooquadrol]]
 
|{10,100(1)4}
 
|-
 
|[[Gotergahlah]]
 
|E100#^#100#^#100#^#100
 
|-
 
|[[Emperal]]
 
|{10,10(1)10}
 
|-
 
|[[Gossol]]
 
|{10,10(1)100}
 
|-
 
|[[Godgoldgahlah]]
 
|E100#^#*#100
 
|-
 
|[[Emperalplex]]
 
|{10,10(1){10,10(1)10}}
 
|-
 
|[[Gossolplex]]
 
|{10,10(1){10,10(1)100}}
 
|-
 
|[[Gotrigoldgahlah]]
 
|E100#^#*##3
 
|-
 
|[[Gissol]]
 
|{10,10(1)100,2}
 
|-
 
|[[Gassol]]
 
|{10,10(1)100,3}
 
|-
 
|[[Hyperal]]
 
|{10,10(1)10,10}
 
|-
 
|[[Mossol]]
 
|{10,10(1)10,100}
 
|-
 
|[[Godthroogahlah]]
 
|E100#^#*##100
 
|-
 
|[[Mossolplex]]
 
|{10,10(1)10,{10,10(1)10,100}}
 
|-
 
|[[Bossol]]
 
|{10,10(1)10,10,100}
 
|-
 
|[[Godtetroogahlah]]
 
|E100#^#*###100
 
|-
 
|[[Trossol]]
 
|{10,10(1)10,10,10,100}
 
|-
 
|[[Godpentoogahlah]]
 
|E100#^#*####100
 
|-
 
|[[Quadrossol]]
 
|{10,10(1)10,10,10,10,100}
 
|-
 
|[[Quintossol]]
 
|{10,10(1)10,10,10,10,10,100}
 
|-
 
|[[Diteral]]
 
|{10,10 (1)(1) 2}
 
|-
 
|[[Dubol]]
 
|{10,100 (1)(1) 2}
 
|-
 
|[[Deutero-godgahlah]]
 
|E100#^#*#^#100
 
|-
 
|[[Diteralplex]]
 
|{10,diteral (1)(1) 2}
 
|-
 
|[[Dutrol]]
 
|{10,100 (1)(1) 3}
 
|-
 
|[[Duquadrol]]
 
|{10,100 (1)(1) 4}
 
|-
 
|[[Admiral]]
 
|{10,10 (1)(1) 10}
 
|-
 
|[[Dossol]]
 
|{10,10 (1)(1) 100}
 
|-
 
|[[Deutero-godgoldgahlah]]
 
|E100#^#*#^#*#100
 
|-
 
|[[Dossolplex]]
 
|{10,10 (1)(1) dossol}
 
|-
 
|[[Dutritri]]
 
|{3,3,3 (1) 3,3,3 (1) 3,3,3}
 
|-
 
|[[Dutridecal]]
 
|{10,10,10 (1) 10,10,10 (1) 10,10,10}
 
|-
 
|[[Trito-godgahlah]]
 
|E100#^#*#^#*#^#100
 
|-
 
|[[Teterto-godgahlah]]
 
|E100#^#*#^#*#^#*#^#100
 
|-
 
|[[Xappol]]
 
|{10,10 (2) 2}
 
|-
 
|[[Gridgahlah]]
 
|E100#^##100
 
|}
 
 
[[List of googologisms/Exponentiated linear omega level|'''More...''']]
 
 
==Exponentiated polynomial omega level==
 
 
{|
 
!Name
 
!Number
 
|-
 
|[[Xappolplex]]
 
|{10,xappol (2) 2}
 
|-
 
|[[Grand xappol]]
 
|{10,10 (2) 3}
 
|-
 
|[[Dimentri]]
 
|{3,3 (3) 2}
 
|-
 
|[[Colossol]]
 
|{10,10 (3) 2}
 
|-
 
|[[Kubikahlah]]
 
|E100#^###100
 
|-
 
|[[Colossolplex]]
 
|{10,colossol (3) 2}
 
|-
 
|[[Terossol]]
 
|{10,10 (4) 2}
 
|-
 
|[[Quarticahlah]]
 
|E100#^####100
 
|-
 
|[[Terossolplex]]
 
|{10,terossol (4) 2}
 
|-
 
|[[Petossol]]
 
|{10,10 (5) 2}
 
|-
 
|[[Quinticahlah]]
 
|E100#^#^#5
 
|-
 
|[[Petossolplex]]
 
|{10,petossol (5) 2}
 
|-
 
|[[Ectossol]]
 
|{10,10 (6) 2}
 
|-
 
|[[Sexticahlah]]
 
|E100#^#^#6
 
|-
 
|[[Ectossolplex]]
 
|{10,ectossol (6) 2}
 
|-
 
|[[Zettossol]]
 
|{10,10 (7) 2}
 
|-
 
|[[Septicahlah]]
 
|E100#^#^#7
 
|-
 
|[[Zettossolplex]]
 
|{10,zettossol (7) 2}
 
|-
 
|[[Yottossol]]
 
|{10,10 (8) 2}
 
|-
 
|[[Octicahlah]]
 
|E100#^#^#8
 
|-
 
|[[Yottossolplex]]
 
|{10,yottossol (8) 2}
 
|-
 
|[[Xennossol]]
 
|{10,10 (9) 2}
 
|-
 
|[[Xennossolplex]]
 
|{10,xennossol (9) 2}
 
|-
 
|[[Dimendecal]]
 
|{10,10 (10) 2}
 
|-
 
|[[Gongulus]]
 
|{10,10 (100) 2}
 
|-
 
|[[Godgathor]]
 
|E100#^#^#100
 
|}
 
 
[[List of googologisms/Exponentiated polynomial omega level|'''More...''']]
 
 
==Double exponentiated polynomial omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Gongulusplex]]
 
|{10,10 (gongulus) 2}
 
|-
 
|[[Gongulusduplex]]
 
|{10,10 (gongulusplex) 2}
 
|-
 
|[[Deutero-godgathor]]
 
|E100#^#^#*#^#^#100
 
|-
 
|[[Trito-godgathor]]
 
|E100#^#^#*#^#^#*#^#^#100
 
|-
 
|[[Hecato-godgathor]]
 
|E100#^(#^#*#)100
 
|-
 
|[[Godgridgathor]]
 
|E100#^(#^#*##)100
 
|-
 
|[[Dulatri]]
 
|{3,3 (0,2) 2}
 
|-
 
|[[Godkubikgathor]]
 
|E100#^(#^#*###)100
 
|-
 
|[[Gingulus]]
 
|{10,100 (0,2) 2}
 
|-
 
|[[Godgathordeus]]
 
|E100#^(#^#*#^#)100
 
|-
 
|[[Trilatri]]
 
|{3,3 (0,3) 2}
 
|-
 
|[[Gangulus]]
 
|{10,100 (0,3) 2}
 
|-
 
|[[Godgathortruce]]
 
|E100#^(#^#*#^#*#^#)100
 
|-
 
|[[Geengulus]]
 
|{10,100 (0,4) 2}
 
|-
 
|[[Godgathorquad]]
 
|E100#^(#^#*#^#*#^#*#^#)100
 
|-
 
|[[Gowngulus]]
 
|{10,100 (0,5) 2}
 
|-
 
|[[Gungulus]]
 
|{10,100 (0,6) 2}
 
|-
 
|[[Bongulus]]
 
|{10,100 (0,0,1) 2}
 
|-
 
|[[Gralgathor]]
 
|E100#^#^##100
 
|-
 
|[[Bingulus]]
 
|{10,100 (0,0,2) 2}
 
|-
 
|[[Gralgathordeus]]
 
|E100#^(#^##*#^##)100
 
|-
 
|[[Trimentri]]
 
|{3,3 (0,0,0,1) 2} = {3,3 ((1)1) 2}
 
|-
 
|[[Bangulus]]
 
|{10,100 (0,0,3) 2}
 
|-
 
|[[Gralgathortruce]]
 
|E100#^(#^##*#^##*#^##)100
 
|-
 
|[[Beengulus]]
 
|{10,100 (0,0,4) 2}
 
|-
 
|[[Gralgathorquad]]
 
|E100#^(#^##*#^##*#^##*#^##)100
 
|-
 
|[[Trongulus]]
 
|{10,100 (0,0,0,1) 2}
 
|-
 
|[[Thraelgathor]]
 
|E100#^#^###100
 
|-
 
|[[Quadrongulus]]
 
|{10,100 (0,0,0,0,1) 2}
 
|-
 
|[[Terinngathor]]
 
|E100#^#^####100
 
|-
 
|[[Pentaelgathor]]
 
|E100#^#^#####100
 
|-
 
|[[Quintongulus]]
 
|{10,100 (0,0,0,0,0,1) 2}
 
|-
 
|[[Sextongulus]]
 
|{10,100 (0,0,0,0,0,0,1) 2}
 
|-
 
|[[Septongulus]]
 
|{10,100 (0,0,0,0,0,0,0,1) 2}
 
|-
 
|[[Octongulus]]
 
|{10,100 (0,0,0,0,0,0,0,0,1) 2}
 
|-
 
|[[Goplexulus]]
 
|\(\lbrace10,100 (\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1) 2\rbrace\) = {10,100 ((1)1) 2}
 
|-
 
|[[Godtothol]]
 
|E100#^#^#^#100
 
|}
 
 
[[List of googologisms/Double exponentiated polynomial omega level|'''More...''']]
 
 
==Triple exponentiated polynomial omega level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Extendol]]
 
|s(3,3{1`2}2)
 
|-
 
|[[Graltothol]]
 
|E100#^#^#^##100
 
|-
 
|[[Goduplexulus]]
 
|{10,100 ((100)1) 2}
 
|-
 
|[[Thraeltothol]]
 
|E100#^#^#^###100
 
|-
 
|[[Terinntothol]]
 
|E100#^#^#^####100
 
|-
 
|[[Pentaeltothol]]
 
|E100#^#^#^#####100
 
|-
 
|[[Godtertol]]
 
|E100#^#^#^#^#100
 
|-
 
|[[Gotriplexulus]]
 
|\(\lbrace 10,100 ((\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1)1) 2\rbrace\) = {10,100 (((1)1)1) 2}
 
|}
 
 
[[List of googologisms/Triple exponentiated polynomial omega level|'''More...''']]
 
 
==Iterated Cantor normal form level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Graltertol]]
 
|E100#^#^#^#^##100
 
|-
 
|[[Thraeltertol]]
 
|E100#^#^#^#^###100
 
|-
 
|[[Godtopol]]
 
|E100#^#^#^#^#^#100
 
|-
 
|[[Graltopol]]
 
|E100#^#^#^#^#^##100
 
|-
 
|[[Godhathor]]
 
|E100#^#^#^#^#^#^#100
 
|-
 
|[[Godheptol]]
 
|E100#^#^#^#^#^#^#^#100
 
|-
 
|[[Godoctol]]
 
|E100#^#^#^#^#^#^#^#^#100
 
|-
 
|[[Godentol]]
 
|E100#^#^#^#^#^#^#^#^#^#100
 
|-
 
|[[Goddekathol]]
 
|E100#^#^#^#^#^#^#^#^#^#^#100
 
|-
 
|[[Tethrathoth]]
 
|E100#^^#100
 
|-
 
|[[Goppatoth]]
 
|10↑↑100 [[Array of|&amp;]] 10
 
|-
 
|[[Giaquaxul]]
 
|200![200,200,200,200]
 
|}
 
 
[[List of googologisms/Iterated Cantor normal form level|'''More...''']]
 
 
==Epsilon level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Grand tethrathoth]]
 
|E100#^^#100#2
 
|-
 
|[[Goppatothplex]]
 
|10↑↑(goppatoth) & 10
 
|-
 
|[[Grantethrathoth]]
 
|E100#^^#100#100
 
|-
 
|[[Tethratrithoth]]
 
|E100#^^#100#^^#100
 
|-
 
|[[Deutero-tethrathoth]]
 
|E100#^^#*#^^#100
 
|-
 
|[[Hecato-tethrathoth]]
 
|E100(#^^#)^#100
 
|-
 
|[[Monster-Giant]]
 
|E100(#^^#)^(#^^#)^#100
 
|-
 
|[[Super Monster-Giant]]
 
|E100(#^^#)^(#^^#)^(#^^#)^#100
 
|-
 
|[[Terrible tethrathoth]]
 
|E100(#^^#)^^#100
 
|-
 
|[[Terrible terrible tethrathoth]]
 
|E100((#^^#)^^#)^^#100
 
|-
 
|[[Tethrathoth ba'al]]
 
|E100#^^#>#100
 
|-
 
|[[Great and Terrible Tethrathoth]]
 
|E100#^^#>#100#2
 
|-
 
|[[Gippatoth]]
 
|100↑↑(2 × 100) & 10
 
|-
 
|[[Gappatoth]]
 
|100↑↑(3 × 100) & 10
 
|-
 
|[[Geepatoth]]
 
|100↑↑(4 × 100) & 10
 
|-
 
|[[Grangol-carta-tethriterator]]
 
|E100#^^#>#100#100
 
|-
 
|[[Tethriterhecate]]
 
|E100#^^#>#*#100
 
|-
 
|[[Deutero-tethriterator]]
 
|E100#^^#>#*#^^#>#100
 
|-
 
|[[Tethriterfact]]
 
|E100(#^^#>#)^#100
 
|-
 
|[[Terrible tethriterator]]
 
|E100(#^^#>#)^^#100
 
|-
 
|[[Tethriditerator]]
 
|E100#^^#>(#+#)100
 
|-
 
|[[Tethrigriditerator]]
 
|E100#^^#>##100
 
|-
 
|[[Tethrispatialator]]
 
|E100#^^#>#^#100
 
|-
 
|[[Dustaculated-tethrathoth]]
 
|E100#^^#>#^^#100
 
|-
 
|[[Tristaculated-tethrathoth]]
 
|E100#^^#>#^^#>#^^#100
 
|-
 
|[[Tethracross]]
 
|E100#^^##100
 
|-
 
|[[Boppatoth]]
 
|100↑↑(100<sup>2</sup>) & 10
 
|}
 
 
[[List of googologisms/Epsilon level|'''More...''']]
 
 
==Binary phi level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Terrible tethracross]]
 
|E100(#^^##)^^#100
 
|-
 
|[[Secundotethrated-tethracross]]
 
|E100(#^^##)^^##100
 
|-
 
|[[Tethritercross]]
 
|E100#^^##>#100
 
|-
 
|[[Dustaculated-tethracross]]
 
|E100#^^##>#^^##100
 
|-
 
|[[Tethracubor]]
 
|E100#^^###100
 
|-
 
|[[Troppatoth]]
 
|100↑↑(100<sup>3</sup>) & 10
 
|-
 
|[[Terrible tethracubor]]
 
|E100(#^^###)^^#100
 
|-
 
|[[Tethraducubor]]
 
|E100(#^^###)^^###100
 
|-
 
|[[Tethritercubor]]
 
|E100#^^###>#100
 
|-
 
|[[Dustaculated-tethracubor]]
 
|E100#^^###>#^^###100
 
|-
 
|[[Tethrateron]]
 
|E100#^^####100
 
|-
 
|[[Quadroppatoth]]
 
|100↑↑(100<sup>4</sup>) & 10
 
|-
 
|[[Terrible tethrateron]]
 
|E100(#^^####)^^#100
 
|-
 
|[[Tethraduteron]]
 
|E100(#^^####)^^####100
 
|-
 
|[[Tethra-hectateron]]
 
|E100#^^####>#100
 
|-
 
|[[Dustaculated-tethrateron]]
 
|E100#^^####>#^^####100
 
|-
 
|[[Tethrapeton]]
 
|E100#^^#^#5
 
|-
 
|[[Tethrahexon]]
 
|E100#^^#^#6
 
|-
 
|[[Tethrahepton]]
 
|E100#^^#^#7
 
|-
 
|[[Tethra-ogdon]]
 
|E100#^^#^#8
 
|-
 
|[[Tethrennon]]
 
|E100#^^#^#9
 
|-
 
|[[Tethradekon]]
 
|E100#^^#^#10
 
|-
 
|[[Tethrafact]]
 
|E100#^^#^#100
 
|-
 
|[[Tethrato-tethrathoth]]
 
|E100#^^#^^#100
 
|-
 
|[[Tethrarxitet]]
 
|E100#^^#^^#^^#100
 
|-
 
|[[Pentacthulhum]]
 
|E100#^^^#100
 
|}
 
 
[[List of googologisms/Binary phi level|'''More...''']]
 
 
==Bachmann's collapsing level==
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Pentacthuldugon]]
 
|E100(#^^^#)^^^#100
 
|-
 
|[[Pentacthuliterator]]
 
|E100#^^^#>#100
 
|-
 
|[[Hugexul]]
 
|200![200(1)200]
 
|-
 
|[[Superior Hugexul]]
 
|200![200(1)200,200]
 
|-
 
|[[Dustaculated-pentacthulhum]]
 
|E100#^^^#>#^^^#100
 
|-
 
|[[Pentacthulcross]]
 
|E100#^^^##100
 
|-
 
|[[Bisuperior Hugexul]]
 
|200![200(1)200,200,200]
 
|-
 
|[[Pentacthulcubor]]
 
|E100#^^^###100
 
|-
 
|[[Pentacthulteron]]
 
|E100#^^^####100
 
|-
 
|[[Pentacthultope]]
 
|E100#^^^#^#100
 
|-
 
|[[Pentacthularxitri]]
 
|E100#^^^#^^^#100
 
|-
 
|[[Hexacthulhum]]
 
|E100#^^^^#100
 
|-
 
|[[Hugebixul]]
 
|200![200(1)200(1)200]
 
|-
 
|[[Hexacthuliterator]]
 
|E100#^^^^#>#100
 
|-
 
|[[Superior Hugebixul]]
 
|200![200(1)200(1)200,200]
 
|-
 
|[[Hexacthulcross]]
 
|E100#^^^^##100
 
|-
 
|[[Heptacthulhum]]
 
|E100#{5}#100
 
|-
 
|[[Hugetrixul]]
 
|200![200(1)200(1)200(1)200]
 
|-
 
|[[Ogdacthulhum]]
 
|E100#{6}#100
 
|-
 
|[[Hugequaxul]]
 
|200![200(1)200(1)200(1)200(1)200]
 
|-
 
|[[Ennacthulhum]]
 
|E100#{7}#100
 
|-
 
|[[Dekacthulhum]]
 
|E100#{8}#100
 
|-
 
|[[Goliath]]
 
|E100#{10}#100
 
|-
 
|[[Godsgodgulus]]
 
|E100#{#}#100
 
|-
 
|[[Godsgodgulcross]]
 
|E100#{#}##100
 
|-
 
|[[Godsgodeus]]
 
|E100#{#+#}#100
 
|-
 
|[[The centurion]]
 
|E100#{#^#}#100
 
|-
 
|[[Ohmygosh-ohmygosh-ohmygooosh]]
 
|E100#{#{#}#}#100
 
|-
 
|[[Blasphemorgulus]]
 
|E100{#,#,1,2}100
 
|-
 
|[[Hundrelasphemorgue]]
 
|E100{#,#+1,1,2}100
 
|-
 
|[[Enormaxul]]
 
|200![200(2)200]
 
|-
 
|[[Superior Enormaxul]]
 
|200![200(2)200,200]
 
|-
 
|[[Bisuperior Enormaxul]]
 
|200![200(2)200,200,200]
 
|-
 
|[[Enormabixul]]
 
|200![200(2)200(2)200]
 
|-
 
|[[Enormatrixul]]
 
|200![200(2)200(2)200(2)200]
 
|-
 
|[[Enormaquaxul]]
 
|200![200(2)200(2)200(2)200(2)200]
 
|-
 
|[[Destruxul]]
 
|200![200(200)200]
 
|-
 
|[[Great Destruxul]]
 
|200![200(200)200(200)200]
 
|-
 
|[[Bigreat Destruxul]]
 
|200![200(200)200(200)200(200)200]
 
|-
 
|[[Bird's number]]
 
|\(f_{\vartheta(\Omega^{\omega})+2}(f_{\vartheta(\Omega^{\omega})+1}(f_{\vartheta(\Omega^{\omega})}(f_{\vartheta(\Omega^{\omega})}(7))))\)
 
|-
 
|[[TREE(3)]] (lower bound)
 
|
 
|-
 
|[[Destrubixul]]
 
|200![200([200(200)200])200]
 
|-
 
|[[Destrutrixul]]
 
|200![200([200([200(200)200])200])200]
 
|-
 
|[[Destruquaxul]]
 
|200![200([200([200([200(200)200])200])200])200]
 
|-
 
|Golapulus
 
|10<sup>100</sup>&10&10
 
|-
 
|[[Extremexul]]
 
|200![1(1)[<sub>2</sub>200,200,200,200]]
 
|}
 
 
[[List of googologisms/Bachmann's collapsing level|'''More...''']]
 
 
==Higher computable level==
 
 
Since the comparison (or even the well-definedness) of numbers of this level is unknown, the order of entries does not necessarily imply the order of the sizes. Also, several numbers are defined by an OCF, which is uncomputable, and are not known to be computable.
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Extremebixul]]
 
|200![1(1)[<sub>2</sub>200,200,200,200,200]]
 
|-
 
|[[Extremetrixul]]
 
|200![1(1)[<sub>2</sub>200,200,200,200,200,200]]
 
|-
 
|[[Extremequaxul]]
 
|200![1(1)[<sub>2</sub>200,200,200,200,200,200,200]]
 
|-
 
|[[Gigantixul]]
 
|200![1(1)[<sub>3</sub>200,200,200]]
 
|-
 
|[[Gigantibixul]]
 
|200![1(1)[<sub>3</sub>200,200,200,200]]
 
|-
 
|[[Gigantitrixul]]
 
|200!1(1)[<sub>3</sub>200,200,200,200,200]]
 
|-
 
|[[Gigantiquaxul]]
 
|200![1(1)[<sub>3</sub>200,200,200,200,200,200]]
 
|-
 
|[[Nucleaxul]]
 
|200![<sub>200</sub>200]
 
|-
 
|[[Nucleabixul]]
 
|200![<sub>[<sub>200</sub>200]</sub>200]
 
|-
 
|[[Subcubic graph number|SCG(13)]] (lower bound)
 
|
 
|-
 
|[[Nucleatrixul]]
 
|200![<sub>[<sub>[<sub>200</sub>200]</sub>200]</sub>200]
 
|-
 
|[[Nucleaquaxul]]
 
|200![<sub>[<sub>[<sub>[<sub>200</sub>200]</sub>200]</sub>200]</sub>200]
 
|-
 
|[[BIGG]]
 
|200?
 
|-
 
|[[Loader's number]]
 
|D<sup>5</sup>(99)
 
|-
 
|[[Bashicu matrix system|Bashicu matrix number]] with respect to Bashicu matrix system version 2.3
 
|
 
|-
 
|[[N primitive#Large_Number|6]] (N primitive)
 
|
 
|-
 
|[[Y sequence|Y sequence number]]
 
|f<sup>2000</sup>(1)
 
|-
 
|[[Transcendental integer|the least transcendental integer]]
 
|
 
|}
 
 
[[List of googologisms/Higher computable level|'''More...''']]
 
 
==Uncomputable numbers==
 
 
The term "uncomputable number" here refers to the numbers defined in terms of [[Uncomputable function|uncomputably fast-growing functions]]. This table contains large numbers which are known to be ill-defined. For more details on the ill-definedness, click the "More..." link below.
 
 
{|
 
!Name
 
!Value
 
|-
 
|[[Rado's sigma function|\(\Sigma(1,000)\)]]
 
|
 
|-
 
|[[Fish number 4]]
 
|F<sub>4</sub><sup>63</sup>(3)
 
|-
 
|[[Xi function|\(\Xi(10^6)\)]]
 
|
 
|-
 
|[[Infinite_time_Turing_machine|\(\Sigma_\infty(10^9)\)]]
 
|
 
|-
 
|[[Rayo's number]]
 
|Rayo(10<sup>100</sup>)
 
|-
 
|[[Fish number 7]]
 
|F<sub>7</sub><sup>63</sup>(10<sup>100</sup>)
 
|-
 
|[[BIG FOOT]]
 
|FOOT<sup>10</sup>(10<sup>100</sup>)
 
|-
 
|[[Little Bigeddon]]
 
|
 
|-
 
|[[Sasquatch]]
 
|
 
|}
 
 
[[List of googologisms/Uncomputable numbers|'''More...''']]
 
 
== Notes ==
 
<references />[[ja:数の一覧]]
 
[[zh:大數列表]]
 
[[cs:Seznam googolismů]]
 
 
[[Category:Lists]]
 
[[Category:Lists]]
 
[[Category:Classes]]
 
[[Category:Classes]]

Revision as of 20:19, December 29, 2019

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