Changes: Duotrigintillion

Revision as of 15:21, 18 April 2019

Googolchunk gallons of water, compared with googol, googolcrumb, googolspeck and tiny twerpuloid.

A duotrigintillion or triginti-deutillion^[1] is equal to \(10^{99}\), or one-tenth of a googol.^[2]

In the long scale which is commonly used in France and Germany, \(10^{99}\) is called sexdecilliard.

Sbiis Saibian gave the name googolchunk, referring to the value of this number.^[3]

The number is also called pen-bitillion by SuperJedi224, and it's equal to H*(2⁵) = H*(32) using H* function.^[4]

In Buddhist text, this number is also called dvajagravati.^[5]

Decimal expansion

1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Approximations

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{99}\)
Arrow notation	\(10\uparrow99\)
Steinhaus-Moser Notation	56[3]	57[3]
Copy notation	9[99]	10[50]
Taro's multivariable Ackermann function	A(3,325)	A(3,326)
Pound-Star Notation	#(12,11,8,3,8,4,1)9	#(13,11,8,3,8,4,1)9
BEAF	{10,99}
Bashicu matrix system	(0)(0)(0)(0)(0)[1240]	(0)(0)(0)(0)(0)[1241]
Hyperfactorial array notation	69!	70!
Fast-growing hierarchy	\(f_2(320)\)	\(f_2(321)\)
Hardy hierarchy	\(H_{\omega^2}(320)\)	\(H_{\omega^2}(321)\)
Slow-growing hierarchy	\(g_{\omega^{\omega9+9}}(10)\)

List of prefixed numbers derived from trigintillion

Name	Short scale	Long scale
untrigintillion	10⁹⁶	10¹⁸⁶
duotrigintillion	10⁹⁹	10¹⁹²
tretrigintillion	10¹⁰²	10¹⁹⁸
quattuortrigintillion	10¹⁰⁵	10²⁰⁴
quintrigintillion	10¹⁰⁸	10²¹⁰
sextrigintillion	10¹¹¹	10²¹⁶
septentrigintillion	10¹¹⁴	10²²²
octotrigintillion	10¹¹⁷	10²²⁸
novemtrigintillion	10¹²⁰	10²³⁴

Sources

↑ https://sites.google.com/site/largenumbers/home/appendix/a/numbers
↑ [1]
↑ Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-08-11.
↑ -Illions - Almost Infinite
↑ Notable Properties of Specific Numbers (page 20) at MROB

1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–10²⁴: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct

Saibian's guppy regiment numbers

-minutia group

guppy-minutia · minnow-minutia · goby-minutia · gogol-minutia · ogol-minutia · googol-minutia (-speck)

n-ary numbers with multipliers

Numbers with base-multipliers

-ding group: (binary/octal)guppyding · (binary/octal)gogolding · ogolding · (binary/octal)googolding · ecetonding
-chime group: (binary/octal)guppychime · (binary/octal)gogolchime · ogolchime · (binary/octal)googolchime · ecetonchime
-bell group: guppybell · gogolbell · ogolbell · googolbell · ecetonbell
-toll group: guppytoll · gogoltoll · ogoltoll · googoltoll · ecetontoll
-gong group: guppygong · gogolgong · ogolgong · googolgong · ecetongong
-bong group: guppybong · gogolbong · ogolbong · googolbong · ecetonbong
-throng group: guppythrong · gogolthrong · ogolthrong · googolthrong · ecetonthrong
-gandingan group: guppygandingan · gogolgandingan · ogolgandingan · googolgandingan · ecetongandingan
Higher googol-n-gongs: googolquintigong · googolsextigong · googolseptigong · googoloctigong · googolnonigong · googoldecigong · googol-undecigong · googol-duodecigong · googol-tredecigong · googol-quattuordecigong · googol-quindecigong · googol-sexdecigong · googol-septendecigong · googol-octodecigong · googol-novemdecigong · googolvigintigong · googoltrigintigong · googolquadragintigong · googolquinquagintigong · googolsexagintigong · googolseptuagintigong · googoloctogintigong · googolnonagintigong · googolcentigong · googolmilligong · googolmilli-milligong

Numbers with -plex

Googology in Asia

Indian counting system: Lakh · Crore · Tallakshana · Uppala · Dvajagravati · Paduma · Mahakathana · Asankhyeya · Dvajagranisamani · Vahanaprajnapti · Inga · Kuruta · Sarvanikshepa · Agrasara · Uttaraparamanurajahpravesa · Avatamsaka Sutra · Nirabhilapya nirabhilapya parivarta · Jaghanya Parīta Asaṃkhyāta
Chinese, Japanese and Korean counting system: Wan · Yi · Zhao · Jing · Gai · Zi · Rang · Gou · Jian · Zheng · Zai · Ji · Gougasha · Asougi · Nayuta · Fukashigi · Muryoutaisuu
See also: Template:Googology in Japan

[1] ttps://sites.google.com/site/largenumbers/home/appendix/a/numbers

[2] [1]

[3] Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-08-11.

[4] -Illions - Almost Infinite

[5] Notable Properties of Specific Numbers (page 20) at MROB

[1]

[2]

[3]

[4]

[5]

@@ Line 9: / Line 9: @@
 In Buddhist text, this number is also called '''dvajagravati'''.<ref>[http://mrob.com/pub/math/numbers-20.html#lp1_b421 Notable Properties of Specific Numbers (page 20) at MROB]</ref>
+== Decimal expansion ==
+{{digits|1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000}}
+== Approximations ==
+{| border="0" cellpadding="1" cellspacing="1" class="article-table"
+|-
+! scope="col"|Notation
+! scope="col"|Lower bound
+! scope="col"|Upper bound
+|-
+|[[Scientific notation]]
+|colspan="2" align="center"|\(1\times10^{99}\)
+|-
+|[[Arrow notation]]
+|colspan="2" align="center"|\(10\uparrow99\)
+|-
+|[[Steinhaus-Moser Notation]]
+|56[3]
+|57[3]
+|-
+|[[Copy notation]]
+|9[99]
+|10[50]
+|-
+|[[Taro's multivariable Ackermann function]]
+|A(3,325)
+|A(3,326)
+|-
+|[[Pound-Star Notation]]
+|#*(12,11,8,3,8,4,1)*9
+|#*(13,11,8,3,8,4,1)*9
+|-
+|[[BEAF]]
+|colspan="2" align="center"|{10,99}
+|-
+|[[Bashicu matrix system]]
+|(0)(0)(0)(0)(0)[1240]
+|(0)(0)(0)(0)(0)[1241]
+|-
+|[[Hyperfactorial array notation]]
+|69!
+|70!
+|-
+|[[Fast-growing hierarchy]]
+|\(f_2(320)\)
+|\(f_2(321)\)
+|-
+|[[Hardy hierarchy]]
+|\(H_{\omega^2}(320)\)
+|\(H_{\omega^2}(321)\)
+|-
+|[[Slow-growing hierarchy]]
+|colspan="2" align="center"|\(g_{\omega^{\omega9+9}}(10)\)
+|}
 == List of prefixed numbers derived from trigintillion ==
@@ Line 43: / Line 97: @@
 * [[Trecentimilliatremyriatrimilliaduotrigintatrecentillion]]
 * [[Tremilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecendotrigintillion]]
 {{illion}}
 {{Saibian's guppy regiment numbers}}
@@ Line 51: / Line 106: @@
 [[Category:Trigintillion]]
 [[Category:Powers of 10 with exponent not ending in a 0 or a 3]]
-[[Category:Numbers with 67 to 100 digits]]
+[[Category:Numbers with 30 to 100 digits]]
-[[Category:Numbers with 193 to 309 digits]]
+[[Category:Numbers with 101 to 999 digits]]
+[[Category:Tier 1 -illion numbers]]