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+ | [[File:Googolchunk.png|thumb|300px|Googolchunk gallons of water, compared with googol, googolcrumb, googolspeck and tiny twerpuloid.]] |
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− | A '''duotrigintillion''' |
+ | A '''duotrigintillion''' or '''triginti-deutillion'''<ref>https://sites.google.com/site/largenumbers/home/appendix/a/numbers</ref> is equal to \(10^{99}\), or one-tenth of a googol.<ref>[http://www.unc.edu/~rowlett/units/large.html]</ref> |
In the [[long scale]] which is commonly used in France and Germany, \(10^{99}\) is called '''sexdecilliard'''. |
In the [[long scale]] which is commonly used in France and Germany, \(10^{99}\) is called '''sexdecilliard'''. |
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+ | [[Sbiis Saibian]] gave the name '''googolchunk''', referring to the value of this number.<ref>{{cite web|first=Sbiis|last=Saibian|title=Hyper-E Numbers|url=https://sites.google.com/site/largenumbers/home/4-3/Hyper-E|accessdate=2015-08-11}}</ref> |
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+ | |||
+ | The number is also called '''pen-bitillion''' by SuperJedi224, and it's equal to H*(2<sup>5</sup>) = H*(32) using [[H* function]].<ref>[https://sites.google.com/site/sjpgoogol/illions -Illions - Almost Infinite]</ref> |
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+ | |||
+ | 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> |
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+ | |||
+ | == Decimal expansion == |
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+ | {{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}} |
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+ | == Approximations == |
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+ | {| border="0" cellpadding="1" cellspacing="1" class="article-table" |
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+ | |- |
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+ | ! scope="col"|Notation |
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+ | ! scope="col"|Lower bound |
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+ | ! scope="col"|Upper bound |
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+ | |- |
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+ | |[[Scientific notation]] |
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+ | |colspan="2" align="center"|\(1\times10^{99}\) |
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+ | |- |
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+ | |[[Arrow notation]] |
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+ | |colspan="2" align="center"|\(10\uparrow99\) |
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+ | |- |
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+ | |[[Steinhaus-Moser Notation]] |
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+ | |56[3] |
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+ | |57[3] |
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+ | |- |
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+ | |[[Copy notation]] |
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+ | |9[99] |
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+ | |10[50] |
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+ | |- |
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+ | |[[Taro's multivariable Ackermann function]] |
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+ | |A(3,325) |
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+ | |A(3,326) |
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+ | |- |
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+ | |[[Pound-Star Notation]] |
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+ | |#*(12,11,8,3,8,4,1)*9 |
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+ | |#*(13,11,8,3,8,4,1)*9 |
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+ | |- |
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+ | |[[BEAF]] |
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+ | |colspan="2" align="center"|{10,99} |
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+ | |- |
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+ | |[[Bashicu matrix system]] |
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+ | |(0)(0)(0)(0)(0)[1240] |
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+ | |(0)(0)(0)(0)(0)[1241] |
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+ | |- |
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+ | |[[Hyperfactorial array notation]] |
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+ | |69! |
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+ | |70! |
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+ | |- |
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+ | |[[Fast-growing hierarchy]] |
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+ | |\(f_2(320)\) |
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+ | |\(f_2(321)\) |
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+ | |- |
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+ | |[[Hardy hierarchy]] |
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+ | |\(H_{\omega^2}(320)\) |
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+ | |\(H_{\omega^2}(321)\) |
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+ | |- |
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+ | |[[Slow-growing hierarchy]] |
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+ | |colspan="2" align="center"|\(g_{\omega^{\omega9+9}}(10)\) |
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+ | |} |
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+ | |||
⚫ | |||
{| |
{| |
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− | + | == Sources == |
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− | <references/> |
+ | <references /> |
− | == |
+ | == See also == |
+ | * [[Duotrigintatrecentillion]] |
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+ | * [[Trimilliaduotrigintatrecentillion]] |
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+ | * [[Tremyriatrimilliaduotrigintatrecentillion]] |
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+ | * [[Trecentimilliatremyriatrimilliaduotrigintatrecentillion]] |
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+ | * [[Tremilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecendotrigintillion]] |
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{{illion}} |
{{illion}} |
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+ | {{Saibian's guppy regiment numbers}} |
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+ | {{Googology in Asia}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Illion]] |
[[Category:Illion]] |
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[[Category:Class 2]] |
[[Category:Class 2]] |
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+ | [[Category:Trigintillion]] |
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+ | [[Category:Powers of 10 with exponent not ending in a 0 or a 3]] |
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+ | [[Category:Numbers with 30 to 100 digits]] |
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+ | [[Category:Numbers with 101 to 999 digits]] |
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+ | [[Category:Tier 1 -illion numbers]] |
Revision as of 15:21, 18 April 2019
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
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
See also
- Duotrigintatrecentillion
- Trimilliaduotrigintatrecentillion
- Tremyriatrimilliaduotrigintatrecentillion
- Trecentimilliatremyriatrimilliaduotrigintatrecentillion
- Tremilliamilliamilliatrecentretriginmilliamilliatrecentretriginmilliatrecendotrigintillion
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
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)
Gogol group: (binary/ternary/octal)gogolspeck · (binary/ternary/octal)gogolcrumb · (binary/ternary/octal)gogolchunk · (ternary/quadternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)gogol(bit/byte)
Jumbo shrimp group: (binary/ternary/octal)jumbo shrimp
Lightweight group: (binary/ternary/octal)lightweight
Ogol group: (binary/ternary/octal)ogolspeck · (binary/ternary/octal)ogolcrumb · (binary/ternary/octal)ogolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)ogol(bit/byte)
Tiny twerpuloid group: (binary/ternary/octal)tiny twerpuloid
Googol group: (binary/ternary/octal)googolspeck · (binary/ternary/octal)googolcrumb · (binary/ternary/octal)googolchunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)googol*(bit/byte) · googolbunch · googolcrowd · googolswarm
Eceton group: ecetonspeck · ecetoncrumb · ecetonchunk · ecetonbunch · ecetoncrowd · ecetonswarm
*Not Saibian's
-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
-duplex group: milliduplexion · billiduplexion · trilliduplexion · guppyduplex · googolduplexibit · gogolduplex · googolduplexibyte · ecetonduplex · googolduplexichime · googolduplexitoll · googolduplexigong · googolduplexibong · googolduplexithrong
-triplex group: millitriplexion · billitriplexion · trillitriplexion · guppytriplex · googoltriplexibit · gogoltriplex · googoltriplexibyte · ecetontriplex · googoltriplexichime · googoltriplexitoll · googoltriplexigong · googoltriplexithrong
-quadriplex group: guppyquadriplex · googolquadriplexibit · gogolquadriplex · googolquadriplexibyte · ecetonquadriplex · googolquadriplexichime · googolquadriplexitoll · googolquadriplexigong
-quintiplex group: guppyquintiplex · googolquintiplexibit · gogolquintiplex · googolquintiplexibyte · ecetonquintiplex · googolquintiplexichime · googolquintiplexitoll · googolquintiplexigong
-sextiplex group: guppysextiplex · googolsextiplexibit · gogolsextiplex · googolsextiplexibyte · ecetonsextiplex · googolsextiplexichime · googolsextiplexitoll · googolsextiplexigong
-septiplex group: guppyseptiplex · googolseptiplexibit · gogolseptiplex · googolseptiplexibyte · ecetonseptiplex · googolseptiplexichime · googolseptiplexitoll · googolseptiplexigong
-octiplex group: guppyoctiplex · googoloctiplexibit · gogoloctiplex · googoloctiplexibyte · ecetonoctiplex · googoloctiplexichime · googoloctiplexitoll · googoloctiplexigong
-noniplex group: guppynoniplex · googolnoniplexibit · gogolnoniplex · googolnoniplexibyte · ecetonnoniplex · googolnoniplexichime · googolnoniplexitoll · googolnoniplexigong
-deciplex group: guppydeciplex · googoldeciplexibit · gogoldeciplex · googoldeciplexibyte · ecetondeciplex · googoldeciplexichime · googoldeciplexitoll · googoldeciplexigong · googoldeciplexibong · googoldeciplexithrong
-vigintiplex group: guppyvigintiplex · googolvigintiplexibit · gogolvigintiplex · googolvigintiplexibyte · eceton-vigintiplex · googolvigintiplexichime · googolvigintiplexitoll · googolvigintiplexigong
-trigintiplex group: guppytrigintiplex · googoltrigintiplexibit · gogoltrigintiplex · googoltrigintiplexibyte · eceton-trigintiplex · googoltrigintiplexichime · googoltrigintiplexitoll · googoltrigintiplexigong
-quadragintiplex group: guppyquadragintiplex · googolquadragintiplexibit · gogolquadragintiplex · googolquadragintiplexibyte · eceton-quadragintiplex · googolquadragintiplexichime · googolquadragintiplexitoll · googolquadragintiplexigong
-quinquagintiplex group: guppyquinquagintiplex · googolquinquagintiplexibit · gogolquinquagintiplex · googolquinquagintiplexibyte · eceton-quinquagintiplex · googolquinquagintiplexichime · googolquinquagintiplexitoll · googolquinquagintiplexigong
-sexagintiplex group: guppysexagintiplex · googolsexagintiplexibit · gogolsexagintiplex · googolsexagintiplexibyte · eceton-sexagintiplex · googolsexagintiplexichime · googolsexagintiplexitoll · googolsexagintiplexigong
-septuagintiplex group: guppyseptuagintiplex · googolseptuagintiplexibit · gogolseptuagintiplex · googolseptuagintiplexibyte · eceton-septuagintiplex · googolseptuagintiplexichime · googolseptuagintiplexitoll · googolseptuagintiplexigong
-octogintiplex group: guppyoctogintiplex · googoloctogintiplexibit · gogoloctogintiplex · googoloctogintiplexibyte · eceton-octogintiplex · googoloctogintiplexichime · googoloctogintiplexitoll · googoloctogintiplexigong
-nonagintiplex group: guppynonagintiplex · googolnonagintiplexibit · gogolnonagintiplex · googolnonagintiplexibyte · eceton-nonagintiplex · googolnonagintiplexichime · googolnonagintiplexitoll · googolnonagintiplexigong
-centiplex group: guppycentiplex · googolcentiplexibit · gogolcentiplex · googolcentiplexibyte · eceton-centiplex · googolcentiplexichime · googolcentiplexitoll · googolcentiplexigong · googolcentiplexibong · googolcentiplexithrong
-milliplex group: guppymilliplex · googolmilliplexibit · gogolmilliplex · googolmilliplexibyte · eceton-milliplex · googolmilliplexichime · googolmilliplexitoll · googolmilliplexigong · googolmilliplexibong · googolmilliplexithrong
-milli-milliplex group: guppymilli-milliplex · googolmilli-milliplexibit · gogolmilli-milliplex · googolmilli-milliplexibyte · eceton-millimilliplex · googolmillimilliplexichime · googolmillimilliplexitoll · googolmillimilliplexigong · googolmillimilliplexibong · googolmillimilliplexithrong
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