Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

Googolplexithrong is equal to 1010100,000,000,000 = E100,000,000,000#2 = EE100,000,000,000 = 10101011 using Hyper-E notation.[1] The name was coined by Sbiis Saibian. It is equal to one followed by a googolthrong (ten trestriginmillitrestrigintatrecenmillitrestrigintatrecenmilliduotrigintatrecentillion) zeros. It is 10100,000,000,000+1 digits long.

Aarex Tiaokhiao gave the name googolplexitrine, referring to the value of this number.[2]

Writing down the full decimal expansion would take 1099,999,999,994 books of 400 pages each, with 2,500 digits on each page. (except for the first, which would have 2,501).

Etymology[]

The 2 parts of the name "googolplexithrong", "googolplex" and "throng" means \(10^{10^{100}}\) and -throng, the suffix which multiplies the base value by 1,000,000,000, which formed 1010100,000,000,000 when concentrated from left to right. So the full name indicates how the number is constructed.

The name "googolplexitrine" is based on the number googolplex and the suffix -trine.

Approximations in other notations[]

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow10\uparrow11\)
Down-arrow notation \(10\downarrow\downarrow(10\downarrow11+1)\)
Steinhaus-Moser Notation 9[3][3][3] 10[3][3][3]
Copy notation 9[9[9[11]]] 1[1[1[12]]]
Chained arrow notation \(10\rightarrow(10\rightarrow(10\rightarrow11))\)
H* function H(H(H(2))) H(H(H(3)))
Taro's multivariable Ackermann function A(3,A(3,A(3,26))) A(3,A(3,A(3,27)))
BEAF {10,{10,{10,11}}}
Bashicu matrix system (0)(1)[576] (0)(1)[577]
Bird's array notation {10,{10,{10,11}}}
Hyperfactorial array notation ((7!)!)! ((8!)!)!
Strong array notation s(10,(10,(10,11)))
Fast-growing hierarchy \(f_2^3(30)\) \(f_2^3(31)\)
Hardy hierarchy \(H_{\omega^23}(30)\) \(H_{\omega^23}(31)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^{\omega+1}}}}(10)\)

Sources[]

  1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-14.
  2. Aarex Tiaokhiao's large numbers site[dead link]

See also[]

n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
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
Numbers with -plex
-plex group: (fz-)milliplexion · billiplexion · trilliplexion · guppyplex · googolplexibit · gogolplex · googolplexibyte · ecetonplex · googolplexichime · googolplexitoll · googolplexigong · googolplexibong · googolplexithrong
-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

Aarex Tiaokhiao's Hyper-E series

Hyper-E series: Googolmine · Googoltrine · Googolquadrine · Googolpleximine · Googolplexitrine · Googoldupleximine · Googoltripleximine · Googolquadripleximine · Powergolmine · Enneowergol · Enneowergolennex · Decowergol · Decowergoldecex
Extended Hyper-E series: Gooemeralnona · Gooemeraldeca · Gooemeralelevened · Gooemeraldozed · Grandogoogolplex · Grandogoogoldex · Grandogoogolsuplex · Grandogoogolsusuplex · Grandogoogoltetrasuplex · Grandogoogolgrandoplex · Giyottatogoogol · Ginovatogoogol · Gitenatogoogol · Gitenakilotogoogol
Nested Hyper-E series: Triabiogodgahlah · Triabiobodgahlah · Triatriogodgahlah · Tetrabiogodgahlah · Tetrabiotriabiogodgahlah · Pentabiogodgahlah · Hexabiogodgahlah · Megogodgahlah · Megunogodgahlah · Megbiogodgahlah · Biomegogodgahlah · Biomegunogodgahlah · Biomegbiogodgahlah · Triomegogodgahlah · Gigogodgahlah · Terogodgahlah · Omegogodgahlah

Advertisement