Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

The binary-googolchime is equal to 21,000 ≒ 1.071509×10301 or approximately 10.72 novenonagintillion in short scale or 10.72 quinquagintillion in long scale.[1] The term was coined by Sbiis Saibian.

Username5243 calls this number Binary-Goomol, and it's equal to 2[1]1,000 in Username5243's Array Notation.[2]

Decimal expansion[]

10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376

Approximations[]

Notation Lower bound Upper bound
Scientific notation \(1.071\times10^{301}\) \(1.072\times10^{301}\)
Arrow notation \(2\uparrow1000\), \(4↑500\), \(16↑250\)
Steinhaus-Moser Notation 140[3] 141[3]
Copy notation 10[151] 1[302]
Chained arrow notation \(2→1000\), \(4→500\), \(16→250\)
Taro's multivariable Ackermann function A(3,997) A(3,998)
Pound-Star Notation #*((253))*11 #*((254))*11
BEAF {2,1000}, {4,500}, {16,250}
Bashicu matrix system (0)(0)(0)(0)(0)(0)[50535] (0)(0)(0)(0)(0)(0)[50536]
Bird's array notation {2,1000}, {4,500}, {16,250}
Hyperfactorial array notation 167! 168!
Strong array notation s(2,1000), s(4,500), s(16,250)
Fast-growing hierarchy \(f_2(990)\) \(f_2(991)\)
Hardy hierarchy \(H_{\omega^2}(990)\) \(H_{\omega^2}(991)\)
Slow-growing hierarchy \(g_{\omega^{\omega \times 15+10}}(16)\)

Sources[]

  1. Saibian, Sbiis. Hyper-E Notation. Retrieved 2016-07-18.
  2. Part 1 - My Large Numbers

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

Googol Regiment
Niloogol · Niloogolplex · Niloogolduplex · Niloogoltriplex · Niloogolquadriplex · Niloogolquintiplex · Niloogolsextiplex · Niloogolseptiplex · Niloogoloctiplex · Niloogolnoniplex · Goonol · Goodol · Gootol · Gooquol · Gooqnol · Goosol · Goospol · Gooctol · Goonvol· Goodcol · Goovol · Gooqtol · Gootirol · Gooqrol · Goohfol · Gooxtol · Goostol · Gootgol · Goontol · Gooducol · Gooqnicol · Goomol · Goomyrol · Binary-Googol · Binary-Goonol · Binary-Goodol · Binary-Gootol · Binary-Gooquol · Binary-Gooqnol · Binary-Goovol · Binary-Gooqtol · Binary-Gootirol · Binary-Goohfol · Binary-Goomol · Binary-Goomyrol · Ternary-Googol · Ternary-Goonol · Ternary-Goodol · Ternary-Gooqnol · Ternary-Goodcol · Ternary-Gooqtol · Ternary-Goohfol · Ternary-Goomol · Ternary-Goomyrol · Quaternary-Googol · Quinary-Googol · Senary-Googol · Septary-Googol · Octal-Googol · Octal-Goonol · Octal-Goodol · Octal-Gooqnol · Octal-Goodcol · Octal-Gooqtol · Octal-Goohfol · Octal-Goomol · Octal-Goomyrol · Novary-Googol · Undecimal-Googol · Duodecimal-Googol · Hexadecimal-Googol · Hexadecimal-Goonol · Hexadecimal-Gooqnol · Hexadecimal-Goodcol · Hexadecimal-Goohfol · Hexadecimal-Goomol · Hexadecimal-Goomyrol · Vigesimal-Googol · Trigesimal-Googol · Sexagesimal-Googol · Googolnilex · Niloogolunex · Goonolplex · Goodolplex · Gootolplex · Gooquolplex · Gooqnolplex · Goosolplex · Goospolplex · Gooctolplex · Goonvolplex · Goodcolplex · Goovolplex · Gooqtolplex · Goohfolplex · Gooducolplex · Goomolplex · Goomyrolplex · Binary-Googolplex · Binary-Goonolplex · Binary-Gooqnolplex · Binary-Goodcolplex · Binary-Goohfolplex · Binary-Goomolplex · Ternary-Googolplex · Quaternary-Googolplex · Quinary-Googolplex · Octal-Googolplex · Duodecimal-Googolplex · Hexadecimal-Googolplex · Vigesimal-Googolplex · Sexagesimal-Googolplex · Googolduplex · Gooqnolduplex · Goodcolduplex · Goomolduplex · Goomyrolduplex · Binary-Googolduplex · Hexadecimal-Googolduplex · Googoltriplex · Goomoltriplex · Googolquadriplex · Googolquintiplex · Googolsextiplex · Googolseptiplex · Googoloctiplex · Googolnoniplex · Googoldeciplex
Doogol Regiment
Doogol · Doonol · Doodol · Dootol · Dooquol · Dooqnol · Doosol · Doospol · Dooctol · Doonvol · Doodcol · Doovol · Dooqtol · Dootrol · Dooqrol · Doohfol · Dooxtol · Doostol · Dootgol · Doontol · Dooducol · Dooqnicol · Doomol · Doomyrol · Binary-Doogol · Binary-Doonol · Binary-Doodol · Binary-Dootol · Binary-Dooquol · Binary-Dooqnol · Binary-Doodcol · Binary-Doovol · Binary-Doohfol · Binary-Doomol · Binary-Doomyrol · Ternary-Doonol · Ternary-Doodol · Ternary-Dooqnol · Ternary-Doodcol · Ternary-Doogol · Ternary-Doomol · Quaternary-Doogol · Quinary-Doogol · Octal-Doogol · Octal-Doonol · Octal-Dooqnol · Octal-Doodcol · Octal-Doomol · Duodecimal-Doogol · Hexadecimal-Doogol · Vigesimal-Doogol · Doogolunex · Doogolduunex · Doogoltriunex · Doogolquadriunex · Googolduex · Goonolduex · Goodolduex · Gooqnolduex · Goodcolduex · Goovolduex · Goohfolduex · Goomolduex · Goomyrolduex · Binary-Googolduex · Binary-Goodcolduex · Binary-Goomolduex · Ternary-Googolduex · Octal-Googolduex · Hexadecimal-Googolduex · Googolplexiduex · Gooqnolplexiduex · Goodcolplexiduex · Goomolplexiduex · Binary-Googolplexiduex · Googolduplexiduex · Goodcolduplexiduex · Googoltriplexiduex · Googolquadriplexiduex · Googolquintiplexiduex · Doogolplex · Doogolduex · Dooqnolplex · Doodcolplex · Doovolplex · Dooqtolplex · Doohfolplex · Doomolplex · Doomyrolplex · Binary-Doogolplex · Binary-Doodcolplex · Binary-Doomolplex · Ternary-Doogolplex · Octal-Doogolplex · Hexadecimal-Doogolplex · Googolduduex · Goodcolduduex · Goomolduduex · Binary-Googolduduex · Googolplexiduduex · Goodcolplexiduduex · Googolduplexiduduex · Googoltriplexiduduex · Googolquadriplexiduduex · Doogolduplex · Doodcolduplex · Doomolduplex · Doomyrolduplex · Binary-Doogolduplex · Googolplexitriduex · Googolduplexitriduex · Doogoltriplex · Googolquadriduex · Googolplexiquadriduex · Doogolquadriplex · Googolquintiduex · Doogolquintiplex · Doogolsextiplex · Doogolseptiplex · Doogoloctiplex · Doogolnoniplex · Doogoldeciplex
Toogol Regiment
Toogol · Toonol · Toodol · Tootol · Tooquol · Tooqnol · Toosol · Toospol · Tooctol · Toonvol · Toodcol · Toovol · Tooqtol · Tootrol · Tooqrol · Toohfol · Tooducol · Toomol · Toomyrol · Binary-Toogol · Binary-Toodol · Binary-Tootol · Binary-Tooquol · Binary-Tooqnol · Binary-Toodcol · Binary-Toohfol · Binary-Toomol · Ternary-Toogol · Ternary-Toodol · Ternary-Tooqnol · Ternary-Toodcol · Ternary-Toomol · Quaternary-Toogol · Octal-Toogol · Octal-Toodcol · Duodecimal-Toogol · Hexadecimal-Toogol · Toogolunex · Toogolduunex · Toogolduex · Toogolplexiduex · Toogolduexiplex · Toogolduduex · Googoltrex · Goonoltrex · Gooqnoltrex · Goodcoltrex · Goohfoltrex · Goomoltrex · Goomyroltrex · Binary-Googoltrex · Ternary-Googoltrex · Octal-Googoltrex · Hexadecimal-Googoltrex · Googolplexitrex · Goodcolplexitrex · Goomolplexitrex · Binary-Googolplexitrex · Googolduplexitrex · Googoltriplexitrex · Googolquadriplexitrex · Doogoltrex · Dooqnoltrex · Doodcoltrex · Doomoltrex · Doomyroltrex · Binary-Doogoltrex · Octal-Doogoltrex · Hexadecimal-Googoltrex · Googolduexitrex · Goodcolduexitrex · Goomolduexitrex · Binary-Googolduexitrex · Googolplexiduexitrex · Googolduplexiduexitrex · Doogolplexitrex · Doodcolplexitrex · Doomolplexitrex · Binary-Doogolplexitrex · Googolduduexitrex · Googolplexiduduexitrex · Doogolduplexitrex · Googoltriduexitrex · Doogoltriplexitrex · Doogolquadriplexitrex · Toogolplex · Toogoltrex · Toonolplex · Tooqnolplex · Toodcolplex · Toomolplex · Toomyrolplex · Binary-Toogolplex · Octal-Toogolplex · Googoldutrex · Goodcoldutrex · Googolplexidutrex · Googolduplexidutrex · Doogoldutrex · Doodcoldutrex · Googolduexidutrex · Doogolplexidutrex · Toogolduplex · Toodcolduplex · Toomolduplex · Binary-Toogolduplex · Googoltritrex · Googolplexitritrex · Doogoltritrex · Googoldexidutrex · Doogolplexitritrex · Toogoltriplex · Googolquadritrex · Doogolquadritrex · Toogolquadriplex · Toogolquintiplex · Toogolsextiplex · Toogolseptiplex · Toogoloctiplex · Toogolnoniplex · Toogoldeciplex
Higher basic series
Linear series

Megoogol · Meg-Googol · Meg-Doogol · Meg-Kiloogol · Meg-Kil-Googol · Meg-Dukiloogol · Meg-Trukiloogol · Dumegoogol · Dumeg-Googol · Dumeg-Kiloogol · Dumeg-Dukiloogol · Trumegoogol · Trumeg-Kiloogol · Tetrumegoogol · Pentumegoogol · Gigoogol · Gig-Googol · Gig-Kiloogol · Gig-Megoogol · Dugigoogol · Trugigoogol · Teroogol · Duteroogol · Truteroogol · Petoogol · Ectoogol · Zettoogol · Yottoogol · Xennoogol · Wekoogol
Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = \(a \uparrow^c b\) in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.

Advertisement