The googoc, coined with the googo- prefix, is equal to \(200^{100}\) = g(2, 100, 200) in the Ackermann's Generalized Exponential Notation.[1] It has 231 digits. The full decimal expansion is shown below:

126765060022822940149670320537600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

Notation Lower bound Upper bound
Scientific notation \(1.267\times10^{230}\) \(1.268\times10^{230}\)
Arrow notation \(200\uparrow100\)
Steinhaus-Moser Notation 112[3] 113[3]
Copy notation 1[231] 2[231]
Taro's multivariable Ackermann function A(3,761) A(3,762)
Pound-Star Notation #*((56))*10 #*((57))*10
BEAF {200,100}
Hyper-E notation E[200]100
Bashicu matrix system (0)(0)(0)(0)(0)(0)[3938] (0)(0)(0)(0)(0)(0)[3939]
Hyperfactorial array notation 134! 135!
Fast-growing hierarchy \(f_2(754)\) \(f_2(755)\)
Hardy hierarchy \(H_{\omega^2}(754)\) \(H_{\omega^2}(755)\)
Slow-growing hierarchy \(g_{\omega^{100}}(200)\)

Pronunciation

It is likely pronounced as so:

Sources

See also

Numbers by André Joyce

Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights · twelvety-twelves
Googo- series: googoli · googoliji · googoliv · googolv · googolvi · googolvij · googolix · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoolxiv · googoolxix · googoocxexviji · googood · googoodij · googoodiv · googoodvi · googoodvij · googoodix · googoodxi
Googoople- series: googovplev · googovplevi · googovplevij · googovplexi · googovplexij · googovplexiv · googovplexvi · googovplexvij · googovplexix · googovplexxi · googovplexxij
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googodul series: googogoogol
Googolplux series: googolplux · googolpluc · googolplum
Googool-n-plex series: googolundeciplex
Factorial series: lexexfa · lexxifa · lexxijfa · lexxijifa · lexxivfa · lexexvy · lexexvi · lexexvij · lexexviji · lexxixfa · lexxexfa · lexxexifa · lexxexijfa · lexxexijifa · lexxexivfa · lexxexvyfa · lexxexvifa · lexxexvijfa

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