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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 \(g_{\omega^{100}}(200)\)

Sources[]

See also[]

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