Quinquagintiducentillion is equal to \(10^{753}\). It is defined using generalizations of Jonathan Bowers' -illion system. [1][2] It is 754 digits long.

Approximations

Notation Lower bound Upper bound
Scientific notation \(1\times10^{753}\)
Arrow notation \(10\uparrow753\)
Steinhaus-Moser Notation 303[3] 304[3]
Copy notation 9[753] 1[754]
Chained arrow notation \(10\rightarrow753\)
H* function H(250)
Taro's multivariable Ackermann function A(3,2502) A(3,2503)
BEAF & Bird's array notation {10,753}
Hyper-E notation E753
Hyperfactorial array notation 355! 356!
Fast-growing hierarchy \(f_2(2\,492)\) \(f_2(2\,493)\)
Hardy hierarchy \(H_{\omega^2}(2\,492)\) \(H_{\omega^2}(2\,493)\)
Slow-growing hierarchy \(g_{\omega^{\omega^27+\omega5+3}}(10)\)

Sources

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