The penteicosillion is equal to \(10^{3\times 10^{75}+3}\) or \(10^{3\text{ quattuorvigintillion }3}\).[1]

Approximations

Notation Lower bound Upper bound
Arrow notation \(1000\uparrow(1+10\uparrow75)\)
Down-arrow notation \(1000\downarrow\downarrow26\) \(479\downarrow\downarrow29\)
Steinhaus-Moser Notation 44[3][3] 45[3][3]
Copy notation 2[2[76]] 3[3[76]]
H* function H(H(24))
Taro's multivariable Ackermann function A(3,A(3,249)) A(3,A(3,250))
Pound-Star Notation #*((1))*(3,7,3,2)*8 #*((1))*(0,6,3,3,5)*5
BEAF {1000,1+{10,75}}
Hyper-E notation E(3+3E75)
Bashicu matrix system (0)(1)[15] (0)(1)[16]
Hyperfactorial array notation (55!)! (56!)!
Fast-growing hierarchy \(f_2(f_2(244))\) \(f_2(f_2(245))\)
Hardy hierarchy \(H_{\omega^22}(244)\) \(H_{\omega^22}(245)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega7+5}3+3}}(10)\)

Sources

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