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Not to be confused with hexahectillion.

Hexehectillion is equal to \(10^{3\times 10^{318} + 3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system. It is the Quincentillion-th -illion.

Approximations[]

Notation Lower bound Upper bound
Arrow notation \(1000\uparrow(1+10\uparrow318)\)
Down-arrow notation \(1000\downarrow\downarrow107\) \(733\downarrow\downarrow112\)
Steinhaus-Moser Notation 145[3][3] 146[3][3]
Copy notation 2[2[319]] 3[3[319]]
H* function H(H(105))
Taro's multivariable Ackermann function A(3,A(3,1056)) A(3,A(3,1057))
Pound-Star Notation #*((1))*((2))*9 #*((1))*((3))*9
BEAF {1000,1+{10,318}}
Hyper-E notation E(3+3E318)
Bashicu matrix system (0)(1)[32] (0)(1)[33]
Hyperfactorial array notation (174!)! (175!)!
Fast-growing hierarchy \(f_2(f_2(1049))\) \(f_2(f_2(1050))\)
Hardy hierarchy \(H_{\omega^22}(1049)\) \(H_{\omega^22}(1050)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^23+\omega+8}3+3}}(10)\)

Sources[]