The octeicosillion is equal to \(10^{3\times 10^{84}+3}\) or \(10^{3\text{ septenvigintillion }3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow84)\) | |
Down-arrow notation | \(1000\downarrow\downarrow29\) | \(789\downarrow\downarrow30\) |
Steinhaus-Moser Notation | 48[3][3] | 49[3][3] |
Copy notation | 2[2[85]] | 3[3[85]] |
H* function | H(H(27)) | |
Taro's multivariable Ackermann function | A(3,A(3,279)) | A(3,A(3,280)) |
Pound-Star Notation | #*((1))*(8,0,1,3,3)*6 | #*((1))*(0,5,2,6)*8 |
BEAF | {1000,1+{10,84}} | |
Hyper-E notation | E(3+3E84) | |
Bashicu matrix system | (0)(1)[16] | (0)(1)[17] |
Hyperfactorial array notation | (60!)! | (61!)! |
Fast-growing hierarchy | \(f_2(f_2(274))\) | \(f_2(f_2(275))\) |
Hardy hierarchy | \(H_{\omega^22}(274)\) | \(H_{\omega^22}(275)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega8+4}3+3}}(10)\) |