The hepteicosillion is equal to \(10^{3\times 10^{81}+3}\) or \(10^{3\text{ sexvigintillion }3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow81)\) | |
Down-arrow notation | \(1000\downarrow\downarrow28\) | \(503\downarrow\downarrow31\) |
Steinhaus-Moser Notation | 47[3][3] | 48[3][3] |
Copy notation | 2[2[82]] | 3[3[82]] |
H* function | H(H(26)) | |
Taro's multivariable Ackermann function | A(3,A(3,269)) | A(3,A(3,270)) |
Pound-Star Notation | #*((1))*(3,0,0,3,2)*6 | #*((1))*(4,0,0,3,2)*6 |
BEAF | {1000,1+{10,81}} | |
Hyper-E notation | E(3+3E81) | |
Bashicu matrix system | (0)(1)[16] | (0)(1)[17] |
Hyperfactorial array notation | (58!)! | (59!)! |
Fast-growing hierarchy | \(f_2(f_2(264))\) | \(f_2(f_2(265))\) |
Hardy hierarchy | \(H_{\omega^22}(264)\) | \(H_{\omega^22}(265)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega8+1}3+3}}(10)\) |