The hexeicosillion is equal to \(10^{3\times 10^{78}+3}\) or \(10^{3\text{ quinvigintillion }3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow78)\) | |
Down-arrow notation | \(1000\downarrow\downarrow27\) | \(6\downarrow\downarrow102\) |
Steinhaus-Moser Notation | 46[3][3] | 47[3][3] |
Copy notation | 2[2[79]] | 3[3[79]] |
H* function | H(H(25)) | |
Taro's multivariable Ackermann function | A(3,A(3,259)) | A(3,A(3,260)) |
Pound-Star Notation | #*((1))*(5,4,5,1,8)*5 | #*((1))*(6,4,5,1,8)*5 |
BEAF | {1000,1+{10,78}} | |
Hyper-E notation | E(3+3E78) | |
Bashicu matrix system | (0)(1)[16] | (0)(1)[17] |
Hyperfactorial array notation | (56!)! | (57!)! |
Fast-growing hierarchy | \(f_2(f_2(254))\) | \(f_2(f_2(255))\) |
Hardy hierarchy | \(H_{\omega^22}(254)\) | \(H_{\omega^22}(255)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega7+8}3+3}}(10)\) |