Tetretriacontillion is equal to \(10^{3\times 10^{102}+3}\) or \(10^{3\text{ tretrigintillion }3}\).[1] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow102)\) | |
Down-arrow notation | \(1000\downarrow\downarrow35\) | \(414\downarrow\downarrow40\) |
Steinhaus-Moser Notation | 57[3][3] | 58[3][3] |
Copy notation | 2[2[103]] | 3[3[103]] |
H* function | H(H(33)) | |
Taro's multivariable Ackermann function | A(3,A(3,339)) | A(3,A(3,340)) |
Pound-Star Notation | #*((1))*(9,5,1,6,5)*7 | #*((1))*(0,6,1,6,5)*7 |
BEAF | {1000,1+{10,102}} | |
Hyper-E notation | E(3+3E102) | |
Bashicu matrix system | (0)(1)[18] | (0)(1)[19] |
Hyperfactorial array notation | (70!)! | (71!)! |
Fast-growing hierarchy | \(f_2(f_2(333))\) | \(f_2(f_2(334))\) |
Hardy hierarchy | \(H_{\omega^22}(333)\) | \(H_{\omega^22}(334)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^2+2}3+3}}(10)\) |