- Not to be confused with tetrahectillion.
Tetrehectillion is equal to \(10^{3\cdot10^{312} + 3}\).[1][2] It is defined using Sbiis Saibian's generalization of Jonathan Bowers' -illion system.
Approximations[]
Notation | Lower bound | Upper bound |
---|---|---|
Arrow notation | \(1000\uparrow(1+10\uparrow312)\) | |
Down-arrow notation | \(1000\downarrow\downarrow105\) | \(546\downarrow\downarrow115\) |
Steinhaus-Moser Notation | 143[3][3] | 144[3][3] |
Copy notation | 2[2[313]] | 3[3[313]] |
H* function | H(H(103)) | |
Taro's multivariable Ackermann function | A(3,A(3,1036)) | A(3,A(3,1037)) |
Pound-Star Notation | #*((1))*((1))*9 | #*((1))*((2))*9 |
BEAF | {1000,1+{10,312}} | |
Hyper-E notation | E(3+3E312) | |
Bashicu matrix system | (0)(1)[32] | (0)(1)[33] |
Hyperfactorial array notation | (171!)! | (172!)! |
Fast-growing hierarchy | \(f_2(f_2(1029))\) | \(f_2(f_2(1030))\) |
Hardy hierarchy | \(H_{\omega^22}(1029)\) | \(H_{\omega^22}(1030)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^23+\omega+2}3+3}}(10)\) |