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Hecato-tethrathoth (also called tethrafact[1]) is equal to E100#^^#*#^^#*#^^#...#^^#*#^^#*#^^#100 (100 #^^#'s) = E100(#^^#)^#100 in Extended Cascading-E Notation.[2][3] The term was coined by Sbiis Saibian.

## Etymology

The name "hecato-tethrathoth" is based on the prefix "hecato-" (meaning 100) and the number "tethrathoth".

The name "tethrafact" (not to be confused with tetrafact) is based on the number "tethrathoth" and the word factor, because #^^# is the only factor of the hyper-product.

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100 (X \uparrow\uparrow X*X) 2\}$$[4]
Bird's array notation $$\{100,100 [2 \backslash 2] 2\}$$
Hyperfactorial array notation $$100![1,1,[1],1,2]$$
X-Sequence Hyper-Exponential Notation $$100\{(X\uparrow\uparrow X)^{X}\}100$$
Fast-growing hierarchy $$f_{\varepsilon_0^\omega}(100)$$
= $$f_{\omega^{\omega^{\varepsilon_0+1}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^\omega}}(99)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2}^\omega)}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-01-29.
2. 4.3.5 Cascading-E Numbers by Sbiis Saibian
3. Sbiis Saibian's Ultimate Large Numbers List - Part III
4. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.

## See also

Godgahlah — Gridgahlah
Gridgahlah — Godgathor
Godgathor — Godtothol
Godtothol — Great and Terrible Tethrathoth

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