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The decicutethraterliath is equal to E100(#^^#)^(#^^#*#^^#*#^^#*##########)100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the number decicutethraduliath and the Latin prefix "tetra-", meaning 4.

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100((X \uparrow\uparrow X)^4*X^{10}) 2\}$$[2]
Bird's array notation $$\{100,100 [11[1\backslash 2]4 \backslash 2] 2\}$$
Hyperfactorial array notation $$100![1,[1,[1,10],4,1,2],[1],1,2]$$
Fast-growing hierarchy $$f_{\varepsilon_0^{\varepsilon_0^3\omega^{10}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0^3\omega^{10}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega 2}^{\varepsilon_{\Omega 2}^3\Omega^9\omega})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2016-03-10.
2. Using particular notation $$\{a,b (A) 2\} = A\ \&\ a$$ with prime b.