Triple Centifact is the third mixed factorial of 100 or mixed factorial of double centifact, written as 100*** or 100*3 in multiple mixed factorials. The term was coined by SpongeTechX. It is smaller than $$\{10,10,\{10,10, \{100,101,97\}\}\}$$ in BEAF, and it is therefore smaller than a boogolduplex.

## Etymology

The name of this number is based on the word triple and the number centifact.

## Approximations in other notations

Notation Approximation
Bird's array notation $$\{10,10,\{10,10,\{100,101,97\}\}\}$$
BEAF $$\{10,10,\{10,10,\{100,101,97\}\}\}$$
Graham Array Notation $$[10,10,[10,10,[100,101,97]]]$$
Strong Array Notation $$s(10,10,s(10,10,s(100,101,97)))$$
Hyper-E notation $$E100\#\#97\#3$$
Chained arrow notation $$100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow 97))$$
Hyperfactorial array notation $$104!!!$$
Fast-growing hierarchy $$f_{\omega}(f_{\omega}(f_{98}(100)))$$
Hardy hierarchy $$H_{\omega^\omega2+\omega^{98}}(100)$$
Slow-growing hierarchy $$g_{\varphi(\varphi(\varphi(96,0),0),0)}(100)$$