Double Centifact is the second mixed factorial of 100 or mixed factorial of centifact, written as 100** or 100*2 in multiple mixed factorials. The term was coined by SpongeTechX. It is smaller than {10,10, {100,101,97}} in BEAF, and it is therefore smaller than a boogolplex.

Etymology

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

Approximations in other notations

Notation Approximation
Bird's array notation \(\{10,10,\{100,101,97\}\}\)
BEAF \(\{10,10,\{100,101,97\}\}\)
Graham Array Notation \([10,10,[100,101,97]]\)
Strong Array Notation \(s(10,10,s(100,101,97))\)
Hyper-E notation \(E100\#\#97\#2\)
Chained arrow notation \(100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow 97)\)
Hyperfactorial array notation \(104![1]![1]\)
Fast-growing hierarchy (using CNF's fundamental sequences) \(f_{\omega}(f_{98}(100))\)
Hardy hierarchy \(H_{\omega^\omega+\omega^{98}}(100)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(96,0),0)}(100)\)

Sources

SpongeTechX's Googology World

See also

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