Tetrofaxul

The tetrofaxul is equal to 200!2 in Hyperfactorial array notation.Lawrence Hollom's large numbers siteRepresentation of Tetrofaxul Tetrofaxul can be thought as "tetrofactorial" of 200, which is, by analogy with expofactorial, means \(f(n) = n \uparrow\uparrow (n-1) \uparrow\uparrow (n-2) \cdots 4 \uparrow\uparrow 3 \uparrow\uparrow 2 \uparrow\uparrow 1\). Thus, tetrofaxul can be represented as \(200 \uparrow\uparrow 199 \uparrow\uparrow 198 \cdots 4 \uparrow\uparrow 3 \uparrow\uparrow 2 \uparrow\uparrow 1\). This is based on tetration. The term was coined by Lawrence Hollom.
=== Etymology ===
The name of this number is based on Greek prefix "tetra-" and the number "faxul".
===Approximations in other notations===
Notation 	Approximation
Hyper-E notation 	\(\textrm{E}153.90699754796802\#25\#197\)
Up-arrow notation 	between \(26 \uparrow\uparrow\uparrow 198\) and \(27 \uparrow\uparrow\uparrow 198\)
Chained arrow notation	\(26 \rightarrow 198\rightarrow 3\)
BEAF 	\(\{26,198,3\}\)
Fast-growing hierarchy	\(f_4(196)\)
Hardy hierarchy 	\(H_{\omega^4}(200)\)
Slow-growing hierarchy	\(g_{\zeta_0}(200)\)
===Sources===
=== See also ===
Category:Numbers
Category:Numbers by Lawrence Hollom
Category:Factorial numbers
Category:Up-arrow notation level
Category:Powers of 200
Category:Pentation