Factor

:Not to be confused with (algebra).
Factor is equal to 100! ≈ 9.33262154537 × 10157, where ! denotes factorial. The term was coined by Yabuszko.Yabuszko, Extensible ! Notation
It is approximately 93.33 unquinquagintillion in short scale or 93.33 sesvigintillion in long scale. It is 158 digits long.
== Decimal expansion ==
== Etymology ==
The name of the number is a mix of "factorial" and nordic god "thor".
== Approximations ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(9.332\times10^{157}\) 	\(9.333\times10^{157}\)
Arrow notation 	\(82\uparrow 84\) 	\(10\uparrow 158\)
Steinhaus-Moser Notation 	82[3] 	83[3]
Copy notation 	8[158] 	9[158]
Chained arrow notation 	\(82 \rightarrow 84\) 	\(10 \rightarrow 158\)
Taro's multivariable Ackermann function	A(3,518) 	A(3,519)
Pound-Star Notation 	#*((3))*9 	#*((4))*9
BEAF 	{82,84} 	{10,158}
Hyper-E notation 	E[82]84 	E158
Bashicu matrix system 	(0)(0)(0)(0)(0)[86409] 	(0)(0)(0)(0)(0)[86410]
Hyperfactorial array notation 	100! 	100!
Fast-growing hierarchy 	\(f_2(515)\) 	\(f_2(516)\)
Hardy hierarchy 	\(H_{\omega^2}(515)\) 	\(H_{\omega^2}(516)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega5+7}}(10)\)	\(g_{\omega^{\omega^2+\omega5+8}}(10)\)
==Sources==
== See Also ==
Category:Numbers
Category:Class 2
Category:Orders of symmetric groups
Category:Numbers with 101 to 999 digits
Category:Factorial numbers
Category:Numbers by Yabuszko