Monster group

The monster grouphttps://mathworld.wolfram.com/MonsterGroup.html is the largest of the 26 , which are one of the classes in the . Its order is approximately \(8 \cdot 10^{53}\), with a full decimal expansion of:
.
Conway and Guy suggested that the order of the monster group is the "largest undeflatable number" (in comparison to Graham's number and Skewes' number which are upper bounds). Arguably, numbers such as TREE(3) discredit this claim, but the order of the monster group is still interesting in that it is a naturally occurring large number, and there does not appear to be any obvious way to generalize the value.
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== Approximations in other notations ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(8.08\times10^{53}\) 	\(8.081\times10^{53}\)
Arrow notation 	\(43\uparrow33\) 	\(3\uparrow113\)
Steinhaus-Moser Notation 	34[3] 	35[3]
Copy notation 	7[54] 	8[54]
Taro's multivariable Ackermann function	A(3,176) 	A(3,177)
Pound-Star Notation 	#*(7,3,5)*15 	#*(4,7,6,4,0,2)*6
BEAF 	{43,33} 	{3,113}
Hyper-E notation 	8E53 	E[3]113
Bashicu matrix system 	(0)(0)(0)(0)[2339] 	(0)(0)(0)(0)[2340]
Hyperfactorial array notation 	43! 	44!
Fast-growing hierarchy 	\(f_2(171)\) 	\(f_2(172)\)
Hardy hierarchy 	\(H_{\omega^2}(171)\) 	\(H_{\omega^2}(172)\)
Slow-growing hierarchy 	\(g_{\omega^{32}5}(46)\)	\(g_{\omega^{\omega2+9}10}(17)\)
==References==
Category:Numbers
Category:Class 2
Category:Non-powers
Category:Numbers with 30 to 100 digits
Category:Orders of sporadic groups