Legion's number of the first kind

Legion's number of the first kind is equal to \(666^{666} \approx 2.71541759288712\times10^{1,880}\).Legion's Numbers from Wolfram MathWorld It is 1,881 digits long.
== Decimal expansion ==
==Approximations==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(2.715\times10^{1880}\) 	\(2.716\times10^{1880}\)
Arrow notation 	\(666\uparrow\uparrow2\) 	\(666\uparrow\uparrow2\)
Steinhaus-Moser Notation 	666[3] 	666[3]
Copy notation 	2[1881] 	3[1881]
Chained arrow notation 	\(666\rightarrow2→2\) 	\(666\rightarrow2→2\)
Taro's multivariable Ackermann function	A(3,6243) 	A(3,6244)
Pound-Star Notation 	#*((10))*25 	#*((11))*25
BEAF & Bird's array notation 	{666,2,2} 	{666,2,2}
Hyper-E notation 	E[666]1#2 	E[666]1#2
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Hyperfactorial array notation 	766! 	767!
Strong array notation 	s(666,2,2) 	s(666,2,2)
Fast-growing hierarchy 	\(f_2(6\,234)\) 	\(f_2(6\,235)\)
Hardy hierarchy 	\(H_{\omega^2}(6\,234)\) 	\(H_{\omega^2}(6\,235)\)
Slow-growing hierarchy 	\(g_{\omega^\omega}(666)\)	\(g_{\omega^\omega}(666)\)
==Sources==
==See also==
*Beast number
*Legion's number of the second kind
*Leviathan number
Category:Numbers
Category:Class 2
Category:Numbers with 1000 to 1000000 digits
Category:Perfect powers