Octocentillion

An octocentillion is equal to \(10^{327}\) in the short scale and \(10^{648}\) in the long scale by Conway and Guy's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 108th -illion number.
In the long scale, \(10^{327}\) is called quattuorquinquagintilliard.
Aarex Tiaokhiao gave the name cennillion, referring to the short-scale value of this number.Aarex Tiaokhiao's illion numbers
==Approximations==
For short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{327}\) 	\(1\times10^{327}\)
Arrow notation 	\(10\uparrow327\) 	\(10\uparrow327\)
Steinhaus-Moser Notation 	150[3] 	151[3]
Copy notation 	9[327] 	10[164]
Taro's multivariable Ackermann function	A(3,1083) 	A(3,1084)
Pound-Star Notation 	#*((4375))*11 	#*((4376))*11
BEAF 	{10,327} 	{10,327}
Hyper-E notation 	E327 	E327
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)[358] 	(0)(0)(0)(0)(0)(0)(0)[359]
Hyperfactorial array notation 	178! 	179!
Fast-growing hierarchy 	\(f_2(1076)\) 	\(f_2(1077)\)
Hardy hierarchy 	\(H_{\omega^2}(1076)\) 	\(H_{\omega^2}(1077)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^23+\omega2+7}}(10)\)	\(g_{\omega^{\omega^23+\omega2+7}}(10)\)
For long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{648}\) 	\(1\times10^{648}\)
Arrow notation 	\(10\uparrow648\) 	\(10\uparrow648\)
Steinhaus-Moser Notation 	267[3] 	268[3]
Copy notation 	9[648] 	1[649]
Taro's multivariable Ackermann function	A(3,2149) 	A(3,2150)
Pound-Star Notation 	#*((5258))*15 	#*((5259))*15
BEAF 	{10,648} 	{10,648}
Hyper-E notation 	E648 	E648
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[339] 	(0)(0)(0)(0)(0)(0)(0)(0)[340]
Hyperfactorial array notation 	313! 	314!
Fast-growing hierarchy 	\(f_2(2141)\) 	\(f_2(2142)\)
Hardy hierarchy 	\(H_{\omega^2}(2141)\) 	\(H_{\omega^2}(2142)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^26+\omega4+8}}(10)\)	\(g_{\omega^{\omega^26+\omega4+8}}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers