Octoseptuagintacentillion

An octoseptuagintacentillion is equal to \(10^{537}\) in the short scale and \(10^{1068}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 178th -illion number.
In the long scale, \(10^{537}\) is called novemoctogintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{537}\) (exact) 	\(1\times10^{537}\) (exact)
Arrow notation 	\(10\uparrow 537\) (exact) 	\(10\uparrow 537\) (exact)
Steinhaus-Moser Notation 	227[3] 	228[3]
Chained arrow notation 	\(10\rightarrow 537\) (exact) 	\(10\rightarrow 537\) (exact)
Taro's multivariable Ackermann function	A(3,1780) 	A(3,1781)
BEAF & Bird's array notation 	{10,537} (exact) 	{10,537} (exact)
Hyper-E notation 	E537 (exact) 	E537 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(227) 	m(1)(228)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[11] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[12]
Fast-growing hierarchy 	\(f_2(1773)\) 	\(f_2(1774)\)
Hardy hierarchy 	\(H_{\omega^2}(1773)\) 	\(H_{\omega^2}(1774)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1068}\) (exact) 	\(1\times10^{1068}\) (exact)
Arrow notation 	\(10\uparrow 1068\) (exact) 	\(10\uparrow 1068\) (exact)
Steinhaus-Moser Notation 	408[3] 	409[3]
Chained arrow notation 	\(10\rightarrow 1068\) (exact) 	\(10\rightarrow 1068\) (exact)
Taro's multivariable Ackermann function	A(3,3544) 	A(3,3545)
BEAF & Bird's array notation 	{10,1068} (exact) 	{10,1068} (exact)
Hyper-E notation 	E1068 (exact) 	E1068 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(408) 	m(1)(409)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3536)\) 	\(f_2(3537)\)
Hardy hierarchy 	\(H_{\omega^2}(3536)\) 	\(H_{\omega^2}(3537)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 6+8}}(10)\) (exact)
== 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