Octodeciquingentillion

An octodeciquingentillion is equal to \(10^{1557}\) in the short scale and \(10^{3108}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 518th -illion number.
In the long scale, \(10^{1557}\) is called novenquinquagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1557}\) (exact) 	\(1\times10^{1557}\) (exact)
Arrow notation 	\(10\uparrow 1557\) (exact) 	\(10\uparrow 1557\) (exact)
Steinhaus-Moser Notation 	565[3] 	566[3]
Chained arrow notation 	\(10\rightarrow 1557\) (exact) 	\(10\rightarrow 1557\) (exact)
Taro's multivariable Ackermann function	A(3,5169) 	A(3,5170)
BEAF & Bird's array notation 	{10,1557} (exact) 	{10,1557} (exact)
Hyper-E notation 	E1557 (exact) 	E1557 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(565) 	m(1)(566)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5159)\) 	\(f_2(5160)\)
Hardy hierarchy 	\(H_{\omega^2}(5159)\) 	\(H_{\omega^2}(5160)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3108}\) (exact) 	\(1\times10^{3108}\) (exact)
Arrow notation 	\(10\uparrow 3108\) (exact) 	\(10\uparrow 3108\) (exact)
Steinhaus-Moser Notation 	1031[3] 	1032[3]
Chained arrow notation 	\(10\rightarrow 3108\) (exact) 	\(10\rightarrow 3108\) (exact)
Taro's multivariable Ackermann function	A(3,10321) 	A(3,10322)
BEAF & Bird's array notation 	{10,3108} (exact) 	{10,3108} (exact)
Hyper-E notation 	E3108 (exact) 	E3108 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1031) 	m(1)(1032)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10311)\) 	\(f_2(10312)\)
Hardy hierarchy 	\(H_{\omega^2}(10311)\) 	\(H_{\omega^2}(10312)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers