Octotrigintaquingentillion

An octotrigintaquingentillion is equal to \(10^{1617}\) in the short scale and \(10^{3228}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 538th -illion number.
In the long scale, \(10^{1617}\) is called novensexagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1617}\) (exact) 	\(1\times10^{1617}\) (exact)
Arrow notation 	\(10\uparrow 1617\) (exact) 	\(10\uparrow 1617\) (exact)
Steinhaus-Moser Notation 	584[3] 	585[3]
Chained arrow notation 	\(10\rightarrow 1617\) (exact) 	\(10\rightarrow 1617\) (exact)
Taro's multivariable Ackermann function	A(3,5368) 	A(3,5369)
BEAF & Bird's array notation 	{10,1617} (exact) 	{10,1617} (exact)
Hyper-E notation 	E1617 (exact) 	E1617 (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)(584) 	m(1)(585)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5359)\) 	\(f_2(5360)\)
Hardy hierarchy 	\(H_{\omega^2}(5359)\) 	\(H_{\omega^2}(5360)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3228}\) (exact) 	\(1\times10^{3228}\) (exact)
Arrow notation 	\(10\uparrow 3228\) (exact) 	\(10\uparrow 3228\) (exact)
Steinhaus-Moser Notation 	1066[3] 	1067[3]
Chained arrow notation 	\(10\rightarrow 3228\) (exact) 	\(10\rightarrow 3228\) (exact)
Taro's multivariable Ackermann function	A(3,10720) 	A(3,10721)
BEAF & Bird's array notation 	{10,3228} (exact) 	{10,3228} (exact)
Hyper-E notation 	E3228 (exact) 	E3228 (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)(1066) 	m(1)(1067)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10709)\) 	\(f_2(10710)\)
Hardy hierarchy 	\(H_{\omega^2}(10709)\) 	\(H_{\omega^2}(10710)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers