Octosexagintaquingentillion

An octosexagintaquingentillion is equal to \(10^{1707}\) in the short scale and \(10^{3408}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 568th -illion number.
In the long scale, \(10^{1707}\) is called quattuoroctogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1707}\) (exact) 	\(1\times10^{1707}\) (exact)
Arrow notation 	\(10\uparrow 1707\) (exact) 	\(10\uparrow 1707\) (exact)
Steinhaus-Moser Notation 	612[3] 	613[3]
Chained arrow notation 	\(10\rightarrow 1707\) (exact) 	\(10\rightarrow 1707\) (exact)
Taro's multivariable Ackermann function	A(3,5667) 	A(3,5668)
BEAF & Bird's array notation 	{10,1707} (exact) 	{10,1707} (exact)
Hyper-E notation 	E1707 (exact) 	E1707 (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)(612) 	m(1)(613)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5658)\) 	\(f_2(5659)\)
Hardy hierarchy 	\(H_{\omega^2}(5658)\) 	\(H_{\omega^2}(5659)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3408}\) (exact) 	\(1\times10^{3408}\) (exact)
Arrow notation 	\(10\uparrow 3408\) (exact) 	\(10\uparrow 3408\) (exact)
Steinhaus-Moser Notation 	1117[3] 	1118[3]
Chained arrow notation 	\(10\rightarrow 3408\) (exact) 	\(10\rightarrow 3408\) (exact)
Taro's multivariable Ackermann function	A(3,11318) 	A(3,11319)
BEAF & Bird's array notation 	{10,3408} (exact) 	{10,3408} (exact)
Hyper-E notation 	E3408 (exact) 	E3408 (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)(1117) 	m(1)(1118)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11307)\) 	\(f_2(11308)\)
Hardy hierarchy 	\(H_{\omega^2}(11307)\) 	\(H_{\omega^2}(11308)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers