Octoseptuagintaquingentillion

An octoseptuagintaquingentillion is equal to \(10^{1737}\) in the short scale and \(10^{3468}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 578th -illion number.
In the long scale, \(10^{1737}\) is called novemoctogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1737}\) (exact) 	\(1\times10^{1737}\) (exact)
Arrow notation 	\(10\uparrow 1737\) (exact) 	\(10\uparrow 1737\) (exact)
Steinhaus-Moser Notation 	621[3] 	622[3]
Chained arrow notation 	\(10\rightarrow 1737\) (exact) 	\(10\rightarrow 1737\) (exact)
Taro's multivariable Ackermann function	A(3,5767) 	A(3,5768)
BEAF & Bird's array notation 	{10,1737} (exact) 	{10,1737} (exact)
Hyper-E notation 	E1737 (exact) 	E1737 (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)(621) 	m(1)(622)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5757)\) 	\(f_2(5758)\)
Hardy hierarchy 	\(H_{\omega^2}(5757)\) 	\(H_{\omega^2}(5758)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 3+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 3+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3468}\) (exact) 	\(1\times10^{3468}\) (exact)
Arrow notation 	\(10\uparrow 3468\) (exact) 	\(10\uparrow 3468\) (exact)
Steinhaus-Moser Notation 	1135[3] 	1136[3]
Chained arrow notation 	\(10\rightarrow 3468\) (exact) 	\(10\rightarrow 3468\) (exact)
Taro's multivariable Ackermann function	A(3,11517) 	A(3,11518)
BEAF & Bird's array notation 	{10,3468} (exact) 	{10,3468} (exact)
Hyper-E notation 	E3468 (exact) 	E3468 (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)(1135) 	m(1)(1136)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11506)\) 	\(f_2(11507)\)
Hardy hierarchy 	\(H_{\omega^2}(11506)\) 	\(H_{\omega^2}(11507)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 6+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers