Octovigintiquingentillion

An octovigintiquingentillion is equal to \(10^{1587}\) in the short scale and \(10^{3168}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 528th -illion number.
In the long scale, \(10^{1587}\) is called quattuorsexagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1587}\) (exact) 	\(1\times10^{1587}\) (exact)
Arrow notation 	\(10\uparrow 1587\) (exact) 	\(10\uparrow 1587\) (exact)
Steinhaus-Moser Notation 	575[3] 	576[3]
Chained arrow notation 	\(10\rightarrow 1587\) (exact) 	\(10\rightarrow 1587\) (exact)
Taro's multivariable Ackermann function	A(3,5268) 	A(3,5269)
BEAF & Bird's array notation 	{10,1587} (exact) 	{10,1587} (exact)
Hyper-E notation 	E1587 (exact) 	E1587 (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)(575) 	m(1)(576)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5259)\) 	\(f_2(5260)\)
Hardy hierarchy 	\(H_{\omega^2}(5259)\) 	\(H_{\omega^2}(5260)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 8+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 8+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3168}\) (exact) 	\(1\times10^{3168}\) (exact)
Arrow notation 	\(10\uparrow 3168\) (exact) 	\(10\uparrow 3168\) (exact)
Steinhaus-Moser Notation 	1048[3] 	1049[3]
Chained arrow notation 	\(10\rightarrow 3168\) (exact) 	\(10\rightarrow 3168\) (exact)
Taro's multivariable Ackermann function	A(3,10520) 	A(3,10521)
BEAF & Bird's array notation 	{10,3168} (exact) 	{10,3168} (exact)
Hyper-E notation 	E3168 (exact) 	E3168 (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)(1048) 	m(1)(1049)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10510)\) 	\(f_2(10511)\)
Hardy hierarchy 	\(H_{\omega^2}(10510)\) 	\(H_{\omega^2}(10511)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+\omega 6+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+\omega 6+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers