Octogintaquingentillion

An octogintaquingentillion is equal to \(10^{1743}\) in the short scale and \(10^{3480}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 580th -illion number.
In the long scale, \(10^{1743}\) is called nonagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1743}\) (exact) 	\(1\times10^{1743}\) (exact)
Arrow notation 	\(10\uparrow 1743\) (exact) 	\(10\uparrow 1743\) (exact)
Steinhaus-Moser Notation 	623[3] 	624[3]
Chained arrow notation 	\(10\rightarrow 1743\) (exact) 	\(10\rightarrow 1743\) (exact)
Taro's multivariable Ackermann function	A(3,5787) 	A(3,5788)
BEAF & Bird's array notation 	{10,1743} (exact) 	{10,1743} (exact)
Hyper-E notation 	E1743 (exact) 	E1743 (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)(623) 	m(1)(624)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5777)\) 	\(f_2(5778)\)
Hardy hierarchy 	\(H_{\omega^2}(5777)\) 	\(H_{\omega^2}(5778)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3480}\) (exact) 	\(1\times10^{3480}\) (exact)
Arrow notation 	\(10\uparrow 3480\) (exact) 	\(10\uparrow 3480\) (exact)
Steinhaus-Moser Notation 	1138[3] 	1139[3]
Chained arrow notation 	\(10\rightarrow 3480\) (exact) 	\(10\rightarrow 3480\) (exact)
Taro's multivariable Ackermann function	A(3,11557) 	A(3,11558)
BEAF & Bird's array notation 	{10,3480} (exact) 	{10,3480} (exact)
Hyper-E notation 	E3480 (exact) 	E3480 (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)(1138) 	m(1)(1139)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11546)\) 	\(f_2(11547)\)
Hardy hierarchy 	\(H_{\omega^2}(11546)\) 	\(H_{\omega^2}(11547)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 8}}(10)\) (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