Unoctogintaquingentillion

An unoctogintaquingentillion is equal to \(10^{1746}\) in the short scale and \(10^{3486}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 581st -illion number.
In the long scale, \(10^{1746}\) is called unnonagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1746}\) (exact) 	\(1\times10^{1746}\) (exact)
Arrow notation 	\(10\uparrow 1746\) (exact) 	\(10\uparrow 1746\) (exact)
Steinhaus-Moser Notation 	624[3] 	625[3]
Chained arrow notation 	\(10\rightarrow 1746\) (exact) 	\(10\rightarrow 1746\) (exact)
Taro's multivariable Ackermann function	A(3,5797) 	A(3,5798)
BEAF & Bird's array notation 	{10,1746} (exact) 	{10,1746} (exact)
Hyper-E notation 	E1746 (exact) 	E1746 (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)(624) 	m(1)(625)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5787)\) 	\(f_2(5788)\)
Hardy hierarchy 	\(H_{\omega^2}(5787)\) 	\(H_{\omega^2}(5788)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3486}\) (exact) 	\(1\times10^{3486}\) (exact)
Arrow notation 	\(10\uparrow 3486\) (exact) 	\(10\uparrow 3486\) (exact)
Steinhaus-Moser Notation 	1140[3] 	1141[3]
Chained arrow notation 	\(10\rightarrow 3486\) (exact) 	\(10\rightarrow 3486\) (exact)
Taro's multivariable Ackermann function	A(3,11577) 	A(3,11578)
BEAF & Bird's array notation 	{10,3486} (exact) 	{10,3486} (exact)
Hyper-E notation 	E3486 (exact) 	E3486 (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)(1140) 	m(1)(1141)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11566)\) 	\(f_2(11567)\)
Hardy hierarchy 	\(H_{\omega^2}(11566)\) 	\(H_{\omega^2}(11567)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 8+6}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers