Unquadragintaquingentillion

An unquadragintaquingentillion is equal to \(10^{1626}\) in the short scale and \(10^{3246}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 541st -illion number.
In the long scale, \(10^{1626}\) is called unseptuagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1626}\) (exact) 	\(1\times10^{1626}\) (exact)
Arrow notation 	\(10\uparrow 1626\) (exact) 	\(10\uparrow 1626\) (exact)
Steinhaus-Moser Notation 	587[3] 	588[3]
Chained arrow notation 	\(10\rightarrow 1626\) (exact) 	\(10\rightarrow 1626\) (exact)
Taro's multivariable Ackermann function	A(3,5398) 	A(3,5399)
BEAF & Bird's array notation 	{10,1626} (exact) 	{10,1626} (exact)
Hyper-E notation 	E1626 (exact) 	E1626 (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)(587) 	m(1)(588)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5389)\) 	\(f_2(5390)\)
Hardy hierarchy 	\(H_{\omega^2}(5389)\) 	\(H_{\omega^2}(5390)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3246}\) (exact) 	\(1\times10^{3246}\) (exact)
Arrow notation 	\(10\uparrow 3246\) (exact) 	\(10\uparrow 3246\) (exact)
Steinhaus-Moser Notation 	1071[3] 	1072[3]
Chained arrow notation 	\(10\rightarrow 3246\) (exact) 	\(10\rightarrow 3246\) (exact)
Taro's multivariable Ackermann function	A(3,10779) 	A(3,10780)
BEAF & Bird's array notation 	{10,3246} (exact) 	{10,3246} (exact)
Hyper-E notation 	E3246 (exact) 	E3246 (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)(1071) 	m(1)(1072)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10769)\) 	\(f_2(10770)\)
Hardy hierarchy 	\(H_{\omega^2}(10769)\) 	\(H_{\omega^2}(10770)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 4+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 4+6}}(10)\) (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