Untrigintaquingentillion

An untrigintaquingentillion is equal to \(10^{1596}\) in the short scale and \(10^{3186}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 531st -illion number.
In the long scale, \(10^{1596}\) is called sesexagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1596}\) (exact) 	\(1\times10^{1596}\) (exact)
Arrow notation 	\(10\uparrow 1596\) (exact) 	\(10\uparrow 1596\) (exact)
Steinhaus-Moser Notation 	577[3] 	578[3]
Chained arrow notation 	\(10\rightarrow 1596\) (exact) 	\(10\rightarrow 1596\) (exact)
Taro's multivariable Ackermann function	A(3,5298) 	A(3,5299)
BEAF & Bird's array notation 	{10,1596} (exact) 	{10,1596} (exact)
Hyper-E notation 	E1596 (exact) 	E1596 (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)(577) 	m(1)(578)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5289)\) 	\(f_2(5290)\)
Hardy hierarchy 	\(H_{\omega^2}(5289)\) 	\(H_{\omega^2}(5290)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 9+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 9+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3186}\) (exact) 	\(1\times10^{3186}\) (exact)
Arrow notation 	\(10\uparrow 3186\) (exact) 	\(10\uparrow 3186\) (exact)
Steinhaus-Moser Notation 	1053[3] 	1054[3]
Chained arrow notation 	\(10\rightarrow 3186\) (exact) 	\(10\rightarrow 3186\) (exact)
Taro's multivariable Ackermann function	A(3,10580) 	A(3,10581)
BEAF & Bird's array notation 	{10,3186} (exact) 	{10,3186} (exact)
Hyper-E notation 	E3186 (exact) 	E3186 (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)(1053) 	m(1)(1054)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10570)\) 	\(f_2(10571)\)
Hardy hierarchy 	\(H_{\omega^2}(10570)\) 	\(H_{\omega^2}(10571)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+\omega 8+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+\omega 8+6}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers