Duotrigintaquingentillion

A duotrigintaquingentillion is equal to \(10^{1599}\) in the short scale and \(10^{3192}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 532nd -illion number.
In the long scale, \(10^{1599}\) is called sesexagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1599}\) (exact) 	\(1\times10^{1599}\) (exact)
Arrow notation 	\(10\uparrow 1599\) (exact) 	\(10\uparrow 1599\) (exact)
Steinhaus-Moser Notation 	578[3] 	579[3]
Chained arrow notation 	\(10\rightarrow 1599\) (exact) 	\(10\rightarrow 1599\) (exact)
Taro's multivariable Ackermann function	A(3,5308) 	A(3,5309)
BEAF & Bird's array notation 	{10,1599} (exact) 	{10,1599} (exact)
Hyper-E notation 	E1599 (exact) 	E1599 (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)(578) 	m(1)(579)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5299)\) 	\(f_2(5300)\)
Hardy hierarchy 	\(H_{\omega^2}(5299)\) 	\(H_{\omega^2}(5300)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 9+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 9+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3192}\) (exact) 	\(1\times10^{3192}\) (exact)
Arrow notation 	\(10\uparrow 3192\) (exact) 	\(10\uparrow 3192\) (exact)
Steinhaus-Moser Notation 	1055[3] 	1056[3]
Chained arrow notation 	\(10\rightarrow 3192\) (exact) 	\(10\rightarrow 3192\) (exact)
Taro's multivariable Ackermann function	A(3,10600) 	A(3,10601)
BEAF & Bird's array notation 	{10,3192} (exact) 	{10,3192} (exact)
Hyper-E notation 	E3192 (exact) 	E3192 (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)(1055) 	m(1)(1056)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10590)\) 	\(f_2(10591)\)
Hardy hierarchy 	\(H_{\omega^2}(10590)\) 	\(H_{\omega^2}(10591)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+\omega 9+2}}(10)\) (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