Duotrigintacentillion

A duotrigintacentillion is equal to \(10^{399}\) in the short scale and \(10^{792}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 132nd -illion number.
In the long scale, \(10^{399}\) is called sesexagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{399}\) (exact) 	\(1\times10^{399}\) (exact)
Arrow notation 	\(10\uparrow 399\) (exact) 	\(10\uparrow 399\) (exact)
Steinhaus-Moser Notation 	177[3] 	178[3]
Chained arrow notation 	\(10\rightarrow 399\) (exact) 	\(10\rightarrow 399\) (exact)
Taro's multivariable Ackermann function	A(3,1322) 	A(3,1323)
BEAF & Bird's array notation 	{10,399} (exact) 	{10,399} (exact)
Hyper-E notation 	E399 (exact) 	E399 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(177) 	m(1)(178)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[36] 	(0)(0)(0)(0)(0)(0)(0)(0)[37]
Fast-growing hierarchy 	\(f_2(1315)\) 	\(f_2(1316)\)
Hardy hierarchy 	\(H_{\omega^2}(1315)\) 	\(H_{\omega^2}(1316)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 3+\omega 9+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 3+\omega 9+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{792}\) (exact) 	\(1\times10^{792}\) (exact)
Arrow notation 	\(10\uparrow 792\) (exact) 	\(10\uparrow 792\) (exact)
Steinhaus-Moser Notation 	316[3] 	317[3]
Chained arrow notation 	\(10\rightarrow 792\) (exact) 	\(10\rightarrow 792\) (exact)
Taro's multivariable Ackermann function	A(3,2627) 	A(3,2628)
BEAF & Bird's array notation 	{10,792} (exact) 	{10,792} (exact)
Hyper-E notation 	E792 (exact) 	E792 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(316) 	m(1)(317)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[35] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[36]
Fast-growing hierarchy 	\(f_2(2619)\) 	\(f_2(2620)\)
Hardy hierarchy 	\(H_{\omega^2}(2619)\) 	\(H_{\omega^2}(2620)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 9+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent