Duoquinquagintasescentillion

A duoquinquagintasescentillion is equal to \(10^{1959}\) in the short scale and \(10^{3912}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 652nd -illion number.
In the long scale, \(10^{1959}\) is called sesvigintitrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1959}\) (exact) 	\(1\times10^{1959}\) (exact)
Arrow notation 	\(10\uparrow 1959\) (exact) 	\(10\uparrow 1959\) (exact)
Steinhaus-Moser Notation 	690[3] 	691[3]
Chained arrow notation 	\(10\rightarrow 1959\) (exact) 	\(10\rightarrow 1959\) (exact)
Taro's multivariable Ackermann function	A(3,6504) 	A(3,6505)
BEAF & Bird's array notation 	{10,1959} (exact) 	{10,1959} (exact)
Hyper-E notation 	E1959 (exact) 	E1959 (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)(690) 	m(1)(691)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6494)\) 	\(f_2(6495)\)
Hardy hierarchy 	\(H_{\omega^2}(6494)\) 	\(H_{\omega^2}(6495)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3912}\) (exact) 	\(1\times10^{3912}\) (exact)
Arrow notation 	\(10\uparrow 3912\) (exact) 	\(10\uparrow 3912\) (exact)
Steinhaus-Moser Notation 	1261[3] 	1262[3]
Chained arrow notation 	\(10\rightarrow 3912\) (exact) 	\(10\rightarrow 3912\) (exact)
Taro's multivariable Ackermann function	A(3,12992) 	A(3,12993)
BEAF & Bird's array notation 	{10,3912} (exact) 	{10,3912} (exact)
Hyper-E notation 	E3912 (exact) 	E3912 (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)(1261) 	m(1)(1262)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(12981)\) 	\(f_2(12982)\)
Hardy hierarchy 	\(H_{\omega^2}(12981)\) 	\(H_{\omega^2}(12982)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 9+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 9+\omega+2}}(10)\) (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