Duoquadragintaquingentillion

A duoquadragintaquingentillion is equal to \(10^{1629}\) in the short scale and \(10^{3252}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 542nd -illion number.
In the long scale, \(10^{1629}\) is called unseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1629}\) (exact) 	\(1\times10^{1629}\) (exact)
Arrow notation 	\(10\uparrow 1629\) (exact) 	\(10\uparrow 1629\) (exact)
Steinhaus-Moser Notation 	588[3] 	589[3]
Chained arrow notation 	\(10\rightarrow 1629\) (exact) 	\(10\rightarrow 1629\) (exact)
Taro's multivariable Ackermann function	A(3,5408) 	A(3,5409)
BEAF & Bird's array notation 	{10,1629} (exact) 	{10,1629} (exact)
Hyper-E notation 	E1629 (exact) 	E1629 (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)(588) 	m(1)(589)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5399)\) 	\(f_2(5400)\)
Hardy hierarchy 	\(H_{\omega^2}(5399)\) 	\(H_{\omega^2}(5400)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3252}\) (exact) 	\(1\times10^{3252}\) (exact)
Arrow notation 	\(10\uparrow 3252\) (exact) 	\(10\uparrow 3252\) (exact)
Steinhaus-Moser Notation 	1073[3] 	1074[3]
Chained arrow notation 	\(10\rightarrow 3252\) (exact) 	\(10\rightarrow 3252\) (exact)
Taro's multivariable Ackermann function	A(3,10799) 	A(3,10800)
BEAF & Bird's array notation 	{10,3252} (exact) 	{10,3252} (exact)
Hyper-E notation 	E3252 (exact) 	E3252 (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)(1073) 	m(1)(1074)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10789)\) 	\(f_2(10790)\)
Hardy hierarchy 	\(H_{\omega^2}(10789)\) 	\(H_{\omega^2}(10790)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 5+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers