Duoquadragintaquadringentillion

A duoquadragintaquadringentillion is equal to \(10^{1329}\) in the short scale and \(10^{2652}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 442nd -illion number.
In the long scale, \(10^{1329}\) is called unvigintiducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1329}\) (exact) 	\(1\times10^{1329}\) (exact)
Arrow notation 	\(10\uparrow 1329\) (exact) 	\(10\uparrow 1329\) (exact)
Steinhaus-Moser Notation 	493[3] 	494[3]
Chained arrow notation 	\(10\rightarrow 1329\) (exact) 	\(10\rightarrow 1329\) (exact)
Taro's multivariable Ackermann function	A(3,4411) 	A(3,4412)
BEAF & Bird's array notation 	{10,1329} (exact) 	{10,1329} (exact)
Hyper-E notation 	E1329 (exact) 	E1329 (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)(493) 	m(1)(494)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4402)\) 	\(f_2(4403)\)
Hardy hierarchy 	\(H_{\omega^2}(4402)\) 	\(H_{\omega^2}(4403)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2652}\) (exact) 	\(1\times10^{2652}\) (exact)
Arrow notation 	\(10\uparrow 2652\) (exact) 	\(10\uparrow 2652\) (exact)
Steinhaus-Moser Notation 	897[3] 	898[3]
Chained arrow notation 	\(10\rightarrow 2652\) (exact) 	\(10\rightarrow 2652\) (exact)
Taro's multivariable Ackermann function	A(3,8806) 	A(3,8807)
BEAF & Bird's array notation 	{10,2652} (exact) 	{10,2652} (exact)
Hyper-E notation 	E2652 (exact) 	E2652 (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)(897) 	m(1)(898)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8796)\) 	\(f_2(8797)\)
Hardy hierarchy 	\(H_{\omega^2}(8796)\) 	\(H_{\omega^2}(8797)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 5+2}}(10)\) (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