Duoquadragintaoctingentillion

A duoquadragintaoctingentillion is equal to \(10^{2529}\) in the short scale and \(10^{5052}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 842nd -illion number.
In the long scale, \(10^{2529}\) is called unvigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2529}\) (exact) 	\(1\times10^{2529}\) (exact)
Arrow notation 	\(10\uparrow 2529\) (exact) 	\(10\uparrow 2529\) (exact)
Steinhaus-Moser Notation 	861[3] 	862[3]
Chained arrow notation 	\(10\rightarrow 2529\) (exact) 	\(10\rightarrow 2529\) (exact)
Taro's multivariable Ackermann function	A(3,8398) 	A(3,8399)
BEAF & Bird's array notation 	{10,2529} (exact) 	{10,2529} (exact)
Hyper-E notation 	E2529 (exact) 	E2529 (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)(861) 	m(1)(862)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8388)\) 	\(f_2(8389)\)
Hardy hierarchy 	\(H_{\omega^2}(8388)\) 	\(H_{\omega^2}(8389)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 2+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5052}\) (exact) 	\(1\times10^{5052}\) (exact)
Arrow notation 	\(10\uparrow 5052\) (exact) 	\(10\uparrow 5052\) (exact)
Steinhaus-Moser Notation 	1579[3] 	1580[3]
Chained arrow notation 	\(10\rightarrow 5052\) (exact) 	\(10\rightarrow 5052\) (exact)
Taro's multivariable Ackermann function	A(3,16779) 	A(3,16780)
BEAF & Bird's array notation 	{10,5052} (exact) 	{10,5052} (exact)
Hyper-E notation 	E5052 (exact) 	E5052 (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)(1579) 	m(1)(1580)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16768)\) 	\(f_2(16769)\)
Hardy hierarchy 	\(H_{\omega^2}(16768)\) 	\(H_{\omega^2}(16769)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 5+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 5+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers