Duooctingentillion

A duooctingentillion is equal to \(10^{2409}\) in the short scale and \(10^{4812}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 802nd -illion number.
In the long scale, \(10^{2409}\) is called unquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2409}\) (exact) 	\(1\times10^{2409}\) (exact)
Arrow notation 	\(10\uparrow 2409\) (exact) 	\(10\uparrow 2409\) (exact)
Steinhaus-Moser Notation 	825[3] 	826[3]
Chained arrow notation 	\(10\rightarrow 2409\) (exact) 	\(10\rightarrow 2409\) (exact)
Taro's multivariable Ackermann function	A(3,7999) 	A(3,8000)
BEAF & Bird's array notation 	{10,2409} (exact) 	{10,2409} (exact)
Hyper-E notation 	E2409 (exact) 	E2409 (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)(825) 	m(1)(826)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7989)\) 	\(f_2(7990)\)
Hardy hierarchy 	\(H_{\omega^2}(7989)\) 	\(H_{\omega^2}(7990)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4812}\) (exact) 	\(1\times10^{4812}\) (exact)
Arrow notation 	\(10\uparrow 4812\) (exact) 	\(10\uparrow 4812\) (exact)
Steinhaus-Moser Notation 	1513[3] 	1514[3]
Chained arrow notation 	\(10\rightarrow 4812\) (exact) 	\(10\rightarrow 4812\) (exact)
Taro's multivariable Ackermann function	A(3,15982) 	A(3,15983)
BEAF & Bird's array notation 	{10,4812} (exact) 	{10,4812} (exact)
Hyper-E notation 	E4812 (exact) 	E4812 (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)(1513) 	m(1)(1514)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15971)\) 	\(f_2(15972)\)
Hardy hierarchy 	\(H_{\omega^2}(15971)\) 	\(H_{\omega^2}(15972)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega+2}}(10)\) (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