Duoseptuagintaducentillion

A duoseptuagintaducentillion is equal to \(10^{819}\) in the short scale and \(10^{1632}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 272nd -illion number.
In the long scale, \(10^{819}\) is called sestrigintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{819}\) (exact) 	\(1\times10^{819}\) (exact)
Arrow notation 	\(10\uparrow 819\) (exact) 	\(10\uparrow 819\) (exact)
Steinhaus-Moser Notation 	325[3] 	326[3]
Chained arrow notation 	\(10\rightarrow 819\) (exact) 	\(10\rightarrow 819\) (exact)
Taro's multivariable Ackermann function	A(3,2717) 	A(3,2718)
BEAF & Bird's array notation 	{10,819} (exact) 	{10,819} (exact)
Hyper-E notation 	E819 (exact) 	E819 (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)(325) 	m(1)(326)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[39] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[40]
Fast-growing hierarchy 	\(f_2(2709)\) 	\(f_2(2710)\)
Hardy hierarchy 	\(H_{\omega^2}(2709)\) 	\(H_{\omega^2}(2710)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1632}\) (exact) 	\(1\times10^{1632}\) (exact)
Arrow notation 	\(10\uparrow 1632\) (exact) 	\(10\uparrow 1632\) (exact)
Steinhaus-Moser Notation 	589[3] 	590[3]
Chained arrow notation 	\(10\rightarrow 1632\) (exact) 	\(10\rightarrow 1632\) (exact)
Taro's multivariable Ackermann function	A(3,5418) 	A(3,5419)
BEAF & Bird's array notation 	{10,1632} (exact) 	{10,1632} (exact)
Hyper-E notation 	E1632 (exact) 	E1632 (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)(589) 	m(1)(590)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5408)\) 	\(f_2(5409)\)
Hardy hierarchy 	\(H_{\omega^2}(5408)\) 	\(H_{\omega^2}(5409)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers