Decioctingentillion

A decioctingentillion is equal to \(10^{2433}\) in the short scale and \(10^{4860}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 810th -illion number.
In the long scale, \(10^{2433}\) is called quinquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2433}\) (exact) 	\(1\times10^{2433}\) (exact)
Arrow notation 	\(10\uparrow 2433\) (exact) 	\(10\uparrow 2433\) (exact)
Steinhaus-Moser Notation 	833[3] 	834[3]
Chained arrow notation 	\(10\rightarrow 2433\) (exact) 	\(10\rightarrow 2433\) (exact)
Taro's multivariable Ackermann function	A(3,8079) 	A(3,8080)
BEAF & Bird's array notation 	{10,2433} (exact) 	{10,2433} (exact)
Hyper-E notation 	E2433 (exact) 	E2433 (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)(833) 	m(1)(834)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8069)\) 	\(f_2(8070)\)
Hardy hierarchy 	\(H_{\omega^2}(8069)\) 	\(H_{\omega^2}(8070)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 3+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4860}\) (exact) 	\(1\times10^{4860}\) (exact)
Arrow notation 	\(10\uparrow 4860\) (exact) 	\(10\uparrow 4860\) (exact)
Steinhaus-Moser Notation 	1526[3] 	1527[3]
Chained arrow notation 	\(10\rightarrow 4860\) (exact) 	\(10\rightarrow 4860\) (exact)
Taro's multivariable Ackermann function	A(3,16141) 	A(3,16142)
BEAF & Bird's array notation 	{10,4860} (exact) 	{10,4860} (exact)
Hyper-E notation 	E4860 (exact) 	E4860 (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)(1526) 	m(1)(1527)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16130)\) 	\(f_2(16131)\)
Hardy hierarchy 	\(H_{\omega^2}(16130)\) 	\(H_{\omega^2}(16131)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 6}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 6}}(10)\) (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