Octingentillion

An octingentillion is equal to \(10^{2403}\) in the short scale and \(10^{4800}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus and the Jonathan Bowers' systemIllion Numbers by Jonathan Bowers as it is the 800th -illion number.
In the long scale, \(10^{2403}\) is called quadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound 	 	 	
Scientific notation 	\(1\times10^{2403}\) (exact) 	\(1\times10^{2403}\) (exact) 	 	 	
Arrow notation 	\(10\uparrow 2403\) (exact) 	\(10\uparrow 2403\) (exact) 	 	 	
Steinhaus-Moser Notation 	824[3] 	825[3] 	 	 	
Chained arrow notation 	\(10\rightarrow 2403\) (exact) 	\(10\rightarrow 2403\) (exact) 	 	 	
Taro's multivariable Ackermann function	A(3,7979) 	A(3,7980) 	 	 	
BEAF & Bird's array notation 	{10,2403} (exact) 	{10,2403} (exact) 	 	 	
Hyper-E notation 	E2403 (exact) 	E2403 (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)(824) 	m(1)(825) 	 	 	
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4] 	 	 	
Copy notation 	9[2403] 	10[1202] 	 	 	
Pound-Star Notation 	#*((2))*28 	#*((3))*28 	 	 	
Hyperfactorial array notation 	944! 	- 	Fast-growing hierarchy	\(f_2(7969)\)	\(f_2(7970)\)
Hardy hierarchy 	\(H_{\omega^2}(7969)\) 	\(H_{\omega^2}(7970)\) 	 	 	
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+3}}(10)\) (exact)	 	 	
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4800}\) (exact) 	\(1\times10^{4800}\) (exact)
Arrow notation 	\(10\uparrow 4800\) (exact) 	\(10\uparrow 4800\) (exact)
Steinhaus-Moser Notation 	1509[3] 	1510[3]
Chained arrow notation 	\(10\rightarrow 4800\) (exact) 	\(10\rightarrow 4800\) (exact)
Taro's multivariable Ackermann function	A(3,15942) 	A(3,15943)
BEAF & Bird's array notation 	{10,4800} (exact) 	{10,4800} (exact)
Hyper-E notation 	E4800 (exact) 	E4800 (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)(1509) 	m(1)(1510)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[4800] 	1[4801]
Pound-Star Notation 	#*((3158))*37 	#*((3159))*37
Hyperfactorial array notation 	1713! 	1714!
Fast-growing hierarchy 	\(f_2(15931)\) 	\(f_2(15932)\)
Hardy hierarchy 	\(H_{\omega^2}(15931)\) 	\(H_{\omega^2}(15932)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers