Tresoctingentillion

A tresoctingentillion is equal to \(10^{2412}\) in the short scale and \(10^{4818}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 803rd -illion number.
In the long scale, \(10^{2412}\) is called duoquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2412}\) (exact) 	\(1\times10^{2412}\) (exact)
Arrow notation 	\(10\uparrow 2412\) (exact) 	\(10\uparrow 2412\) (exact)
Steinhaus-Moser Notation 	826[3] 	827[3]
Chained arrow notation 	\(10\rightarrow 2412\) (exact) 	\(10\rightarrow 2412\) (exact)
Taro's multivariable Ackermann function	A(3,8009) 	A(3,8010)
BEAF & Bird's array notation 	{10,2412} (exact) 	{10,2412} (exact)
Hyper-E notation 	E2412 (exact) 	E2412 (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)(826) 	m(1)(827)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7999)\) 	\(f_2(8000)\)
Hardy hierarchy 	\(H_{\omega^2}(7999)\) 	\(H_{\omega^2}(8000)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4818}\) (exact) 	\(1\times10^{4818}\) (exact)
Arrow notation 	\(10\uparrow 4818\) (exact) 	\(10\uparrow 4818\) (exact)
Steinhaus-Moser Notation 	1514[3] 	1515[3]
Chained arrow notation 	\(10\rightarrow 4818\) (exact) 	\(10\rightarrow 4818\) (exact)
Taro's multivariable Ackermann function	A(3,16002) 	A(3,16003)
BEAF & Bird's array notation 	{10,4818} (exact) 	{10,4818} (exact)
Hyper-E notation 	E4818 (exact) 	E4818 (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)(1514) 	m(1)(1515)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15991)\) 	\(f_2(15992)\)
Hardy hierarchy 	\(H_{\omega^2}(15991)\) 	\(H_{\omega^2}(15992)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers