Trenonagintaseptingentillion

A trenonagintaseptingentillion is equal to \(10^{2382}\) in the short scale and \(10^{4758}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 793rd -illion number.
In the long scale, \(10^{2382}\) is called septenonagintatrecentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2382}\) (exact) 	\(1\times10^{2382}\) (exact)
Arrow notation 	\(10\uparrow 2382\) (exact) 	\(10\uparrow 2382\) (exact)
Steinhaus-Moser Notation 	817[3] 	818[3]
Chained arrow notation 	\(10\rightarrow 2382\) (exact) 	\(10\rightarrow 2382\) (exact)
Taro's multivariable Ackermann function	A(3,7909) 	A(3,7910)
BEAF & Bird's array notation 	{10,2382} (exact) 	{10,2382} (exact)
Hyper-E notation 	E2382 (exact) 	E2382 (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)(817) 	m(1)(818)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7899)\) 	\(f_2(7900)\)
Hardy hierarchy 	\(H_{\omega^2}(7899)\) 	\(H_{\omega^2}(7900)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 8+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 3+\omega 8+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4758}\) (exact) 	\(1\times10^{4758}\) (exact)
Arrow notation 	\(10\uparrow 4758\) (exact) 	\(10\uparrow 4758\) (exact)
Steinhaus-Moser Notation 	1498[3] 	1499[3]
Chained arrow notation 	\(10\rightarrow 4758\) (exact) 	\(10\rightarrow 4758\) (exact)
Taro's multivariable Ackermann function	A(3,15802) 	A(3,15803)
BEAF & Bird's array notation 	{10,4758} (exact) 	{10,4758} (exact)
Hyper-E notation 	E4758 (exact) 	E4758 (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)(1498) 	m(1)(1499)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15791)\) 	\(f_2(15792)\)
Hardy hierarchy 	\(H_{\omega^2}(15791)\) 	\(H_{\omega^2}(15792)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 7+\omega 5+8}}(10)\) (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