Trenonagintaquingentillion

A trenonagintaquingentillion is equal to \(10^{1782}\) in the short scale and \(10^{3558}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 593rd -illion number.
In the long scale, \(10^{1782}\) is called septenonagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1782}\) (exact) 	\(1\times10^{1782}\) (exact)
Arrow notation 	\(10\uparrow 1782\) (exact) 	\(10\uparrow 1782\) (exact)
Steinhaus-Moser Notation 	635[3] 	636[3]
Chained arrow notation 	\(10\rightarrow 1782\) (exact) 	\(10\rightarrow 1782\) (exact)
Taro's multivariable Ackermann function	A(3,5916) 	A(3,5917)
BEAF & Bird's array notation 	{10,1782} (exact) 	{10,1782} (exact)
Hyper-E notation 	E1782 (exact) 	E1782 (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)(635) 	m(1)(636)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5907)\) 	\(f_2(5908)\)
Hardy hierarchy 	\(H_{\omega^2}(5907)\) 	\(H_{\omega^2}(5908)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 8+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 8+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3558}\) (exact) 	\(1\times10^{3558}\) (exact)
Arrow notation 	\(10\uparrow 3558\) (exact) 	\(10\uparrow 3558\) (exact)
Steinhaus-Moser Notation 	1160[3] 	1161[3]
Chained arrow notation 	\(10\rightarrow 3558\) (exact) 	\(10\rightarrow 3558\) (exact)
Taro's multivariable Ackermann function	A(3,11816) 	A(3,11817)
BEAF & Bird's array notation 	{10,3558} (exact) 	{10,3558} (exact)
Hyper-E notation 	E3558 (exact) 	E3558 (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)(1160) 	m(1)(1161)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11805)\) 	\(f_2(11806)\)
Hardy hierarchy 	\(H_{\omega^2}(11805)\) 	\(H_{\omega^2}(11806)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 5+\omega 5+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers