Ecetonplex

Ecetonplex (also called a centillionplex) is equal to E303#2 = EE303 = 1010303, using Hyper-E notation.Hyper-E Numbers - Large Numbers by Sbiis SaibianSbiis Saibian's Ultimate Large Numbers List The name was coined by Sbiis Saibian. It is equal to 1 followed by a centillion (also known as eceton) zeroes. It is much larger than a googolplex. In fact an ecetonplex is greater than a googolplex raised to the power of a googol, which is (1010100)10100 = 1010200 (also known as gargoogol-plexed). It is 10303+1 digits long.
When Sbiis Saibian was young, he called this number centillionillion.https://sites.google.com/site/largenumbers/home/4-3/4-3-1-foray A 2nd Grader's Close Encounter with the Infinite - Large Numbers by Sbiis Saibian It is the only name for a large number he came up with during his childhood. Note that "centillionillion" is not a technically accurate name for this number; logically, "centillionillion" should mean the centillionth -illion, or 103*10303+3 (also called mehectillion). Sbiis Saibian also notes this on his website.
Written out in scientific notation of ecetonplex is:
Writing down the full decimal expansion would take 10297 books of 400 pages each, with 2,500 digits on each page.
==Computation==
Ecetonplex is \(f(303)\) when: \(\left\{ \begin{array}{ll} f(n)=f(n-1)^{10} \\ f(0)=10 \end{array} \right.\)
== Names in -illion systems ==
In Conway-Wechsler system,Conway and Guy (1995) "The book of Numbers" Copernicus \(10^{10^{303}}\) is expressed in short scale as follows by using Fish's result.User blog:Kyodaisuu/Illion name of 10^10^x in Conway-Wechsler system
Full expansion is
According to Landon Curt Noll's The English name of a number, ecetonplex is also known as:
==Approximations==
Notation 	Lower bound 	Upper bound
Arrow notation 	\(10\uparrow10\uparrow303\) 	\(10\uparrow10\uparrow303\)
Down-arrow notation 	\(10\downarrow\downarrow304\) 	\(10\downarrow\downarrow304\)
Steinhaus-Moser Notation 	\(140[3][3]\) 	\(141[3][3]\)
Copy notation 	\(9[9[303]]\) 	\(1[10[152]]\)
H* function 	\(H(333H(99))\) 	\(H(334H(99))\)
Taro's multivariable Ackermann function	\(A(3,A(3,1005))\) 	\(A(3,A(3,1006))\)
Pound-Star Notation 	\(\#\text{*}((1))\text{*}((1))\text{*}9\)	\(\#\text{*}((1))\text{*}((2))\text{*}9\)
BEAF 	\(\{10,\{10,303\}\}\) 	\(\{10,\{10,303\}\}\)
Bashicu matrix system 	\((0)(1)[31]\) 	\((0)(1)[32]\)
Hyperfactorial array notation 	\((167!)!\) 	\((168!)!\)
Fast-growing hierarchy 	\(f_2(f_2(998))\) 	\(f_2(f_2(999))\)
Hardy hierarchy 	\(H_{\omega^22}(998)\) 	\(H_{\omega^22}(999)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^{\omega^23+3}}}(10)\)	\(g_{\omega^{\omega^{\omega^23+3}}}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Class 3
Category:Hyper-E numbers
Category:Eceton series
Category:Upper class 3