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[[Category:Numbers by Lawrence Hollom]] |
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[[Category:Factorial numbers]] |
[[Category:Factorial numbers]] |
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[[Category:Powers of 200]] |
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Revision as of 09:13, 10 September 2017
The Grand Megaenourmaquaxul is equal to ((...((200![200(2)200(2)200(2)200])![200(2)200(2)200(2)200])![200(2)200(2)200(2)200]...)![200(2)200(2)200(2)200])![200(2)200(2)200(2)200] (with Megaenourmaquaxul parentheses), using Hyperfactorial array notation.[1]
Etymology
The name of this number is based on the word "grand" and the number "Megaenormaquaxul".
Approximations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{200,\{200,4,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200]2\} \\ ,201[1[1\neg4]200[1\neg4]200[1\neg4]200[1\neg4]200]2\}\) |
| Hierarchical Hyper-Nested Array Notation | \(\{200,\{200,4,201[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200]2\} \\ ,201[1[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200[1/3\sim2]200]2\}\) |
| BEAF | \(\{200,\{200,4,201(\{X,\{X,\{X,\{X,199X,1,1,5\}+199X,1,1,4\} \\ +199X,1,1,3\}+199X,1,1,2\})2\},201(\{X,\{X,\{X, \\ \{X,199X,1,1,5\}+199X,1,1,4\}+199X,1,1,3\}+199X,1,1,2\})2\}\)[2] |
| Fast-growing hierarchy | \(f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+200} \\ (f_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)+199}^3(200))\) |
| Hardy hierarchy | \(H_{\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,198)+199)+199)+199)\times(\omega^{200}+\omega^{199}3)}(200)\) |
| Slow-growing hierarchy | \(g_{\theta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega+199)+199)+199)+199)+200,} \\ _{\vartheta(\varphi(1,0,0,\varphi(2,0,0,\varphi(3,0,0,\varphi(4,0,0,\Omega+199)+199)+199)+199)+200))}(3)\) |
Sources
- ↑ Lawrence Hollom's large numbers site
- ↑ Using particular notation \(\{a,b (A) 2\} = A \&\ a\) with prime b.
See also
Template:Enourmaxul factorial numbers