No edit summary Tag: rte-wysiwyg |
Unknown95387 (talk | contribs) No edit summary Tag: Visual edit |
||
| (3 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
The '''grand terafaxul''' is equal to ((...((200!)!)!...)!)!<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-numbers/number Lawrence Hollom's large numbers site]</ref> (with [[terafaxul]] ()'s) or 200!<sup>200!<sup>5</sup>+1</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]]. |
The '''grand terafaxul''' is equal to ((...((200!)!)!...)!)!<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-numbers/number Lawrence Hollom's large numbers site]</ref> (with [[terafaxul]] ()'s) or 200!<sup>200!<sup>5</sup>+1</sup> using [[Nested Factorial Notation]]. The term was coined by [[Lawrence Hollom]]. |
||
| + | |||
| − | + | == Etymology == |
|
The name of this number is based on the word "'''grand'''" and the number "[[terafaxul]]". |
The name of this number is based on the word "'''grand'''" and the number "[[terafaxul]]". |
||
| + | |||
| − | + | == Approximations in other notations == |
|
{| border="0" cellpadding="1" cellspacing="1" class="article-table" style="width: 500px;" |
{| border="0" cellpadding="1" cellspacing="1" class="article-table" style="width: 500px;" |
||
|- |
|- |
||
| Line 21: | Line 23: | ||
|- |
|- |
||
|[[Fast-growing hierarchy]] |
|[[Fast-growing hierarchy]] |
||
| − | |\(f_3(f_2(f_2(f_2(f_2(f_2( |
+ | |\(f_3(f_2(f_2(f_2(f_2(f_2(1\,235))))))\) |
|- |
|- |
||
|[[Hardy hierarchy]] |
|[[Hardy hierarchy]] |
||
| Line 30: | Line 32: | ||
|} |
|} |
||
| − | == |
+ | == Sources == |
<references/> |
<references/> |
||
| + | |||
| − | + | == See also == |
|
{{Factorial numbers}} |
{{Factorial numbers}} |
||
[[Category:Numbers]] |
[[Category:Numbers]] |
||
[[Category:Numbers by Lawrence Hollom]] |
[[Category:Numbers by Lawrence Hollom]] |
||
| − | [[Category: |
+ | [[Category:Orders of symmetric groups]] |
| ⚫ | |||
[[Category:Up-arrow notation level]] |
[[Category:Up-arrow notation level]] |
||
| ⚫ | |||
Revision as of 16:45, 11 December 2018
The grand terafaxul is equal to ((...((200!)!)!...)!)![1] (with terafaxul ()'s) or 200!200!5+1 using Nested Factorial Notation. The term was coined by Lawrence Hollom.
Etymology
The name of this number is based on the word "grand" and the number "terafaxul".
Approximations in other notations
| Notation | Approximation |
|---|---|
| Hyper-E notation | \(E10\#(E377\#5)\) |
| Up-arrow notation | \(10 \uparrow\uparrow (10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 377)\) |
| Chained arrow notation | \(10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow (10 \rightarrow 377))))) \rightarrow 2\) |
| BEAF | \(\{10,\{10,\{10,\{10,\{10,\{10,377\}\}\}\}\},2\}\) |
| Fast-growing hierarchy | \(f_3(f_2(f_2(f_2(f_2(f_2(1\,235))))))\) |
| Hardy hierarchy | \(H_{\omega^3+(\omega^2) 5}(200)\) |
| Slow-growing hierarchy | \(g_{\epsilon_{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(200)\) |
Sources
See also
Faxul · Giaxul · Hugexul · Enormaxul · Destruxul · Extremexul · Gigantixul · Nucleaxul · BIGG
Faxul group: Faxul · Kilofaxul · Megafaxul · Gigafaxul · Terafaxul · Petafaxul · Exafaxul · Grand Faxul · Grand Kilofaxul · Grand Megafaxul · Grand Gigafaxul · Grand Terafaxul · Grand Petafaxul · Grand Exafaxul · Bigrand Faxul · Bigrand Kilofaxul · Bigrand Megafaxul · Trigrand Faxul · Trigrand Kilofaxul · Quadgrand Faxul · Quintgrand Faxul
Expofaxul group: Expofaxul · Kiloexpofaxul · Megaexpofaxul · Gigaexpofaxul · Teraexpofaxul · Petaexpofaxul · Exaexpofaxul · Grand expofaxul · Grand kiloexpofaxul · Grand megaexpofaxul · Grand gigaexpofaxul · Grand teraexpofaxul · Grand petaexpofaxul · Grand exaexpofaxul · Bigrand expofaxul · Bigrand kiloexpofaxul · Bigrand megaexpofaxul · Trigrand expofaxul · Trigrand kiloexpofaxul · Quadgrand expofaxul · Quintgrand expofaxul
Tetrofaxul group: Tetrofaxul · Kilotetrofaxul · Megatetrofaxul · Gigatetrofaxul · Teratetrofaxul · Petatetrofaxul · Exatetrofaxul · Grand tetrofaxul · Grand kilotetrofaxul · Grand megatetrofaxul · Grand gigatetrofaxul · Grand teratetrofaxul · Grand petatetrofaxul · Grand exatetrofaxul · Bigrand tetrofaxul · Bigrand kilotetrofaxul · Bigrand megatetrofaxul · Trigrand tetrofaxul · Trigrand kilotetrofaxul · Quadgrand tetrofaxul · Quintgrand tetrofaxul
Pentofaxul group: Pentofaxul · Kilopentofaxul · Megapentofaxul · Gigapentofaxul · Grand pentofaxul · Grand kilopentofaxul · Grand megapentofaxul · Grand gigapentofaxul · Bigrand pentofaxul · Trigrand pentofaxul
Hexofaxul group: Hexofaxul · Kilohexofaxul · Megahexofaxul · Gigahexofaxul · Grand hexofaxul · Grand kilohexofaxul · Grand megahexofaxul · Grand gigahexofaxul · Bigrand hexofaxul · Trigrand hexofaxul
Heptofaxul group: Heptofaxul · Octofaxul
Hyperfaxul group: Hyperfaxul · Kilohyperfaxul · Megahyperfaxul · Gigahyperfaxul · Terahyperfaxul · Petahyperfaxul · Exahyperfaxul · Grand hyperfaxul · Grand kilohyperfaxul · Grand megahyperfaxul · Grand gigahyperfaxul · Grand terahyperfaxul · Grand petahyperfaxul · Grand exahyperfaxul · Bigrand hyperfaxul · Bigrand kilohyperfaxul · Bigrand megahyperfaxul · Trigrand hyperfaxul · Trigrand kilohyperfaxul · Trigrand megahyperfaxul · Quadgrand hyperfaxul · Quintgrand hyperfaxul
Redstonepillager's extensions: Kiloheptofaxul · Megaheptofaxul · Ennofaxul · Decofaxul · Undecofaxul · Dodecofaxul · Tredecofaxul · Dopperfaxul · Kilodopperfaxul · Megadopperfaxul · Tropperfaxul · Quadroppperfaxul · Quintopperfaxul · Sextopperfaxul · Septopperfaxul · Oxtopperfaxul · Novtopperfaxul · Dextopperfaxul · Googaxul