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| − | The ''' |
+ | The '''Grand Faxul''' 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 [[faxul]] ()'s or 200(!<sup>200!+1</sup>) using [[Nested Factorial Notation]].The term was coined by [[Lawrence Hollom]]. |
| + | [[File:Grand faxul visualization.png|thumb|220x220px|Visualization of grand faxul using nested factorials]] |
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| + | == Etymology == |
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| + | The name of this number is based on the word "'''grand'''" and the number "[[faxul]]". |
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| + | |||
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| − | ! scope="col"|Notation |
+ | ! scope="col" |Notation |
| − | ! scope="col"|Approximation |
+ | ! scope="col" |Approximation |
| + | |- |
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| + | |[[Hyper-E notation]] |
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| + | |\(E375\#1\#2\) |
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|- |
|- |
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|[[Up-arrow notation]] |
|[[Up-arrow notation]] |
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| − | |\(10 \uparrow\uparrow (10 \uparrow |
+ | |\(10 \uparrow\uparrow (10 \uparrow 375)\) |
|- |
|- |
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|[[Chained arrow notation]] |
|[[Chained arrow notation]] |
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| − | |\(10 \rightarrow (10 \rightarrow |
+ | |\(10 \rightarrow (10 \rightarrow 375) \rightarrow 2\) |
|- |
|- |
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|[[BEAF]] |
|[[BEAF]] |
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| − | |\(\{10,\{10, |
+ | |\(\{10,\{10,375\},2\}\) |
|- |
|- |
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|[[Fast-growing hierarchy]] |
|[[Fast-growing hierarchy]] |
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| − | |\(f_3(f_2( |
+ | |\(f_3(f_2(1\,235))\) |
|- |
|- |
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|[[Hardy hierarchy]] |
|[[Hardy hierarchy]] |
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| − | |\(H_{\omega^3+\omega^2}( |
+ | |\(H_{\omega^3+\omega^2}(1\,235)\) |
|- |
|- |
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|[[Slow-growing hierarchy]] |
|[[Slow-growing hierarchy]] |
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| − | |\(g_{\epsilon_{\omega^\omega}}( |
+ | |\(g_{\epsilon_{\omega^\omega}}(170)\) |
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|} |
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| − | === Number Navigator === |
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| − | {{numnav|exafaxul|grand kilofaxul}} |
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| − | == |
+ | == Sources == |
<references/> |
<references/> |
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| + | |||
| − | + | == See also == |
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{{Factorial numbers}} |
{{Factorial numbers}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Numbers by Lawrence Hollom]] |
[[Category:Numbers by Lawrence Hollom]] |
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| + | [[Category:Orders of symmetric groups]] |
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[[Category:Factorial numbers]] |
[[Category:Factorial numbers]] |
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Revision as of 22:44, 1 December 2018
The Grand Faxul is equal to ((...((200!)!)!...)!)![1] with faxul ()'s or 200(!200!+1) using Nested Factorial Notation.The term was coined by Lawrence Hollom.
Visualization of grand faxul using nested factorials
Etymology
The name of this number is based on the word "grand" and the number "faxul".
Approximations in other notations
| Notation | Approximation |
|---|---|
| Hyper-E notation | \(E375\#1\#2\) |
| Up-arrow notation | \(10 \uparrow\uparrow (10 \uparrow 375)\) |
| Chained arrow notation | \(10 \rightarrow (10 \rightarrow 375) \rightarrow 2\) |
| BEAF | \(\{10,\{10,375\},2\}\) |
| Fast-growing hierarchy | \(f_3(f_2(1\,235))\) |
| Hardy hierarchy | \(H_{\omega^3+\omega^2}(1\,235)\) |
| Slow-growing hierarchy | \(g_{\epsilon_{\omega^\omega}}(170)\) |
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