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+ | A '''tresquadragintillion''' or '''trequadragintillion''' is equal to \(10^{132}\) in the [[short scale]], or \(10^{258}\) in the [[long scale]]. Tresquadragintillion is a name by Conway and Guy's naming system,<ref>Conway and Guy. (1995) "The book of Numbers" Copernicus</ref><ref>[http://www.mrob.com/pub/math/largenum.html#conway-wechsler The Conway-Wechsler System]</ref> and trequadragintillion is a name adapted from the Conway's system<ref>[https://dencode.com/en/number/english About English numerals]</ref><ref>{{cite web|url=https://kyodaisuu.github.io/illion/|title=Conway's zillion numbers|accessdate=2021-07-28}}</ref> or [[Jonathan Bowers]] system.<ref>{{cite web|first=Sbiis|last=Saibian|url=https://sites.google.com/site/largenumbers/home/2-4/2-4-8-bowers-illions|title=2.4.8 Bowers' -illions - Large Numbers|accessdate=2021-07-28}}</ref> |
In the [[long scale]] which is commonly used in France and Germany, \(10^{132}\) is called '''duovigintillion'''. |
In the [[long scale]] which is commonly used in France and Germany, \(10^{132}\) is called '''duovigintillion'''. |
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|[[duoquadragintillion]] || 10<sup>129</sup> || 10<sup>252</sup> |
|[[duoquadragintillion]] || 10<sup>129</sup> || 10<sup>252</sup> |
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| − | |[[ |
+ | |[[tresquadragintillion]] || 10<sup>132</sup> || 10<sup>258</sup> |
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|[[quattuorquadragintillion]] || 10<sup>135</sup> || 10<sup>264</sup> |
|[[quattuorquadragintillion]] || 10<sup>135</sup> || 10<sup>264</sup> |
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|[[quinquadragintillion]] || 10<sup>138</sup> || 10<sup>270</sup> |
|[[quinquadragintillion]] || 10<sup>138</sup> || 10<sup>270</sup> |
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| − | |[[ |
+ | |[[sesquadragintillion]] || 10<sup>141</sup> || 10<sup>276</sup> |
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|[[septenquadragintillion]] || 10<sup>144</sup> || 10<sup>282</sup> |
|[[septenquadragintillion]] || 10<sup>144</sup> || 10<sup>282</sup> |
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|[[octoquadragintillion]] || 10<sup>147</sup> || 10<sup>288</sup> |
|[[octoquadragintillion]] || 10<sup>147</sup> || 10<sup>288</sup> |
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| − | |[[ |
+ | |[[novenquadragintillion]] || 10<sup>150</sup> || 10<sup>294</sup> |
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== See also == |
== See also == |
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{{Illion}} |
{{Illion}} |
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[[Category:Numbers]] |
[[Category:Numbers]] |
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[[Category:Illion]] |
[[Category:Illion]] |
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[[Category:Quadragintillion]] |
[[Category:Quadragintillion]] |
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[[Category:Numbers with 101 to 999 digits]] |
[[Category:Numbers with 101 to 999 digits]] |
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| − | [[Category:Powers of 10 with exponent not ending in a 0 or a 3]] |
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Latest revision as of 01:12, 1 October 2023
A tresquadragintillion or trequadragintillion is equal to \(10^{132}\) in the short scale, or \(10^{258}\) in the long scale. Tresquadragintillion is a name by Conway and Guy's naming system,[1][2] and trequadragintillion is a name adapted from the Conway's system[3][4] or Jonathan Bowers system.[5]
In the long scale which is commonly used in France and Germany, \(10^{132}\) is called duovigintillion.
Approximations
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{132}\) | |
| Arrow notation | \(10\uparrow132\) | |
| Steinhaus-Moser Notation | 71[3] | 72[3] |
| Copy notation | 9[132] | 1[133] |
| Taro's multivariable Ackermann function | A(3,435) | A(3,436) |
| Pound-Star Notation | #*(13,11,8,6,10,4,5,4)*9 | #*(14,11,8,6,10,4,5,4)*9 |
| BEAF | {10,132} | |
| Hyper-E notation | E132 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)[13335] | (0)(0)(0)(0)(0)[13336] |
| Hyperfactorial array notation | 86! | 87! |
| Fast-growing hierarchy | \(f_2(429)\) | \(f_2(430)\) |
| Hardy hierarchy | \(H_{\omega^2}(429)\) | \(H_{\omega^2}(430)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega3+2}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{258}\) | |
| Arrow notation | \(10\uparrow258\) | |
| Steinhaus-Moser Notation | 123[3] | 124[3] |
| Copy notation | 9[258] | 1[259] |
| Taro's multivariable Ackermann function | A(3,854) | A(3,855) |
| Pound-Star Notation | #*((1658))*10 | #*((1659))*10 |
| BEAF | {10,258} | |
| Hyper-E notation | E258 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[10746] | (0)(0)(0)(0)(0)(0)[10747] |
| Hyperfactorial array notation | 147! | 148! |
| Fast-growing hierarchy | \(f_2(847)\) | \(f_2(848)\) |
| Hardy hierarchy | \(H_{\omega^2}(847)\) | \(H_{\omega^2}(848)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^22+\omega5+8}}(10)\) | |
List of prefixed numbers derived from quadragintillion
| Name | Short scale | Long scale |
|---|---|---|
| unquadragintillion | 10126 | 10246 |
| duoquadragintillion | 10129 | 10252 |
| tresquadragintillion | 10132 | 10258 |
| quattuorquadragintillion | 10135 | 10264 |
| quinquadragintillion | 10138 | 10270 |
| sesquadragintillion | 10141 | 10276 |
| septenquadragintillion | 10144 | 10282 |
| octoquadragintillion | 10147 | 10288 |
| novenquadragintillion | 10150 | 10294 |
Sources
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ The Conway-Wechsler System
- ↑ About English numerals
- ↑ Conway's zillion numbers. Retrieved 2021-07-28.
- ↑ Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-07-28.
See also
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct