A tresexagintillion is equal to 10192 in the short scale, or 10378 in the long scale by Conway and Guy's naming system.[1][2][3][4]
It is the smallest positive integer, whose full decimal expansion with thousands separators cannot be used at all as a page title in MediaWiki projects.
In the long scale which is commonly used in France and Germany, 10192 is called duotrigintillion.
Approximations[]
For short scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{192}\) | |
| Arrow notation | \(10\uparrow192\) | |
| Steinhaus-Moser Notation | 96[3] | 97[3] |
| Copy notation | 9[192] | 1[193] |
| Taro's multivariable Ackermann function | A(3,634) | A(3,635) |
| Pound-Star Notation | #*((285))*9 | #*((286))*9 |
| BEAF | {10,192} | |
| Hyper-E notation | E192 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[1000] | |
| Hyperfactorial array notation | 116! | 117! |
| Fast-growing hierarchy | \(f_2(628)\) | \(f_2(629)\) |
| Hardy hierarchy | \(H_{\omega^2}(628)\) | \(H_{\omega^2}(629)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega9+2}}(10)\) | |
For long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{378}\) | |
| Arrow notation | \(10\uparrow378\) | |
| Steinhaus-Moser Notation | 169[3] | 170[3] |
| Copy notation | 9[378] | 1[379] |
| Taro's multivariable Ackermann function | A(3,1252) | A(3,1253) |
| Pound-Star Notation | #*((773))*12 | #*((774))*12 |
| BEAF | {10,378} | |
| Hyper-E notation | E378 | |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)(0)[897] | (0)(0)(0)(0)(0)(0)(0)[898] |
| Hyperfactorial array notation | 201! | 202! |
| Fast-growing hierarchy | \(f_2(1245)\) | \(f_2(1246)\) |
| Hardy hierarchy | \(H_{\omega^2}(1245)\) | \(H_{\omega^2}(1246)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^23+\omega7+8}}(10)\) | |
List of prefixed numbers derived from sexagintillion[]
| Name | Short scale | Long scale |
|---|---|---|
| unsexagintillion | 10186 | 10366 |
| duosexagintillion | 10189 | 10372 |
| tresexagintillion | 10192 | 10378 |
| quattuorsexagintillion | 10195 | 10384 |
| quinsexagintillion | 10198 | 10390 |
| sesexagintillion | 10201 | 10396 |
| septensexagintillion | 10204 | 10402 |
| octosexagintillion | 10207 | 10408 |
| novensexagintillion | 10210 | 10414 |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Robert Munafo The Conway-Wechsler System. Retrieved 2023-02-05.
- ↑ Steve Olsen Big-Ass Numbers. Retrieved 2023-02-05.
- ↑ Fish Conway's zillion numbers. Retrieved 2023-02-05.
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
1,000–1030: 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 · ront · quect