This page contains numbers appearing in linguistics (including alphabet-related combinatorics).
List of numbers appearing in linguistics[]
- There are 26 letters in the Latin alphabet, and 24 in the Greek alphabet.
- There are 676 two-letter combinations formed from the ISO basic Latin alphabet.
- It is also the second largest undulating square number; this has been proved by David Moews.
- 676 is an even perfect square number (676 = 262).
- Prime factorization of 676 is 22 × 132.[1]
- There are 702 one- and two-letter combinations formed from the ISO basic Latin alphabet; they are used in chemical element symbols and vehicle registration plates of Germany.
- There are (including zero) 19 possible onsets, 21 possible nuclei and (including zero) eight possible codas in the spoken Korean language, resulting in 3,192 possible syllables.
- There are (including zero) 19 possible onsets, 21 possible nuclei and (including zero) 28 possible codas in the written Korean language, resulting in 11,172 possible syllables.
- In the German language, the number 12,000 is called “zwölftausend”. It is the largest number, whose German name contains different letters.
- It was also the prize for correctly answering the first five questions in the French game show Qui veut gagner des millions ? in euros.
- There are 17,576 three-letter combinations formed from the ISO basic Latin alphabet.
- There are 456,976 four-letter combinations formed from the ISO basic Latin alphabet.
- 8,549,176,320 not only contains every decimal (base 10) digit (0-9), but all the digits are placed in alphabetical order:
- 8 = eight, 5 = five, 4 = four, 9 = nine, 1 = one, 7 = seven, 6 = six, 3 = three, 2 = two and 0 = zero.
- Its prime factorization is: 210 × 33 × 5 × 61,843.
- The following are numbers that satisfy this property in other languages:
| Language(s) | Analogous number |
|---|---|
| Chinese | 8,290,673,451 |
| Czech | 4,921,085,763 |
| French | 5,289,476,310 |
| German | 8,315,906,742 |
| Greek (using Greek alphabet order) | 1,967,208,543 |
| Indonesian | 8,246,501,937 |
| Italian, Portuguese | 5,298,467,310 |
| Japanese (Romaji) | 5,819,726,340 |
| Klingon (using English transliteration) | 2,896,407,513 |
| Latin | 2,908,763,451 |
| Malay | 2,468,519,037 |
| Polish | 4,291,857,630 |
| Russian | 8,290,157,346 |
| Spanish | 542,986,731 (zero is at the beginning here) |
| Turkish | 6,519,428,037 |
- In any top-level domain, there are up to \(36 \times 37^{62}\) possible second-level domain names, but some correspond to illegal contents. This number is equal to 609,269,436,886,430,207,415,724,313,935,118,185,567,366,503,082,897,299,581,429,354,820,868,365,318,591,594,476,323,925,066,482,884.
Approximations in other notations[]
For 8,549,176,320:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(8.54917632\times10^9\) | |
| Arrow notation | \(45\uparrow6\) | \(97\uparrow5\) |
| Steinhaus-Moser Notation | 9[3] | 10[3] |
| Copy notation | 7[10] | 8[10] |
| Chained arrow notation | \(45\rightarrow6\) | \(97\rightarrow5\) |
| Taro's multivariable Ackermann function | A(3,29) | A(3,30) |
| H* function | H(2) | H(3) |
| Pound-Star Notation | #*(1,2,5)*3 | #*(2,2,5)*3 |
| PlantStar's Debut Notation | [5] | [6] |
| Hyper-E notation | 85E8 | 86E8 |
| BEAF & Bird's array notation | {45,6} | {97,5} |
| Bashicu matrix system | (0)[89442] | (0)[89443] |
| Hyperfactorial array notation | 13! | 14! |
| Fast-growing hierarchy | \(f_2(28)\) | \(f_2(29)\) |
| Hardy hierarchy | \(H_{\omega^2}(28)\) | \(H_{\omega^2}(29)\) |
| Slow-growing hierarchy | \(g_{\omega^6}(45)\) | \(g_{\omega^5}(97)\) |