10140 is the number following 10139 and preceding 10141.
Properties[]
- Its factors are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070 and 10140, making it a composite number.[1][2][3] It is also a cubefree number.[4]
- 10140 is an even number[5][6] .
- 10140 is an unhappy number.[7][8]
- 10140 is abundant.[9]
- Its prime factorization is 22 × 31 × 51 × 132.
Approximations[]
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 101 ↑ 2 | ||
| Scientific notation | 1.014 x 104 | 1.015 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 9[4] | 1[5] | |
| Chained arrow notation | 101 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {101,2} | ||
| Fast-growing hierarchy | f2(9) | f2(10) | |
| Hardy hierarchy | Hω(5070) | Hω(5070) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.006 | ||
| Hyper-E notation (non-10 base) | \(E[101]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 101{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.3) | H(0.4) | |
| Bashicu matrix system with respect to version 4 | (0)[100] | (0)[101] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(5069)\) | \(s(1)(\lambda x . x+1)(5070)\) | |
Sources[]
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 10140 composite?
- ↑ Wolfram Alpha 10140's factors
- ↑ OEIS A004709 - Cubefree numbers
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 10140 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A005101 - Abundant numbers