| 40000
< 39999 | 40001 > |
|||||||||
|---|---|---|---|---|---|---|---|---|---|
| All Numbers | |||||||||
| 40000 | 40001 | 40002 | 40003 | 40004 | 40005 | 40006 | 40007 | 40008 | 40009 |
| 40010 | 40011 | 40012 | 40013 | 40014 | 40015 | 40016 | 40017 | 40018 | 40019 |
| 40020 | 40021 | 40022 | 40023 | 40024 | 40025 | 40026 | 40027 | 40028 | 40029 |
| 40030 | 40031 | 40032 | 40033 | 40034 | 40035 | 40036 | 40037 | 40038 | 40039 |
| 40040 | 40041 | 40042 | 40043 | 40044 | 40045 | 40046 | 40047 | 40048 | 40049 |
| 40050 | 40051 | 40052 | 40053 | 40054 | 40055 | 40056 | 40057 | 40058 | 40059 |
| 40060 | 40061 | 40062 | 40063 | 40064 | 40065 | 40066 | 40067 | 40068 | 40069 |
| 40070 | 40071 | 40072 | 40073 | 40074 | 40075 | 40076 | 40077 | 40078 | 40079 |
| 40080 | 40081 | 40082 | 40083 | 40084 | 40085 | 40086 | 40087 | 40088 | 40089 |
| 40090 | 40091 | 40092 | 40093 | 40094 | 40095 | 40096 | 40097 | 40098 | 40099 |
40000 is the number following 39999 and preceding 40001.
Properties
- Its factors are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 8000, 10000, 20000 and 40000, making it a composite number.[1][2][3]
- 40000 is an even number[4][5] .
- 40000 is an unhappy number.[6][7]
- 40000 is a centered octagonal number.[8]
- 40000 is abundant.[9]
- Its prime factorization is 26 × 54.
- 40000 is a Harshad number, meaning it is divisible by the sum of its digits.[10]
- The prize for correctly answering the first seven questions in the Indian game show Kaun Banega Crorepati is equal to 40,000 Indian rupees.
- It is also used as an approximation for the circumference of the Earth, which is slightly larger than 40,000 km.
- In the Hawaiian language, 40,000 is called “kini”.
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 200 ↑ 2 | ||
| Scientific notation | 4 x 104 | 4.001 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 3[5] | 4[5] | |
| Chained arrow notation | 200 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {200,2} | ||
| Fast-growing hierarchy | f2(11) | f2(12) | |
| Hardy hierarchy | Hω(20000) | Hω(20000) | |
| Middle-growing hierarchy | m(ω,15) | m(ω,16) | |
| Hyper-E notation | E4.6021 | ||
| Hyper-E notation (non-10 base) | \(E[200]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 200{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.5) | H(0.6) | |
| Bashicu matrix system with respect to version 4 | (0)[200] | (0)[200] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(19999)\) | \(s(1)(\lambda x . x+1)(20000)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 40000 composite?
- ↑ Wolfram Alpha 40000's factors
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 40000 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers