The number 40129
40129 is a twin prime (40127 and 40129 are both prime) and the 4216th prime number. Its only divisors are 1 and 40129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40129: a twin prime (40127 and 40129 are both prime); the 4216th prime number.
- 2
40129 is prime, so its only factors are 1 and 40129. It is the 4216th prime; the next prime is 40151 and the one before is 40127.
- 3
The divisors add up to 40130; without 40129 itself that is 1, so 40129 is deficient (1 is less than 40129). Euler's totient φ(40129) = 40128 numbers up to 40129 share no factor with it.
- 4
The digits of 40129 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40129 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40130 |
| Euler totient φ(n) | 40128 |
| Square | 1610336641 |
| Cube | 64621199066689 |
| Square root | 200.322240 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0129 × |
40129 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-nine |
| Binary (base 2) | 1001110011000001 |
| Octal (base 8) | 116301 |
| Hexadecimal (base 16) | 9CC1 |
| Base 3 | 2001001021 |
| As time | 40129 seconds = 11 h 8 min 49 s |
Is 40129 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40129 a prime number?
Yes. 40129 is divisible only by 1 and itself.
What are the factors of 40129?
1, 40129.
What is 40129 in binary?
1001110011000001 (hexadecimal 9CC1, octal 116301).
What is the square root of 40129?
About 200.3222.
Is 40129 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40129?
40129 is a twin prime (40127 and 40129 are both prime); the 4216th prime number.