The number 40128
40128 is a composite number with 56 divisors. Its prime factorisation is × 3 × 11 × 19. Divisors (56): 1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44 … 40128.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40128 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40128 is composite. Its prime factorisation is
- 3
The divisors add up to 121920; without 40128 itself that is 81792, so 40128 is abundant (81792 is more than 40128). Euler's totient φ(40128) = 11520 numbers up to 40128 share no factor with it.
- 4
The digits of 40128 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40128 = 2^{6} \times 3 \times 11 \times 19 \]40128 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 121920 |
| Euler totient φ(n) | 11520 |
| Square | 1610256384 |
| Cube | 64616368177152 |
| Square root | 200.319744 (= 8√627) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0128 × |
40128 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-eight |
| Binary (base 2) | 1001110011000000 |
| Octal (base 8) | 116300 |
| Hexadecimal (base 16) | 9CC0 |
| Base 3 | 2001001020 |
| As time | 40128 seconds = 11 h 8 min 48 s |
Is 40128 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40128 ÷ 2 = 20064) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40128 ÷ 3 = 13376) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40128 ÷ 4 = 10032) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40128 ÷ 6 = 6688) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (40128 ÷ 8 = 5016) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40128 ÷ 11 = 3648) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40128 ÷ 12 = 3344) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40128 a prime number?
No. 40128 = × 3 × 11 × 19, so it is divisible by 2.
What are the factors of 40128?
1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 64, 66, 76, 88, 96, 114, 132, 152, 176, 192, 209, 228, 264, 304, 352, 418, 456, 528, 608, 627, 704, 836, 912, 1056, 1216, 1254, 1672, 1824, 2112, 2508, 3344, 3648, 5016, 6688, 10032, 13376, 20064, 40128.
What is 40128 in binary?
1001110011000000 (hexadecimal 9CC0, octal 116300).
What is the square root of 40128?
About 200.3197, exactly 8√627.
Is 40128 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40128?
It is a composite number with 56 divisors.