| Base | Representation |
|---|---|
| bin | 1011010010101011… |
| … | …1001000000000000 |
| 3 | 21211020121222200100 |
| 4 | 2310222321000000 |
| 5 | 22201433024100 |
| 6 | 1220435522400 |
| 7 | 135054166566 |
| oct | 26452710000 |
| 9 | 7736558610 |
| 10 | 3031142400 |
| 11 | 1316001170 |
| 12 | 707159400 |
| 13 | 393c994b0 |
| 14 | 20a7d1a36 |
| 15 | 12b196400 |
| hex | b4ab9000 |
3031142400 has 936 divisors, whose sum is σ = 13309523136. Its totient is φ = 648806400.
The previous prime is 3031142363. The next prime is 3031142407. The reversal of 3031142400 is 42411303.
It is a tau number, because it is divible by the number of its divisors (936).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3031142407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131788789 + ... + 131788811.
It is an arithmetic number, because the mean of its divisors is an integer number (14219576).
Almost surely, 23031142400 is an apocalyptic number.
3031142400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3031142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6654761568).
3031142400 is an abundant number, since it is smaller than the sum of its proper divisors (10278380736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3031142400 is a wasteful number, since it uses less digits than its factorization.
3031142400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 3031142400 is about 55055.8116823283. The cubic root of 3031142400 is about 1447.2229686305. Note that the first 3 decimals are identical.
Adding to 3031142400 its reverse (42411303), we get a palindrome (3073553703).
The spelling of 3031142400 in words is "three billion, thirty-one million, one hundred forty-two thousand, four hundred".
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