| Base | Representation |
|---|---|
| bin | 1011101100010100… |
| … | …0000101010000000 |
| 3 | 22002201221002020000 |
| 4 | 2323011000222000 |
| 5 | 22411443342200 |
| 6 | 1235240120000 |
| 7 | 140531052153 |
| oct | 27305005200 |
| 9 | 8081832200 |
| 10 | 3138652800 |
| 11 | 1370762338 |
| 12 | 737166000 |
| 13 | 3b033c60a |
| 14 | 21abb9c9a |
| 15 | 135831300 |
| hex | bb140a80 |
3138652800 has 240 divisors, whose sum is σ = 11583275550. Its totient is φ = 836904960.
The previous prime is 3138652789. The next prime is 3138652873. The reversal of 3138652800 is 82568313.
3138652800 is a `hidden beast` number, since 313 + 8 + 65 + 280 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 3049690176 + 88962624 = 55224^2 + 9432^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×31386528002 = 19702282797895680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 29 ways as a sum of consecutive naturals, for example, 253146 + ... + 265254.
Almost surely, 23138652800 is an apocalyptic number.
3138652800 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 3138652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791637775).
3138652800 is an abundant number, since it is smaller than the sum of its proper divisors (8444622750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3138652800 is a wasteful number, since it uses less digits than its factorization.
3138652800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12145 (or 12119 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 3138652800 is about 56023.6807073580. The cubic root of 3138652800 is about 1464.1348975402.
The spelling of 3138652800 in words is "three billion, one hundred thirty-eight million, six hundred fifty-two thousand, eight hundred".
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