| Base | Representation |
|---|---|
| bin | 100011100011001001001000… |
| … | …0010111101001100000000000 |
| 3 | 1112000011011212012220010200200 |
| 4 | 1013012102100113221200000 |
| 5 | 311441131204102331014 |
| 6 | 3025013141021045200 |
| 7 | 122602224343105254 |
| oct | 10706222027514000 |
| 9 | 1460134765803620 |
| 10 | 312693221136384 |
| 11 | 906a74a54883a0 |
| 12 | 2b0a205b0b6800 |
| 13 | 10562ac8a0341a |
| 14 | 573060b2c4264 |
| 15 | 2623d0564ea09 |
| hex | 11c64905e9800 |
312693221136384 has 288 divisors, whose sum is σ = 985359737391120. Its totient is φ = 94741777612800.
The previous prime is 312693221136371. The next prime is 312693221136397. The reversal of 312693221136384 is 483631122396213.
312693221136384 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 9 + 3 + 221 + 1 + 36 + 384 = 666.
It is an interprime number because it is at equal distance from previous prime (312693221136371) and next prime (312693221136397).
It is a tau number, because it is divible by the number of its divisors (288).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 312693221136384.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443688704 + ... + 1443905280.
Almost surely, 2312693221136384 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 312693221136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492679868695560).
312693221136384 is an abundant number, since it is smaller than the sum of its proper divisors (672666516254736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312693221136384 is a wasteful number, since it uses less digits than its factorization.
312693221136384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223737 (or 223714 counting only the distinct ones).
The product of its digits is 6718464, while the sum is 54.
The spelling of 312693221136384 in words is "three hundred twelve trillion, six hundred ninety-three billion, two hundred twenty-one million, one hundred thirty-six thousand, three hundred eighty-four".
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