| Base | Representation |
|---|---|
| bin | 100011110011110010100110… |
| … | …0000011010111000100000000 |
| 3 | 1112022020220202211220100000000 |
| 4 | 1013213211030003113010000 |
| 5 | 312241123141342123224 |
| 6 | 3033524224100000000 |
| 7 | 123226435030105410 |
| oct | 10747451403270400 |
| 9 | 1468226684810000 |
| 10 | 314981292536064 |
| 11 | 913a98a8100500 |
| 12 | 2b3b1599690000 |
| 13 | 1069a7ba9704bb |
| 14 | 57ad266962640 |
| 15 | 26635bd9710c9 |
| hex | 11e794c0d7100 |
314981292536064 has 3888 divisors, whose sum is σ = 1280717477079040. Its totient is φ = 75425507942400.
The previous prime is 314981292536051. The next prime is 314981292536077. The reversal of 314981292536064 is 460635292189413.
It is a happy number.
314981292536064 is a `hidden beast` number, since 3 + 1 + 4 + 9 + 8 + 1 + 2 + 92 + 536 + 0 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (314981292536051) and next prime (314981292536077).
It is a tau number, because it is divible by the number of its divisors (3888).
It is a super-2 number, since 2×3149812925360642 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 314981292535992 and 314981292536010.
It is an unprimeable number.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1162292592249 + ... + 1162292592519.
Almost surely, 2314981292536064 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 314981292536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640358738539520).
314981292536064 is an abundant number, since it is smaller than the sum of its proper divisors (965736184542976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314981292536064 is an equidigital number, since it uses as much as digits as its factorization.
314981292536064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 356 counting only the distinct ones).
The product of its (nonzero) digits is 67184640, while the sum is 63.
The spelling of 314981292536064 in words is "three hundred fourteen trillion, nine hundred eighty-one billion, two hundred ninety-two million, five hundred thirty-six thousand, sixty-four".
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