| Base | Representation |
|---|---|
| bin | 1001001000011110110… |
| … | …00001111001110000000 |
| 3 | 1002222221121102100022200 |
| 4 | 10210033120033032000 |
| 5 | 20120120344442030 |
| 6 | 400053050033200 |
| 7 | 31446011205153 |
| oct | 4441730171600 |
| 9 | 1088847370280 |
| 10 | 313790624640 |
| 11 | 111094699749 |
| 12 | 50993a18800 |
| 13 | 23789c5002c |
| 14 | 1128a8b5c9a |
| 15 | 8268234d60 |
| hex | 490f60f380 |
313790624640 has 192 divisors, whose sum is σ = 1092092751360. Its totient is φ = 83018428416.
The previous prime is 313790624639. The next prime is 313790624647. The reversal of 313790624640 is 46426097313.
313790624640 is a `hidden beast` number, since 3 + 13 + 7 + 9 + 0 + 624 + 6 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-4 number, since 4×3137906246404 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313790624647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517042 + ... + 945998.
It is an arithmetic number, because the mean of its divisors is an integer number (5687983080).
Almost surely, 2313790624640 is an apocalyptic number.
313790624640 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 313790624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546046375680).
313790624640 is an abundant number, since it is smaller than the sum of its proper divisors (778302126720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313790624640 is a wasteful number, since it uses less digits than its factorization.
313790624640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 429109 (or 429094 counting only the distinct ones).
The product of its (nonzero) digits is 653184, while the sum is 45.
The spelling of 313790624640 in words is "three hundred thirteen billion, seven hundred ninety million, six hundred twenty-four thousand, six hundred forty".
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