| Base | Representation |
|---|---|
| bin | 1001001011000000001… |
| … | …00110110111110100000 |
| 3 | 1010010102221222021221100 |
| 4 | 10211200010312332200 |
| 5 | 20130403442432404 |
| 6 | 400435252154400 |
| 7 | 31524401021061 |
| oct | 4454004667640 |
| 9 | 1103387867840 |
| 10 | 315144499104 |
| 11 | 111719943666 |
| 12 | 510b1308a00 |
| 13 | 2394459ba96 |
| 14 | 1137861c568 |
| 15 | 82e7017d39 |
| hex | 4960136fa0 |
315144499104 has 288 divisors, whose sum is σ = 995606277120. Its totient is φ = 94108262400.
The previous prime is 315144499079. The next prime is 315144499129. The reversal of 315144499104 is 401994441513.
It is a happy number.
315144499104 is a `hidden beast` number, since 3 + 1 + 5 + 144 + 499 + 10 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (315144499079) and next prime (315144499129).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×3151444991042 (a number of 24 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 315144499104.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9241317 + ... + 9275355.
It is an arithmetic number, because the mean of its divisors is an integer number (3456966240).
Almost surely, 2315144499104 is an apocalyptic number.
315144499104 is a gapful number since it is divisible by the number (34) 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 315144499104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497803138560).
315144499104 is an abundant number, since it is smaller than the sum of its proper divisors (680461778016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315144499104 is a wasteful number, since it uses less digits than its factorization.
315144499104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34164 (or 34153 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The spelling of 315144499104 in words is "three hundred fifteen billion, one hundred forty-four million, four hundred ninety-nine thousand, one hundred four".
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