Base | Representation |
---|---|
bin | 11101001100000101… |
… | …111111111100100000 |
3 | 2222220020101200212210 |
4 | 131030011333330200 |
5 | 1003141400142003 |
6 | 22221551122120 |
7 | 2156445415245 |
oct | 351405777440 |
9 | 88806350783 |
10 | 31341412128 |
11 | 123234568a4 |
12 | 60a8213340 |
13 | 2c5626c5a0 |
14 | 17346695cc |
15 | c36799503 |
hex | 74c17ff20 |
31341412128 has 96 divisors (see below), whose sum is σ = 88636851072. Its totient is φ = 9639475200.
The previous prime is 31341412099. The next prime is 31341412129. The reversal of 31341412128 is 82121414313.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×313414121282 (a number of 22 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 31341412095 and 31341412104.
It is not an unprimeable number, because it can be changed into a prime (31341412129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577988 + ... + 4584828.
It is an arithmetic number, because the mean of its divisors is an integer number (923300532).
Almost surely, 231341412128 is an apocalyptic number.
It is an amenable number.
31341412128 is an abundant number, since it is smaller than the sum of its proper divisors (57295438944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31341412128 is a wasteful number, since it uses less digits than its factorization.
31341412128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10538 (or 10530 counting only the distinct ones).
The product of its digits is 4608, while the sum is 30.
The spelling of 31341412128 in words is "thirty-one billion, three hundred forty-one million, four hundred twelve thousand, one hundred twenty-eight".
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