Base | Representation |
---|---|
bin | 100001101011000101101… |
… | …100101110000010010000 |
3 | 22012012212021121222202200 |
4 | 201223011230232002100 |
5 | 300403042331132241 |
6 | 4531012520443200 |
7 | 326116210001010 |
oct | 41530554560220 |
9 | 8165767558680 |
10 | 2314009239696 |
11 | 812402987230 |
12 | 314579019500 |
13 | 13a29688860b |
14 | 7ddda3d1c40 |
15 | 402d54e74b6 |
hex | 21ac5b2e090 |
2314009239696 has 720 divisors, whose sum is σ = 8571638999040. Its totient is φ = 564573680640.
The previous prime is 2314009239679. The next prime is 2314009239697. The reversal of 2314009239696 is 6969329004132.
2314009239696 is a `hidden beast` number, since 2 + 31 + 400 + 92 + 39 + 6 + 96 = 666.
It is a super-2 number, since 2×23140092396962 (a number of 26 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2314009239697) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 6305202105 + ... + 6305202471.
Almost surely, 22314009239696 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 2314009239696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285819499520).
2314009239696 is an abundant number, since it is smaller than the sum of its proper divisors (6257629759344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2314009239696 is a wasteful number, since it uses less digits than its factorization.
2314009239696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 764 (or 582 counting only the distinct ones).
The product of its (nonzero) digits is 3779136, while the sum is 54.
The spelling of 2314009239696 in words is "two trillion, three hundred fourteen billion, nine million, two hundred thirty-nine thousand, six hundred ninety-six".
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