Base | Representation |
---|---|
bin | 111101000111001011… |
… | …1010100000010110000 |
3 | 110112202011111111120111 |
4 | 1322032113110002300 |
5 | 4122233244314320 |
6 | 140142322551104 |
7 | 12324121205245 |
oct | 1721627240260 |
9 | 415664444514 |
10 | 131237494960 |
11 | 50726165440 |
12 | 21527208494 |
13 | c4b6396580 |
14 | 64cd9995cc |
15 | 3631808a5a |
hex | 1e8e5d40b0 |
131237494960 has 160 divisors (see below), whose sum is σ = 361054391040. Its totient is φ = 43734297600.
The previous prime is 131237494957. The next prime is 131237494987. The reversal of 131237494960 is 69494732131.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 1548895 + ... + 1631425.
It is an arithmetic number, because the mean of its divisors is an integer number (2256589944).
Almost surely, 2131237494960 is an apocalyptic number.
131237494960 is a gapful number since it is divisible by the number (10) 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 131237494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180527195520).
131237494960 is an abundant number, since it is smaller than the sum of its proper divisors (229816896080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131237494960 is a wasteful number, since it uses less digits than its factorization.
131237494960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82707 (or 82701 counting only the distinct ones).
The product of its (nonzero) digits is 979776, while the sum is 49.
The spelling of 131237494960 in words is "one hundred thirty-one billion, two hundred thirty-seven million, four hundred ninety-four thousand, nine hundred sixty".
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