Base | Representation |
---|---|
bin | 111101010000001011… |
… | …1011111011011000000 |
3 | 110120112012211112202101 |
4 | 1322200113133123000 |
5 | 4123343110001311 |
6 | 140232312400144 |
7 | 12334446366154 |
oct | 1724027373300 |
9 | 416465745671 |
10 | 131539531456 |
11 | 508706aa983 |
12 | 215b03a6054 |
13 | c533b282a8 |
14 | 651bb3d064 |
15 | 364d0baec1 |
hex | 1ea05df6c0 |
131539531456 has 112 divisors (see below), whose sum is σ = 273749414400. Its totient is φ = 62662925312.
The previous prime is 131539531451. The next prime is 131539531469. The reversal of 131539531456 is 654135935131.
It is not an unprimeable number, because it can be changed into a prime (131539531451) 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, 16606665 + ... + 16614583.
It is an arithmetic number, because the mean of its divisors is an integer number (2444191200).
Almost surely, 2131539531456 is an apocalyptic number.
131539531456 is a gapful number since it is divisible by the number (16) 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 131539531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136874707200).
131539531456 is an abundant number, since it is smaller than the sum of its proper divisors (142209882944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131539531456 is an equidigital number, since it uses as much as digits as its factorization.
131539531456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8126 (or 8116 counting only the distinct ones).
The product of its digits is 729000, while the sum is 46.
The spelling of 131539531456 in words is "one hundred thirty-one billion, five hundred thirty-nine million, five hundred thirty-one thousand, four hundred fifty-six".
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