| Base | Representation |
|---|---|
| bin | 111101011001000101… |
| … | …1000110000000000000 |
| 3 | 110121022000222010001000 |
| 4 | 1322302023012000000 |
| 5 | 4130001044141423 |
| 6 | 140322103412000 |
| 7 | 12345034550310 |
| oct | 1726213060000 |
| 9 | 417260863030 |
| 10 | 131838271488 |
| 11 | 50a042a3770 |
| 12 | 21674454000 |
| 13 | c5809a4741 |
| 14 | 65496a5440 |
| 15 | 366942b843 |
| hex | 1eb22c6000 |
131838271488 has 448 divisors, whose sum is σ = 487054794240. Its totient is φ = 34239283200.
The previous prime is 131838271483. The next prime is 131838271501. The reversal of 131838271488 is 884172838131.
131838271488 is a `hidden beast` number, since 1 + 3 + 1 + 83 + 82 + 7 + 1 + 488 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131838271483) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17027298 + ... + 17035038.
It is an arithmetic number, because the mean of its divisors is an integer number (1087175880).
Almost surely, 2131838271488 is an apocalyptic number.
131838271488 is a gapful number since it is divisible by the number (18) 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 131838271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243527397120).
131838271488 is an abundant number, since it is smaller than the sum of its proper divisors (355216522752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131838271488 is an equidigital number, since it uses as much as digits as its factorization.
131838271488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7794 (or 7764 counting only the distinct ones).
The product of its digits is 2064384, while the sum is 54.
The spelling of 131838271488 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, two hundred seventy-one thousand, four hundred eighty-eight".
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