| Base | Representation |
|---|---|
| bin | 111101001110100010… |
| … | …0001100110101100000 |
| 3 | 110120101100121112000000 |
| 4 | 1322131010030311200 |
| 5 | 4123234420033234 |
| 6 | 140223013300000 |
| 7 | 12333204526500 |
| oct | 1723504146540 |
| 9 | 416340545000 |
| 10 | 131484142944 |
| 11 | 50842409750 |
| 12 | 21595934600 |
| 13 | c52550431b |
| 14 | 6514641a00 |
| 15 | 36482c9899 |
| hex | 1e9d10cd60 |
131484142944 has 504 divisors, whose sum is σ = 492567156648. Its totient is φ = 34148459520.
The previous prime is 131484142943. The next prime is 131484142961. The reversal of 131484142944 is 449241484131.
131484142944 is a `hidden beast` number, since 1 + 3 + 148 + 41 + 429 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 131484142944.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131484142943) 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 83 ways as a sum of consecutive naturals, for example, 12568564 + ... + 12579020.
It is an arithmetic number, because the mean of its divisors is an integer number (977315787).
Almost surely, 2131484142944 is an apocalyptic number.
131484142944 is a gapful number since it is divisible by the number (14) 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 131484142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246283578324).
131484142944 is an abundant number, since it is smaller than the sum of its proper divisors (361083013704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131484142944 is a wasteful number, since it uses less digits than its factorization.
131484142944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10510 (or 10480 counting only the distinct ones).
The product of its digits is 442368, while the sum is 45.
The spelling of 131484142944 in words is "one hundred thirty-one billion, four hundred eighty-four million, one hundred forty-two thousand, nine hundred forty-four".
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