| Base | Representation |
|---|---|
| bin | 111101001010001100… |
| … | …1011000011101100000 |
| 3 | 110120000012221021200000 |
| 4 | 1322110121120131200 |
| 5 | 4122440201410030 |
| 6 | 140200340100000 |
| 7 | 12326460351450 |
| oct | 1722431303540 |
| 9 | 416005837600 |
| 10 | 131338700640 |
| 11 | 507782aa7a4 |
| 12 | 21555094600 |
| 13 | c50133caa4 |
| 14 | 64dd1c1d60 |
| 15 | 363a64a860 |
| hex | 1e94658760 |
131338700640 has 576 divisors, whose sum is σ = 562458484224. Its totient is φ = 28253380608.
The previous prime is 131338700621. The next prime is 131338700651. The reversal of 131338700640 is 46007833131.
131338700640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 8 + 7 + 0 + 0 + 640 = 666.
131338700640 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 131338700595 and 131338700604.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 4612527 + ... + 4640913.
It is an arithmetic number, because the mean of its divisors is an integer number (976490424).
Almost surely, 2131338700640 is an apocalyptic number.
131338700640 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 131338700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281229242112).
131338700640 is an abundant number, since it is smaller than the sum of its proper divisors (431119783584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131338700640 is a wasteful number, since it uses less digits than its factorization.
131338700640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28441 (or 28421 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The spelling of 131338700640 in words is "one hundred thirty-one billion, three hundred thirty-eight million, seven hundred thousand, six hundred forty".
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