| Base | Representation |
|---|---|
| bin | 111101011000000100… |
| … | …0100110100100000000 |
| 3 | 110121012122121012012000 |
| 4 | 1322300020212210000 |
| 5 | 4124413320022000 |
| 6 | 140314442304000 |
| 7 | 12344141026110 |
| oct | 1726010464400 |
| 9 | 417178535160 |
| 10 | 131804064000 |
| 11 | 50996a5a114 |
| 12 | 21664ab8000 |
| 13 | c57688861b |
| 14 | 6544d1d040 |
| 15 | 3666421000 |
| hex | 1eb0226900 |
131804064000 has 2304 divisors, whose sum is σ = 620381798400. Its totient is φ = 26873856000.
The previous prime is 131804063999. The next prime is 131804064001. The reversal of 131804064000 is 460408131.
131804064000 is a `hidden beast` number, since 1 + 3 + 18 + 0 + 4 + 0 + 640 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (131804063999) and next prime (131804064001).
It is a tau number, because it is divible by the number of its divisors (2304).
It is a super-2 number, since 2×1318040640002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (131804064001) 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 255 ways as a sum of consecutive naturals, for example, 3562271982 + ... + 3562272018.
Almost surely, 2131804064000 is an apocalyptic number.
131804064000 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 131804064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310190899200).
131804064000 is an abundant number, since it is smaller than the sum of its proper divisors (488577734400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131804064000 is a wasteful number, since it uses less digits than its factorization.
131804064000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The spelling of 131804064000 in words is "one hundred thirty-one billion, eight hundred four million, sixty-four thousand".
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