| Base | Representation |
|---|---|
| bin | 11110000000110010000100… |
| … | …101000001011000000000000 |
| 3 | 122022100121120122122220201000 |
| 4 | 132000302010220023000000 |
| 5 | 114300102041434022000 |
| 6 | 1144421423414212000 |
| 7 | 36542223054346122 |
| oct | 3600620450130000 |
| 9 | 568317518586630 |
| 10 | 131995160064000 |
| 11 | 3906a918827502 |
| 12 | 12979668054000 |
| 13 | 58861231a15ac |
| 14 | 2484857d35212 |
| 15 | 103d76c6db000 |
| hex | 780c84a0b000 |
131995160064000 has 832 divisors, whose sum is σ = 488436192092160. Its totient is φ = 35169361920000.
The previous prime is 131995160063993. The next prime is 131995160064007. The reversal of 131995160064000 is 460061599131.
131995160064000 is a `hidden beast` number, since 1 + 3 + 1 + 99 + 516 + 0 + 0 + 6 + 40 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (131995160063993) and next prime (131995160064007).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (131995160064007) 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 63 ways as a sum of consecutive naturals, for example, 20335100755 + ... + 20335107245.
It is an arithmetic number, because the mean of its divisors is an integer number (587062730880).
Almost surely, 2131995160064000 is an apocalyptic number.
131995160064000 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 131995160064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244218096046080).
131995160064000 is an abundant number, since it is smaller than the sum of its proper divisors (356441032028160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131995160064000 is an equidigital number, since it uses as much as digits as its factorization.
131995160064000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8010 (or 7972 counting only the distinct ones).
The product of its (nonzero) digits is 174960, while the sum is 45.
The spelling of 131995160064000 in words is "one hundred thirty-one trillion, nine hundred ninety-five billion, one hundred sixty million, sixty-four thousand".
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