| Base | Representation |
|---|---|
| bin | 11101111100110101111111… |
| … | …011101000100101001000000 |
| 3 | 122021101201221012210201010200 |
| 4 | 131330311333131010221000 |
| 5 | 114231133224011004030 |
| 6 | 1144053221230325200 |
| 7 | 36513531444511206 |
| oct | 3574657735045100 |
| 9 | 567351835721120 |
| 10 | 131724490328640 |
| 11 | 38a76051816140 |
| 12 | 12935109359800 |
| 13 | 5866748a63c81 |
| 14 | 24756dc301076 |
| 15 | 10366c9e60d60 |
| hex | 77cd7f744a40 |
131724490328640 has 1344 divisors, whose sum is σ = 519650359248384. Its totient is φ = 30344232960000.
The previous prime is 131724490328609. The next prime is 131724490328647. The reversal of 131724490328640 is 46823094427131.
131724490328640 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 2 + 4 + 490 + 32 + 86 + 40 = 666.
131724490328640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (131724490328647) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8160854970 + ... + 8160871110.
It is an arithmetic number, because the mean of its divisors is an integer number (386644612536).
Almost surely, 2131724490328640 is an apocalyptic number.
131724490328640 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 131724490328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259825179624192).
131724490328640 is an abundant number, since it is smaller than the sum of its proper divisors (387925868919744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131724490328640 is a wasteful number, since it uses less digits than its factorization.
131724490328640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16380 (or 16367 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 131724490328640 in words is "one hundred thirty-one trillion, seven hundred twenty-four billion, four hundred ninety million, three hundred twenty-eight thousand, six hundred forty".
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