Base | Representation |
---|---|
bin | 11101111001100011000110… |
… | …101011000011000000010000 |
3 | 122020121002110022222002010000 |
4 | 131321203012223003000100 |
5 | 114213431002242020400 |
6 | 1143401212053210000 |
7 | 36461264211626400 |
oct | 3571430653030020 |
9 | 566532408862100 |
10 | 131498051907600 |
11 | 389990131779a4 |
12 | 128b9253630900 |
13 | 584b2a01c9ba1 |
14 | 246877ac02800 |
15 | 10308758d5600 |
hex | 7798c6ac3010 |
131498051907600 has 2025 divisors, whose sum is σ = 580613633026317. Its totient is φ = 28415319851520.
The previous prime is 131498051907589. The next prime is 131498051907647. The reversal of 131498051907600 is 6709150894131.
The square root of 131498051907600 is 11467260.
It is a perfect power (a square), and thus also a powerful number.
131498051907600 is a `hidden beast` number, since 1 + 3 + 1 + 49 + 80 + 519 + 0 + 7 + 6 + 0 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 47339298686736 + 84158753220864 = 6880356^2 + 9173808^2 .
It is a tau number, because it is divible by the number of its divisors (2025).
It is a super-3 number, since 3×1314980519076003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 274526204161 + ... + 274526204639.
Almost surely, 2131498051907600 is an apocalyptic number.
131498051907600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
131498051907600 is the 11467260-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131498051907600
131498051907600 is an abundant number, since it is smaller than the sum of its proper divisors (449115581118717).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131498051907600 is an equidigital number, since it uses as much as digits as its factorization.
131498051907600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1040 (or 515 counting only the distinct ones).
The product of its (nonzero) digits is 1632960, while the sum is 54.
The spelling of 131498051907600 in words is "one hundred thirty-one trillion, four hundred ninety-eight billion, fifty-one million, nine hundred seven thousand, six hundred".
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