Base | Representation |
---|---|
bin | 111100111000011100… |
… | …0111011000100000000 |
3 | 110111110201000000000000 |
4 | 1321300320323010000 |
5 | 4120230201122211 |
6 | 140021300000000 |
7 | 12305635033131 |
oct | 1716070730400 |
9 | 414421000000 |
10 | 130742989056 |
11 | 504a2010879 |
12 | 21409690000 |
13 | c437ab6124 |
14 | 6484033c88 |
15 | 36031c8656 |
hex | 1e70e3b100 |
130742989056 has 351 divisors, whose sum is σ = 404497826103. Its totient is φ = 42175157760.
The previous prime is 130742989043. The next prime is 130742989067. The reversal of 130742989056 is 650989247031.
The square root of 130742989056 is 361584.
It is a perfect power (a square), and thus also a powerful number.
130742989056 is a `hidden beast` number, since 130 + 7 + 429 + 89 + 0 + 5 + 6 = 666.
It is a super-2 number, since 2×1307429890562 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 130742988993 and 130742989011.
It is an unprimeable number.
It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 4217515761 + ... + 4217515791.
It is a 1-persistent number, because it is pandigital, but 2⋅130742989056 = 261485978112 is not.
Almost surely, 2130742989056 is an apocalyptic number.
130742989056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
130742989056 is the 361584-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130742989056
130742989056 is an abundant number, since it is smaller than the sum of its proper divisors (273754837047).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130742989056 is an frugal number, since it uses more digits than its factorization.
130742989056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 130742989056 in words is "one hundred thirty billion, seven hundred forty-two million, nine hundred eighty-nine thousand, fifty-six".
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