Base | Representation |
---|---|
bin | 111101000000000001… |
… | …1110001001111000000 |
3 | 110112010102220000112000 |
4 | 1322000003301033000 |
5 | 4121240324144444 |
6 | 140102430504000 |
7 | 12315145204200 |
oct | 1720003611700 |
9 | 415112800460 |
10 | 130997490624 |
11 | 50612739650 |
12 | 2147a965000 |
13 | c478743780 |
14 | 64a9b62400 |
15 | 361a6eb469 |
hex | 1e800f13c0 |
130997490624 has 1344 divisors, whose sum is σ = 544836096000. Its totient is φ = 30307737600.
The previous prime is 130997490619. The next prime is 130997490647. The reversal of 130997490624 is 426094799031.
130997490624 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 7 + 4 + 9 + 0 + 624 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375350802 + ... + 375351150.
It is an arithmetic number, because the mean of its divisors is an integer number (405384000).
Almost surely, 2130997490624 is an apocalyptic number.
130997490624 is a gapful number since it is divisible by the number (14) 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 130997490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272418048000).
130997490624 is an abundant number, since it is smaller than the sum of its proper divisors (413838605376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130997490624 is a wasteful number, since it uses less digits than its factorization.
130997490624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 439 (or 416 counting only the distinct ones).
The product of its (nonzero) digits is 2939328, while the sum is 54.
The spelling of 130997490624 in words is "one hundred thirty billion, nine hundred ninety-seven million, four hundred ninety thousand, six hundred twenty-four".
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