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130553245040 = 2451948383761
BaseRepresentation
bin111100110010110010…
…1000110110101110000
3110110222110222000010212
41321211211012311300
54114333112320130
6135550401043252
712301142162441
oct1714545066560
9413873860125
10130553245040
11504049a3339
1221376026528
13c4076b006a
146466b612c8
1535e16e7e95
hex1e65946d70

130553245040 has 40 divisors (see below), whose sum is σ = 303555498288. Its totient is φ = 52217994240.

The previous prime is 130553245019. The next prime is 130553245051. The reversal of 130553245040 is 40542355031.

It is a happy number.

130553245040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 130553244988 and 130553245006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516760 + ... + 1600520.

Almost surely, 2130553245040 is an apocalyptic number.

130553245040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130553245040 is an abundant number, since it is smaller than the sum of its proper divisors (173002253248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130553245040 is a wasteful number, since it uses less digits than its factorization.

130553245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103257 (or 103251 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 130553245040 in words is "one hundred thirty billion, five hundred fifty-three million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 19483 38966 77932 83761 97415 155864 167522 194830 311728 335044 389660 418805 670088 779320 837610 1340176 1558640 1675220 3350440 6700880 1631915563 3263831126 6527662252 8159577815 13055324504 16319155630 26110649008 32638311260 65276622520 130553245040