Search a number
-
+
130788153310428 = 22341174334375129
BaseRepresentation
bin11101101111001101111101…
…011010110011110011011100
3122011002020002021111211210000
4131233031331122303303130
5114120313114221413203
61142055125334414300
736356063235255105
oct3557157532636334
9564066067454700
10130788153310428
1138744a429a3789
1212803753b01390
1357c9368087973
1424422750133ac
15101c1778004a3
hex76f37d6b3cdc

130788153310428 has 60 divisors (see below), whose sum is σ = 341935193131840. Its totient is φ = 43592337321408.

The previous prime is 130788153310313. The next prime is 130788153310433. The reversal of 130788153310428 is 824013351887031.

130788153310428 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 8 + 81 + 533 + 1 + 0 + 4 + 28 = 666.

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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13382833 + ... + 20992296.

Almost surely, 2130788153310428 is an apocalyptic number.

130788153310428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130788153310428 is an abundant number, since it is smaller than the sum of its proper divisors (211147039821412).

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

130788153310428 is a wasteful number, since it uses less digits than its factorization.

130788153310428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34386888 (or 34386877 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 130788153310428 in words is "one hundred thirty trillion, seven hundred eighty-eight billion, one hundred fifty-three million, three hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11743 23486 35229 46972 70458 105687 140916 211374 317061 422748 634122 951183 1268244 1902366 3804732 34375129 68750258 103125387 137500516 206250774 309376161 412501548 618752322 928128483 1237504644 1856256966 2784385449 3712513932 5568770898 11137541796 403667139847 807334279694 1211001419541 1614668559388 2422002839082 3633004258623 4844005678164 7266008517246 10899012775869 14532017034492 21798025551738 32697038327607 43596051103476 65394076655214 130788153310428