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130018944 = 2731130781
BaseRepresentation
bin1111011111111…
…10111010000000
3100001122122110110
413233332322000
5231241101234
620522431320
73136066656
oct757767200
9301578413
10130018944
1167435180
1237662540
1320c242b3
14133a6dd6
15b6341e9
hex7bfee80

130018944 has 64 divisors (see below), whose sum is σ = 376771680. Its totient is φ = 39398400.

The previous prime is 130018939. The next prime is 130018951. The reversal of 130018944 is 449810031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11167 + ... + 19614.

Almost surely, 2130018944 is an apocalyptic number.

It is an amenable number.

130018944 is an abundant number, since it is smaller than the sum of its proper divisors (246752736).

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

130018944 is a wasteful number, since it uses less digits than its factorization.

130018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 130018944 is about 11402.5849700846. The cubic root of 130018944 is about 506.6043074992.

Adding to 130018944 its reverse (449810031), we get a palindrome (579828975).

It can be divided in two parts, 13001 and 8944, that added together give a triangular number (21945 = T209).

The spelling of 130018944 in words is "one hundred thirty million, eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 30781 61562 92343 123124 184686 246248 338591 369372 492496 677182 738744 984992 1015773 1354364 1477488 1969984 2031546 2708728 2954976 3939968 4063092 5417456 5909952 8126184 10834912 11819904 16252368 21669824 32504736 43339648 65009472 130018944