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130181258640 = 24353117497481
BaseRepresentation
bin111100100111101101…
…0000101110110010000
3110110000120000010201210
41321033122011312100
54113102400234030
6135445432100120
712256004304126
oct1711732056620
9413016003653
10130181258640
1150233a21464
1221291534640
13c3785c9574
14642d5ad916
1535bdc19bb0
hex1e4f685d90

130181258640 has 80 divisors (see below), whose sum is σ = 416580051456. Its totient is φ = 33595161600.

The previous prime is 130181258569. The next prime is 130181258677. The reversal of 130181258640 is 46852181031.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 8741301 + ... + 8756180.

Almost surely, 2130181258640 is an apocalyptic number.

130181258640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130181258640 is an abundant number, since it is smaller than the sum of its proper divisors (286398792816).

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

130181258640 is a wasteful number, since it uses less digits than its factorization.

130181258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497528 (or 17497522 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 130181258640 in words is "one hundred thirty billion, one hundred eighty-one million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 17497481 34994962 52492443 69989924 87487405 104984886 139979848 174974810 209969772 262462215 279959696 349949620 419939544 524924430 542421911 699899240 839879088 1049848860 1084843822 1399798480 1627265733 2099697720 2169687644 2712109555 3254531466 4199395440 4339375288 5424219110 6509062932 8136328665 8678750576 10848438220 13018125864 16272657330 21696876440 26036251728 32545314660 43393752880 65090629320 130181258640