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130351144 = 23711613469
BaseRepresentation
bin1111100010100…
…00000000101000
3100002021112011011
413301100000220
5231332214034
620533513304
73141652330
oct761200050
9302245134
10130351144
1167641820
12377a2834
132100c571
14134520c0
15b69c864
hex7c50028

130351144 has 64 divisors (see below), whose sum is σ = 309801600. Its totient is φ = 49939200.

The previous prime is 130351079. The next prime is 130351159. The reversal of 130351144 is 441153031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35842 + ... + 39310.

It is an arithmetic number, because the mean of its divisors is an integer number (4840650).

Almost surely, 2130351144 is an apocalyptic number.

130351144 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 130351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154900800).

130351144 is an abundant number, since it is smaller than the sum of its proper divisors (179450456).

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

130351144 is a wasteful number, since it uses less digits than its factorization.

130351144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 130351144 is about 11417.1425496925. The cubic root of 130351144 is about 507.0354006355.

The spelling of 130351144 in words is "one hundred thirty million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 61 77 88 122 154 244 308 427 488 616 671 854 1342 1708 2684 3416 3469 4697 5368 6938 9394 13876 18788 24283 27752 37576 38159 48566 76318 97132 152636 194264 211609 267113 305272 423218 534226 846436 1068452 1481263 1692872 2136904 2327699 2962526 4655398 5925052 9310796 11850104 16293893 18621592 32587786 65175572 130351144