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130144344 = 233112989191
BaseRepresentation
bin1111100000111…
…01100001011000
3100001220000110220
413300131201120
5231304104334
620525240040
73140131401
oct760354130
9301800426
10130144344
1167510410
1237703020
1320c693b5
14133da9a8
15b65b449
hex7c1d858

130144344 has 128 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 37452800.

The previous prime is 130144337. The next prime is 130144369. The reversal of 130144344 is 443441031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681289 + ... + 681479.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2130144344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

130144344 is an abundant number, since it is smaller than the sum of its proper divisors (243103656).

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

130144344 is a wasteful number, since it uses less digits than its factorization.

130144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 130144344 is about 11408.0823980194. The cubic root of 130144344 is about 506.7671242021.

Adding to 130144344 its reverse (443441031), we get a palindrome (573585375).

The spelling of 130144344 in words is "one hundred thirty million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 89 116 132 174 178 191 232 264 267 319 348 356 382 534 573 638 696 712 764 957 979 1068 1146 1276 1528 1914 1958 2101 2136 2292 2552 2581 2937 3828 3916 4202 4584 5162 5539 5874 6303 7656 7743 7832 8404 10324 11078 11748 12606 15486 16617 16808 16999 20648 22156 23496 25212 28391 30972 33234 33998 44312 50424 50997 56782 60929 61944 66468 67996 85173 101994 113564 121858 132936 135992 170346 182787 186989 203988 227128 243716 340692 365574 373978 407976 487432 492971 560967 681384 731148 747956 985942 1121934 1462296 1478913 1495912 1971884 2243868 2957826 3943768 4487736 5422681 5915652 10845362 11831304 16268043 21690724 32536086 43381448 65072172 130144344