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130140444 = 22377121821
BaseRepresentation
bin1111100000111…
…00100100011100
3100001212211010110
413300130210130
5231303443234
620525210020
73140114130
oct760344434
9301784113
10130140444
1167508495
1237700910
1320c676a5
14133d93c0
15b65a1e9
hex7c1c91c

130140444 has 48 divisors (see below), whose sum is σ = 351945216. Its totient is φ = 36657600.

The previous prime is 130140421. The next prime is 130140469. The reversal of 130140444 is 444041031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130140444.

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 15 ways as a sum of consecutive naturals, for example, 4947 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (7332192).

Almost surely, 2130140444 is an apocalyptic number.

130140444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130140444 is an abundant number, since it is smaller than the sum of its proper divisors (221804772).

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

130140444 is a wasteful number, since it uses less digits than its factorization.

130140444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21906 (or 21904 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 130140444 is about 11407.9114652946. The cubic root of 130140444 is about 506.7620621009.

Adding to 130140444 its reverse (444041031), we get a palindrome (574181475).

The spelling of 130140444 in words is "one hundred thirty million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 21821 43642 65463 87284 130926 152747 261852 305494 458241 610988 916482 1549291 1832964 3098582 4647873 6197164 9295746 10845037 18591492 21690074 32535111 43380148 65070222 130140444