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10140324144 = 24312710391601
BaseRepresentation
bin10010111000110100…
…10001000100110000
3222011200210211122220
421130122101010300
5131231410333034
64354114201040
7506200222146
oct113432210460
928150724586
1010140324144
114333a48685
121b6bb83180
13c57aac202
146c2a4d596
153e537a749
hex25c691130

10140324144 has 80 divisors (see below), whose sum is σ = 26444021760. Its totient is φ = 3348172800.

The previous prime is 10140324143. The next prime is 10140324151. The reversal of 10140324144 is 44142304101.

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

It is not an unprimeable number, because it can be changed into a prime (10140324143) by changing a digit.

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, 6332944 + ... + 6334544.

It is an arithmetic number, because the mean of its divisors is an integer number (330550272).

Almost surely, 210140324144 is an apocalyptic number.

It is an amenable number.

10140324144 is an abundant number, since it is smaller than the sum of its proper divisors (16303697616).

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

10140324144 is a wasteful number, since it uses less digits than its factorization.

10140324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10140324144 its reverse (44142304101), we get a palindrome (54282628245).

The spelling of 10140324144 in words is "ten billion, one hundred forty million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1039 1524 1601 2032 2078 3048 3117 3202 4156 4803 6096 6234 6404 8312 9606 12468 12808 16624 19212 24936 25616 38424 49872 76848 131953 203327 263906 395859 406654 527812 609981 791718 813308 1055624 1219962 1583436 1626616 1663439 2111248 2439924 3166872 3253232 3326878 4879848 4990317 6333744 6653756 9759696 9980634 13307512 19961268 26615024 39922536 79845072 211256753 422513506 633770259 845027012 1267540518 1690054024 2535081036 3380108048 5070162072 10140324144