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13431124272 = 243641436529
BaseRepresentation
bin11001000001000111…
…01011000100110000
31021200001000210210010
430200203223010300
5210001331434042
610100431334520
7653556446466
oct144043530460
937601023703
1013431124272
115772579505
12272a081440
1313607bcc17
14915b12836
1553921259c
hex3208eb130

13431124272 has 40 divisors (see below), whose sum is σ = 34751280240. Its totient is φ = 4470046720.

The previous prime is 13431124271. The next prime is 13431124307. The reversal of 13431124272 is 27242113431.

It is not an unprimeable number, because it can be changed into a prime (13431124271) 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 7 ways as a sum of consecutive naturals, for example, 187497 + ... + 249032.

It is an arithmetic number, because the mean of its divisors is an integer number (868782006).

Almost surely, 213431124272 is an apocalyptic number.

13431124272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13431124272 is an abundant number, since it is smaller than the sum of its proper divisors (21320155968).

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

13431124272 is a wasteful number, since it uses less digits than its factorization.

13431124272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437181 (or 437175 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The spelling of 13431124272 in words is "thirteen billion, four hundred thirty-one million, one hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 641 1282 1923 2564 3846 5128 7692 10256 15384 30768 436529 873058 1309587 1746116 2619174 3492232 5238348 6984464 10476696 20953392 279815089 559630178 839445267 1119260356 1678890534 2238520712 3357781068 4477041424 6715562136 13431124272