Search a number
-
+
14252731272 = 23331324189107
BaseRepresentation
bin11010100011000011…
…10110101110001000
31100210022000202201000
431101201312232020
5213142144400042
610314141255000
71013124134253
oct152141665610
940708022630
1014252731272
116054327a5a
122919264460
131461a99800
14992ca409a
1558640674c
hex351876b88

14252731272 has 384 divisors, whose sum is σ = 44824752000. Its totient is φ = 4190883840.

The previous prime is 14252731249. The next prime is 14252731277. The reversal of 14252731272 is 27213725241.

14252731272 is a `hidden beast` number, since 1 + 4 + 2 + 527 + 3 + 127 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14252731277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133203043 + ... + 133203149.

It is an arithmetic number, because the mean of its divisors is an integer number (116731125).

Almost surely, 214252731272 is an apocalyptic number.

14252731272 is a gapful number since it is divisible by the number (12) 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 14252731272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22412376000).

14252731272 is an abundant number, since it is smaller than the sum of its proper divisors (30572020728).

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

14252731272 is a wasteful number, since it uses less digits than its factorization.

14252731272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The spelling of 14252731272 in words is "fourteen billion, two hundred fifty-two million, seven hundred thirty-one thousand, two hundred seventy-two".