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14252130540 = 223251741472417
BaseRepresentation
bin11010100010111111…
…00100000011101100
31100210020220020122200
431101133210003230
5213142021134130
610314120341500
71013116052664
oct152137440354
940706806580
1014252130540
116053a5768a
122919014890
13146191924b
14992b891a4
15586338760
hex3517e40ec

14252130540 has 288 divisors, whose sum is σ = 47908433664. Its totient is φ = 3414097920.

The previous prime is 14252130517. The next prime is 14252130551. The reversal of 14252130540 is 4503125241.

14252130540 is a `hidden beast` number, since 1 + 42 + 52 + 1 + 30 + 540 = 666.

14252130540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5895412 + ... + 5897828.

It is an arithmetic number, because the mean of its divisors is an integer number (166348728).

Almost surely, 214252130540 is an apocalyptic number.

14252130540 is a gapful number since it is divisible by the number (10) 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 14252130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954216832).

14252130540 is an abundant number, since it is smaller than the sum of its proper divisors (33656303124).

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

14252130540 is a wasteful number, since it uses less digits than its factorization.

14252130540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14252130540 its reverse (4503125241), we get a palindrome (18755255781).

The spelling of 14252130540 in words is "fourteen billion, two hundred fifty-two million, one hundred thirty thousand, five hundred forty".