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14157527749024 = 2511732513137013
BaseRepresentation
bin1100111000000100111001…
…1010011001000110100000
31212010110001110011201222111
43032001032122121012200
53323424104100432044
650035513425245104
72660563510210012
oct316011632310640
955113043151874
1014157527749024
1145691a0368020
1217079a7493794
137b9083c5896a
1436d3298b61b2
1519840a7e1b34
hexce04e6991a0

14157527749024 has 192 divisors, whose sum is σ = 31049132139648. Its totient is φ = 6300702720000.

The previous prime is 14157527749021. The next prime is 14157527749103. The reversal of 14157527749024 is 42094772575141.

It is a self number, because there is not a number n which added to its sum of digits gives 14157527749024.

It is not an unprimeable number, because it can be changed into a prime (14157527749021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018751342 + ... + 2018758354.

It is an arithmetic number, because the mean of its divisors is an integer number (161714229894).

Almost surely, 214157527749024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14157527749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524566069824).

14157527749024 is an abundant number, since it is smaller than the sum of its proper divisors (16891604390624).

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

14157527749024 is a wasteful number, since it uses less digits than its factorization.

14157527749024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 14157527749024 in words is "fourteen trillion, one hundred fifty-seven billion, five hundred twenty-seven million, seven hundred forty-nine thousand, twenty-four".