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14150521728 = 2732753113293
BaseRepresentation
bin11010010110110111…
…11101001110000000
31100112011200222120100
431023123331032000
5212440013143403
610300050442400
71010443310250
oct151333751600
940464628510
1014150521728
116001667462
1228aab93400
1314468613a5
14983499960
1557c4672a3
hex34b6fd380

14150521728 has 384 divisors, whose sum is σ = 47997593280. Its totient is φ = 3918200832.

The previous prime is 14150521711. The next prime is 14150521799. The reversal of 14150521728 is 82712505141.

It is a happy number.

14150521728 is a `hidden beast` number, since 1 + 415 + 0 + 5 + 217 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 14150521692 and 14150521701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48295150 + ... + 48295442.

Almost surely, 214150521728 is an apocalyptic number.

14150521728 is a gapful number since it is divisible by the number (18) 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 14150521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998796640).

14150521728 is an abundant number, since it is smaller than the sum of its proper divisors (33847071552).

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

14150521728 is a wasteful number, since it uses less digits than its factorization.

14150521728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 14150521728 in words is "fourteen billion, one hundred fifty million, five hundred twenty-one thousand, seven hundred twenty-eight".