Search a number
-
+
14139135360 = 273357412851
BaseRepresentation
bin11010010101100001…
…00001010110000000
31100111101021111102000
431022300201112000
5212424104312420
610255002424000
71010244444660
oct151260412600
940441244360
1014139135360
115aa619a739
1228a7202000
1314443a57ac
14981b741a0
1557b468690
hex34ac21580

14139135360 has 512 divisors, whose sum is σ = 58646246400. Its totient is φ = 3151872000.

The previous prime is 14139135313. The next prime is 14139135383. The reversal of 14139135360 is 6353193141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4957935 + ... + 4960785.

It is an arithmetic number, because the mean of its divisors is an integer number (114543450).

Almost surely, 214139135360 is an apocalyptic number.

14139135360 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 14139135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29323123200).

14139135360 is an abundant number, since it is smaller than the sum of its proper divisors (44507111040).

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

14139135360 is a wasteful number, since it uses less digits than its factorization.

14139135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 14139135360 in words is "fourteen billion, one hundred thirty-nine million, one hundred thirty-five thousand, three hundred sixty".