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15140114136 = 23337234759157
BaseRepresentation
bin11100001100110101…
…11100111011011000
31110002010210111011000
432012122330323120
5222001332123021
610542201105000
71044120563310
oct160632747330
943063714130
1015140114136
11646a221924
122b26488160
131573896324
14a38a98440
155d928eb26
hex3866bced8

15140114136 has 512 divisors, whose sum is σ = 52420608000. Its totient is φ = 3955640832.

The previous prime is 15140114117. The next prime is 15140114141. The reversal of 15140114136 is 63141104151.

15140114136 is a `hidden beast` number, since 1 + 514 + 0 + 1 + 14 + 136 = 666.

It is a super-2 number, since 2×151401141362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96433770 + ... + 96433926.

It is an arithmetic number, because the mean of its divisors is an integer number (102384000).

Almost surely, 215140114136 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 15140114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210304000).

15140114136 is an abundant number, since it is smaller than the sum of its proper divisors (37280493864).

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

15140114136 is a wasteful number, since it uses less digits than its factorization.

15140114136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 15140114136 its reverse (63141104151), we get a palindrome (78281218287).

The spelling of 15140114136 in words is "fifteen billion, one hundred forty million, one hundred fourteen thousand, one hundred thirty-six".