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15140413140 = 2235607415717
BaseRepresentation
bin11100001100111000…
…00101111011010100
31110002011100200022020
432012130011323110
5222001421210030
610542211333140
71044123250116
oct160634057324
943064320266
1015140413140
11646a406536
122b265b11b0
13157396c458
14a38b353b6
155d92ed510
hex386705ed4

15140413140 has 48 divisors (see below), whose sum is σ = 42463099392. Its totient is φ = 4030782336.

The previous prime is 15140413117. The next prime is 15140413213. The reversal of 15140413140 is 4131404151.

It is a happy number.

15140413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151404131402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15140413140.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 171439 + ... + 244278.

It is an arithmetic number, because the mean of its divisors is an integer number (884647904).

Almost surely, 215140413140 is an apocalyptic number.

15140413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15140413140 is an abundant number, since it is smaller than the sum of its proper divisors (27322686252).

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

15140413140 is a wasteful number, since it uses less digits than its factorization.

15140413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416336 (or 416334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 15140413140 its reverse (4131404151), we get a palindrome (19271817291).

The spelling of 15140413140 in words is "fifteen billion, one hundred forty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 607 1214 1821 2428 3035 3642 6070 7284 9105 12140 18210 36420 415717 831434 1247151 1662868 2078585 2494302 4157170 4988604 6235755 8314340 12471510 24943020 252340219 504680438 757020657 1009360876 1261701095 1514041314 2523402190 3028082628 3785103285 5046804380 7570206570 15140413140