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15142901340 = 2235736054527
BaseRepresentation
bin11100001101001011…
…00101011001011100
31110002100001002110210
432012211211121130
5222003040320330
610542340532420
71044153352260
oct160645453134
943070032423
1015142901340
1164708559a6
122b273b1110
131574330b68
14a391c20a0
155d96408b0
hex38696565c

15142901340 has 48 divisors (see below), whose sum is σ = 48457285632. Its totient is φ = 3461234496.

The previous prime is 15142901339. The next prime is 15142901353. The reversal of 15142901340 is 4310924151.

15142901340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15142901298 and 15142901307.

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, 18026844 + ... + 18027683.

It is an arithmetic number, because the mean of its divisors is an integer number (1009526784).

Almost surely, 215142901340 is an apocalyptic number.

15142901340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15142901340 is an abundant number, since it is smaller than the sum of its proper divisors (33314384292).

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

15142901340 is a wasteful number, since it uses less digits than its factorization.

15142901340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36054546 (or 36054544 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 15142901340 in words is "fifteen billion, one hundred forty-two million, nine hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 36054527 72109054 108163581 144218108 180272635 216327162 252381689 360545270 432654324 504763378 540817905 721090540 757145067 1009526756 1081635810 1261908445 1514290134 2163271620 2523816890 3028580268 3785725335 5047633780 7571450670 15142901340