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13142072360 = 2351723818117
BaseRepresentation
bin11000011110101010…
…00001110000101000
31020220220010110002202
430033111001300220
5203403332303420
610012024115332
7643446525524
oct141725016050
936826113082
1013142072360
1156343a252a
122669305b48
1313159563a1
148c958cd84
1551db67575
hex30f541c28

13142072360 has 64 divisors (see below), whose sum is σ = 31326063120. Its totient is φ = 4944916480.

The previous prime is 13142072357. The next prime is 13142072369. The reversal of 13142072360 is 6327024131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5722317316 + 7419755044 = 75646^2 + 86138^2 .

It is not an unprimeable number, because it can be changed into a prime (13142072369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615022 + ... + 1623138.

Almost surely, 213142072360 is an apocalyptic number.

13142072360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142072360 is an abundant number, since it is smaller than the sum of its proper divisors (18183990760).

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

13142072360 is a wasteful number, since it uses less digits than its factorization.

13142072360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10526 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 13142072360 its reverse (6327024131), we get a palindrome (19469096491).

The spelling of 13142072360 in words is "thirteen billion, one hundred forty-two million, seventy-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2381 4762 8117 9524 11905 16234 19048 23810 32468 40477 40585 47620 64936 80954 81170 95240 137989 161908 162340 202385 275978 323816 324680 404770 551956 689945 809540 1103912 1379890 1619080 2759780 5519560 19326577 38653154 77306308 96632885 154612616 193265770 328551809 386531540 657103618 773063080 1314207236 1642759045 2628414472 3285518090 6571036180 13142072360