Search a number
-
+
13142314140 = 2235839261071
BaseRepresentation
bin11000011110101011…
…11100110010011100
31020220220120201202120
430033111330302130
5203403413023030
610012033222540
7643451553444
oct141725746234
936826521676
1013142314140
11563454814a
122669401a50
131315a0c457
148c9613124
1551dbb4010
hex30f57cc9c

13142314140 has 48 divisors (see below), whose sum is σ = 36842480640. Its totient is φ = 3500426560.

The previous prime is 13142314121. The next prime is 13142314169. The reversal of 13142314140 is 4141324131.

It is a self number, because there is not a number n which added to its sum of digits gives 13142314140.

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 15 ways as a sum of consecutive naturals, for example, 80196 + ... + 180875.

It is an arithmetic number, because the mean of its divisors is an integer number (767551680).

Almost surely, 213142314140 is an apocalyptic number.

13142314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142314140 is an abundant number, since it is smaller than the sum of its proper divisors (23700166500).

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

13142314140 is a wasteful number, since it uses less digits than its factorization.

13142314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261922 (or 261920 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13142314140 its reverse (4141324131), we get a palindrome (17283638271).

Subtracting from 13142314140 its reverse (4141324131), we obtain a palindrome (9000990009).

The spelling of 13142314140 in words is "thirteen billion, one hundred forty-two million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 839 1678 2517 3356 4195 5034 8390 10068 12585 16780 25170 50340 261071 522142 783213 1044284 1305355 1566426 2610710 3132852 3916065 5221420 7832130 15664260 219038569 438077138 657115707 876154276 1095192845 1314231414 2190385690 2628462828 3285578535 4380771380 6571157070 13142314140