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13142424141 = 32711171115561
BaseRepresentation
bin11000011110101100…
…10111101001001101
31020220220210022122200
430033112113221031
5203403430033031
610012035432113
7643452522240
oct141726275115
936826708580
1013142424141
115634612860
122669455639
131315a4a542
148c9641257
1551dbd68e6
hex30f597a4d

13142424141 has 48 divisors (see below), whose sum is σ = 25059984768. Its totient is φ = 6425625600.

The previous prime is 13142424137. The next prime is 13142424167. The reversal of 13142424141 is 14142424131.

13142424141 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 242 + 414 + 1 = 666.

It is not a de Polignac number, because 13142424141 - 22 = 13142424137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142424041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 546000 + ... + 569561.

It is an arithmetic number, because the mean of its divisors is an integer number (522083016).

Almost surely, 213142424141 is an apocalyptic number.

13142424141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13142424141 is a deficient number, since it is larger than the sum of its proper divisors (11917560627).

13142424141 is a wasteful number, since it uses less digits than its factorization.

13142424141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115602 (or 1115599 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 13142424141 its reverse (14142424131), we get a palindrome (27284848272).

The spelling of 13142424141 in words is "thirteen billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 1115561 3346683 7808927 10040049 12271171 18964537 23426781 36813513 56893611 70280343 85898197 110440539 132751759 170680833 208609907 257694591 398255277 625829721 773083773 1194765831 1460269349 1877489163 4380808047 13142424141