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142413343605 = 325131012410313
BaseRepresentation
bin1000010010100001111…
…1110010101101110101
3111121121000211102210200
42010220133302231311
54313130303443410
6145231312111113
713201064306331
oct2045037625565
9447530742720
10142413343605
115544068a995
1223725b35499
1310577870370
146c6dd627c1
153a87a313c0
hex21287f2b75

142413343605 has 48 divisors (see below), whose sum is σ = 268470414576. Its totient is φ = 69416985600.

The previous prime is 142413343601. The next prime is 142413343649. The reversal of 142413343605 is 506343314241.

142413343605 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 3 + 3 + 43 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16080015249 + 126333328356 = 126807^2 + 355434^2 .

It is not a de Polignac number, because 142413343605 - 22 = 142413343601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142413343605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142413343601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146072 + ... + 1264241.

It is an arithmetic number, because the mean of its divisors is an integer number (5593133637).

Almost surely, 2142413343605 is an apocalyptic number.

142413343605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142413343605 is a deficient number, since it is larger than the sum of its proper divisors (126057070971).

142413343605 is a wasteful number, since it uses less digits than its factorization.

142413343605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410438 (or 2410435 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 142413343605 its reverse (506343314241), we get a palindrome (648756657846).

The spelling of 142413343605 in words is "one hundred forty-two billion, four hundred thirteen million, three hundred forty-three thousand, six hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 101 117 195 303 505 585 909 1313 1515 3939 4545 6565 11817 19695 59085 2410313 7230939 12051565 21692817 31334069 36154695 94002207 108464085 156670345 243441613 282006621 470011035 730324839 1217208065 1410033105 2190974517 3164740969 3651624195 9494222907 10954872585 15823704845 28482668721 47471114535 142413343605