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13142429979 = 3719154321347
BaseRepresentation
bin11000011110101100…
…11001000100011011
31020220220210121122220
430033112121010123
5203403430224404
610012035515123
7643452545250
oct141726310433
936826717586
1013142429979
115634617188
122669458aa3
131315a500b3
148c9643427
1551dbd84d9
hex30f59911b

13142429979 has 32 divisors (see below), whose sum is σ = 21095239680. Its totient is φ = 7109754912.

The previous prime is 13142429929. The next prime is 13142429999. The reversal of 13142429979 is 97992424131.

13142429979 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13142429979 - 27 = 13142429851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13142429929) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 604984 + ... + 626330.

It is an arithmetic number, because the mean of its divisors is an integer number (659226240).

Almost surely, 213142429979 is an apocalyptic number.

13142429979 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13142429979 is a deficient number, since it is larger than the sum of its proper divisors (7952809701).

13142429979 is a wasteful number, since it uses less digits than its factorization.

13142429979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22919.

The product of its digits is 979776, while the sum is 51.

The spelling of 13142429979 in words is "thirteen billion, one hundred forty-two million, four hundred twenty-nine thousand, nine hundred seventy-nine".

Divisors: 1 3 7 19 21 57 133 399 1543 4629 10801 21347 29317 32403 64041 87951 149429 205219 405593 448287 615657 1216779 2839151 8517453 32938421 98815263 230568947 625829999 691706841 1877489997 4380809993 13142429979