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14127131079 = 332947537243
BaseRepresentation
bin11010010100000101…
…01110100111000111
31100110112200121122000
431022002232213013
5212413021143304
610253453240343
71010040430035
oct151202564707
940415617560
1014127131079
115a9a440746
1228a31930b3
131441a61879
1498032b555
1557a396939
hex34a0ae9c7

14127131079 has 64 divisors (see below), whose sum is σ = 22531737600. Its totient is φ = 8730723456.

The previous prime is 14127131077. The next prime is 14127131111. The reversal of 14127131079 is 97013172141.

14127131079 is a `hidden beast` number, since 1 + 4 + 1 + 271 + 310 + 79 = 666.

14127131079 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 14127131079 - 21 = 14127131077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14127131077) 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 63 ways as a sum of consecutive naturals, for example, 1946832 + ... + 1954074.

It is an arithmetic number, because the mean of its divisors is an integer number (352058400).

Almost surely, 214127131079 is an apocalyptic number.

14127131079 is a deficient number, since it is larger than the sum of its proper divisors (8404606521).

14127131079 is a wasteful number, since it uses less digits than its factorization.

14127131079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 14127131079 in words is "fourteen billion, one hundred twenty-seven million, one hundred thirty-one thousand, seventy-nine".

Divisors: 1 3 9 27 29 47 53 87 141 159 261 423 477 783 1269 1363 1431 1537 2491 4089 4611 7243 7473 12267 13833 21729 22419 36801 41499 65187 67257 72239 195561 210047 216717 340421 383879 630141 650151 1021263 1151637 1890423 1950453 3063789 3454911 5671269 9191367 9872209 10364733 11132491 18042313 29616627 33397473 54126939 88849881 100192419 162380817 266549643 300577257 487142451 523227077 1569681231 4709043693 14127131079