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14100947471 = 132691120749
BaseRepresentation
bin11010010000111101…
…10110001000001111
31100101201102100110202
431020132312020033
5212334320304341
610251120124115
71006302035012
oct151036661017
940351370422
1014100947471
115a866875a6
12289646663b
1314394c4a00
1497aa73379
15577e2379b
hex3487b620f

14100947471 has 12 divisors (see below), whose sum is σ = 15291297000. Its totient is φ = 12997314720.

The previous prime is 14100947423. The next prime is 14100947507. The reversal of 14100947471 is 17474900141.

It is a happy number.

14100947471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-14100947471 is a prime.

It is a super-3 number, since 3×141009474713 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100947411) 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 11 ways as a sum of consecutive naturals, for example, 56405 + ... + 177153.

It is an arithmetic number, because the mean of its divisors is an integer number (1274274750).

Almost surely, 214100947471 is an apocalyptic number.

14100947471 is a deficient number, since it is larger than the sum of its proper divisors (1190349529).

14100947471 is a wasteful number, since it uses less digits than its factorization.

14100947471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121466 (or 121453 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 14100947471 in words is "fourteen billion, one hundred million, nine hundred forty-seven thousand, four hundred seventy-one".

Divisors: 1 13 169 691 8983 116779 120749 1569737 20406581 83437559 1084688267 14100947471