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14148971347 = 7371513311093
BaseRepresentation
bin11010010110101100…
…00010101101010011
31100112001210012211211
431023112002231103
5212434114040342
610255553320551
71010424162220
oct151326025523
940461705754
1014148971347
1160007a8655
1228aa566157
13144643a7c4
149831b4947
1557c25cc17
hex34b582b53

14148971347 has 32 divisors (see below), whose sum is σ = 16783115264. Its totient is φ = 11675664000.

The previous prime is 14148971297. The next prime is 14148971351. The reversal of 14148971347 is 74317984141.

14148971347 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 14148971347 - 211 = 14148969299 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14148971347.

It is not an unprimeable number, because it can be changed into a prime (14148971647) 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, 12944533 + ... + 12945625.

It is an arithmetic number, because the mean of its divisors is an integer number (524472352).

Almost surely, 214148971347 is an apocalyptic number.

14148971347 is a deficient number, since it is larger than the sum of its proper divisors (2634143917).

14148971347 is a wasteful number, since it uses less digits than its factorization.

14148971347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619.

The product of its digits is 677376, while the sum is 49.

The spelling of 14148971347 in words is "fourteen billion, one hundred forty-eight million, nine hundred seventy-one thousand, three hundred forty-seven".

Divisors: 1 7 37 151 259 331 1057 1093 2317 5587 7651 12247 39109 40441 49981 85729 165043 283087 349867 361783 1155301 1849297 2532481 6106591 12945079 13385971 42746137 54629233 93701797 382404631 2021281621 14148971347