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14345809464 = 2337154955127
BaseRepresentation
bin11010101110001001…
…11010111000111000
31101000210011121222110
431113010322320320
5213340011400324
610331304252320
71015334240250
oct152704727070
941023147873
1014345809464
1160a1920a88
1229444710a0
13147815886c
149a13b2960
1558e690329
hex35713ae38

14345809464 has 64 divisors (see below), whose sum is σ = 41015232000. Its totient is φ = 4096082304.

The previous prime is 14345809459. The next prime is 14345809493. The reversal of 14345809464 is 46490854341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232669 + ... + 287795.

It is an arithmetic number, because the mean of its divisors is an integer number (640863000).

Almost surely, 214345809464 is an apocalyptic number.

14345809464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14345809464 is an abundant number, since it is smaller than the sum of its proper divisors (26669422536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14345809464 is a wasteful number, since it uses less digits than its factorization.

14345809464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56692 (or 56688 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 14345809464 in words is "fourteen billion, three hundred forty-five million, eight hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1549 3098 4647 6196 9294 10843 12392 18588 21686 32529 37176 43372 55127 65058 86744 110254 130116 165381 220508 260232 330762 385889 441016 661524 771778 1157667 1323048 1543556 2315334 3087112 4630668 9261336 85391723 170783446 256175169 341566892 512350338 597742061 683133784 1024700676 1195484122 1793226183 2049401352 2390968244 3586452366 4781936488 7172904732 14345809464