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14102564445 = 3254383277317
BaseRepresentation
bin11010010001001010…
…00000111001011101
31100101211110111112200
431020211000321131
5212340224030240
610251214522113
71006321551144
oct151045007135
940354414480
1014102564445
115a87591442
122896b06339
13143993c9b8
1497ad7475b
15578142930
hex348940e5d

14102564445 has 96 divisors (see below), whose sum is σ = 25485812352. Its totient is φ = 7208925696.

The previous prime is 14102564429. The next prime is 14102564453. The reversal of 14102564445 is 54446520141.

14102564445 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 2 + 5 + 644 + 4 + 5 = 666.

It is not a de Polignac number, because 14102564445 - 24 = 14102564429 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44487427 + ... + 44487743.

It is an arithmetic number, because the mean of its divisors is an integer number (265477212).

Almost surely, 214102564445 is an apocalyptic number.

14102564445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14102564445 is a deficient number, since it is larger than the sum of its proper divisors (11383247907).

14102564445 is a wasteful number, since it uses less digits than its factorization.

14102564445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14102564445 in words is "fourteen billion, one hundred two million, five hundred sixty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 43 45 83 129 215 249 277 317 387 415 645 747 831 951 1245 1385 1585 1935 2493 2853 3569 3735 4155 4755 10707 11911 12465 13631 14265 17845 22991 26311 32121 35733 40893 53535 59555 68155 68973 78933 87809 107199 114955 122679 131555 160605 178665 204465 206919 236799 263427 344865 394665 439045 535995 613395 790281 988613 1034595 1131373 1183995 1317135 2965839 3394119 3775787 3951405 4943065 5656865 7288147 8897517 10182357 11327361 14829195 16970595 18878935 21864441 33982083 36440735 44487585 50911785 56636805 65593323 109322205 169910415 313390321 327966615 940170963 1566951605 2820512889 4700854815 14102564445