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14045505111 = 33111717915541
BaseRepresentation
bin11010001010010110…
…10110011001010111
31100020212002120212000
431011023112121113
5212231122130421
610241415530343
71005026552331
oct150513263127
940225076760
1014045505111
115a58359970
12287b9899b3
13142ab82391
14973560451
15573121226
hex3452d6657

14045505111 has 64 divisors (see below), whose sum is σ = 24170918400. Its totient is φ = 7966425600.

The previous prime is 14045505101. The next prime is 14045505113. The reversal of 14045505111 is 11150554041.

14045505111 is a `hidden beast` number, since 1 + 4 + 0 + 45 + 505 + 111 = 666.

It is not a de Polignac number, because 14045505111 - 213 = 14045496919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045505113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896001 + ... + 911541.

It is an arithmetic number, because the mean of its divisors is an integer number (377670600).

Almost surely, 214045505111 is an apocalyptic number.

14045505111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14045505111 is a deficient number, since it is larger than the sum of its proper divisors (10125413289).

14045505111 is a wasteful number, since it uses less digits than its factorization.

14045505111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 14045505111 in words is "fourteen billion, forty-five million, five hundred five thousand, one hundred eleven".

Divisors: 1 3 9 11 17 27 33 51 99 153 179 187 297 459 537 561 1611 1683 1969 3043 4833 5049 5907 9129 15541 17721 27387 33473 46623 53163 82161 100419 139869 170951 264197 301257 419607 512853 792591 903771 1538559 2377773 2781839 2906167 4615677 7133319 8345517 8718501 25036551 26155503 30600229 47291263 75109653 78466509 91800687 141873789 275402061 425621367 520203893 826206183 1276864101 1560611679 4681835037 14045505111