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14121261 = 3272114171
BaseRepresentation
bin110101110111…
…100100101101
3222120102201200
4311313210231
512103340021
61222400113
7231012600
oct65674455
928512650
1014121261
117a75570
124890039
132c0569b
141c38337
15138e126
hexd7792d

14121261 has 72 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 7056000.

The previous prime is 14121229. The next prime is 14121281. The reversal of 14121261 is 16212141.

It is not a de Polignac number, because 14121261 - 25 = 14121229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198856 + ... + 198926.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 214121261 is an apocalyptic number.

14121261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14121261 is the 2009-th nonagonal number.

It is an amenable number.

14121261 is a deficient number, since it is larger than the sum of its proper divisors (12768147).

14121261 is a wasteful number, since it uses less digits than its factorization.

14121261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 14121261 is about 3757.8266325098. The cubic root of 14121261 is about 241.7080752403.

The spelling of 14121261 in words is "fourteen million, one hundred twenty-one thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 41 49 63 71 77 99 123 147 213 231 287 369 441 451 497 539 639 693 781 861 1353 1491 1617 2009 2343 2583 2911 3157 3479 4059 4473 4851 5467 6027 7029 8733 9471 10437 16401 18081 20377 22099 26199 28413 31311 32021 38269 49203 61131 66297 96063 114807 142639 183393 198891 224147 288189 344421 427917 672441 1283751 1569029 2017323 4707087 14121261