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14003286561 = 3411243149223
BaseRepresentation
bin11010000101010100…
…10011001000100001
31100010220122122220000
431002222103020201
5212134320132221
610233311010213
71004004654225
oct150252231041
940126578800
1014003286561
115a36543500
122869809969
1314221bcaa4
1496bad0785
1556e581e26
hex342a93221

14003286561 has 120 divisors (see below), whose sum is σ = 23791891200. Its totient is φ = 8196914880.

The previous prime is 14003286553. The next prime is 14003286589. The reversal of 14003286561 is 16568230041.

It is a happy number.

14003286561 is a `hidden beast` number, since 14 + 0 + 0 + 3 + 2 + 86 + 561 = 666.

It is not a de Polignac number, because 14003286561 - 23 = 14003286553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14003286061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62794896 + ... + 62795118.

It is an arithmetic number, because the mean of its divisors is an integer number (198265760).

Almost surely, 214003286561 is an apocalyptic number.

14003286561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14003286561 is a deficient number, since it is larger than the sum of its proper divisors (9788604639).

14003286561 is a wasteful number, since it uses less digits than its factorization.

14003286561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14003286561 in words is "fourteen billion, three million, two hundred eighty-six thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 43 81 99 121 129 149 223 297 363 387 447 473 669 891 1089 1161 1341 1419 1639 2007 2453 3267 3483 4023 4257 4917 5203 6021 6407 7359 9589 9801 12069 12771 14751 15609 18029 18063 19221 22077 26983 28767 33227 38313 44253 46827 54087 57663 66231 70477 80949 86301 99681 105479 132759 140481 162261 172989 198693 211431 242847 258903 299043 316437 365497 421443 486783 518967 634293 728541 775247 776709 897129 949311 1096491 1160269 1428761 1460349 1902879 2185623 2325741 2691387 2847933 3289473 3480807 4020467 4286283 5708637 6977223 8543799 9868419 10442421 12061401 12858849 15716371 20931669 29605257 31327263 36184203 38576547 47149113 62795007 93981789 108552609 115729641 141447339 172880081 325657827 424342017 518640243 1273026051 1555920729 4667762187 14003286561