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14045269293 = 33113153107269
BaseRepresentation
bin11010001010010100…
…11100110100101101
31100020211122121101000
431011022130310231
5212231042104133
610241410510513
71005024550656
oct150512346455
940224577330
1014045269293
115a58208780
12287b895439
13142aacbc43
149734dc52d
155730c6413
hex34529cd2d

14045269293 has 128 divisors (see below), whose sum is σ = 24186470400. Its totient is φ = 7976966400.

The previous prime is 14045269289. The next prime is 14045269307. The reversal of 14045269293 is 39296254041.

14045269293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14045269293 - 22 = 14045269289 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045269283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52212763 + ... + 52213031.

It is an arithmetic number, because the mean of its divisors is an integer number (188956800).

Almost surely, 214045269293 is an apocalyptic number.

It is an amenable number.

14045269293 is a deficient number, since it is larger than the sum of its proper divisors (10141201107).

14045269293 is a wasteful number, since it uses less digits than its factorization.

14045269293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 14045269293 in words is "fourteen billion, forty-five million, two hundred sixty-nine thousand, two hundred ninety-three".

Divisors: 1 3 9 11 27 31 33 53 93 99 107 159 269 279 297 321 341 477 583 807 837 963 1023 1177 1431 1643 1749 2421 2889 2959 3069 3317 3531 4929 5247 5671 7263 8339 8877 9207 9951 10593 14257 14787 15741 17013 18073 25017 26631 28783 29853 31779 36487 42771 44361 51039 54219 62381 75051 79893 86349 89559 91729 109461 128313 153117 156827 162657 175801 187143 225153 259047 275187 316613 328383 384939 441967 470481 487971 527403 561429 777141 825561 892273 949839 985149 1325901 1411443 1525499 1582209 1684287 1933811 2476683 2676819 2849517 3977703 4234329 4576497 4746627 4861637 5801433 8030457 8548551 9815003 11933109 13729491 14584911 16780489 17404299 24091371 29445009 41188473 43754733 47290469 50341467 52212897 88335027 131264199 141871407 151024401 265005081 425614221 453073203 520195159 1276842663 1560585477 4681756431 14045269293