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14419563345 = 3251127336277
BaseRepresentation
bin11010110110111100…
…10001001101010001
31101012220221201021200
431123132101031101
5214012402011340
610342501141413
71020221160165
oct153336211521
941186851250
1014419563345
11612a516400
1229650ba869
13148a50cc05
149ab0d0ca5
15595dad330
hex35b791351

14419563345 has 72 divisors (see below), whose sum is σ = 27849749928. Its totient is φ = 6895342080.

The previous prime is 14419563343. The next prime is 14419563371. The reversal of 14419563345 is 54336591441.

14419563345 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 9 + 5 + 633 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3702965904 + 10716597441 = 60852^2 + 103521^2 .

It is not a de Polignac number, because 14419563345 - 21 = 14419563343 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14419563345.

It is not an unprimeable number, because it can be changed into a prime (14419563343) 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, 379347 + ... + 415623.

Almost surely, 214419563345 is an apocalyptic number.

14419563345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14419563345 is a deficient number, since it is larger than the sum of its proper divisors (13430186583).

14419563345 is a wasteful number, since it uses less digits than its factorization.

14419563345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36383 (or 36369 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 14419563345 in words is "fourteen billion, four hundred nineteen million, five hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 121 165 219 363 365 495 605 657 803 1089 1095 1815 2409 3285 4015 5445 7227 8833 12045 26499 36135 36277 44165 79497 108831 132495 181385 326493 397485 399047 544155 1197141 1632465 1995235 2648221 3591423 4389517 5985705 7944663 13168551 13241105 17957115 21947585 23833989 29130431 39505653 39723315 65842755 87391293 119169945 145652155 197528265 262173879 320434741 436956465 961304223 1310869395 1602173705 2883912669 4806521115 14419563345