Search a number
-
+
14042105325 = 3452191512417
BaseRepresentation
bin11010001001111100…
…11000010111101101
31100020121200212020000
431010332120113231
5212224234332300
610241215014513
71004655632403
oct150476302755
940217625200
1014042105325
115a56447626
12287a80a439
13142a261a81
14972d17473
15572b9dc00
hex344f985ed

14042105325 has 120 divisors (see below), whose sum is σ = 27572550720. Its totient is φ = 7045056000.

The previous prime is 14042105323. The next prime is 14042105359. The reversal of 14042105325 is 52350124041.

It is not a de Polignac number, because 14042105325 - 21 = 14042105323 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 (14042105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5808517 + ... + 5810933.

It is an arithmetic number, because the mean of its divisors is an integer number (229771256).

Almost surely, 214042105325 is an apocalyptic number.

14042105325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14042105325 is a deficient number, since it is larger than the sum of its proper divisors (13530445395).

14042105325 is a wasteful number, since it uses less digits than its factorization.

14042105325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 14042105325 its reverse (52350124041), we get a palindrome (66392229366).

The spelling of 14042105325 in words is "fourteen billion, forty-two million, one hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 151 171 225 285 405 453 475 513 675 755 855 1359 1425 1539 2025 2265 2417 2565 2869 3775 4077 4275 6795 7251 7695 8607 11325 12085 12231 12825 14345 20385 21753 25821 33975 36255 38475 43035 45923 60425 61155 65259 71725 77463 101925 108765 129105 137769 181275 195777 215175 229615 232389 305775 326295 364967 387315 413307 543825 645525 688845 978885 1094901 1148075 1161945 1239921 1631475 1824835 1936575 2066535 3284703 3444225 3719763 4894425 5474505 5809725 6199605 6934373 9124175 9854109 10332675 16423515 18598815 20803119 27372525 29562327 30998025 34671865 49270545 62409357 82117575 92994075 104015595 147811635 173359325 187228071 246352725 312046785 520077975 561684213 739058175 936140355 1560233925 2808421065 4680701775 14042105325