Search a number
-
+
14090595480 = 23325133010811
BaseRepresentation
bin11010001111101110…
…10110110010011000
31100100222221102012200
431013313112302120
5212324143023410
610250110210200
71006115041203
oct150767266230
940328842180
1014090595480
115a80856a35
122892ab3960
13143730bb80
1497953a93a
1557707b3c0
hex347dd6c98

14090595480 has 96 divisors (see below), whose sum is σ = 49317100560. Its totient is φ = 3468453120.

The previous prime is 14090595443. The next prime is 14090595511. The reversal of 14090595480 is 8459509041.

14090595480 is a `hidden beast` number, since 14 + 0 + 9 + 0 + 595 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1500726 + ... + 1510085.

Almost surely, 214090595480 is an apocalyptic number.

14090595480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14090595480 is an abundant number, since it is smaller than the sum of its proper divisors (35226505080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14090595480 is a wasteful number, since it uses less digits than its factorization.

14090595480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010841 (or 3010834 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 14090595480 in words is "fourteen billion, ninety million, five hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 3010811 6021622 9032433 12043244 15054055 18064866 24086488 27097299 30108110 36129732 39140543 45162165 54194598 60216220 72259464 78281086 90324330 108389196 117421629 120432440 135486495 156562172 180648660 195702715 216778392 234843258 270972990 313124344 352264887 361297320 391405430 469686516 541945980 587108145 704529774 782810860 939373032 1083891960 1174216290 1409059548 1565621720 1761324435 2348432580 2818119096 3522648870 4696865160 7045297740 14090595480