Search a number
-
+
14284275243732 = 223213241112659459
BaseRepresentation
bin1100111111011101000100…
…1001101101101011010100
31212120120012200221121010100
43033313101021231223110
53333013143430244412
650214034440054100
73003001441143444
oct317672111555324
955516180847110
1014284275243732
114607a21a9184a
12172847aa64330
137c800303a140
1437551100a124
1519b877d34edc
hexcfdd126dad4

14284275243732 has 72 divisors (see below), whose sum is σ = 38901102720480. Its totient is φ = 4393338304320.

The previous prime is 14284275243713. The next prime is 14284275243757. The reversal of 14284275243732 is 23734257248241.

14284275243732 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 42 + 7 + 524 + 3 + 73 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5201382 + ... + 7458077.

It is an arithmetic number, because the mean of its divisors is an integer number (540293093340).

Almost surely, 214284275243732 is an apocalyptic number.

14284275243732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14284275243732 is an abundant number, since it is smaller than the sum of its proper divisors (24616827476748).

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

14284275243732 is a wasteful number, since it uses less digits than its factorization.

14284275243732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661893 (or 12661888 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 14284275243732 in words is "fourteen trillion, two hundred eighty-four billion, two hundred seventy-five million, two hundred forty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2411 4822 7233 9644 14466 21699 28932 31343 43398 62686 86796 94029 125372 188058 282087 376116 564174 1128348 12659459 25318918 37978377 50637836 75956754 113935131 151913508 164572967 227870262 329145934 455740524 493718901 658291868 987437802 1481156703 1974875604 2962313406 5924626812 30521955649 61043911298 91565866947 122087822596 183131733894 274697600841 366263467788 396785423437 549395201682 793570846874 1098790403364 1190356270311 1587141693748 2380712540622 3571068810933 4761425081244 7142137621866 14284275243732