Search a number
-
+
14304252168 = 2332593367291
BaseRepresentation
bin11010101001001100…
…11001000100001000
31100220212222022002100
431110212121010020
5213243342032133
610323221433400
71014321065043
oct152446310410
940825868070
1014304252168
116080417408
12293256b860
13146c66824b
14999a75c5a
1558abd1e13
hex354999108

14304252168 has 48 divisors (see below), whose sum is σ = 39397316400. Its totient is φ = 4687267680.

The previous prime is 14304252143. The next prime is 14304252187. The reversal of 14304252168 is 86125240341.

It is a happy number.

14304252168 is a `hidden beast` number, since 1 + 4 + 30 + 42 + 521 + 68 = 666.

It is a super-2 number, since 2×143042521682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1679398 + ... + 1687893.

It is an arithmetic number, because the mean of its divisors is an integer number (820777425).

Almost surely, 214304252168 is an apocalyptic number.

14304252168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14304252168 is an abundant number, since it is smaller than the sum of its proper divisors (25093064232).

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

14304252168 is a wasteful number, since it uses less digits than its factorization.

14304252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367362 (or 3367355 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14304252168 in words is "fourteen billion, three hundred four million, two hundred fifty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 3367291 6734582 10101873 13469164 20203746 26938328 30305619 40407492 60611238 80814984 121222476 198670169 242444952 397340338 596010507 794680676 1192021014 1589361352 1788031521 2384042028 3576063042 4768084056 7152126084 14304252168