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14334304896 = 273212442973
BaseRepresentation
bin11010101100110010…
…00010001010000000
31100222222112010200100
431112121002022000
5213324040224041
610330213522400
71015134403242
oct152631021200
940888463610
1014334304896
11609638347a
122940643400
13147595b222
1499da5a092
1558d66b6b6
hex356642280

14334304896 has 48 divisors (see below), whose sum is σ = 41248458810. Its totient is φ = 4778101248.

The previous prime is 14334304891. The next prime is 14334304903. The reversal of 14334304896 is 69840343341.

14334304896 is a `hidden beast` number, since 1 + 4 + 334 + 304 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14313729600 + 20575296 = 119640^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14334304891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6220335 + ... + 6222638.

Almost surely, 214334304896 is an apocalyptic number.

14334304896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14334304896 is an abundant number, since it is smaller than the sum of its proper divisors (26914153914).

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

14334304896 is a wasteful number, since it uses less digits than its factorization.

14334304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442993 (or 12442978 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 14334304896 in words is "fourteen billion, three hundred thirty-four million, three hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12442973 24885946 37328919 49771892 74657838 99543784 111986757 149315676 199087568 223973514 298631352 398175136 447947028 597262704 796350272 895894056 1194525408 1592700544 1791788112 2389050816 3583576224 4778101632 7167152448 14334304896