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14134430304 = 2532232133821
BaseRepresentation
bin11010010100111101…
…00100101001100000
31100111001102110021200
431022132210221200
5212421403232204
610254313521200
71010156450421
oct151236445140
940431373250
1014134430304
115aa3576765
1228a5713200
131443419037
149812ab648
1557ad39539
hex34a7a4a60

14134430304 has 72 divisors (see below), whose sum is σ = 41942405232. Its totient is φ = 4506627840.

The previous prime is 14134430267. The next prime is 14134430333. The reversal of 14134430304 is 40303443141.

14134430304 is a `hidden beast` number, since 14 + 1 + 344 + 3 + 0 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060287 + ... + 1073534.

It is an arithmetic number, because the mean of its divisors is an integer number (582533406).

Almost surely, 214134430304 is an apocalyptic number.

It is an amenable number.

14134430304 is an abundant number, since it is smaller than the sum of its proper divisors (27807974928).

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

14134430304 is a wasteful number, since it uses less digits than its factorization.

14134430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133860 (or 2133849 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14134430304 its reverse (40303443141), we get a palindrome (54437873445).

The spelling of 14134430304 in words is "fourteen billion, one hundred thirty-four million, four hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 2133821 4267642 6401463 8535284 12802926 17070568 19204389 25605852 34141136 38408778 49077883 51211704 68282272 76817556 98155766 102423408 147233649 153635112 196311532 204846816 294467298 307270224 392623064 441700947 588934596 614540448 785246128 883401894 1177869192 1570492256 1766803788 2355738384 3533607576 4711476768 7067215152 14134430304