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14085776460 = 22357327110253
BaseRepresentation
bin11010001111001001…
…11110010001001100
31100100122212120202110
431013210332101030
5212321424321320
610245415024020
71006026060450
oct150744762114
940318776673
1014085776460
115a79065378
12289136b010
131436312592
14978a44660
155769285e0
hex34793e44c

14085776460 has 96 divisors (see below), whose sum is σ = 45092662272. Its totient is φ = 3218307840.

The previous prime is 14085776447. The next prime is 14085776477. The reversal of 14085776460 is 6467758041.

14085776460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368694 + ... + 1378946.

It is an arithmetic number, because the mean of its divisors is an integer number (469715232).

Almost surely, 214085776460 is an apocalyptic number.

14085776460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14085776460 is an abundant number, since it is smaller than the sum of its proper divisors (31006885812).

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

14085776460 is a wasteful number, since it uses less digits than its factorization.

14085776460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13543 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 14085776460 in words is "fourteen billion, eighty-five million, seven hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3271 6542 9813 10253 13084 16355 19626 20506 22897 30759 32710 39252 41012 45794 49065 51265 61518 65420 68691 71771 91588 98130 102530 114485 123036 137382 143542 153795 196260 205060 215313 228970 274764 287084 307590 343455 358855 430626 457940 615180 686910 717710 861252 1076565 1373820 1435420 2153130 4306260 33537563 67075126 100612689 134150252 167687815 201225378 234762941 335375630 402450756 469525882 503063445 670751260 704288823 939051764 1006126890 1173814705 1408577646 2012253780 2347629410 2817155292 3521444115 4695258820 7042888230 14085776460