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14265984060 = 2234559149257
BaseRepresentation
bin11010100100101000…
…11010010000111100
31100211012222002010000
431102110122100330
5213204042442220
610315333314300
71013344602156
oct152224322074
940735862100
1014265984060
116060859a79
122921795990
131464759ab3
14994953ad6
15587673390
hex35251a43c

14265984060 has 120 divisors (see below), whose sum is σ = 45511749360. Its totient is φ = 3739758336.

The previous prime is 14265984043. The next prime is 14265984091. The reversal of 14265984060 is 6048956241.

14265984060 is a `hidden beast` number, since 14 + 2 + 6 + 598 + 40 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 14265983997 and 14265984015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20952 + ... + 170208.

It is an arithmetic number, because the mean of its divisors is an integer number (379264578).

Almost surely, 214265984060 is an apocalyptic number.

14265984060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14265984060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22755874680).

14265984060 is an abundant number, since it is smaller than the sum of its proper divisors (31245765300).

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

14265984060 is a wasteful number, since it uses less digits than its factorization.

14265984060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149337 (or 149326 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14265984060 in words is "fourteen billion, two hundred sixty-five million, nine hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1062 1180 1593 1620 1770 2124 2655 3186 3540 4779 5310 6372 7965 9558 10620 15930 19116 23895 31860 47790 95580 149257 298514 447771 597028 746285 895542 1343313 1492570 1791084 2238855 2686626 2985140 4029939 4477710 5373252 6716565 8059878 8806163 8955420 12089817 13433130 16119756 17612326 20149695 24179634 26418489 26866260 35224652 40299390 44030815 48359268 52836978 60449085 79255467 80598780 88061630 105673956 120898170 132092445 158510934 176123260 237766401 241796340 264184890 317021868 396277335 475532802 528369780 713299203 792554670 951065604 1188832005 1426598406 1585109340 2377664010 2853196812 3566496015 4755328020 7132992030 14265984060