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14062730328 = 2333451914407
BaseRepresentation
bin11010001100011010…
…00011110001011000
31100022001111201102000
431012031003301120
5212300024332303
610243233041000
71005326143533
oct150615036130
940261451360
1014062730328
115a67054489
1228856b6160
13143160380a
14975965a1a
155748c4da3
hex346343c58

14062730328 has 64 divisors (see below), whose sum is σ = 39074496000. Its totient is φ = 4686214176.

The previous prime is 14062730309. The next prime is 14062730347. The reversal of 14062730328 is 82303726041.

It is a happy number.

14062730328 is a `hidden beast` number, since 1 + 4 + 0 + 627 + 3 + 0 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (14062730309) and next prime (14062730347).

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

It is a junction number, because it is equal to n+sod(n) for n = 14062730292 and 14062730301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968901 + ... + 983307.

It is an arithmetic number, because the mean of its divisors is an integer number (610539000).

Almost surely, 214062730328 is an apocalyptic number.

14062730328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14062730328 is an abundant number, since it is smaller than the sum of its proper divisors (25011765672).

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

14062730328 is a wasteful number, since it uses less digits than its factorization.

14062730328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18941 (or 18931 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14062730328 in words is "fourteen billion, sixty-two million, seven hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4519 9038 13557 14407 18076 27114 28814 36152 40671 43221 54228 57628 81342 86442 108456 115256 122013 129663 162684 172884 244026 259326 325368 345768 388989 488052 518652 777978 976104 1037304 1555956 3111912 65105233 130210466 195315699 260420932 390631398 520841864 585947097 781262796 1171894194 1562525592 1757841291 2343788388 3515682582 4687576776 7031365164 14062730328