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14027471610 = 23523434211123
BaseRepresentation
bin11010001000001101…
…00011101011111010
31100012121011101112120
431010012203223322
5212212013042420
610235533222110
71004420353455
oct150406435372
940177141476
1014027471610
115a49162049
122875931936
13142720a079
14970dc849c
1557175cd40
hex3441a3afa

14027471610 has 128 divisors (see below), whose sum is σ = 36064106496. Its totient is φ = 3483406080.

The previous prime is 14027471609. The next prime is 14027471629. The reversal of 14027471610 is 1617472041.

14027471610 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 63 ways as a sum of consecutive naturals, for example, 12490509 + ... + 12491631.

It is an arithmetic number, because the mean of its divisors is an integer number (281750832).

Almost surely, 214027471610 is an apocalyptic number.

14027471610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14027471610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032053248).

14027471610 is an abundant number, since it is smaller than the sum of its proper divisors (22036634886).

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

14027471610 is a wasteful number, since it uses less digits than its factorization.

14027471610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 14027471610 in words is "fourteen billion, twenty-seven million, four hundred seventy-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 421 430 645 690 842 989 1123 1263 1290 1978 2105 2246 2526 2967 3369 4210 4945 5615 5934 6315 6738 9683 9890 11230 12630 14835 16845 18103 19366 25829 29049 29670 33690 36206 48289 48415 51658 54309 58098 77487 90515 96578 96830 108618 129145 144867 145245 154974 181030 241445 258290 271545 289734 290490 387435 416369 472783 482890 543090 724335 774870 832738 945566 1110647 1249107 1418349 1448670 2081845 2221294 2363915 2498214 2836698 3331941 4163690 4727830 5553235 6245535 6663882 7091745 10874009 11106470 12491070 14183490 16659705 20329669 21748018 32622027 33319410 40659338 54370045 60989007 65244054 101648345 108740090 121978014 163110135 203296690 304945035 326220270 467582387 609890070 935164774 1402747161 2337911935 2805494322 4675823870 7013735805 14027471610