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14082909190 = 2572412832477
BaseRepresentation
bin11010001110110100…
…00010010000000110
31100100110110220121021
431013122002100012
5212320211043230
610245233341354
71005662516200
oct150732022006
940313426537
1014082909190
115a77487129
12289040785a
13143584a47c
149784d9770
1557655dc7a
hex347682406

14082909190 has 96 divisors (see below), whose sum is σ = 30326081184. Its totient is φ = 4692119040.

The previous prime is 14082909187. The next prime is 14082909209. The reversal of 14082909190 is 9190928041.

It is a happy number.

It is a super-2 number, since 2×140829091902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5684232 + ... + 5686708.

It is an arithmetic number, because the mean of its divisors is an integer number (315896679).

Almost surely, 214082909190 is an apocalyptic number.

14082909190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14082909190 is an abundant number, since it is smaller than the sum of its proper divisors (16243171994).

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

14082909190 is a wasteful number, since it uses less digits than its factorization.

14082909190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 14082909190 in words is "fourteen billion, eighty-two million, nine hundred nine thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 283 287 410 490 566 574 1415 1435 1981 2009 2477 2830 2870 3962 4018 4954 9905 10045 11603 12385 13867 17339 19810 20090 23206 24770 27734 34678 58015 69335 81221 86695 101557 116030 121373 138670 162442 173390 203114 242746 406105 507785 568547 606865 700991 710899 812210 1015570 1137094 1213730 1401982 1421798 2842735 3504955 3554495 4906937 4976293 5685470 7009910 7108990 9813874 9952586 24534685 24881465 28740631 34348559 49069370 49762930 57481262 68697118 143703155 171742795 201184417 287406310 343485590 402368834 1005922085 1408290919 2011844170 2816581838 7041454595 14082909190