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14282028810 = 233577556629
BaseRepresentation
bin11010100110100011…
…00111011100001010
31100212100011020101000
431103101213130022
5213222144410220
610321105235430
71013631145650
oct152321473412
940770136330
1014282028810
1160699186a5
122927032b76
131467b86b2a
14996b2cdd0
15588c92390
hex35346770a

14282028810 has 64 divisors (see below), whose sum is σ = 43526188800. Its totient is φ = 3264463296.

The previous prime is 14282028809. The next prime is 14282028821. The reversal of 14282028810 is 1882028241.

14282028810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142820288102 (a number of 21 digits) contains 22 as substring.

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, 3776425 + ... + 3780204.

It is an arithmetic number, because the mean of its divisors is an integer number (680096700).

Almost surely, 214282028810 is an apocalyptic number.

14282028810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14282028810 is an abundant number, since it is smaller than the sum of its proper divisors (29244159990).

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

14282028810 is a wasteful number, since it uses less digits than its factorization.

14282028810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556652 (or 7556646 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 14282028810 in words is "fourteen billion, two hundred eighty-two million, twenty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 7556629 15113258 22669887 37783145 45339774 52896403 68009661 75566290 105792806 113349435 136019322 158689209 204028983 226698870 264482015 317378418 340048305 408057966 476067627 528964030 680096610 793446045 952135254 1020144915 1428202881 1586892090 2040289830 2380338135 2856405762 4760676270 7141014405 14282028810