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14427650340 = 223458905957
BaseRepresentation
bin11010110111111010…
…00111100100100100
31101020111011120120000
431123331013210210
5214021434302330
610343350341300
71020350001345
oct153375074444
941214146500
1014427650340
11613403a274
12296795a830
13148c0b1b0c
149ac1d80cc
15596959560
hex35bf47924

14427650340 has 60 divisors (see below), whose sum is σ = 45260078556. Its totient is φ = 3847372992.

The previous prime is 14427650297. The next prime is 14427650357. The reversal of 14427650340 is 4305672441.

14427650340 is a `hidden beast` number, since 1 + 4 + 42 + 76 + 503 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7135856676 + 7291793664 = 84474^2 + 85392^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 14427650295 and 14427650304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4451359 + ... + 4454598.

Almost surely, 214427650340 is an apocalyptic number.

14427650340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14427650340 is an abundant number, since it is smaller than the sum of its proper divisors (30832428216).

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

14427650340 is a wasteful number, since it uses less digits than its factorization.

14427650340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905978 (or 8905967 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 14427650340 in words is "fourteen billion, four hundred twenty-seven million, six hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8905957 17811914 26717871 35623828 44529785 53435742 80153613 89059570 106871484 133589355 160307226 178119140 240460839 267178710 320614452 400768065 480921678 534357420 721382517 801536130 961843356 1202304195 1442765034 1603072260 2404608390 2885530068 3606912585 4809216780 7213825170 14427650340