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14143667140 = 22517295692521
BaseRepresentation
bin11010010110000011…
…10011101111000100
31100111200210201211201
431023001303233010
5212431234322030
610255243512244
71010331121111
oct151301635704
940450721751
1014143667140
115aa8805509
1228a8828684
131445301415
149825d3908
1557ba612ca
hex34b073bc4

14143667140 has 96 divisors (see below), whose sum is σ = 32603407200. Its totient is φ = 5129994240.

The previous prime is 14143667129. The next prime is 14143667143. The reversal of 14143667140 is 4176634141.

14143667140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 8207272836 + 5936394304 = 90594^2 + 77048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14143667140.

It is not an unprimeable number, because it can be changed into a prime (14143667143) by changing a digit.

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, 5609080 + ... + 5611600.

It is an arithmetic number, because the mean of its divisors is an integer number (339618825).

Almost surely, 214143667140 is an apocalyptic number.

14143667140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14143667140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301703600).

14143667140 is an abundant number, since it is smaller than the sum of its proper divisors (18459740060).

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

14143667140 is a wasteful number, since it uses less digits than its factorization.

14143667140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 14143667140 in words is "fourteen billion, one hundred forty-three million, six hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 569 580 986 1138 1972 2276 2465 2521 2845 4930 5042 5690 9673 9860 10084 11380 12605 16501 19346 25210 33002 38692 42857 48365 50420 66004 73109 82505 85714 96730 146218 165010 171428 193460 214285 280517 292436 330020 365545 428570 561034 731090 857140 1122068 1242853 1402585 1434449 1462180 2485706 2805170 2868898 4971412 5610340 5737796 6214265 7172245 12428530 14344490 24385633 24857060 28688980 41599021 48771266 83198042 97542532 121928165 166396084 207995105 243856330 415990210 487712660 707183357 831980420 1414366714 2828733428 3535916785 7071833570 14143667140