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14027993640 = 2333512988883
BaseRepresentation
bin11010001000010001…
…00011001000101000
31100012122010220122000
431010020203020220
5212212131244030
610235552331000
71004424656433
oct150410431050
940178126560
1014027993640
115a49489281
122875b43a60
13142736086b
149710c281a
15571812860
hex344223228

14027993640 has 64 divisors (see below), whose sum is σ = 46759982400. Its totient is φ = 3740798016.

The previous prime is 14027993633. The next prime is 14027993647. The reversal of 14027993640 is 4639972041.

It is a happy number.

14027993640 is a `hidden beast` number, since 14 + 0 + 279 + 9 + 364 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14027993633) and next prime (14027993647).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14027993647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6493362 + ... + 6495521.

It is an arithmetic number, because the mean of its divisors is an integer number (730624725).

Almost surely, 214027993640 is an apocalyptic number.

14027993640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14027993640 is an abundant number, since it is smaller than the sum of its proper divisors (32731988760).

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

14027993640 is a wasteful number, since it uses less digits than its factorization.

14027993640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988903 (or 12988893 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 14027993640 in words is "fourteen billion, twenty-seven million, nine hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 12988883 25977766 38966649 51955532 64944415 77933298 103911064 116899947 129888830 155866596 194833245 233799894 259777660 311733192 350699841 389666490 467599788 519555320 584499735 701399682 779332980 935199576 1168999470 1402799364 1558665960 1753499205 2337998940 2805598728 3506998410 4675997880 7013996820 14027993640