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14022635040 = 253259737941
BaseRepresentation
bin11010000111101000…
…00110111000100000
31100012021001200000100
431003310012320200
5212204243310130
610235241422400
71004331300621
oct150364067040
940167050010
1014022635040
115a46459287
12287419aa00
1314262057ab
149704c9a48
15571104c60
hex343d06e20

14022635040 has 72 divisors (see below), whose sum is σ = 47852246988. Its totient is φ = 3739368960.

The previous prime is 14022635021. The next prime is 14022635051. The reversal of 14022635040 is 4053622041.

14022635040 is a `hidden beast` number, since 1 + 4 + 0 + 22 + 635 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13889093904 + 133541136 = 117852^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 14022634995 and 14022635013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4867531 + ... + 4870410.

Almost surely, 214022635040 is an apocalyptic number.

14022635040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022635040 is an abundant number, since it is smaller than the sum of its proper divisors (33829611948).

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

14022635040 is a wasteful number, since it uses less digits than its factorization.

14022635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9737962 (or 9737951 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14022635040 in words is "fourteen billion, twenty-two million, six hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9737941 19475882 29213823 38951764 48689705 58427646 77903528 87641469 97379410 116855292 146069115 155807056 175282938 194758820 233710584 292138230 311614112 350565876 389517640 438207345 467421168 584276460 701131752 779035280 876414690 934842336 1168552920 1402263504 1558070560 1752829380 2337105840 2804527008 3505658760 4674211680 7011317520 14022635040