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14315115140 = 2252927111987
BaseRepresentation
bin11010101010011111…
…10101001010000100
31100221122102012021122
431111033311022010
5213304132141030
610324250333112
71014512320364
oct152517651204
940848365248
1014315115140
116086566977
12293612a198
13147199c841
1499b2a29a4
1558bb2a8e5
hex3553f5284

14315115140 has 72 divisors (see below), whose sum is σ = 31575241152. Its totient is φ = 5450273920.

The previous prime is 14315115097. The next prime is 14315115163. The reversal of 14315115140 is 4151151341.

14315115140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1188227 + ... + 1200213.

It is an arithmetic number, because the mean of its divisors is an integer number (438545016).

Almost surely, 214315115140 is an apocalyptic number.

14315115140 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 14315115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787620576).

14315115140 is an abundant number, since it is smaller than the sum of its proper divisors (17260126012).

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

14315115140 is a wasteful number, since it uses less digits than its factorization.

14315115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12094 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 14315115140 its reverse (4151151341), we get a palindrome (18466266481).

The spelling of 14315115140 in words is "fourteen billion, three hundred fifteen million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 841 1420 1682 2059 3364 4118 4205 8236 8410 10295 11987 16820 20590 23974 41180 47948 59711 59935 119422 119870 238844 239740 298555 347623 597110 695246 851077 1194220 1390492 1702154 1738115 3404308 3476230 4255385 6952460 8510770 10081067 17021540 20162134 24681233 40324268 49362466 50405335 98724932 100810670 123406165 201621340 246812330 493624660 715755757 1431511514 2863023028 3578778785 7157557570 14315115140