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14258028240 = 243452200313
BaseRepresentation
bin11010100011101100…
…00011111011010000
31100210122222212210000
431101312003323100
5213200023400430
610314451010000
71013220145311
oct152166037320
940718885700
1014258028240
116057315715
12291ab99900
131462c02801
14993882608
15586b00e60
hex351d83ed0

14258028240 has 100 divisors (see below), whose sum is σ = 49520266884. Its totient is φ = 3802139136.

The previous prime is 14258028221. The next prime is 14258028251. The reversal of 14258028240 is 4282085241.

14258028240 is a `hidden beast` number, since 14 + 2 + 580 + 28 + 2 + 40 = 666.

14258028240 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 2 ways, for example, as 11156429376 + 3101598864 = 105624^2 + 55692^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 14258028195 and 14258028204.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1093677 + ... + 1106636.

Almost surely, 214258028240 is an apocalyptic number.

14258028240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14258028240 is an abundant number, since it is smaller than the sum of its proper divisors (35262238644).

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

14258028240 is a wasteful number, since it uses less digits than its factorization.

14258028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200338 (or 2200323 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

It can be divided in two parts, 142580 and 28240, that added together give a triangular number (170820 = T584).

The spelling of 14258028240 in words is "fourteen billion, two hundred fifty-eight million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 2200313 4400626 6600939 8801252 11001565 13201878 17602504 19802817 22003130 26403756 33004695 35205008 39605634 44006260 52807512 59408451 66009390 79211268 88012520 99014085 105615024 118816902 132018780 158422536 176025040 178225353 198028170 237633804 264037560 297042255 316845072 356450706 396056340 475267608 528075120 594084510 712901412 792112680 891126765 950535216 1188169020 1425802824 1584225360 1782253530 2376338040 2851605648 3564507060 4752676080 7129014120 14258028240