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14143828140 = 22325136044371
BaseRepresentation
bin11010010110000100…
…11011000010101100
31100111201002220200200
431023002123002230
5212431310000030
610255251153500
71010332361361
oct151302330254
940451086620
1014143828140
115aa8905472
1228a88a5890
1314453597a0
14982636468
1557ba93d60
hex34b09b0ac

14143828140 has 72 divisors (see below), whose sum is σ = 46203179568. Its totient is φ = 3481557120.

The previous prime is 14143828123. The next prime is 14143828187. The reversal of 14143828140 is 4182834141.

It is a happy number.

14143828140 is a `hidden beast` number, since 141 + 438 + 2 + 81 + 4 + 0 = 666.

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 = 14143828095 and 14143828104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3019846 + ... + 3024525.

Almost surely, 214143828140 is an apocalyptic number.

14143828140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14143828140 is an abundant number, since it is smaller than the sum of its proper divisors (32059351428).

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

14143828140 is a wasteful number, since it uses less digits than its factorization.

14143828140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044399 (or 6044394 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14143828140 in words is "fourteen billion, one hundred forty-three million, eight hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6044371 12088742 18133113 24177484 30221855 36266226 54399339 60443710 72532452 78576823 90665565 108798678 120887420 157153646 181331130 217597356 235730469 271996695 314307292 362662260 392884115 471460938 543993390 707191407 785768230 942921876 1087986780 1178652345 1414382814 1571536460 2357304690 2828765628 3535957035 4714609380 7071914070 14143828140