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14097360228 = 22371729393359
BaseRepresentation
bin11010010000100010…
…01010010101100100
31100101110200002200220
431020101022111210
5212332411011403
610250511204340
71006226404410
oct151021122544
940343602626
1014097360228
115a84657436
1228952166b0
131438839c93
1497a3bbd40
15577965953
hex34844a564

14097360228 has 96 divisors (see below), whose sum is σ = 39829708800. Its totient is φ = 3788468736.

The previous prime is 14097360223. The next prime is 14097360239. The reversal of 14097360228 is 82206379041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14097360228.

It is not an unprimeable number, because it can be changed into a prime (14097360223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195213 + ... + 4198571.

It is an arithmetic number, because the mean of its divisors is an integer number (414892800).

Almost surely, 214097360228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14097360228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914854400).

14097360228 is an abundant number, since it is smaller than the sum of its proper divisors (25732348572).

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

14097360228 is a wasteful number, since it uses less digits than its factorization.

14097360228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

It can be divided in two parts, 1409 and 7360228, that added together give a palindrome (7361637).

The spelling of 14097360228 in words is "fourteen billion, ninety-seven million, three hundred sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2939 3359 5878 6718 8817 10077 11756 13436 17634 20154 20573 23513 35268 40308 41146 47026 49963 57103 61719 70539 82292 94052 99926 114206 123438 141078 149889 171309 199852 228412 246876 282156 299778 342618 349741 399721 599556 685236 699482 799442 1049223 1199163 1398964 1598884 2098446 2398326 4196892 4796652 9872101 19744202 29616303 39488404 59232606 69104707 118465212 138209414 167825717 207314121 276418828 335651434 414628242 503477151 671302868 829256484 1006954302 1174780019 2013908604 2349560038 3524340057 4699120076 7048680114 14097360228