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14286703729 = 172792892
BaseRepresentation
bin11010100111000110…
…11100110001110001
31100212122221202011011
431103203130301301
5213224344004404
610321353350521
71014015656314
oct152343346161
940778852134
1014286703729
116071520a71
122928708441
131468b3295c
149975c897b
155893b7604
hex3538dcc71

14286703729 has 27 divisors (see below), whose sum is σ = 15545722017. Its totient is φ = 13126933248.

The previous prime is 14286703723. The next prime is 14286703747. The reversal of 14286703729 is 92730768241.

It is a happy number.

The square root of 14286703729 is 119527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18879025 + 14267824704 = 4345^2 + 119448^2 .

It is not a de Polignac number, because 14286703729 - 23 = 14286703721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14286703721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160524717 + ... + 160524805.

Almost surely, 214286703729 is an apocalyptic number.

14286703729 is the 119527-th square number.

14286703729 is the 59764-th centered octagonal number.

It is an amenable number.

14286703729 is a deficient number, since it is larger than the sum of its proper divisors (1259018288).

14286703729 is an frugal number, since it uses more digits than its factorization.

14286703729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 14286703729 by its sum of digits (49), we get a square (700048482721 = 8366892).

The spelling of 14286703729 in words is "fourteen billion, two hundred eighty-six million, seven hundred three thousand, seven hundred twenty-nine".

Divisors: 1 17 79 89 289 1343 1513 6241 7031 7921 22831 25721 106097 119527 134657 555449 625759 1803649 2031959 2289169 9442633 10637903 49434961 160524761 180844351 840394337 14286703729