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14280008241 = 315157155207
BaseRepresentation
bin11010100110010011…
…11010001000110001
31100212012100120200010
431103021322020301
5213221140230431
610320554045133
71013605032042
oct152311721061
940765316603
1014280008241
116068768604
1229264197a9
13146762a225
149967648c9
155889e3846
hex35327a231

14280008241 has 16 divisors (see below), whose sum is σ = 19200017408. Its totient is φ = 9440226000.

The previous prime is 14280008189. The next prime is 14280008257.

14280008241 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14280008241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14280008199 and 14280008208.

It is not an unprimeable number, because it can be changed into a prime (14280008441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231060 + ... + 286266.

It is an arithmetic number, because the mean of its divisors is an integer number (1200001088).

Almost surely, 214280008241 is an apocalyptic number.

It is an amenable number.

14280008241 is a deficient number, since it is larger than the sum of its proper divisors (4920009167).

14280008241 is a wasteful number, since it uses less digits than its factorization.

14280008241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55932.

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 14280008241 in words is "fourteen billion, two hundred eighty million, eight thousand, two hundred forty-one".

Divisors: 1 3 151 453 571 1713 55207 86221 165621 258663 8336257 25008771 31523197 94569591 4760002747 14280008241