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14417871441 = 319412150473
BaseRepresentation
bin11010110110101111…
…10100001001010001
31101012210202202102120
431123113310021101
5214011433341231
610342401004453
71020200612421
oct153327641121
941183682376
1014417871441
116129570236
122964623729
13148a069a9c
149aabb0481
15595b76d96
hex35b5f4251

14417871441 has 24 divisors (see below), whose sum is σ = 20741336160. Its totient is φ = 8883866880.

The previous prime is 14417871409. The next prime is 14417871443.

It is a happy number.

14417871441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14417871441 - 25 = 14417871409 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14417871393 and 14417871402.

It is not an unprimeable number, because it can be changed into a prime (14417871443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20581 + ... + 171053.

It is an arithmetic number, because the mean of its divisors is an integer number (864222340).

Almost surely, 214417871441 is an apocalyptic number.

It is an amenable number.

14417871441 is a deficient number, since it is larger than the sum of its proper divisors (6323464719).

14417871441 is a wasteful number, since it uses less digits than its factorization.

14417871441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150577 (or 150536 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The spelling of 14417871441 in words is "fourteen billion, four hundred seventeen million, eight hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 3 19 41 57 123 779 1681 2337 5043 31939 95817 150473 451419 2858987 6169393 8576961 18508179 117218467 252945113 351655401 758835339 4805957147 14417871441