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14283838241 = 7379101137179
BaseRepresentation
bin11010100110110001…
…00001001100100001
31100212110120011102222
431103120201030201
5213223130310431
610321212120425
71013652423161
oct152330411441
940773504388
1014283838241
11606a9440a2
122927766115
13146836b5ba
149970805a1
15588eed57b
hex353621321

14283838241 has 32 divisors (see below), whose sum is σ = 14999385600. Its totient is φ = 13595212800.

The previous prime is 14283838229. The next prime is 14283838249.

14283838241 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14283838241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14283838192 and 14283838201.

It is not an unprimeable number, because it can be changed into a prime (14283838249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79797890 + ... + 79798068.

It is an arithmetic number, because the mean of its divisors is an integer number (468730800).

Almost surely, 214283838241 is an apocalyptic number.

It is an amenable number.

14283838241 is a deficient number, since it is larger than the sum of its proper divisors (715547359).

14283838241 is a wasteful number, since it uses less digits than its factorization.

14283838241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569.

The product of its digits is 294912, while the sum is 44.

The spelling of 14283838241 in words is "fourteen billion, two hundred eighty-three million, eight hundred thirty-eight thousand, two hundred forty-one".

Divisors: 1 73 79 101 137 179 5767 7373 7979 10001 10823 13067 13837 14141 18079 24523 582467 790079 1010101 1032293 1093123 1319767 1428241 1790179 1937317 2476823 79797979 104261593 141424141 180808079 195669017 14283838241