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442241141142244 = 221131795465975443
BaseRepresentation
bin110010010001101110100101…
…0000111110111001011100100
32010222211211200111122020021211
41210203131022013313023210
5430431134324113022434
64204322435303521204
7162102603513261313
oct14443351207671344
92128754614566254
10442241141142244
11118a03461a76854
1241725367459204
1315c9c211ca56a2
147b2c82a63027a
15361da91045464
hex192374a1f72e4

442241141142244 has 24 divisors (see below), whose sum is σ = 785132712776160. Its totient is φ = 217939372823424.

The previous prime is 442241141142217. The next prime is 442241141142271.

442241141142244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (442241141142217) and next prime (442241141142271).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442241141142197 and 442241141142206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2732906814 + ... + 2733068629.

It is an arithmetic number, because the mean of its divisors is an integer number (32713863032340).

Almost surely, 2442241141142244 is an apocalyptic number.

It is an amenable number.

442241141142244 is a deficient number, since it is larger than the sum of its proper divisors (342891571633916).

442241141142244 is a wasteful number, since it uses less digits than its factorization.

442241141142244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465975739 (or 5465975737 counting only the distinct ones).

The product of its digits is 262144, while the sum is 40.

The spelling of 442241141142244 in words is "four hundred forty-two trillion, two hundred forty-one billion, one hundred forty-one million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 113 179 226 358 452 716 20227 40454 80908 5465975443 10931950886 21863901772 617655225059 978409604297 1235310450118 1956819208594 2470620900236 3913638417188 110560285285561 221120570571122 442241141142244