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4142002241 = 132137178897
BaseRepresentation
bin1111011011100001…
…1111000001000001
3101200122220111220102
43312320133001001
531440323032431
61523001252145
7204433303166
oct36670370101
911618814812
104142002241
111836063653
12977194055
13510180200
142b415a06d
15193974dcb
hexf6e1f041

4142002241 has 12 divisors (see below), whose sum is σ = 4517890092. Its totient is φ = 3795457536.

The previous prime is 4142002217. The next prime is 4142002279. The reversal of 4142002241 is 1422002414.

4142002241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1116562225 + 3025440016 = 33415^2 + 55004^2 .

It is not a de Polignac number, because 4142002241 - 210 = 4142001217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142002741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66296 + ... + 112601.

It is an arithmetic number, because the mean of its divisors is an integer number (376490841).

Almost surely, 24142002241 is an apocalyptic number.

It is an amenable number.

4142002241 is a deficient number, since it is larger than the sum of its proper divisors (375887851).

4142002241 is a wasteful number, since it uses less digits than its factorization.

4142002241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179060 (or 179047 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4142002241 is about 64358.3890491364. The cubic root of 4142002241 is about 1605.9675898779.

Adding to 4142002241 its reverse (1422002414), we get a palindrome (5564004655).

The spelling of 4142002241 in words is "four billion, one hundred forty-two million, two thousand, two hundred forty-one".

Divisors: 1 13 137 169 1781 23153 178897 2325661 24508889 30233593 318615557 4142002241