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4142004217 = 131618919681
BaseRepresentation
bin1111011011100001…
…1111011111111001
3101200122220121121121
43312320133133321
531440323113332
61523001305241
7204433312021
oct36670373771
911618817547
104142004217
11183606508a
12977195221
13510181090
142b415aa81
15193975797
hexf6e1f7f9

4142004217 has 8 divisors (see below), whose sum is σ = 4461122120. Its totient is φ = 3822958080.

The previous prime is 4142004211. The next prime is 4142004221. The reversal of 4142004217 is 7124002414.

It can be written as a sum of positive squares in 4 ways, for example, as 1003875856 + 3138128361 = 31684^2 + 56019^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4142004217 - 27 = 4142004089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4142004191 and 4142004200.

It is not an unprimeable number, because it can be changed into a prime (4142004211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200617 + ... + 220297.

It is an arithmetic number, because the mean of its divisors is an integer number (557640265).

Almost surely, 24142004217 is an apocalyptic number.

It is an amenable number.

4142004217 is a deficient number, since it is larger than the sum of its proper divisors (319117903).

4142004217 is a wasteful number, since it uses less digits than its factorization.

4142004217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35883.

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 4142004217 is about 64358.4044006686. The cubic root of 4142004217 is about 1605.9678452610.

The spelling of 4142004217 in words is "four billion, one hundred forty-two million, four thousand, two hundred seventeen".

Divisors: 1 13 16189 19681 210457 255853 318615709 4142004217