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4042013331 = 34132861897
BaseRepresentation
bin1111000011101100…
…0011101010010011
3101102200202112220110
43300323003222103
531234223411311
61505030212403
7202110355266
oct36073035223
911380675813
104042013331
11179467a494
129497b4103
134c5541785
142a4b6ccdd
15189cc38a6
hexf0ec3a93

4042013331 has 8 divisors (see below), whose sum is σ = 5520798864. Its totient is φ = 2628951680.

The previous prime is 4042013329. The next prime is 4042013341. The reversal of 4042013331 is 1333102404.

4042013331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 4042013331 - 21 = 4042013329 is a prime.

It is a super-2 number, since 2×40420133312 = 32675743535963431122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042013298 and 4042013307.

It is not an unprimeable number, because it can be changed into a prime (4042013341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16430826 + ... + 16431071.

It is an arithmetic number, because the mean of its divisors is an integer number (690099858).

Almost surely, 24042013331 is an apocalyptic number.

4042013331 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4042013331 is a deficient number, since it is larger than the sum of its proper divisors (1478785533).

4042013331 is a wasteful number, since it uses less digits than its factorization.

4042013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32861941.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4042013331 is about 63576.8301427493. The cubic root of 4042013331 is about 1592.9393738634.

Adding to 4042013331 its reverse (1333102404), we get a palindrome (5375115735).

The spelling of 4042013331 in words is "four billion, forty-two million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 41 123 32861897 98585691 1347337777 4042013331