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4032224313 = 3131011139059
BaseRepresentation
bin1111000001010110…
…1101110000111001
3101102000100012220020
43300111231300321
531224222134223
61504040321053
7201631225005
oct36025556071
911360305806
104032224313
11178a0a3897
12946473189
134c34c4c60
142a3741705
15188edd1e3
hexf056dc39

4032224313 has 32 divisors (see below), whose sum is σ = 5899582080. Its totient is φ = 2434790400.

The previous prime is 4032224309. The next prime is 4032224353. The reversal of 4032224313 is 3134222304.

It is not a de Polignac number, because 4032224313 - 22 = 4032224309 is a prime.

It is a super-3 number, since 3×40322243133 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4032224303) 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 31 ways as a sum of consecutive naturals, for example, 440578 + ... + 449636.

It is an arithmetic number, because the mean of its divisors is an integer number (184361940).

Almost surely, 24032224313 is an apocalyptic number.

It is an amenable number.

4032224313 is a deficient number, since it is larger than the sum of its proper divisors (1867357767).

4032224313 is a wasteful number, since it uses less digits than its factorization.

4032224313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4032224313 is about 63499.7977398354. The cubic root of 4032224313 is about 1591.6523982944.

Adding to 4032224313 its reverse (3134222304), we get a palindrome (7166446617).

The spelling of 4032224313 in words is "four billion, thirty-two million, two hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 13 39 101 113 303 339 1313 1469 3939 4407 9059 11413 27177 34239 117767 148369 353301 445107 914959 1023667 2744877 3071001 11894467 13307671 35683401 39923013 103390367 310171101 1344074771 4032224313