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4042313231 = 113114979559
BaseRepresentation
bin1111000011110000…
…1100111000001111
3101102201022210021212
43300330030320033
531234313010411
61505040445035
7202113044525
oct36074147017
911381283255
104042313231
111794864840
1294991977b
134c5618128
142a4c0a315
15189d3268b
hexf0f0ce0f

4042313231 has 16 divisors (see below), whose sum is σ = 4582656000. Its totient is φ = 3532375200.

The previous prime is 4042313207. The next prime is 4042313237. The reversal of 4042313231 is 1323132404.

It is a cyclic number.

It is not a de Polignac number, because 4042313231 - 26 = 4042313167 is a prime.

It is a super-2 number, since 2×40423132312 = 32680592515035318722, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4042313197 and 4042313206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042313237) 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 15 ways as a sum of consecutive naturals, for example, 11030 + ... + 90588.

It is an arithmetic number, because the mean of its divisors is an integer number (286416000).

Almost surely, 24042313231 is an apocalyptic number.

4042313231 is a deficient number, since it is larger than the sum of its proper divisors (540342769).

4042313231 is a wasteful number, since it uses less digits than its factorization.

4042313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79750.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4042313231 is about 63579.1886626434. The cubic root of 4042313231 is about 1592.9787693052.

Adding to 4042313231 its reverse (1323132404), we get a palindrome (5365445635).

The spelling of 4042313231 in words is "four billion, forty-two million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 11 31 149 341 1639 4619 50809 79559 875149 2466329 11854291 27129619 130397201 367483021 4042313231