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4042513413 = 34229217937
BaseRepresentation
bin1111000011110011…
…1101110000000101
3101102201200221220000
43300330331300011
531234340412123
61505045031513
7202114540251
oct36074756005
911381627800
104042513413
111794991184
129499b5599
134c5688293
142a4c5d261
15189d71b43
hexf0f3dc05

4042513413 has 20 divisors (see below), whose sum is σ = 6065214540. Its totient is φ = 2683228032.

The previous prime is 4042513357. The next prime is 4042513421. The reversal of 4042513413 is 3143152404.

It is a happy number.

4042513413 is a `hidden beast` number, since 404 + 251 + 3 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1884167649 + 2158345764 = 43407^2 + 46458^2 .

It is not a de Polignac number, because 4042513413 - 213 = 4042505221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042513483) 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 19 ways as a sum of consecutive naturals, for example, 90420 + ... + 127517.

It is an arithmetic number, because the mean of its divisors is an integer number (303260727).

Almost surely, 24042513413 is an apocalyptic number.

It is an amenable number.

4042513413 is a deficient number, since it is larger than the sum of its proper divisors (2022701127).

4042513413 is a wasteful number, since it uses less digits than its factorization.

4042513413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218178 (or 218169 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4042513413 is about 63580.7629161526. The cubic root of 4042513413 is about 1593.0050645141.

Adding to 4042513413 its reverse (3143152404), we get a palindrome (7185665817).

The spelling of 4042513413 in words is "four billion, forty-two million, five hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 229 687 2061 6183 18549 217937 653811 1961433 5884299 17652897 49907573 149722719 449168157 1347504471 4042513413