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4042334004 = 2231034332569
BaseRepresentation
bin1111000011110001…
…0001111100110100
3101102201100211210020
43300330101330310
531234314142004
61505041125140
7202113162222
oct36074217464
911381324706
104042334004
111794879405
129499297b0
134c5624717
142a4c13b12
15189d388d9
hexf0f11f34

4042334004 has 24 divisors (see below), whose sum is σ = 9433314240. Its totient is φ = 1347273024.

The previous prime is 4042334003. The next prime is 4042334017. The reversal of 4042334004 is 4004332404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042334003) 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, 107832 + ... + 140400.

It is an arithmetic number, because the mean of its divisors is an integer number (393054760).

Almost surely, 24042334004 is an apocalyptic number.

It is an amenable number.

4042334004 is an abundant number, since it is smaller than the sum of its proper divisors (5390980236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042334004 is a wasteful number, since it uses less digits than its factorization.

4042334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42919 (or 42917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4042334004 is about 63579.3520256380. The cubic root of 4042334004 is about 1592.9814980144.

Adding to 4042334004 its reverse (4004332404), we get a palindrome (8046666408).

The spelling of 4042334004 in words is "four billion, forty-two million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 10343 20686 31029 32569 41372 62058 65138 97707 124116 130276 195414 390828 336861167 673722334 1010583501 1347444668 2021167002 4042334004