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4004242441 = 173139719139
BaseRepresentation
bin1110111010101011…
…1110010000001001
3101100001200120222121
43232222332100021
531200041224231
61501200451241
7201141333133
oct35652762011
911301616877
104004242441
111775321681
12939019b21
134ba778734
1429db3a053
15186812311
hexeeabe409

4004242441 has 16 divisors (see below), whose sum is σ = 4387806720. Its totient is φ = 3637751040.

The previous prime is 4004242399. The next prime is 4004242447. The reversal of 4004242441 is 1442424004.

It is a cyclic number.

It is not a de Polignac number, because 4004242441 - 27 = 4004242313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004242447) 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, 199650 + ... + 218788.

It is an arithmetic number, because the mean of its divisors is an integer number (274237920).

Almost surely, 24004242441 is an apocalyptic number.

It is an amenable number.

4004242441 is a deficient number, since it is larger than the sum of its proper divisors (383564279).

4004242441 is a wasteful number, since it uses less digits than its factorization.

4004242441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584.

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4004242441 is about 63279.0837560090. The cubic root of 4004242441 is about 1587.9620582874.

Adding to 4004242441 its reverse (1442424004), we get a palindrome (5446666445).

The spelling of 4004242441 in words is "four billion, four million, two hundred forty-two thousand, four hundred forty-one".

Divisors: 1 17 31 397 527 6749 12307 19139 209219 325363 593309 7598183 10086253 129169111 235543673 4004242441