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4004444301 = 311213848579
BaseRepresentation
bin1110111010101110…
…1111100010001101
3101100002001211212220
43232223233202031
531200114204201
61501205045553
7201143133504
oct35653574215
911302054786
104004444301
11177544a300
129390b68b9
134ba819590
1429db8d83b
15186852036
hexeeaef88d

4004444301 has 24 divisors (see below), whose sum is σ = 6320223840. Its totient is φ = 2240245920.

The previous prime is 4004444221. The next prime is 4004444317. The reversal of 4004444301 is 1034444004.

It is not a de Polignac number, because 4004444301 - 27 = 4004444173 is a prime.

It is a super-2 number, since 2×40044443012 = 32071148319622757202, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004444341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419571 + ... + 429008.

It is an arithmetic number, because the mean of its divisors is an integer number (263342660).

Almost surely, 24004444301 is an apocalyptic number.

It is an amenable number.

4004444301 is a deficient number, since it is larger than the sum of its proper divisors (2315779539).

4004444301 is a wasteful number, since it uses less digits than its factorization.

4004444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848617 (or 848606 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4004444301 is about 63280.6787337178. The cubic root of 4004444301 is about 1587.9887417063.

Adding to 4004444301 its reverse (1034444004), we get a palindrome (5038888305).

The spelling of 4004444301 in words is "four billion, four million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 848579 2545737 9334369 11031527 28003107 33094581 102678059 121346797 308034177 364040391 1334814767 4004444301