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4004421444 = 2232244145569
BaseRepresentation
bin1110111010101110…
…1001111101000100
3101100002000200112100
43232223221331010
531200112441234
61501204352100
7201143010042
oct35653517504
911302020470
104004421444
111775434111
129390a5630
134ba80c05a
1429db85392
1518684a399
hexeeae9f44

4004421444 has 36 divisors (see below), whose sum is σ = 10126656540. Its totient is φ = 1334231040.

The previous prime is 4004421439. The next prime is 4004421461. The reversal of 4004421444 is 4441244004.

4004421444 is a `hidden beast` number, since 400 + 4 + 4 + 214 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2165040900 + 1839380544 = 46530^2 + 42888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40044214442 = 32070782202334090272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65092 + ... + 110660.

It is an arithmetic number, because the mean of its divisors is an integer number (281296015).

Almost surely, 24004421444 is an apocalyptic number.

It is an amenable number.

4004421444 is an abundant number, since it is smaller than the sum of its proper divisors (6122235096).

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

4004421444 is a wasteful number, since it uses less digits than its factorization.

4004421444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48020 (or 48015 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4004421444 is about 63280.4981333112. The cubic root of 4004421444 is about 1587.9857203360.

Adding to 4004421444 its reverse (4441244004), we get a palindrome (8445665448).

The spelling of 4004421444 in words is "four billion, four million, four hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2441 4882 7323 9764 14646 21969 29292 43938 45569 87876 91138 136707 182276 273414 410121 546828 820242 1640484 111233929 222467858 333701787 444935716 667403574 1001105361 1334807148 2002210722 4004421444