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4004444801 = 77110197907
BaseRepresentation
bin1110111010101110…
…1111101010000001
3101100002001212120102
43232223233222001
531200114213201
61501205052145
7201143135120
oct35653575201
911302055512
104004444801
11177544a715
129390b7055
134ba819886
1429db8dab7
1518685226b
hexeeaefa81

4004444801 has 16 divisors (see below), whose sum is σ = 4646108160. Its totient is φ = 3380289360.

The previous prime is 4004444797. The next prime is 4004444819. The reversal of 4004444801 is 1084444004.

It is not a de Polignac number, because 4004444801 - 22 = 4004444797 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004444891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 502490 + ... + 510396.

It is an arithmetic number, because the mean of its divisors is an integer number (290381760).

Almost surely, 24004444801 is an apocalyptic number.

It is an amenable number.

4004444801 is a deficient number, since it is larger than the sum of its proper divisors (641663359).

4004444801 is a wasteful number, since it uses less digits than its factorization.

4004444801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004.

The product of its (nonzero) digits is 8192, while the sum is 29.

The square root of 4004444801 is about 63280.6826843706. The cubic root of 4004444801 is about 1587.9888077991.

Adding to 4004444801 its reverse (1084444004), we get a palindrome (5088888805).

The spelling of 4004444801 in words is "four billion, four million, four hundred forty-four thousand, eight hundred one".

Divisors: 1 7 71 497 1019 7133 7907 55349 72349 506443 561397 3929779 8057233 56400631 572063543 4004444801