44 (number)

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← 43 44 45 →
Cardinal forty-four
Ordinal 44th
(forty-fourth)
Factorization 22× 11
Divisors 1, 2, 4, 11, 22, 44
Roman numeral XLIV
Binary 1011002
Ternary 11223
Quaternary 2304
Quinary 1345
Senary 1126
Octal 548
Duodecimal 3812
Hexadecimal 2C16
Vigesimal 2420
Base 36 1836

44 (forty-four) is the natural number following 43 and preceding 45.

In mathematics[edit]

Forty-four is a tribonacci number,[1] an octahedral number[2] and the number of derangements of 5 items.[3]

Since the greatest prime factor of 442 + 1 = 1937 is 149 and thus more than 44 twice, 44 is a Størmer number.[4]

The aliquot sequence of 44 is (44,40,50,43,1,0).

Given Euler's totient function, φ(44) = 20 and φ(69) = 44.

In decimal notation (base 10), 44 is a palindromic number and a happy number.[5]

In science[edit]

Astronomy[edit]

In technology[edit]

In sports[edit]

In other fields[edit]

Forty-four is:

Born from a foreign mother, his blood of ancient heroes,
And his name will be forty and four.

Historical years[edit]

44 A.D., 44 B.C., 1944, 2044, etc.

See also[edit]

References[edit]

  1. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  2. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  3. ^ "Sloane's A000166 : Subfactorial or rencontres numbers, or derangements". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  4. ^ "Sloane's A005528 : Størmer numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30. 
  5. ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.