44 (number)

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44
Cardinal forty-four
Ordinal 44th
(forty-fourth)
Factorization  2^2 \cdot 11
Divisors 1, 2, 4, 11, 22, 44
Roman numeral XLIV
Binary 1011002
Octal 548
Duodecimal 3812
Hexadecimal 2C16

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

Contents

[edit] In mathematics

Forty-four is a tribonacci number, a happy number, an octahedral number and a palindromic number.

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

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

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

44 is the number of derangements of 5 items.

[edit] In science

[edit] Astronomy

  • The Saros number of the solar eclipse series which began on April 30, 1448 BC and ended on June 7, 168 BC . The duration of Saros series 44 was 1280.1 years, and it contained 72 solar eclipses.
  • The Saros number of the lunar eclipse series which began on October 1, 1363 BC and ended on March 27, 153 . The duration of Saros series 44 was 1514.5 years, and it contained 85 lunar eclipses.

[edit] In sports

[edit] In other fields

Forty-four is:

[edit] Historical years

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

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