# 44 (number)

 ← 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
Vigesimal 2420
Base 36 1836

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

## In mathematics

Forty-four is a tribonacci number, an octahedral number and the number of derangements of 5 items.

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, $\varphi(44)=20$ and $\varphi(69)=44.$

In decimal notation (base 10), 44 is a palindromic number and a happy number,

## In science

### 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.

## In other fields

Forty-four is:

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

## Historical years

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