45 (number) Totally Explained

Everything about Xlv totally explained

45 (forty-five) is the natural number following 44 and followed by 46.


Cardinal	45 forty-five
Ordinal	45th forty-fifth
Factorization	$3^2 cdot 5$
Divisors	1, 3, 5, 9, 15, 45
Roman numeral	XLV
Binary	101101
Hexadecimal	2D

In mathematics

Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number.
   45 is the sixth positive integer with a prime factorization of the form p²q, with p and q being prime.
   33 is the aliquot sum of 45 and the aliquot sequence of 45 is (45,33,15,9,4,3,1,0).
   Since the greatest prime factor of 45² + 1 = 2026 is 1013, which is clearly more than 45 twice, 45 is a Størmer number.

In science

The atomic number of rhodium

Astronomy

Messier object M45, a magnitude 1.4 open cluster in the constellation Taurus, also known as the Pleiades

The New General Catalogue object NGC 45, a magnitude 10.6 spiral galaxy in the constellation Cetus

The Saros number of the solar eclipse series which began on -1436 March 30 and ended on -156 May 7. The duration of Saros series 45 was 1280.1 years, and it contained 72 solar eclipses.

The Saros number of the lunar eclipse series which began on -1369 August 19 and ended on 182 March 8. The duration of Saros series 45 was 1550.6 years, and it contained 87 lunar eclipses.

In music

A type of gramophone record classified by its revolution speed of 45 revolutions per minute (rpm)

Included in the title of "45 and Fat", a 1996 song by Babybird

The title of a 2002 song by Elvis Costello, "45", both referring to the 45 rpm singles and to the artist's age when he wrote the song, which was released when he was 47

The title of a 2003 song by Shinedown, "45" see 45 (song)

The title of a 2006 song by noodles, "45"

The title of a 2007 song by Ryan Shaw, "Do the 45"

The title of a 2007 song by The Saturday Knights, "45"

The title of a 1982 album by Kino

Repeated continuously in the 1997 song Brimful of Asha by Cornershop

In other fields

Forty-five may also refer to:

In years of marriage, the sapphire wedding anniversary.

A card game: Forty-five

I-45 is the designation for a US interstate highway in Texas

The '45 refers to the 1745 Jacobite Rising in Great Britain

45 (book), a book of essays by record producer Bill Drummond, derived both from the speed of a pop single and from his age when he finished writing it

Guns or ammunition of .45 Caliber

.45 (film), a 2006 motion picture.

+45 is the telephony dialling code for Denmark

Historical years

45 A.D., 45 B.C., 1945, 2045, etc.

Further Information

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