145 (number)

	[[{{#expr: (floor({{{number}}} div {{{factor}}})) * {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}}}}]] [[{{#expr: (floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}{{{factor}}} div 10)}} (number)\|{{#switch:{{{1}}}\|-1={{#ifexpr:(floor({{{number}}} div 10)) = 0\|-1\|←}}\|10=→\|#default={{#expr:(floor({{{number}}} div {{{factor}}})) {{{factor}}}+({{{1}}}*{{{factor}}} div 10)}}}}]] List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred forty-five
Ordinal	145th; (one hundred forty-fifth)
Factorization	5 × 29
Divisors	1, 5, 29, 145
Greek numeral	ΡΜΕ´
Roman numeral	CXLV
Binary	100100012
Ternary	121013
Quaternary	21014
Quinary	10405
Senary	4016
Octal	2218
Duodecimal	10112
Hexadecimal	9116
Vigesimal	7520
Base 36	4136

145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.

In mathematics

Although composite, 145 is a pseudoprime.
Given 145, the Mertens function returns 0.^[1]
145 is a pentagonal number^[2] and a centered square number.^[3]
$145=12^{2}+1^{2}=8^{2}+9^{2}$ . 145 is the fourth number that is the sum of two different pairs of squares. Also, 145 is the result of 3⁴ + 4³, making it a Leyland number.
$145=1!+4!+5!$ , making it a factorion.^[4] The only other numbers that have the property that they are the sum of the factorials of their digits are 1, 2 and 40585.^[4]

In the military

USS Armada (AM-145) was a United States Navy Admirable-class minesweeper during World War II
USS Colbert (APA-145) was a United States Navy Haskell-class attack transport during World War II
USS General Harry Taylor (AP-145) was a United States Navy General G. O. Squier-class transport ship during World War II
USS Greer (DD-145) was a United States Navy Wickes-class destroyer during World War II
USS Huse (DE-145) was a United States Navy Edsall-class destroyer escort during World War II
USS Roanoke (CL-145) was a United States Navy cruiser following World War II

In sports

The Grand Union Canal Race is a 145-mile ultramarathon from Birmingham to London along the Grand Union Canal

In transportation

Eurocopter EC 145 is a twin-engine light utility helicopter
The Delahaye 145 Sports Car from 1938
The Alfa Romeo 145 car produced between 1994 and 2001
Volvo 145 Express station wagon
ERJ 145 regional jets produced by Embraer
Golden Gate Transit Bus Route 145
London Bus Route 145

In other fields

145 is also:

The year AD 145 or 145 BC
145 AH is a year in the Islamic calendar that corresponds to 762 – 763 CE
145 Adeona is a large Main belt asteroid
Psalm 145
Sonnet 145
Apple Computer laptops, such as the PowerBook 145 and PowerBook 145B
Puff Daddy song “Picture it” includes the lyrics “in something foreign soarin’ 145”
Tsuu T'ina Nation 145 Indian reserve in Alberta, Canada
145 mg medicine tablets, as with Tricor
"One Four Five" is a song by The Cat Empire

References

Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140

↑ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
↑ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
↑ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
1 2 "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

External links

The Natural Number 145
Parker, Matt. "145 and the Melancoil". Numberphile. Brady Haran.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

[2] "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

[3] "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.

[:0-4] 1 2 "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.