Number 45

A page of the Numeropedia - the Special Encyclopedia of Numbers

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[Calendar]  The year 45 B.C. was first leap year in the Julian calendar, first decreed by Julius Caesar in 46 B.C. to reform the Roman calendar.

 

[Chemistry]  The atomic number of Rhodium (Rh).

 

[History]  Utah became the 45th state of the U.S. on 4 January 1896.

 

[Math.]  The angles adjacent to the hypotenuse in a right triangle, whose 2 other sides are of equal length, are 45o.

 

[Math.]  sin(90o) = cos(0o) = tan(45o) = tan(225o) = cot(45o) = cot(225o) = cosh(0) = 1.

 

[Math.]  A triangular number (sum of all integers from 1 to 9): 45 = 1+2+3+4+5+6+7+8+9.

 

[Math.]  452 = 2,025 and if all digits are incremented (except the exponent) by 1, the equality becomes: 562 = 3,136.

 

[Math.]  0198×45 = 8910.

 

[Math.]  452 = 2025 = (20+25)2

453 = 91,125 = (09+11+25)3

454 = 4,100,625 = (04+10+06+25)4

456 = 8,303,765,625 = (8+3+0+3+7+6+5+6+2+5)6

455 = 184,528,125 = (1+8+4+5+2+8+12+5)5.

 

[Math.]  (Sequence of numbers 49…950…0 and 50…050…0).

2025 = (20+25)2 = 452 and 3025 = (30+25)2 = 552 and 45+55 = 100.

 

[Math.]

987,654,321×09 = 08,888,888,889

987,654,321×18 = 17,777,777,778

987,654,321×27 = 26,666,666,667

987,654,321×36 = 35,555,555,556

987,654,321×45 = 44,444,444,445

987,654,321×54 = 53,333,333,334

987,654,321×63 = 62,222,222,223

987,654,321×72 = 71,111,111,112

987,654,321×81 = 80,000,000,001.

 

[Measure]  1 bolt (fabric) = 32 ells = 40 yards = 1440 inches,

1 ell = 1.25 yards = 3.75 feet = 45 inches = 60 digits = 1143 mm.

 

[Phone]  International telephone dialing code for Denmark.

 

[Science]  The number 1045 is quattuordecillion, in American system. In British system, quattuordecillion is 1084.

 

[Sport]  The regular time (minutes) for an official match of soccer game: two 45-minute halves.

 

[Tech.]  The “number system” code of an EAN-13 barcode for Japan’s products: 45 and 49.

 

[Tech.]  The popular Alkaline-Manganese battery voltages for household electronic devices: 1.5V – 3V – 4.5V – 6V – 9V, available in popular sizes: AAA, AA, C, D, G and N. The Carbon-Zinc batteries have additional values: 12V – 22.5V – 45V and 90V. Other values: PP3 – 1.2V – 3.6V – 4.8V – 8.4V for Ni-Cad rechargeables.

 

[Trivia]  The 45th wedding anniversary is traditionally/modernly named sapphire anniversary.

 

[Trivia]  Popular U.S. city street speed limits: 15, 25, 30, 35, 40, 45 or 50 miles/hour.

 

45.93

[Sport]  The maximum weight of a golf ball: 45.93 grams.

 

42 & 45

[History]  The 42nd U.S. President: William Jefferson Clinton (Democrat, Arkansas, 1993-2001). 

His Vice President, Albert Arnold “Al” Gore, Jr. (Tennessee), was the 42th U.S. Vice President.