Billiards

Billiards
	1000000000000000
presentation
dual	11 1000 1101 0111 1110 1010 0100 1100 0110 1000 0000 0000 0000
Octal	3 4327 7244 6150 0000
Duodecimal	94 1A68 4881 B854
Hexadecimal	3 8D7E A4C6 8000
Morse code	- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Mathematical properties
sign	positive
parity	straight
Factorization
Divider	All numbers that are neither divisible by nor by a prime number other than 2 and 5 (see running text).

The word billiards (abbreviation: Brd. ) Is the numeral for the number 1,000,000,000,000,000 = 10 ¹⁵ . A trillion is equal to a thousand trillion . In contrast to the lower case number words such as hundred and thousand , “billiards” is a noun and is capitalized.

Math

Divider

Factoring is . This results in so ways a power of two ( up ) with a power of five ( to multiply). The number 1,000,000,000,000,000 thus has exactly the following 256 factors: ${\ displaystyle 2 ^ {15} \ cdot 5 ^ {15}}$ ${\ displaystyle (15 + 1) \ cdot (15 + 1)}$ ${\ displaystyle 16 \ cdot 16 = 256}$ ${\ displaystyle 2 ^ {0}}$ ${\ displaystyle 2 ^ {15}}$ ${\ displaystyle 5 ^ {0}}$ ${\ displaystyle 5 ^ {15}}$

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1,000, 1,024, 1,250, 1,280, 1,600, 2,000, 2,048, 2,500, 2,560, 3,125, 3,200, 4,000, 4,096, 5,000, 5,120, 6,250, 6,400, 8,000, 8,192, 10,000, 10,240, 12,500, 12,800, 15,625, 16,000, 16,384, 20,000, 20,480, 25,000, 25,600, 31,250, 32,000, 32,768, 40,000, 40,960, 50,000, 51,200, 62,500, 64,000, 78,125, 80,000, 81,920, 100,000, 102,400, 125,000, 128,000, 156,250, 160,000, 163,840, 200,000, 204,800, 250,000, 256,000, 312,500, 320,000, 390,625, 400,000, 409,600, 500,000, 512,000, 625,000, 640,000, 781,250, 800,000, 819,200, 1,000,000, 1,024,000, 1,250,000, 1,280. 000, 1,562,500, 1,600,000, 1,953,125, 2,000,000, 2,048,000, 2,500,000, 2,560,000, 3,125,000, 3,200,000, 3,906,250, 4,000,000, 4,096,000, 5,000,000, 5,120,000, 6,250,000, 6,400,000, 7,812,500, 8,000,000, 9,765,625, 10,000,000, 10,240,000, 12,500,000, 12,800,000, 15,625,000, 16,000. 000, 19,531,250, 20,000,000, 20,480 .000, 25,000,000, 25,600,000, 31,250,000, 32,000,000, 39,062,500, 40,000,000, 48,828,125, 50,000,000, 51,200,000, 62,500,000, 64,000,000, 78,125,000 , 80,000,000, 97,656,250, 100,000,000, 102,400,000, 125,000,000, 128,000,000, 156,250,000, 160,000,000, 195,312,500, 200,000,000, 244,140,625, 250,000,000, 256,000 .000, 312,500,000, 320,000,000, 390,625,000, 400,000,000, 488,281,250, 500,000,000, 512,000,000, 625,000,000, 640,000,000, 781,250,000, 800,000,000, 976,562,500 , 1,000,000,000, 1,220,703,125, 1,250,000,000, 1,280,000,000, 1,562,500,000, 1,600,000,000, 1,953,125,000, 2,000,000,000, 2,441,406,250, 2,500,000,000, 2,560,000,000, 3,125,000,000, 3,200 .000,000, 3,906,250,000, 4,000,000,000, 4,882,812,500, 5,000,000,000, 6,103,515,625, 6,250,000,000, 6,400,000,000, 7,812,500,000, 8,000,000,000, 9,765,625,000, 10,000,000,000, 12,207,031,250 , 12,500,000,000, 12,800,000,000, 15,625,000,000, 16,000,000,000, 19,531,250,000, 20,000,000,000, 24,414,062,500, 25,000,000,000, 30,517,578,125, 31,250 .000,000, 32,000,000,000, 39,062,500,000, 40,000,000,000, 48,828,125,000, 50,000,000,000, 61,035,156,250, 62,500,000,000, 64,000,000,000, 78,125,000,000, 80,000,000,000, 97,656,250,000, 100,000,000,000 , 122,070,312,500, 125,000,000,000, 156,250,000,000, 160,000,000,000, 195,312,500,000, 200,000,000,000, 244,140,625,000, 250,000,000,000, 312,500,000,000, 320,000,000,000, 390,625,000,000, 400,000,000,000, 488,281 .250,000, 500,000,000,000, 625,000,000,000, 781,250,000,000, 800,000,000,000, 976,562,500,000, 1,000,000,000,000, 1,250,000,000,000, 1,562,500,000,000, 1,600,000,000,000, 1,953,125,000 .000, 2,000,000,000,000, 2,500,000,000,000, 3,125,000,000,000, 3,906,250,000,000, 4,000,000,000,000, 5,000,000,000,000, 6,250,000,000,000, 7,812,500,000,000 , 8,000,000,000,000, 10,000,000,000,000, 12,500,000,000,000, 15,625,000,000,000, 20,000,000,000,000, 25,000,000,000,000, 31,250,000,000,000, 40,000,000,000,000, 50,000 .000,000,000, 62,500,000,000,000, 100,000,000,000,000, 125,000,000,000,000, 200 .000,000,000,000, 250,000,000,000,000, 500,000,000,000,000, 1,000,000,000,000,000

English billiards

In US English the number 10 ^{15 is called} “ quadrillion ”, which corresponds to 10 ²⁴ in German . In British English, due to US influence, both 10 ¹⁵ and traditionally 10 ^{24 are used} for quadrillion . Therefore, be careful when translating from English.

Unit of measure prefixes

SI prefix

When referring to units of measurement , the quadrillionfold of the unit of measurement is designated with the prefix peta (abbreviated: P), whereas the quadrillionth part (10 ⁻¹⁵ ) is denoted by femto (abbreviated: f). For example, a femtometer (fm) is one quadrillionth of a meter (10 ⁻¹⁵ m).

Binary prefix

When referring to the unit of measurement byte in computer science, the term petabyte (abbreviated: PB) is now understood to mean exactly one quadrillion byte. That is 10 ¹⁵ bytes and not 2 ⁵⁰ = 1024 ⁵ = 1,125,899,906,842,624 bytes, which exceeds a quadrillion bytes by approx. 12.59%. Today, the designation pebibyte (PiB) is suggested for naming 2 ⁵⁰ bytes ; pebi (Pi) is a binary prefix , while Peta (P) is a decimal prefix.

Web links

Wiktionary: Billiards - explanations of meanings, word origins, synonyms, translations

Individual evidence

[1] Prefixes for units of measure

[2] ry prefix