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词条 1,000,000,000
释义

  1. Sense of scale

     Time  Distance  Area  Volume  Weight  Products  Nature  Count 

  2. Selected 10-digit numbers (1,000,000,001–9,999,999,999)

     1,000,000,001 to 1,999,999,999  2,000,000,000 to 2,999,999,999  3,000,000,000 to 3,999,999,999  4,000,000,000 to 4,999,999,999  5,000,000,000 to 5,999,999,999  6,000,000,000 to 6,999,999,999  7,000,000,000 to 7,999,999,999  8,000,000,000 to 8,999,999,999  9,000,000,000 to 9,999,999,999 

  3. References

{{See also|Orders of magnitude (numbers)|Long and short scales}}{{Infobox number
| number = 1000000000
| cardinal = One billion (short scale)
One thousand million, or one milliard (long scale)
| ordinal = One billionth (short scale)
| factorization = 29 · 59
| roman = M
}}{{Portal|Mathematics}}1,000,000,000 (one billion, short scale; one thousand million or milliard, yard,[1] long scale) is the natural number following 999,999,999 and preceding 1,000,000,001. One billion can also be written as b or bn.[2][3]

In scientific notation, it is written as 1 × 109. The metric prefix giga indicates 1,000,000,000 times the base unit. Its symbol is G.

One billion years may be called eon/aeon in astronomy or geology.

Previously in British English (but not in American English), the word "billion" referred exclusively to a million millions (1,000,000,000,000). However, this is no longer common, and the word has been used to mean one thousand million (1,000,000,000) for several decades.[4]

The term milliard can also be used to refer to 1,000,000,000; whereas "milliard" is seldom used in English,[5] variations on this name often appear in other languages.

In the South Asian numbering system, it is known as 100 crore or 1 arab.

Sense of scale

The facts below give a sense of how large 1,000,000,000 (109) is in the context of time according to current scientific evidence:

Time

  • 109 seconds is 114 days short of 32 calendar years (≈ 31.7 years).
  • More precisely, a billion seconds is exactly 31 years, 8 months, 2 weeks, 1 day, 17 hours, 46 minutes, and 40 seconds.
  • About 109 minutes ago, the Roman Empire was flourishing and Christianity was emerging. (109 minutes is roughly 1,901 years.)
  • About 109 hours ago, modern human beings and their ancestors were living in the Stone Age (more precisely, the Middle Paleolithic). (109 hours is roughly 114,080 years.)
  • About 109 days ago, Australopithecus, an ape-like creature related to an ancestor of modern humans, roamed the African savannas. (109 days is roughly {{Nowrap|2.738 million}} years.)
  • About 109 months ago, dinosaurs walked the Earth during the late Cretaceous. (109 months is roughly {{Nowrap|83.3 million}} years.)
  • About 109 years—a gigaannus—ago, the first multicellular eukaryotes appeared on Earth.
  • About 109 decades ago, galaxies began to appear in the early Universe which was then 3.799 billion years old. (109 decades is roughly {{Nowrap|10 billion}} years.)
  • It takes approximately 95 years to count from one to one billion in a single sitting.[6]
  • The universe is thought to be about 13.8 × 109 years old.[7]

Distance

  • 109 inches is {{convert|15783|mi|km}}, more than halfway around the world and thus sufficient to reach any point on the globe from any other point.
  • 109 metres (called a gigametre) is almost three times the distance from the Earth to the Moon.
  • 109 kilometres (called a terameter) is over six times the distance from the Earth to the Sun.

Area

  • A billion square inches would be a square about one half mile on a side.
  • A piece of finely woven bed sheet cloth that contained a billion holes would measure about {{convert|500|sqft|m2}}, large enough to cover a moderate sized apartment.

Volume

  • There are a billion cubic millimetres in a cubic metre and there are a billion cubic metres in a cubic kilometre.
  • A billion grains of table salt or granulated sugar would occupy a volume of about {{convert|2.5|cuft}}.
  • A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.

Weight

  • Any object that weighs {{convert|1000000000|kg|lbs|spell=in}} would weigh about as much as 5,525 empty Boeing 747-400s.
  • A cube of iron that weighs {{convert|1000000000|lbs|kg|spell=in}} would be {{convert|1521|ft|4|in|mi m}} on each side.

Products

  • As of July 2016, Apple has sold one billion iPhones.[8] This makes the iPhone one of the most successful product lines in history, surpassing the PlayStation and the Rubik's Cube.
  • As of July 2016, Facebook has 1.71 billion users.[9]

Nature

  • A small mountain, slightly larger than Stone Mountain in Georgia, United States, would weigh (have a mass of) a billion tons.
  • There are billions of worker ants in the largest ant colony in the world,[10] which covers almost {{convert|4,000|mi|km}} of the Mediterranean coast.
  • In 1804, the world population was one billion.

Count

A is a cube; B consists of 1000 cubes the size of cube A, C consists of 1000 cubes the size of cube B; and D consists of 1000 cubes the size of cube C. Thus there are {{Nowrap|1 million}} A-sized cubes in C; and 1,000,000,000 A-sized cubes in D.

Selected 10-digit numbers (1,000,000,001–9,999,999,999)

1,000,000,001 to 1,999,999,999

  • 1,000,000,007 – smallest prime number with 10 digits.[11]
  • 1,023,456,789 – smallest pandigital number in base 10.
  • 1,026,753,849 – smallest pandigital square that includes 0.
  • 1,073,676,287 – 15th Carol number.[12]
  • 1,073,741,824 – 230
  • 1,073,807,359 – 14th Kynea number.[13]
  • 1,111,111,111 – repunit, also a special number relating to the passing of Unix time.
  • 1,129,760,415 – 23rd Motzkin number.[14]
  • 1,134,903,170 – 45th Fibonacci number.
  • 1,162,261,467 – 319
  • 1,220,703,125 – 513
  • 1,232,922,769 – Centered hexagonal number.
  • 1,280,000,000 – 207
  • 1,234,567,890 – pandigital number with the digits in order.
  • 1,311,738,121 – 25th Pell number.[15]
  • 1,382,958,545 – 15th Bell number.[16]
  • 1,406,818,759 – 30th Wedderburn–Etherington number.[17]
  • 1,475,789,056 – 148
  • 1,631,432,881 – Triangular square number.
  • 1,673,196,525 – Lowest common multiple of the odd integers from 1 to 25
  • 1,836,311,903 – 46th Fibonacci number.
  • 1,882,341,361 – The smallest prime whose reversal is both square (403912) and triangular (triangular of 57121).
  • 1,977,326,743 – 711

2,000,000,000 to 2,999,999,999

  • 2,038,074,743 – 100,000,000th prime number
  • 2,147,483,647 – 8th Mersenne prime and the largest signed 32-bit integer.
  • 2,147,483,648 – 231
  • 2,176,782,336 – 612
  • 2,214,502,422 – 6th primary pseudoperfect number.[18]
  • 2,357,947,691 – 119
  • 2,562,890,625 – 158
  • 2,971,215,073 – 11th Fibonacci prime (47th Fibonacci number).

3,000,000,000 to 3,999,999,999

  • 3,166,815,962 – 26th Pell number.[15]
  • 3,192,727,797 – 24th Motzkin number.[14]
  • 3,323,236,238 – 31st Wedderburn–Etherington number.[17]
  • 3,405,691,582 – hexadecimal CAFEBABE; used as a placeholder in programming.
  • 3,405,697,037 – hexadecimal CAFED00D; used as a placeholder in programming.
  • 3,735,928,559 – hexadecimal DEADBEEF; used as a placeholder in programming.
  • 3,486,784,401 – 320

4,000,000,000 to 4,999,999,999

  • 4,294,836,223 – 16th Carol number.[12]
  • 4,294,967,291 – Largest prime 32-bit unsigned integer.
  • 4,294,967,295 – Maximum 32-bit unsigned integer (FFFFFFFF16), perfect totient number, product of the five prime Fermat numbers through .
  • 4,294,967,296 – 232
  • 4,294,967,297, the first composite Fermat number.
  • 4,295,098,367 – 15th Kynea number.[13]
  • 4,807,526,976 – 48th Fibonacci number.

5,000,000,000 to 5,999,999,999

  • 5,159,780,352 – 129
  • 5,354,228,880 – superior highly composite number, smallest number divisible by all the numbers 1 through 24
  • 5,784,634,181 – 13th alternating factorial.[19]

6,000,000,000 to 6,999,999,999

  • 6,103,515,625 – 514
  • 6,210,001,000 – only self-descriptive number in base 10.
  • 6,227,020,800 – 13!
  • 6,975,757,441 – 178
  • 6,983,776,800 – 15th colossally abundant number,[20] 15th superior highly composite number[21]

7,000,000,000 to 7,999,999,999

  • 7,645,370,045 – 27th Pell number.[15]
  • 7,778,742,049 – 49th Fibonacci number.
  • 7,862,958,391 – 32nd Wedderburn–Etherington number.[17]

8,000,000,000 to 8,999,999,999

  • 8,589,869,056 – 6th perfect number.[22]
  • 8,589,934,592 – 233

9,000,000,000 to 9,999,999,999

  • 9,043,402,501 – 25th Motzkin number.[14]
  • 9,814,072,356 – largest square pandigital number, largest pandigital pure power.
  • 9,876,543,210 – largest number without redundant digits.
  • 9,999,999,967 – greatest prime number with ten digits.[23]

References

1. ^{{cite web |url=https://www.investopedia.com/terms/y/yard.asp |title=Yard |website=Investopedia |access-date=13 November 2017}}
2. ^{{cite book |title=The Economist Style Guide |date=2015 |publisher=The Economist |edition=11th |chapter-url=https://books.google.com/books?id=enIZBwAAQBAJ&pg=PT70 |chapter=figures}}
3. ^{{cite book |chapter=6.5 Abbreviating ‘million’ and ‘billion’ |title=English Style Guide: A handbook for authors and translators in the European Commission |url=https://ec.europa.eu/info/sites/info/files/styleguide_english_dgt_en.pdf |edition=8th |publisher=European Commission |date=3 November 2017 |page=32}}
4. ^{{cite web |url=https://en.oxforddictionaries.com/explore/how-many-is-a-billion |title=How many is a billion? |website=OxfordDictionaries.com |access-date=13 November 2017}}
5. ^{{cite web |url=https://books.google.com/ngrams/graph?content=billion%2Cthousand+million%2Cmilliard&year_start=1808&year_end=2008&corpus=18&smoothing=3 |title=billion,thousand million,milliard |website=Google Ngram Viewer |access-date=13 November 2017}}
6. ^{{cite web |url=http://mathforum.org/sanders/geometry/GP10BillionEtc.html |title=How Much is a Billion? |website=Math Forum |access-date=13 November 2017}}
7. ^{{cite web |url=http://www.esa.int/Our_Activities/Space_Science/Cosmic_detectives |title=Cosmic Detectives |date=2 April 2013 |website=European Space Agency}}
8. ^{{cite web |url=https://www.nbcnews.com/business/consumer/apple-announces-it-has-sold-one-billion-iphones-n618171 |title=Apple Announces It Has Sold One Billion iPhones |last=Panken |first=Eli |date=27 July 2016 |website=NBCNews.com |access-date=13 November 2017}}
9. ^{{cite web |url=https://www.wsj.com/articles/facebook-posts-strong-profit-and-revenue-growth-1469650289 |title=Facebook Posts Strong Profit and Revenue Growth |last=Seethamaram |first=Deep |date=27 July 2016 |website=The Wall Street Journal |access-date=13 November 2017}}
10. ^{{cite web |url=https://www.atlasobscura.com/articles/how-the-world-became-a-giant-ant-colony |title=How the World Became A Giant Ant Colony |last=Burke |first=Jeremy |date=16 June 2015 |website=Atlas Obscura |access-date=13 November 2017}}
11. ^{{Cite OEIS|1=A003617|2=Smallest n-digit prime}}
12. ^{{Cite OEIS|1=A093112|2=a(n) = (2^n-1)^2 - 2}}
13. ^{{cite OEIS|1=A093069|2=a(n) = (2^n + 1)^2 - }}
14. ^{{cite OEIS|1=A001006|2=Motzkin numbers}}
15. ^{{cite OEIS|1=A000129|2=Pell numbers}}
16. ^{{cite OEIS|1=A000110|2=Bell or exponential numbers}}
17. ^{{cite OEIS|1=A001190|2=Wedderburn-Etherington numbers}}
18. ^{{cite OEIS|1=A054377|2=Primary pseudoperfect numbers}}
19. ^{{cite OEIS|1=A005165|2=Alternating factorials}}
20. ^{{cite OEIS|1=A004490|2=Colossally abundant numbers}}
21. ^{{cite OEIS|1=A002201|2=Superior highly composite numbers}}
22. ^{{cite OEIS|1=A000396|2=Perfect numbers}}
23. ^{{cite web |url=http://www.wolframalpha.com/input/?i=Greatest+prime+number+with+10+digits |title=Greatest prime number with 10 digits |website=Wolfram Alpha |access-date=13 November 2017}}
{{Large numbers}}{{Portal bar|Mathematics}}{{DEFAULTSORT:1000000000 (Number)}}

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