释义 |
- Sense of scale Time Distance Area Volume Weight Products Nature Count
- 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
- 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 scaleThe 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.
CountA 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]
References1. ^{{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. ^1 {{Cite OEIS|1=A093112|2=a(n) = (2^n-1)^2 - 2}} 13. ^1 {{cite OEIS|1=A093069|2=a(n) = (2^n + 1)^2 - }} 14. ^1 2 {{cite OEIS|1=A001006|2=Motzkin numbers}} 15. ^1 2 {{cite OEIS|1=A000129|2=Pell numbers}} 16. ^{{cite OEIS|1=A000110|2=Bell or exponential numbers}} 17. ^1 2 {{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)}} 1 : Integers |