1,000,000,000
1000000000 | |
---|---|
| |
Cardinal |
One billion (short scale) One thousand million, or one milliard (long scale) |
Ordinal | One billionth (short scale) |
Factorization | 29 · 59 |
Roman numeral | M |
Binary | 1110111001101011001010000000002 |
Ternary | 21202002000210100013 |
Quaternary | 3232122302200004 |
Quinary | 40220000000005 |
Senary | 2431212453446 |
Octal | 73465450008 |
Duodecimal | 23AA9385412 |
Hexadecimal | 3B9ACA0016 |
Vigesimal | FCA000020 |
Base 36 | GJDGXS36 |
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 SI prefix giga indicates 1,000,000,000 times the base unit.
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 as common as earlier, and the word has been used to mean one thousand million (1,000,000,000) for some time.[4] The alternative term "one thousand million" is mainly used in the U.K., or countries such as Spain that uses "one thousand million" as one million million constitutes a billion. The worded figure, as opposed to the numerical figure (one thousand million/1,000,000,000) is used to differentiate between "one thousand million" or "one billion".
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.
- 1000000007 – smallest prime number with 10 digits.
- 1023456789 – smallest pandigital number in base 10.
- 1026753849 – smallest pandigital square that includes 0.
- 1073676287 – 15th Carol number.[6]
- 1073741824 – 230
- 1073807359 – 14th Kynea number.[7]
- 1129760415 – 23rd Motzkin number.[8]
- 1134903170 – 45th Fibonacci number.
- 1162261467 – 319
- 1220703125 – 513
- 1232922769 – Centered hexagonal number.
- 1234567890 – pandigital number with the digits in order.
- 1311738121 – 25th Pell number.[9]
- 1382958545 – 15th Bell number.[10]
- 1406818759 – 30th Wedderburn–Etherington number.[11]
- 1631432881 – Triangular square number.
- 1836311903 – 46th Fibonacci number.
- 1882341361 – The least prime whose reversal is both square (403912) and triangular (triangular of 57121).
- 1977326743 – 711
- 2147483647 – 8th Mersenne prime and the largest signed 32-bit integer.
- 2147483648 – 231
- 2176782336 – 612
- 2214502422 – 6th primary pseudoperfect number.[12]
- 2357947691 – 119
- 2971215073 – 11th Fibonacci prime (47th Fibonacci number).
- 3166815962 – 26th Pell number.[9]
- 3192727797 – 24th Motzkin number.[8]
- 3323236238 – 31st Wedderburn–Etherington number.[11]
- 3405691582 – hexadecimal CAFEBABE; used as a placeholder in programming.
- 3405697037 – hexadecimal CAFED00D; used as a placeholder in programming.
- 3735928559 – hexadecimal DEADBEEF; used as a placeholder in programming.
- 3486784401 – 320
- 4294836223 – 16th Carol number.[6]
- 4294967291 – Largest prime 32-bit unsigned integer.
- 4294967295 – Maximum 32-bit unsigned integer (FFFFFFFF16), perfect totient number, product of the five prime Fermat numbers..
- 4294967296 – 232
- 4294967297 – the first composite Fermat number.
- 4295098367 – 15th Kynea number.[7]
- 4807526976 – 48th Fibonacci number.
- 5784634181 – 13th alternating factorial.[13]
- 6103515625 – 514
- 6210001000 – only self-descriptive number in base 10.
- 6227020800 – 13!
- 6975757441 – 178
- 6983776800 – 15th colossally abundant number,[14] 15th superior highly composite number[15]
- 7645370045 – 27th Pell number.[9]
- 7778742049 – 49th Fibonacci number.
- 7862958391 – 32nd Wedderburn–Etherington number.[11]
- 8589869056 – 6th perfect number.[16]
- 8589934592 – 233
- 9043402501 – 25th Motzkin number.[8]
- 9814072356 – largest square pandigital number, largest pandigital pure power.
- 9876543210 – largest number without redundant digits.
- 9999999967 – greatest prime number with 10 digits.[17]
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:
- 109 seconds is 114 days short of 32 calendar years (≈ 31.7 years).
- 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 2.738 million years.)
- About 109 months ago, dinosaurs walked the Earth during the late Cretaceous. (109 months is roughly 83.3 million years.)
- About 109 years—a gigaannus—ago, the first multicellular eukaryotes appeared on Earth.
- It takes approximately 95 years to count from one to one billion in a single sitting.[18]
- The universe is thought to be about 13.8 × 109 years old.[19]
Distance
- 109 inches is 15,783 miles (25,400 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 gigameter) is almost three times the distance from the Earth to the Moon.
- 109 kilometres is over six times the distance from the Earth to the Sun.
Finance
- The possession of assets with total value of 109 United States dollars would place a person among the world's wealthiest individuals.
- If one had 109 dollars, they could spend $54,757.016 per day; or $2,281.542 an hour; for 50 continuous years.
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 500 square feet (46 m2), large enough to cover a moderate sized apartment.
Volume
- There are a billion cubic millimeters in a cubic meter and there are a billion cubic meters in a cubic kilometer.
- A billion grains of table salt or granulated sugar would occupy a volume of about 2.5 cubic feet (0.071 m3).
- A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.
Weight
- one billion kilograms (2.2×109 lb) would weigh about as much as 5,525 empty Boeing 747-400s.
- a cube of iron that weighs one billion pounds (450,000,000 kg) would be 1,521 feet 4 inches (0.28813 mi; 463.70 m) on each side.
Products
- As of July 2016, Apple has sold one billion iPhones.[20] 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.[21]
Nature
- A small mountain, slightly larger than Stone Mountain 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,[22] which covers almost 4,000 miles (6,400 km) of the Mediterranean coast.
- in 1804, the world population was one billion.
Count
A is a cube; B consists of 1000 cubes of type A, C consists of 1000 Bs; and D consists of 1000 Cs. Thus there are 1 million As in C; and 1,000,000,000 As in D.
References
- ↑ "yard". Investopedia.
- ↑ "figures". The Economist Style Guide (11th ed.). The Economist. 2015.
- ↑ "6.5 Abbreviating ‘million’ and ‘billion’". English Style Guide. A handbook for authors and translators in the European Commission (PDF) (8th ed.). 5 October 2016. p. 31.
- ↑ "How many is a billion?". oxforddictionaries.com.
- ↑ "billion,thousand million,milliard". Google Ngram.
- 1 2 "Sloane's A093112 : a(n) = (2^n-1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- 1 2 "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- 1 2 3 "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- 1 2 3 "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A000110 : Bell or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- 1 2 3 "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A054377 : Primary pseudoperfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A005165 : Alternating factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A004490 : Colossally abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A002201 : Superior highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "Sloane's A000396 : Perfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-18.
- ↑ "greatest prime number with 10 digits". Wolfram Alpha. Retrieved July 15, 2014.
- ↑ "How much is a billion?". Math Forum. Retrieved 8 May 2015.
- ↑ "Cosmic Detectives". The European Space Agency (ESA). 2013-04-02. Retrieved 2013-05-01.
- ↑ Panken, Eli (27 July 2016). "Apple Announces It Has Sold One Billion iPhones". NBC News. Retrieved 28 July 2016.
- ↑ Seethamaram, Deep (27 July 2016). "Facebook Posts Strong Profit and Revenue Growth". Wall Street Journal. Retrieved 28 July 2016.
- ↑ Burke, Jeremy. "How the World Became A Giant Ant Colony". Atlas Obscura. Retrieved 28 July 2016.