1,000,000,000





Natural number
































































1000000000


List of numbers — Integers


← 100 101 102 103 104 105 106 107 108 109

Cardinal One billion (short scale)
One thousand million, or one milliard (long scale)
Ordinal One billionth (short scale)
Factorization 29 · 59
Greek numeral {displaystyle {stackrel {iota }{mathrm {M} }}}{displaystyle {stackrel {iota }{mathrm {M} }}}
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 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.




Visualization of powers of ten from one to 1 billion




Contents






  • 1 Sense of scale


    • 1.1 Time


    • 1.2 Distance


    • 1.3 Area


    • 1.4 Volume


    • 1.5 Weight


    • 1.6 Products


    • 1.7 Nature


    • 1.8 Count




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


    • 2.1 1,000,000,001 to 1,999,999,999


    • 2.2 2,000,000,000 to 2,999,999,999


    • 2.3 3,000,000,000 to 3,999,999,999


    • 2.4 4,000,000,000 to 4,999,999,999


    • 2.5 5,000,000,000 to 5,999,999,999


    • 2.6 6,000,000,000 to 6,999,999,999


    • 2.7 7,000,000,000 to 7,999,999,999


    • 2.8 8,000,000,000 to 8,999,999,999


    • 2.9 9,000,000,000 to 9,999,999,999




  • 3 References





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 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.

  • About 109 decades ago, galaxies began to appear in the early Universe which was then 3.799 billion years old. (109 decades is roughly 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 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.

  • 109metres (called a gigametre) is almost three times the distance from the Earth to the Moon.

  • 109kilometres (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 500 square feet (46 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 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



  • Any object that weighs 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.[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 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 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 1 million A-sized cubes in C; and 1,000,000,000 A-sized cubes in D.


Billion-cubes-new.svg



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


  • 1,787,109,376 – 1-automorphic number[18]


  • 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.[19]


  • 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 F0{displaystyle F_{0}}F_{0} through F4{displaystyle F_{4}}F_{4}.


  • 4,294,967,296 – 232


  • 4,294,967,297F5{displaystyle F_{5}}F_5, 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.[20]



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,[21] 15th superior highly composite number[22]



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




  • 8,212,890,625 – 1-automorphic number[18]


  • 8,589,869,056 – 6th perfect number.[23]


  • 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.[24]



References





  1. ^ "Yard". Investopedia. Retrieved 13 November 2017..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}


  2. ^ "figures". The Economist Style Guide (11th ed.). The Economist. 2015.


  3. ^ "6.5 Abbreviating 'million' and 'billion'". English Style Guide: A handbook for authors and translators in the European Commission (PDF) (8th ed.). European Commission. 3 November 2017. p. 32.


  4. ^ "How many is a billion?". OxfordDictionaries.com. Retrieved 13 November 2017.


  5. ^ "billion,thousand million,milliard". Google Ngram Viewer. Retrieved 13 November 2017.


  6. ^ "How Much is a Billion?". Math Forum. Retrieved 13 November 2017.


  7. ^ "Cosmic Detectives". European Space Agency. 2 April 2013.


  8. ^ Panken, Eli (27 July 2016). "Apple Announces It Has Sold One Billion iPhones". NBCNews.com. Retrieved 13 November 2017.


  9. ^ Seethamaram, Deep (27 July 2016). "Facebook Posts Strong Profit and Revenue Growth". The Wall Street Journal. Retrieved 13 November 2017.


  10. ^ Burke, Jeremy (16 June 2015). "How the World Became A Giant Ant Colony". Atlas Obscura. Retrieved 13 November 2017.


  11. ^ Sloane, N. J. A. (ed.). "Sequence A003617 (Smallest n-digit prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  12. ^ ab Sloane, N. J. A. (ed.). "Sequence A093112 (a(n) = (2^n-1)^2 - 2)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  13. ^ ab Sloane, N. J. A. (ed.). "Sequence A093069 (a(n) = (2^n + 1)^2 -)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  14. ^ abc Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  15. ^ abc Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  16. ^ Sloane, N. J. A. (ed.). "Sequence A000110 (Bell or exponential numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  17. ^ abc Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  18. ^ ab Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-04-06.


  19. ^ Sloane, N. J. A. (ed.). "Sequence A054377 (Primary pseudoperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  20. ^ Sloane, N. J. A. (ed.). "Sequence A005165 (Alternating factorials)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  21. ^ Sloane, N. J. A. (ed.). "Sequence A004490 (Colossally abundant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  22. ^ Sloane, N. J. A. (ed.). "Sequence A002201 (Superior highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  23. ^ Sloane, N. J. A. (ed.). "Sequence A000396 (Perfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.


  24. ^ "Greatest prime number with 10 digits". Wolfram Alpha. Retrieved 13 November 2017.










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