13783985123234016000
13,783,985,123,234,016,000 is an even composite number composed of five prime numbers multiplied together.
13783985123234016000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13783985123234016000:
28 × 3 × 53 × 743 × 193247884747
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 743 × 193247884747)See below for interesting mathematical facts about the number 13783985123234016000 from the Numbermatics database.
Names of 13783985123234016000
- Cardinal: 13783985123234016000 can be written as Thirteen quintillion, seven hundred eighty-three quadrillion, nine hundred eighty-five trillion, one hundred twenty-three billion, two hundred thirty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 1.3783985123234016 × 1019
Factors of 13783985123234016000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 193247885500
Divisors of 13783985123234016000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 743 750 768 800 960 1000 1200 1280 1486 1500 1600 1920 2000 2229 2400 2972 3000 3200 3715 3840 4000 4458 4800 5944 6000 6400 7430 8000 8916 9600 11145 11888 12000 14860 16000 17832 18575 19200 22290 23776 24000 29720 32000 35664 37150 44580 47552 48000 55725 59440 71328 74300 89160 92875 95104 96000 111450 118880 142656 148600 178320 185750 190208 222900 237760 278625 285312 297200 356640 371500 445800 475520 557250 570624 594400 713280 743000 891600 951040 1114500 1188800 1426560 1486000 1783200 2229000 2377600 2853120 2972000 3566400 4458000 4755200 5944000 7132800 8916000 11888000 14265600 17832000 23776000 35664000 71328000 193247884747 386495769494 579743654241 772991538988 966239423735 1159487308482 1545983077976 1932478847470 2318974616964 2898718271205 3091966155952 3864957694940 4637949233928 4831197118675 5797436542410 6183932311904 7729915389880 9275898467856 9662394237350 11594873084820 12367864623808 14493591356025 15459830779760 18551796935712 19324788474700 23189746169640 24155985593375 24735729247616 28987182712050 30919661559520 37103593871424 38649576949400 46379492339280 48311971186750 49471458495232 57974365424100 61839323119040 72467956780125 74207187742848 77299153898800 92758984678560 96623942373500 115948730848200 123678646238080 143583178367021 144935913560250 148414375485696 154598307797600 185517969357120 193247884747000 231897461696400 247357292476160 287166356734042 289871827120500 309196615595200 371035938714240 386495769494000 430749535101063 463794923392800 574332713468084 579743654241000 618393231190400 717915891835105 742071877428480 772991538988000 861499070202126 927589846785600 1148665426936168 1159487308482000 1236786462380800 1435831783670210 1545983077976000 1722998140404252 1855179693571200 2153747675505315 2297330853872336 2318974616964000 2871663567340420 3091966155952000 3445996280808504 3589579459175525 3710359387142400 4307495351010630 4594661707744672 4637949233928000 5743327134680840 6183932311904000 6891992561617008 7179158918351050 8614990702021260 9189323415489344 9275898467856000 10768738377526575 11486654269361680 13783985123234016 14358317836702100 17229981404042520 17947897295877625 18378646830978688 18551796935712000 21537476755053150 22973308538723360 27567970246468032 28716635673404200 34459962808085040 35895794591755250 36757293661957376 43074953510106300 45946617077446720 53843691887632875 55135940492936064 57433271346808400 68919925616170080 71791589183510500 86149907020212600 91893234154893440 107687383775265750 110271880985872128 114866542693616800 137839851232340160 143583178367021000 172299814040425200 183786468309786880 215374767550531500 229733085387233600 275679702464680320 287166356734042000 344599628080850400 430749535101063000 459466170774467200 551359404929360640 574332713468084000 689199256161700800 861499070202126000 918932341548934400 1148665426936168000 1378398512323401600 1722998140404252000 2297330853872336000 2756797024646803200 3445996280808504000 4594661707744672000 6891992561617008000 13783985123234016000
- Sum of all divisors σ(n): 45845126380580986368
- Sum of proper divisors (its aliquot sum) s(n): 32061141257346970368
- 13783985123234016000 is an abundant number, because the sum of its proper divisors (32061141257346970368) is greater than itself. Its abundance is 18277156134112954368
Bases of 13783985123234016000
- Binary: 10111111010010101000110101110000010110111010000111101011000000002
- Hexadecimal: 0xBF4A8D705BA1EB00
- Base-36: 2WQ2MXFJS5JPC
Squares and roots of 13783985123234016000
- 13783985123234016000 squared (137839851232340160002) is 189998245877536671254142699488256000000
- 13783985123234016000 cubed (137839851232340160003) is 2618932994616524185961322343525389875178931716096000000000
-
The
square root of 13783985123234016000 is 3712678968.5123619641 -
The
cube root of 13783985123234016000 is 2397682.0863470409
Scales and comparisons
How big is 13783985123234016000?- 13,783,985,123,234,016,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,783,985,123,234,016,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13783985123234016000 cubic inches would be around 199806.8 feet tall.
Recreational maths with 13783985123234016000
- 13783985123234016000 backwards is 00061043232158938731
- The number of decimal digits it has is: 20
- The sum of 13783985123234016000's digits is 66
- More coming soon!
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