13729048884768672000
13,729,048,884,768,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13729048884768672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13729048884768672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13729048884768672000:
28 × 32 × 53 × 72 × 13 × 32719 × 2287223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 32719 × 2287223)See below for interesting mathematical facts about the number 13729048884768672000 from the Numbermatics database.
Names of 13729048884768672000
- Cardinal: 13729048884768672000 can be written as Thirteen quintillion, seven hundred twenty-nine quadrillion, forty-eight trillion, eight hundred eighty-four billion, seven hundred sixty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3729048884768672 × 1019
Factors of 13729048884768672000
Divisors of 13729048884768672000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 128 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 250 252 256 260 273 280 288 294 300 312 315 320 325 336 350 360 364 375 384 390 392 400 416 420 441 448 450 455 468 480 490 500 504 520 525 546 560 576 585 588 600 624 630 637 640 650 672 700 720 728 735 750 768 780 784 800 819 832 840 875 882 896 900 910 936 960 975 980 1000 1008 1040 1050 1092 1120 1125 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1344 1365 1400 1440 1456 1470 1500 1560 1568 1575 1600 1625 1638 1664 1680 1750 1764 1792 1800 1820 1872 1911 1920 1950 1960 2000 2016 2080 2100 2184 2205 2240 2250 2275 2304 2340 2352 2400 2450 2496 2520 2548 2600 2625 2688 2730 2800 2880 2912 2925 2940 3000 3120 3136 3150 3185 3200 3250 3276 3328 3360 3500 3528 3600 3640 3675 3744 3822 3840 3900 3920 4000 4032 4095 4160 4200 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431053340181120 435842821738688 437788548621450 440033618101560 449013896022000 458368352189125 466974451862880 469369192641664 471464590823100 476703086276690 478948155756800 486431720690500 490323174456024 502895563544640 510753306725025 523849545359000 528040341721872 538816675226400 544803527173360 550042022626950 560369342235456 572043703532028 583718064828600 586711490802080 589330738528875 598685194696000 603474676253568 612903968070030 622632602483840 628619454430800 653764232608032 660050427152340 670527418059520 673520844033000 681004408966700 700461677794320 704053788962496 715054629415035 718422233635200 729647581035750 733389363502600 747159122980608 754343345316960 762724938042704 778290753104800 785774318038500 817205290760040 825063033940425 838159272574400 851255511208375 858065555298042 862106680362240 871685643477376 875577097242900 880067236203120 898027792044000 916736704378250 933948903725760 938738385283328 942929181646200 953406172553380 972863441381000 980646348912048 1005791127089280 1021506613450050 1047699090718000 1056080683443744 1077633350452800 1089607054346720 1094471371553625 1100084045253900 1120738684470912 1144087407064056 1167436129657200 1173422981604160 1178661477057750 1191757715691725 1197370389392000 1206949352507136 1225807936140060 1245265204967680 1257238908861600 1307528465216064 1320100854304680 1347041688066000 1362008817933400 1375105056567375 1400923355588640 1408107577924992 1430109258830070 1436844467270400 1459295162071500 1466778727005200 1508686690633920 1525449876085408 1532259920175075 1556581506209600 1571548636077000 1634410581520080 1650126067880850 1676318545148800 1702511022416750 1716131110596084 1743371286954752 1751154194485800 1760134472406240 1796055584088000 1833473408756500 1867897807451520 1885858363292400 1906812345106760 1945726882762000 1961292697824096 2011582254178560 2043013226900100 2095398181436000 2112161366887488 2145163888245105 2155266700905600 2179214108693440 2188942743107250 2200168090507800 2241477368941824 2288174814128112 2334872259314400 2346845963208320 2357322954115500 2383515431383450 2394740778784000 2451615872280120 2514477817723200 2553766533625125 2615056930432128 2640201708609360 2694083376132000 2724017635866800 2750210113134750 2801846711177280 2816215155849984 2860218517660140 2918590324143000 2933557454010400 3017373381267840 3050899752170816 3064519840350150 3113163012419200 3143097272154000 3268821163040160 3300252135761700 3352637090297600 3405022044833500 3432262221192168 3502308388971600 3520268944812480 3575273147075175 3592111168176000 3666946817513000 3735795614903040 3771716726584800 3813624690213520 3891453765524000 3922585395648192 4086026453800200 4125315169702125 4190796362872000 4224322733774976 4290327776490210 4310533401811200 4358428217386880 4377885486214500 4400336181015600 4576349628256224 4669744518628800 4693691926416640 4714645908231000 4767030862766900 4903231744560240 5028955635446400 5107533067250250 5230113860864256 5280403417218720 5388166752264000 5448035271733600 5500420226269500 5603693422354560 5720437035320280 5837180648286000 5867114908020800 5958788578458625 6034746762535680 6101799504341632 6129039680700300 6226326024838400 6286194544308000 6537642326080320 6600504271523400 6810044089667000 6864524442384336 7004616777943200 7040537889624960 7150546294150350 7184222336352000 7333893635026000 7543433453169600 7627249380427040 7661299600875375 7782907531048000 7845170791296384 8172052907600400 8250630339404250 8381592725744000 8448645467549952 8580655552980420 8716856434773760 8755770972429000 8800672362031200 9152699256512448 9339489037257600 9429291816462000 9534061725533800 9806463489120480 10057911270892800 10215066134500500 10560806834437440 10725819441225525 10776333504528000 10896070543467200 11000840452539000 11207386844709120 11440874070640560 11674361296572000 11734229816041600 11917577156917250 12203599008683264 12258079361400600 12572389088616000 13075284652160640 13201008543046800 13620088179334000 13729048884768672 14009233555886400 14081075779249920 14301092588300700 14667787270052000 15086866906339200 15254498760854080 15322599201750750 15565815062096000 15690341582592768 16344105815200800 16501260678808500 16763185451488000 17161311105960840 17511541944858000 17601344724062400 17876365735375875 18305398513024896 18678978074515200 18858583632924000 19068123451067600 19612926978240960 20430132269001000 21121613668874880 21451638882451050 21552667009056000 21792141086934400 22001680905078000 22881748141281120 23348722593144000 23468459632083200 23835154313834500 24516158722801200 25144778177232000 26150569304321280 26402017086093600 27240176358668000 27458097769537344 28018467111772800 28602185176601400 29335574540104000 30173733812678400 30508997521708160 30645198403501500 31131630124192000 32688211630401600 33002521357617000 34322622211921680 35023083889716000 35202689448124800 35752731470751750 36610797026049792 37717167265848000 38136246902135200 39225853956481920 40860264538002000 42243227337749760 42903277764902100 43584282173868800 44003361810156000 45763496282562240 46697445186288000 47670308627669000 49032317445602400 50289556354464000 52804034172187200 53629097206127625 54480352717336000 54916195539074688 56036934223545600 57204370353202800 58671149080208000 61017995043416320 61290396807003000 65376423260803200 66005042715234000 68645244423843360 70046167779432000 70405378896249600 71505462941503500 75434334531696000 76272493804270400 78451707912963840 81720529076004000 85806555529804200 88006723620312000 91526992565124480 93394890372576000 95340617255338000 98064634891204800 105608068344374400 107258194412255250 108960705434672000 109832391078149376 114408740706405600 117342298160416000 122580793614006000 130752846521606400 132010085430468000 137290488847686720 140092335558864000 143010925883007000 150868669063392000 152544987608540800 163441058152008000 171613111059608400 176013447240624000 183053985130248960 190681234510676000 196129269782409600 211216136688748800 214516388824510500 217921410869344000 228817481412811200 245161587228012000 264020170860936000 274580977695373440 280184671117728000 286021851766014000 305089975217081600 326882116304016000 343226222119216800 352026894481248000 381362469021352000 392258539564819200 429032777649021000 457634962825622400 490323174456024000 528040341721872000 549161955390746880 572043703532028000 653764232608032000 686452444238433600 762724938042704000 858065555298042000 915269925651244800 980646348912048000 1056080683443744000 1144087407064056000 1372904888476867200 1525449876085408000 1716131110596084000 1961292697824096000 2288174814128112000 2745809776953734400 3432262221192168000 4576349628256224000 6864524442384336000 13729048884768672000
- Sum of all divisors σ(n): 61889038642357355520
- Sum of proper divisors (its aliquot sum) s(n): 48159989757588683520
- 13729048884768672000 is an abundant number, because the sum of its proper divisors (48159989757588683520) is greater than itself. Its abundance is 34430940872820011520
Bases of 13729048884768672000
- Binary: 10111110100001110110000100111000100110001001110000001001000000002
- Hexadecimal: 0xBE876138989C0900
- Base-36: 2WB1PNO05J5S0
Squares and roots of 13729048884768672000
- 13729048884768672000 squared (137290488847686720002) is 188486783280367916384114952643584000000
- 13729048884768672000 cubed (137290488847686720003) is 2587744261788969514220425672941920173838705000448000000000
-
The
square root of 13729048884768672000 is 3705273118.7820246835 -
The
cube root of 13729048884768672000 is 2394492.5149656109
Scales and comparisons
How big is 13729048884768672000?- 13,729,048,884,768,672,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,729,048,884,768,672,000 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 13729048884768672000 cubic inches would be around 199541 feet tall.
Recreational maths with 13729048884768672000
- 13729048884768672000 backwards is 00027686748884092731
- 13729048884768672000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13729048884768672000's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 13729048884768672000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13729048884768672000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13729048884768672000/
Chicago style:
Numbermatics. 2024. "Number 13729048884768672000 - Facts about the integer". https://numbermatics.com/n/13729048884768672000/
The information we have on file for 13729048884768672000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13729048884768672000, math, Factors of 13729048884768672000, curriculum, school, college, exams, university, Prime factorization of 13729048884768672000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, seven hundred twenty-nine quadrillion, forty-eight trillion, eight hundred eighty-four billion, seven hundred sixty-eight million, six hundred seventy-two thousand.