213721308159561933120
213,721,308,159,561,933,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 213721308159561933120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 504 divisors.
213721308159561933120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 213721308159561933120:
26 × 32 × 5 × 132 × 653 × 672442958357
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 653 × 672442958357)See below for interesting mathematical facts about the number 213721308159561933120 from the Numbermatics database.
Names of 213721308159561933120
- Cardinal: 213721308159561933120 can be written as Two hundred thirteen quintillion, seven hundred twenty-one quadrillion, three hundred eight trillion, one hundred fifty-nine billion, five hundred sixty-one million, nine hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1372130815956193312 × 1020
Factors of 213721308159561933120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 672442959033
Divisors of 213721308159561933120
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 130 144 156 160 169 180 192 195 208 234 240 260 288 312 320 338 360 390 416 468 480 507 520 576 585 624 653 676 720 780 832 845 936 960 1014 1040 1170 1248 1306 1352 1440 1521 1560 1690 1872 1959 2028 2080 2340 2496 2535 2612 2704 2880 3042 3120 3265 3380 3744 3918 4056 4160 4680 5070 5224 5408 5877 6084 6240 6530 6760 7488 7605 7836 8112 8489 9360 9795 10140 10448 10816 11754 12168 12480 13060 13520 15210 15672 16224 16978 18720 19590 20280 20896 23508 24336 25467 26120 27040 29385 30420 31344 32448 33956 37440 39180 40560 41792 42445 47016 48672 50934 52240 54080 58770 60840 62688 67912 76401 78360 81120 84890 94032 97344 101868 104480 110357 117540 121680 125376 127335 135824 152802 156720 162240 169780 188064 203736 208960 220714 235080 243360 254670 271648 305604 313440 331071 339560 376128 382005 407472 441428 470160 486720 509340 543296 551785 611208 626880 662142 679120 764010 814944 882856 940320 993213 1018680 1103570 1222416 1324284 1358240 1528020 1629888 1655355 1765712 1880640 1986426 2037360 2207140 2444832 2648568 2716480 3056040 3310710 3531424 3972852 4074720 4414280 4889664 4966065 5297136 6112080 6621420 7062848 7945704 8149440 8828560 9932130 10594272 12224160 13242840 15891408 17657120 19864260 21188544 24448320 26485680 31782816 35314240 39728520 52971360 63565632 79457040 105942720 158914080 317828160 672442958357 1344885916714 2017328875071 2689771833428 3362214791785 4034657750142 5379543666856 6051986625213 6724429583570 8069315500284 8741758458641 10086644375355 10759087333712 12103973250426 13448859167140 16138631000568 17483516917282 20173288750710 21518174667424 24207946500852 26225275375923 26897718334280 30259933126065 32277262001136 34967033834564 40346577501420 43036349334848 43708792293205 48415893001704 52450550751846 53795436668560 60519866252130 64554524002272 69934067669128 78675826127769 80693155002840 87417584586410 96831786003408 104901101503692 107590873337120 113642859962333 121039732504260 129109048004544 131126376879615 139868135338256 157351652255538 161386310005680 174835169172820 193663572006816 209802203007384 215181746674240 227285719924666 242079465008520 262252753759230 279736270676512 314703304511076 322772620011360 340928579886999 349670338345640 387327144013632 393379130638845 419604406014768 439105251807121 454571439849332 484158930017040 524505507518460 559472541353024 568214299811665 629406609022152 645545240022720 681857159773998 699340676691280 786758261277690 839208812029536 878210503614242 909142879698664 968317860034080 1022785739660997 1049011015036920 1136428599623330 1258813218044304 1317315755421363 1363714319547996 1398681353382560 1573516522555380 1678417624059072 1704642899434995 1756421007228484 1818285759397328 1936635720068160 2045571479321994 2098022030073840 2195526259035605 2272857199246660 2517626436088608 2634631510842726 2727428639095992 2797362706765120 3147033045110760 3409285798869990 3512842014456968 3636571518794656 3951947266264089 4091142958643988 4196044060147680 4391052518071210 4545714398493320 5035252872177216 5113928698304985 5269263021685452 5454857278191984 5708368273492573 6294066090221520 6586578777106815 6818571597739980 7025684028913936 7273143037589312 7903894532528178 8182285917287976 8392088120295360 8782105036142420 9091428796986640 10227857396609970 10538526043370904 10909714556383968 11416736546985146 12588132180443040 13173157554213630 13637143195479960 14051368057827872 15807789065056356 16364571834575952 17125104820477719 17564210072284840 18182857593973280 19759736331320445 20455714793219940 21077052086741808 21819429112767936 22833473093970292 25176264360886080 26346315108427260 27274286390959920 28102736115655744 28541841367462865 31615578130112712 32729143669151904 34250209640955438 35128420144569680 36365715187946560 39519472662640890 40911429586439880 42154104173483616 45666946187940584 51375314461433157 52692630216854520 54548572781919840 57083682734925730 63231156260225424 65458287338303808 68500419281910876 70256840289139360 74208787555403449 79038945325281780 81822859172879760 84308208346967232 85625524102388595 91333892375881168 102750628922866314 105385260433709040 109097145563839680 114167365469851460 126462312520450848 137000838563821752 140513680578278720 148417575110806898 158077890650563560 163645718345759520 171251048204777190 182667784751762336 205501257845732628 210770520867418080 222626362666210347 228334730939702920 252924625040901696 256876572307165785 274001677127643504 296835150221613796 316155781301127120 327291436691519040 342502096409554380 365335569503524672 371043937777017245 411002515691465256 421541041734836160 445252725332420694 456669461879405840 513753144614331570 548003354255287008 593670300443227592 632311562602254240 667879087998631041 685004192819108760 742087875554034490 822005031382930512 890505450664841388 913338923758811680 1027506289228663140 1096006708510574016 1113131813331051735 1187340600886455184 1264623125204508480 1335758175997262082 1370008385638217520 1484175751108068980 1644010062765861024 1781010901329682776 1826677847517623360 2055012578457326280 2226263626662103470 2374681201772910368 2671516351994524164 2740016771276435040 2968351502216137960 3288020125531722048 3339395439993155205 3562021802659365552 4110025156914652560 4452527253324206940 4749362403545820736 5343032703989048328 5480033542552870080 5936703004432275920 6678790879986310410 7124043605318731104 8220050313829305120 8905054506648413880 10686065407978096656 11873406008864551840 13357581759972620820 14248087210637462208 16440100627658610240 17810109013296827760 21372130815956193312 23746812017729103680 26715163519945241640 35620218026593655520 42744261631912386624 53430327039890483280 71240436053187311040 106860654079780966560 213721308159561933120
- Sum of all divisors σ(n): 797228125516654557336
- Sum of proper divisors (its aliquot sum) s(n): 583506817357092624216
- 213721308159561933120 is an abundant number, because the sum of its proper divisors (583506817357092624216) is greater than itself. Its abundance is 369785509197530691096
Bases of 213721308159561933120
- Binary: 101110010101111110101001110101101101010101100111101110100001010000002
- Hexadecimal: 0xB95FA9D6D567BA140
- Base-36: 193R5KTNHQHU80
Squares and roots of 213721308159561933120
- 213721308159561933120 squared (2137213081595619331202) is 45676797561434434132289852420991352934400
- 213721308159561933120 cubed (2137213081595619331203) is 9762104927369255736626212564822717270282498536217048547328000
-
The
square root of 213721308159561933120 is 14619210244.0440308869 -
The
cube root of 213721308159561933120 is 5978826.3689299253
Scales and comparisons
How big is 213721308159561933120?- 213,721,308,159,561,933,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 213,721,308,159,561,933,120 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 213721308159561933120 cubic inches would be around 498235.5 feet tall.
Recreational maths with 213721308159561933120
- 213721308159561933120 backwards is 021339165951803127312
- 213721308159561933120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 213721308159561933120's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 213721308159561933120 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 213721308159561933120 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/213721308159561933120/
Chicago style:
Numbermatics. 2024. "Number 213721308159561933120 - Facts about the integer". https://numbermatics.com/n/213721308159561933120/
The information we have on file for 213721308159561933120 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 213721308159561933120, math, Factors of 213721308159561933120, curriculum, school, college, exams, university, Prime factorization of 213721308159561933120, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen quintillion, seven hundred twenty-one quadrillion, three hundred eight trillion, one hundred fifty-nine billion, five hundred sixty-one million, nine hundred thirty-three thousand, one hundred twenty.