13215245891772672
13,215,245,891,772,672 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13215245891772672 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13215245891772672 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13215245891772672:
28 × 33 × 11 × 31 × 137 × 199 × 205657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 31 × 137 × 199 × 205657)See below for interesting mathematical facts about the number 13215245891772672 from the Numbermatics database.
Names of 13215245891772672
- Cardinal: 13215245891772672 can be written as Thirteen quadrillion, two hundred fifteen trillion, two hundred forty-five billion, eight hundred ninety-one million, seven hundred seventy-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3215245891772672 × 1016
Factors of 13215245891772672
Divisors of 13215245891772672
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 88 93 96 99 108 124 128 132 137 144 176 186 192 198 199 216 248 256 264 274 279 288 297 341 352 372 384 396 398 411 432 496 528 548 558 576 594 597 682 704 744 768 792 796 822 837 864 992 1023 1056 1096 1116 1152 1188 1194 1233 1364 1408 1488 1507 1584 1592 1644 1674 1728 1791 1984 2046 2112 2189 2192 2232 2304 2376 2388 2466 2728 2816 2976 3014 3069 3168 3184 3288 3348 3456 3582 3699 3968 4092 4224 4247 4378 4384 4464 4521 4752 4776 4932 5373 5456 5952 6028 6138 6169 6336 6368 6567 6576 6696 6912 7164 7398 7936 8184 8448 8494 8756 8768 8928 9042 9207 9504 9552 9864 10746 10912 11904 12056 12276 12338 12672 12736 12741 13134 13152 13392 13563 14328 14796 16368 16988 17512 17536 17856 18084 18414 18507 19008 19104 19701 19728 21492 21824 23808 24112 24552 24676 25344 25472 25482 26268 26304 26784 27126 27263 28656 29592 32736 33976 35024 35072 35712 36168 36828 37014 38016 38208 38223 39402 39456 40689 42984 43648 46717 48224 49104 49352 50944 50964 52536 52608 53568 54252 54526 55521 57312 59103 59184 65472 67859 67952 70048 71424 72336 73656 74028 76032 76416 76446 78804 78912 81378 81789 85968 87296 93434 96448 98208 98704 101928 105072 105216 107136 108504 109052 111042 114624 114669 118206 118368 130944 135718 135904 140096 140151 144672 147312 148056 152832 152892 157608 157824 162756 163578 166563 171936 186868 192896 196416 197408 203577 203856 205657 210144 214272 217008 218104 222084 229248 229338 236412 236736 245367 261888 271436 271808 280192 280302 289344 294624 296112 299893 305784 315216 315648 325512 327156 333126 343872 373736 385792 392832 394816 407154 407712 411314 420288 420453 434016 436208 444168 458496 458676 472824 473472 490734 542872 543616 560384 560604 578688 589248 592224 599786 610731 611568 616971 630432 651024 654312 666252 687744 736101 747472 785664 789632 814308 815424 822628 840576 840906 845153 868032 872416 888336 899679 917352 945648 946944 981468 1085744 1087232 1121208 1157376 1178496 1184448 1199572 1221462 1223136 1233942 1260864 1261359 1302048 1308624 1332504 1375488 1472202 1494944 1579264 1628616 1630848 1645256 1681152 1681812 1690306 1736064 1744832 1776672 1799358 1832193 1834704 1850913 1891296 1962936 2171488 2242416 2262227 2356992 2368896 2399144 2442924 2446272 2467884 2521728 2522718 2535459 2604096 2617248 2665008 2699037 2944404 2989888 3257232 3261696 3290512 3363624 3380612 3472128 3489664 3553344 3598716 3664386 3669408 3701826 3782592 3925872 4342976 4484832 4524454 4737792 4798288 4885848 4892544 4935768 5043456 5045436 5070918 5208192 5234496 5330016 5398074 5552739 5888808 5979776 6375367 6514464 6581024 6727248 6761224 6786681 6979328 7106688 7197432 7328772 7338816 7403652 7565184 7606377 7851744 8097111 8685952 8969664 9048908 9296683 9596576 9771696 9785088 9871536 10090872 10141836 10416384 10468992 10660032 10796148 11105478 11777616 11959552 12750734 13028928 13162048 13454496 13522448 13573362 14213376 14394864 14657544 14677632 14807304 15130368 15212754 15703488 16194222 17371904 17939328 18097816 18593366 19126101 19193152 19543392 19743072 20181744 20283672 20360043 20937984 21320064 21592296 22210956 22819131 23555232 25501468 26057856 26324096 26908992 27044896 27146724 27890049 28175009 28789728 29315088 29355264 29614608 30425508 31406976 32388444 35878656 36195632 37186732 38252202 38386304 39086784 39486144 40363488 40567344 40720086 40925743 42640128 43184592 44421912 45638262 47110464 51002936 52115712 52648192 53817984 54089792 54293448 55780098 56350018 57378303 57579456 58630176 59229216 60851016 61080129 62813952 64776888 70129037 72391264 74373464 76504404 76772608 78173568 78972288 80726976 81134688 81440172 81851486 83670147 84525027 86369184 88843824 91276524 94220928 102005872 107635968 108179584 108586896 111560196 112700036 114756606 115158912 117260352 118458432 121702032 122160258 122777229 129553776 140258074 144782528 148746928 153008808 156347136 157944576 161453952 162269376 162880344 163702972 167340294 169050054 172134909 172738368 177687648 182553048 188441856 204011744 210387111 216359168 217173792 223120392 225400072 229513212 230317824 234520704 236916864 243404064 244320516 245554458 251010441 253575081 259107552 280516148 289565056 297493856 306017616 309925099 322907904 324538752 325760688 327405944 334680588 338100108 344269818 345476736 355375296 365106096 368331687 408023488 420774222 434347584 446240784 450183173 450800144 459026424 469041408 473833728 486808128 488641032 491108916 502020882 507150162 518215104 561032296 579130112 594987712 612035232 619850198 631161333 649077504 651521376 654811888 669361176 676200216 688539636 690953472 710750592 730212192 736663374 760725243 816046976 841548444 868695168 873425279 892481568 900366346 901600288 918052848 929775297 973616256 977282064 982217832 1004041764 1014300324 1036430208 1104995061 1122064592 1189975424 1224070464 1239700396 1262322666 1268698033 1303042752 1309623776 1338722352 1350549519 1352400432 1377079272 1421501184 1460424384 1473326748 1521450486 1632093952 1683096888 1737390336 1746850558 1784963136 1800732692 1803200576 1836105696 1859550594 1893483999 1947232512 1954564128 1964435664 2008083528 2028600648 2072860416 2209990122 2244129184 2379950848 2448140928 2479400792 2524645332 2537396066 2606085504 2619247552 2620275837 2677444704 2701099038 2704800864 2754158544 2789325891 2920848768 2946653496 3042900972 3366193776 3493701116 3569926272 3601465384 3606401152 3672211392 3719101188 3786967998 3806094099 3909128256 3928871328 4016167056 4051648557 4057201296 4419980244 4488258368 4896281856 4958801584 5049290664 5074792132 5212171008 5238495104 5240551674 5354889408 5402198076 5409601728 5508317088 5578651782 5606826791 5841697536 5893306992 6085801944 6732387552 6987402232 7139852544 7202930768 7212802304 7344422784 7438202376 7573935996 7612188198 7818256512 7857742656 7860827511 8032334112 8103297114 8114402592 8367977673 8839960488 8976516736 9607678069 9917603168 10098581328 10149584264 10476990208 10481103348 10709778816 10804396152 10819203456 11016634176 11157303564 11213653582 11418282297 11786613984 12154945671 12171603888 13464775104 13955678363 13974804464 14405861536 14688845568 14876404752 15147871992 15224376396 15636513024 15715485312 15721655022 16064668224 16206594228 16228805184 16735955346 16820480373 17679920976 17953033472 19215356138 19835206336 20197162656 20299168528 20962206696 21419557632 21608792304 21638406912 22033268352 22314607128 22427307164 22836564594 23573227968 23582482533 24309891342 24343207776 26929550208 27911356726 27949608928 28811723072 28823034207 29752809504 30295743984 30448752792 31430970624 31443310044 32129336448 32413188456 32457610368 33471910692 33640960746 34254846891 35359841952 38430712276 39670412672 40394325312 40598337056 41867035089 41924413392 43217584608 44066536704 44629214256 44854614328 45673129188 47146455936 47164965066 48619782684 48686415552 50461441119 53859100416 55822713452 55899217856 57623446144 57646068414 59505619008 60591487968 60897505584 61675094701 62886620088 64258672896 64826376912 64915220736 66943821384 67281921492 68509693782 70719683904 76861424552 79340825344 80788650624 81196674112 83734070178 83848826784 86435169216 86469102621 89258428512 89709228656 91346258376 94292911872 94329930132 97239565368 97372831104 100922882238 111645426904 111798435712 115246892288 115292136828 119011238016 121182975936 121795011168 123350189402 125601105267 125773240176 129652753824 133887642768 134563842984 137019387564 141439367808 151384323357 153722849104 161577301248 162393348224 167468140356 167697653568 172870338432 172938205242 173811630521 178516857024 179418457312 182692516752 185025284103 188659860264 194479130736 194745662208 201845764476 223290853808 223596871424 230584273656 238022476032 242365951872 243590022336 246700378804 251202210534 251546480352 259305507648 259407307863 267775285536 269127685968 274038775128 282878735616 302768646714 307445698208 324786696448 334936280712 335395307136 345740676864 345876410484 347623261042 357033714048 358836914624 365385033504 370050568206 376803315801 377319720528 388958261472 403691528952 446581707616 461168547312 484731903744 487180044672 493400757608 502404421068 503092960704 518611015296 518814615726 521434891563 535550571072 538255371936 548077550256 555075852309 605537293428 614891396416 669872561424 670790614272 691752820968 695246522084 714067428096 717673829248 730770067008 740101136412 753606631602 754639441056 777916522944 807383057904 893163415232 922337094624 974360089344 986801515216 1004808842136 1006185921408 1037222030592 1037629231452 1042869783126 1071101142144 1076510743872 1096155100512 1110151704618 1211074586856 1229782792832 1339745122848 1383505641936 1390493044168 1435347658496 1461540134016 1480202272824 1507213263204 1509278882112 1555833045888 1564304674689 1614766115808 1665227556927 1786326830464 1844674189248 1911927935731 1973603030432 2009617684272 2012371842816 2075258462904 2085739566252 2142202284288 2153021487744 2192310201024 2220303409236 2422149173712 2459565585664 2679490245696 2767011283872 2780986088336 2923080268032 2960404545648 3014426526408 3018557764224 3111666091776 3128609349378 3229532231616 3330455113854 3572653660928 3689348378496 3823855871462 3947206060864 4019235368544 4150516925808 4171479132504 4306042975488 4384620402048 4440606818472 4692914024067 4844298347424 5358980491392 5534022567744 5561972176672 5735783807193 5920809091296 6028853052816 6037115528448 6257218698756 6459064463232 6660910227708 7378696756992 7647711742924 7894412121728 8038470737088 8301033851616 8342958265008 8769240804096 8881213636944 9385828048134 9688596694848 10717960982784 11068045135488 11123944353344 11471567614386 11841618182592 12057706105632 12514437397512 12918128926464 13321820455416 15295423485848 15788824243456 16076941474176 16602067703232 16685916530016 17207351421579 17762427273888 18771656096268 19377193389696 22136090270976 22247888706688 22943135228772 23683236365184 24115412211264 25028874795024 26643640910832 30590846971696 32153882948352 33204135406464 33371833060032 34414702843158 35524854547776 37543312192536 38754386779392 44495777413376 45886270457544 47366472730368 48230824422528 50057749590048 51622054264737 53287281821664 61181693943392 66408270812928 66743666120064 68829405686316 71049709095552 75086624385072 91772540915088 96461648845056 100115499180096 103244108529474 106574563643328 122363387886784 133487332240128 137658811372632 142099418191104 150173248770144 183545081830176 200230998360192 206488217058948 213149127286656 244726775773568 275317622745264 300346497540288 367090163660352 400461996720384 412976434117896 426298254573312 489453551547136 550635245490528 600692995080576 734180327320704 825952868235792 1101270490981056 1201385990161152 1468360654641408 1651905736471584 2202540981962112 3303811472943168 4405081963924224 6607622945886336 13215245891772672
- Sum of all divisors σ(n): 44551959072768000
- Sum of proper divisors (its aliquot sum) s(n): 31336713180995328
- 13215245891772672 is an abundant number, because the sum of its proper divisors (31336713180995328) is greater than itself. Its abundance is 18121467289222656
Bases of 13215245891772672
- Binary: 1011101111001100110010001101001111111110100001000000002
- Hexadecimal: 0x2EF33234FFA100
- Base-36: 3M4EW5GF9C0
Squares and roots of 13215245891772672
- 13215245891772672 squared (132152458917726722) is 174642723980014484827778526019584
- 13215245891772672 cubed (132152458917726723) is 2307946540604875129563867760659193330785948008448
-
The
square root of 13215245891772672 is 114957583.0111814415 -
The
cube root of 13215245891772672 is 236424.1027028609
Scales and comparisons
How big is 13215245891772672?- 13,215,245,891,772,672 seconds is equal to 420,203,941 years, 47 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,215,245,891,772,672 would take you about one billion, two hundred sixty million, six hundred eleven thousand, eight hundred twenty-five 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 13215245891772672 cubic inches would be around 19702 feet tall.
Recreational maths with 13215245891772672
- 13215245891772672 backwards is 27627719854251231
- 13215245891772672 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13215245891772672'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 13215245891772672 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 13215245891772672 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13215245891772672/
Chicago style:
Numbermatics. 2024. "Number 13215245891772672 - Facts about the integer". https://numbermatics.com/n/13215245891772672/
The information we have on file for 13215245891772672 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 13215245891772672, math, Factors of 13215245891772672, curriculum, school, college, exams, university, Prime factorization of 13215245891772672, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred fifteen trillion, two hundred forty-five billion, eight hundred ninety-one million, seven hundred seventy-two thousand, six hundred seventy-two.