13083244338749312
13,083,244,338,749,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 13083244338749312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13083244338749312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13083244338749312:
27 × 72 × 133 × 372 × 43 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 37 × 37 × 43 × 127 × 127)See below for interesting mathematical facts about the number 13083244338749312 from the Numbermatics database.
Names of 13083244338749312
- Cardinal: 13083244338749312 can be written as Thirteen quadrillion, eighty-three trillion, two hundred forty-four billion, three hundred thirty-eight million, seven hundred forty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.3083244338749312 × 1016
Factors of 13083244338749312
Divisors of 13083244338749312
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 37 43 49 52 56 64 74 86 91 98 104 112 127 128 148 169 172 182 196 208 224 254 259 296 301 338 344 364 392 416 448 481 508 518 559 592 602 637 676 688 728 784 832 889 896 962 1016 1036 1118 1183 1184 1204 1274 1352 1369 1376 1456 1568 1591 1651 1664 1778 1813 1924 2032 2072 2107 2197 2236 2366 2368 2408 2548 2704 2738 2752 2912 3136 3182 3302 3367 3556 3626 3848 3913 4064 4144 4214 4394 4472 4699 4732 4736 4816 5096 5408 5461 5476 5504 5824 6223 6253 6272 6364 6604 6734 7112 7252 7267 7696 7826 8128 8281 8288 8428 8788 8944 9398 9464 9583 9632 10192 10816 10922 10952 11137 11557 11648 12446 12506 12728 13208 13468 14224 14504 14534 15379 15392 15652 16129 16256 16562 16576 16856 17576 17797 17888 18796 18928 19166 19264 20384 20683 21463 21632 21844 21904 22274 23114 23569 24892 25012 25456 26416 26936 27391 28448 29008 29068 30758 30784 31304 32258 32893 33124 33152 33712 35152 35594 35776 37592 37856 38227 38332 38528 40768 41366 42926 43688 43771 43808 44548 46228 47138 49784 50024 50869 50912 52832 53872 54782 56896 58016 58136 58867 61087 61516 61568 62608 64516 65786 66248 67081 67424 70304 70993 71188 71552 75184 75712 76454 76664 77959 80899 81289 81536 82732 85852 87376 87542 87616 89096 92456 94276 94471 99568 100048 101738 101824 105664 107653 107744 109564 112903 113792 116032 116272 117734 122174 123032 124579 125216 129032 131572 132496 134162 134848 140608 141986 142376 144781 150241 150368 151424 152908 153328 155918 161798 162578 165464 171704 173863 174752 175084 175232 178192 184912 188552 188942 199136 200096 202057 203476 203648 209677 211328 215306 215488 219128 225806 230251 231361 232064 232544 235468 244348 246064 249158 250432 258064 263144 264992 267589 268324 268879 269696 279019 281216 283972 284752 289562 300482 300736 305816 306397 306656 311836 323596 325156 330928 343408 347726 349504 350168 356083 356384 369824 377104 377884 398272 400192 404114 406952 412069 419354 427609 430612 430976 438256 451612 460502 462722 465088 470936 488696 492128 496951 498316 500864 516128 526288 529984 535178 536648 537758 558038 567944 569023 569504 579124 596773 600964 601472 611632 612794 613312 623672 647192 650312 661297 661856 686816 693547 695452 699008 700336 712166 712768 739648 754208 755768 765271 790321 794131 796544 800384 808228 813904 824138 838708 855218 861224 872053 876512 903224 921004 922909 925444 930176 941872 977392 984256 993902 996632 1013467 1032256 1051687 1052576 1059968 1070356 1073296 1075516 1116076 1135888 1138046 1139008 1158248 1193546 1201928 1217041 1223264 1225588 1226624 1247344 1294384 1300624 1322594 1323712 1373632 1387094 1390904 1400672 1414399 1424332 1425536 1467739 1479296 1508416 1511536 1530542 1580642 1588262 1616456 1619527 1627808 1648276 1677416 1710436 1722448 1744106 1753024 1806448 1842008 1845818 1850888 1882153 1883744 1953133 1954784 1968512 1987804 1993264 2026934 2064512 2103374 2105152 2140712 2146592 2151032 2232152 2260219 2271776 2276092 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27829256 27905696 27963416 29241877 29382847 29472128 29533088 29614208 29904436 30114448 31032196 31250128 31643066 31804864 31865288 32430944 33419288 33653984 33983803 34077148 34147633 34251392 34416512 35435413 35714432 36064444 36163504 36417472 36774374 37032632 37498279 38161214 38193472 38838632 38912419 38945312 39218816 39603172 39794092 41096692 41294812 42027856 42107702 42323008 42855176 43612816 44161202 44387008 44471336 45222541 45260768 45346756 45578624 46151728 46967648 47892208 47991268 48123088 48935978 48977344 50580544 50824384 51322478 51682904 51824864 52332763 52700284 52744832 54306343 54687724 54733952 55658512 55811392 55926832 58483754 58765694 59066176 59808872 60228896 62064392 62500256 63112777 63286132 63609728 63730576 64861888 66838576 67307968 67967606 68154296 68295266 69639661 70870826 72128888 72265921 72327008 72834944 73548748 74065264 74996558 76322428 76386944 77677264 77824838 77890624 79206344 79588184 82193384 82589624 83984719 84055712 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36711087868 36742120064 37362763984 37433747078 37625154112 38098251464 39535017704 40236822752 40430797472 41955528992 42664237252 42700301696 42781425232 43504084442 43540858816 45182877376 45946101656 46072304096 46523826307 46890155648 48511080397 48658483328 48759128288 48893057408 49372223836 49718953648 50697673208 52242701966 52509830464 53170087208 53543488544 55562727584 56261371348 56377742083 56549048192 56821661312 57940197952 59705945104 60714491474 60765813952 61909658629 62397136256 64244403769 64298710112 64750265216 65384836972 65700045892 69244764736 69387990256 70753895576 73422175736 74662415191 74725527968 74867494156 75250308224 76196502928 79070035408 80473645504 80861594944 83911057984 85328474504 85562850464 86401391713 87008168884 87081717632 90365754752 91892203312 92144608192 93047652614 97022160794 97518256576 98744447672 99437907296 101395346416 104485403932 105019660928 106340174416 107086977088 111125455168 112522742696 112755484166 114975080311 115880395904 119411890208 121428982948 121531627904 123819317258 128488807538 128597420224 130769673944 131400091784 138489529472 138775980512 141507791152 146844351472 149324830382 149451055936 149734988312 152393005856 158140070816 160459727467 160947291008 161723189888 167822115968 170656949008 171125700928 172802783426 174016337768 182849456881 183784406624 184289216384 186095305228 194044321588 195036513152 197488895344 198875814592 202790692832 208970807864 212500720159 212680348832 214173954176 222250910336 225045485392 225510968332 229950160622 238823780416 242857965896 247638634516 256977615076 257194840448 261539347888 262800183568 277551961024 283015582304 293688702944 298649660764 298902111872 299469976624 304786011712 316280141632 320919454934 339577562779 341313898016 342251401856 345605566852 348032675536 365698913762 367568813248 372190610456 388088643176 394644194581 394977790688 397751629184 405581385664 417941615728 425001440318 425360697664 450090970784 451021936664 459900321244 477647560832 485715931792 495277269032 513955230152 523078695776 525600367136 555103922048 566031164608 587377405888 597299321528 598939953248 604809741991 609572023424 632560283264 641838909868 679155125558 682627796032 691211133704 696065351072 731397827524 735137626496 744381220912 776177286352 789288389162 789955581376 804825562177 811162771328 835883231456 850002880636 850721395328 900181941568 902043873328 919800642488 971431863584 990554538064 1027910460304 1046157391552 1051200734272 1123218092269 1132062329216 1174754811776 1194598643056 1197879906496 1209619483982 1283677819736 1358310251116 1365255592064 1382422267408 1392130702144 1462795655048 1488762441824 1552354572704 1578576778324 1579911162752 1609651124354 1671766462912 1700005761272 1800363883136 1804087746656 1839601284976 1942863727168 1981109076128 2055820920608 2085976457071 2092314783104 2102401468544 2246436184538 2377042939453 2389197286112 2395759812992 2419238967964 2567355639472 2716620502232 2762509362067 2764844534816 2784261404288 2925591310096 2977524883648 3104709145408 3157153556648 3219302248708 3343532925824 3400011522544 3608175493312 3679202569952 3885727454336 3962218152256 4111641841216 4171952914142 4492872369076 4754085878906 4778394572224 4838477935928 5134711278944 5433241004464 5525018724134 5529689069632 5851182620192 5955049767296 6209418290816 6314307113296 6438604497416 6800023045088 7216350986624 7358405139904 7862526645883 7924436304512 8223283682432 8343905828284 8985744738152 9508171757812 9556789144448 9676955871856 10269422557888 10866482008928 11050037448268 11059378139264 11702365240384 12628614226592 12877208994832 13600046090176 14601835199497 14716810279808 15725053291766 16687811656568 17971489476304 19016343515624 19353911743712 20538845115776 21732964017856 22100074896536 23404730480768 25257228453184 25754417989664 27200092180352 29203670398994 31450106583532 33375623313136 35942978952608 38032687031248 38707823487424 43465928035712 44200149793072 50514456906368 51508835979328 58407340797988 62900213167064 66751246626272 71885957905216 76065374062496 77415646974848 88400299586144 102212846396479 103017671958656 116814681595976 125800426334128 133502493252544 143771915810432 152130748124992 176800599172288 204425692792958 233629363191952 251600852668256 267004986505088 304261496249984 353601198344576 408851385585916 467258726383904 503201705336512 817702771171832 934517452767808 1006403410673024 1635405542343664 1869034905535616 3270811084687328 6541622169374656 13083244338749312
- Sum of all divisors σ(n): 34816023980614800
- Sum of proper divisors (its aliquot sum) s(n): 21732779641865488
- 13083244338749312 is an abundant number, because the sum of its proper divisors (21732779641865488) is greater than itself. Its abundance is 8649535303116176
Bases of 13083244338749312
- Binary: 1011100111101100100100001100110101001000011111100000002
- Hexadecimal: 0x2E7B2433521F80
- Base-36: 3KTMFH3XKZK
Squares and roots of 13083244338749312
- 13083244338749312 squared (130832443387493122) is 171171282427415922207352380473344
- 13083244338749312 cubed (130832443387493123) is 2239475711774948956168643373299735274843514339328
-
The
square root of 13083244338749312 is 114382010.5556346303 -
The
cube root of 13083244338749312 is 235634.2866952589
Scales and comparisons
How big is 13083244338749312?- 13,083,244,338,749,312 seconds is equal to 416,006,700 years, 43 weeks, 4 days, 21 hours, 28 minutes, 32 seconds.
-
To count from 1 to 13,083,244,338,749,312 would take you about one billion, two hundred forty-eight million, twenty thousand, one hundred two 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 13083244338749312 cubic inches would be around 19636.2 feet tall.
Recreational maths with 13083244338749312
- 13083244338749312 backwards is 21394783344238031
- The number of decimal digits it has is: 17
- The sum of 13083244338749312's digits is 65
- More coming soon!
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"Number 13083244338749312 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13083244338749312 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13083244338749312/
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Numbermatics. 2024. "Number 13083244338749312 - Facts about the integer". https://numbermatics.com/n/13083244338749312/
The information we have on file for 13083244338749312 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!
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