12948961940521984
12,948,961,940,521,984 is an even composite number composed of five prime numbers multiplied together.
12948961940521984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 12948961940521984:
210 × 132 × 373 × 972 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 37 × 37 × 37 × 97 × 97 × 157)See below for interesting mathematical facts about the number 12948961940521984 from the Numbermatics database.
Names of 12948961940521984
- Cardinal: 12948961940521984 can be written as Twelve quadrillion, nine hundred forty-eight trillion, nine hundred sixty-one billion, nine hundred forty million, five hundred twenty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.2948961940521984 × 1016
Factors of 12948961940521984
Divisors of 12948961940521984
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 8 13 16 26 32 37 52 64 74 97 104 128 148 157 169 194 208 256 296 314 338 388 416 481 512 592 628 676 776 832 962 1024 1184 1256 1261 1352 1369 1552 1664 1924 2041 2368 2512 2522 2704 2738 3104 3328 3589 3848 4082 4736 5024 5044 5408 5476 5809 6208 6253 6656 7178 7696 8164 9409 9472 10048 10088 10816 10952 11618 12416 12506 13312 14356 15229 15392 16328 16393 17797 18818 18944 20096 20176 21632 21904 23236 24832 25012 26533 28712 30458 30784 32656 32786 35594 37636 37888 40192 40352 43264 43808 46472 46657 49664 50024 50653 53066 57424 60916 61568 65312 65572 71188 75272 75517 80384 80704 86528 87616 92944 93314 99328 100048 101306 106132 114848 121832 122317 123136 130624 131144 132793 142376 150544 151034 160768 161408 173056 175232 185888 186628 197977 200096 202612 212264 214933 229696 231361 243664 244634 246272 261248 262288 265586 284752 301088 302068 322816 348133 350464 371776 373256 395954 400192 405224 424528 429866 459392 462722 487328 489268 492544 522496 524576 531172 563473 569504 602176 604136 606541 645632 658489 696266 700928 743552 746512 791908 800384 810448 849056 859732 918784 925444 974656 978536 981721 1044992 1049152 1062344 1126946 1139008 1204352 1208272 1213082 1291264 1316978 1392532 1401856 1477213 1487104 1493024 1583816 1590121 1600768 1620896 1698112 1719464 1726309 1837568 1850888 1949312 1957072 1963442 2089984 2098304 2124688 2253892 2278016 2408704 2416544 2426164 2573701 2633956 2785064 2794129 2954426 2974208 2986048 3167632 3180242 3201536 3241792 3396224 3438928 3452618 3675136 3701776 3898624 3914144 3926884 4196608 4249376 4507784 4525729 4556032 4817408 4833088 4852328 4913341 5147402 5267912 5570128 5588258 5908852 5948416 5972096 6335264 6360484 6403072 6483584 6792448 6877856 6905236 7325149 7403552 7797248 7828288 7853768 7952521 8393216 8498752 8560357 9015568 9051458 9112064 9634816 9666176 9704656 9826682 10294804 10535824 11140256 11176516 11817704 11944192 12670528 12720968 12880921 12967168 13584896 13755712 13810472 14650298 14807104 15594496 15656576 15707536 15905042 16786432 16997504 17120714 18031136 18102916 18224128 19203769 19332352 19409312 19653364 20589608 20848501 21071648 22280512 22353032 22442017 23635408 23888384 25341056 25441936 25761842 25934336 27169792 27511424 27620944 29300596 29614208 31313152 31415072 31810084 33995008 34241428 36062272 36205832 36323677 38407538 38664704 38818624 39306728 41179216 41697002 42143296 44561024 44706064 44884034 47270816 47776768 50682112 50883872 51523684 51868672 54656881 55022848 55241888 58601192 58834477 59228416 62626304 62830144 63620168 63873433 67990016 68482856 72124544 72411664 72647354 76815076 77329408 77637248 78613456 82358432 83394004 84286592 89122048 89412128 89768068 94541632 95226937 101364224 101767744 103047368 103382773 109313762 110045696 110483776 117202384 117668954 118456832 125252608 125660288 127240336 127746866 135980032 136965712 144249088 144823328 145294708 153630152 155274496 157226912 164716864 166788008 167451973 168573184 178244096 178824256 179536136 189083264 190453874 202728448 203535488 206094736 206765546 218627524 220091392 220967552 234404768 235337908 236913664 249648997 251320576 254480672 255493732 271030513 273931424 288498176 289646656 290589416 307260304 310548992 314453824 329433728 333576016 334903946 337146368 356488192 357648512 359072272 378166528 380907748 407070976 412189472 413531092 437255048 441935104 468809536 470675816 476594077 499297994 502641152 508961344 510987464 542061026 547862848 576996352 579293312 581178832 614520608 621097984 628907648 658867456 667152032 669807892 674292736 710539453 715297024 718144544 756333056 761815496 771394537 814141952 824378944 827062184 830354629 874510096 883870208 937619072 941351632 953188154 998595988 1005282304 1017922688 1021974928 1084122052 1095725696 1158586624 1162357664 1229041216 1257815296 1317734912 1334304064 1339615784 1343976049 1421078906 1430594048 1436289088 1512666112 1523630992 1542789074 1628283904 1648757888 1654124368 1660709258 1749020192 1767740416 1875238144 1882703264 1906376308 1997191976 2022304597 2035845376 2043949856 2168244104 2176875649 2191451392 2317173248 2324715328 2458082432 2515630592 2635469824 2668608128 2679231568 2687952098 2842157812 2861188096 2872578176 3047261984 3085578148 3297515776 3308248736 3321418516 3498040384 3523396669 3750476288 3765406528 3812752616 3994383952 4044609194 4071690752 4087899712 4336488208 4353751298 4382902784 4634346496 4649430656 4916164864 5031261184 5337216256 5358463136 5375904196 5684315624 5745156352 6094523968 6171156296 6195723001 6595031552 6616497472 6642837032 6996080768 7046793338 7500952576 7530813056 7625505232 7988767904 8089218388 8143381504 8175799424 8672976416 8707502596 8765805568 9237012889 9298861312 9832329728 10028128981 10674432512 10716926272 10751808392 11368631248 11490312704 12189047936 12342312592 12391446002 13190063104 13232994944 13285674064 13992161536 14093586676 15061626112 15251010464 15977535808 16178436776 16351598848 17345952832 17415005192 18474025778 18597722624 19664659456 20056257962 21348865024 21433852544 21503616784 22737262496 22980625408 24378095872 24684625184 24782892004 26289959761 26465989888 26571348128 27984323072 28187173352 30123252224 30502020928 31955071616 32356873552 32703197696 34691905664 34830010384 36948051556 37195445248 40112515924 42867705088 43007233568 45474524992 48756191744 49369250368 49565784008 52579919522 52931979776 53142696256 55968646144 56374346704 60246504448 61004041856 63910143232 64713747104 65406395392 69383811328 69660020768 73896103112 74825270089 80225031848 80544399013 85735410176 86014467136 90949049984 97512383488 98738500736 99131568016 105159839044 105863959552 106285392512 112748693408 122008083712 127820286464 129427494208 130365676753 138767622656 139320041536 147792206224 149650540178 160450063696 161088798026 171470820352 172028934272 181898099968 197477001472 198263136032 210319678088 212570785024 225497386816 244016167424 255640572928 258854988416 260731353506 277535245312 278640083072 295584412448 299301080356 320900127392 322177596052 341769476893 344057868544 363796199936 394954002944 396526272064 420639356176 425141570048 450994773632 488032334848 517709976832 521462707012 557280166144 591168824896 598602160712 641800254784 644355192104 683538953786 688115737088 727592399872 789908005888 793052544128 841278712352 850283140096 901989547264 972728511157 1035419953664 1042925414024 1114560332288 1182337649792 1197204321424 1283600509568 1288710384208 1367077907572 1376231474176 1586105088256 1682557424704 1803979094528 1945457022314 2070839907328 2085850828048 2229120664576 2364675299584 2394408642848 2567201019136 2577420768416 2734155815144 3172210176512 3365114849408 3607958189056 3890914044628 4171701656096 4729350599168 4788817285696 5134402038272 5154841536832 5468311630288 6344420353024 6730229698816 7781828089256 8343403312192 9458701198336 9577634571392 10268804076544 10309683073664 10936623260576 12645470645041 13460459397632 15563656178512 16686806624384 19155269142784 20619366147328 21873246521152 25290941290082 26920918795264 31127312357024 33373613248768 38310538285568 41238732294656 43746493042304 50581882580164 62254624714048 66747226497536 76621076571136 82477464589312 87492986084608 101163765160328 124509249428096 133494452995072 174985972169216 202327530320656 249018498856192 349971944338432 404655060641312 498036997712384 809310121282624 996073995424768 1618620242565248 3237240485130496 6474480970260992 12948961940521984
- Sum of all divisors σ(n): 29293662729294360
- Sum of proper divisors (its aliquot sum) s(n): 16344700788772376
- 12948961940521984 is an abundant number, because the sum of its proper divisors (16344700788772376) is greater than itself. Its abundance is 3395738848250392
Bases of 12948961940521984
- Binary: 1011100000000100000011001001001010110011000100000000002
- Hexadecimal: 0x2E010324ACC400
- Base-36: 3JI0UZR3HTS
Squares and roots of 12948961940521984
- 12948961940521984 squared (129489619405219842) is 167675615337086865498850387296256
- 12948961940521984 cubed (129489619405219843) is 2171225161353542080214626729254030369059088891904
-
The
square root of 12948961940521984 is 113793505.7045083923 -
The
cube root of 12948961940521984 is 234825.3535075529
Scales and comparisons
How big is 12948961940521984?- 12,948,961,940,521,984 seconds is equal to 411,736,935 years, 48 weeks, 5 days, 23 hours, 13 minutes, 4 seconds.
-
To count from 1 to 12,948,961,940,521,984 would take you about one billion, two hundred thirty-five million, two hundred ten thousand, eight hundred seven 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 12948961940521984 cubic inches would be around 19568.8 feet tall.
Recreational maths with 12948961940521984
- 12948961940521984 backwards is 48912504916984921
- The number of decimal digits it has is: 17
- The sum of 12948961940521984's digits is 82
- More coming soon!
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"Number 12948961940521984 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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The information we have on file for 12948961940521984 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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