3982133506480272
3,982,133,506,480,272 is an even composite number composed of six prime numbers multiplied together.
What does the number 3982133506480272 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
3982133506480272 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 3982133506480272:
24 × 36 × 112 × 132 × 17 × 9912
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 17 × 991 × 991)See below for interesting mathematical facts about the number 3982133506480272 from the Numbermatics database.
Names of 3982133506480272
- Cardinal: 3982133506480272 can be written as Three quadrillion, nine hundred eighty-two trillion, one hundred thirty-three billion, five hundred six million, four hundred eighty thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 3.982133506480272 × 1015
Factors of 3982133506480272
Divisors of 3982133506480272
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 33 34 36 39 44 48 51 52 54 66 68 72 78 81 88 99 102 104 108 117 121 132 136 143 144 153 156 162 169 176 187 198 204 208 216 221 234 242 243 264 272 286 297 306 312 324 338 351 363 374 396 408 429 432 442 459 468 484 486 507 528 561 572 594 612 624 648 663 676 702 726 729 748 792 816 858 884 891 918 936 968 972 991 1014 1053 1089 1122 1144 1188 1224 1287 1296 1326 1352 1377 1404 1452 1458 1496 1521 1573 1584 1683 1716 1768 1782 1836 1859 1872 1936 1944 1982 1989 2028 2057 2106 2178 2244 2288 2376 2431 2448 2574 2652 2673 2704 2754 2808 2873 2904 2916 2973 2992 3042 3146 3159 3267 3366 3432 3536 3564 3672 3718 3861 3888 3964 3978 4056 4114 4131 4212 4356 4488 4563 4719 4752 4862 5049 5148 5304 5346 5508 5577 5616 5746 5808 5832 5946 5967 6084 6171 6292 6318 6534 6732 6864 7128 7293 7344 7436 7722 7928 7956 8019 8112 8228 8262 8424 8619 8712 8919 8976 9126 9438 9477 9724 9801 10098 10296 10608 10692 10901 11016 11154 11492 11583 11664 11892 11934 12168 12342 12393 12584 12636 12883 13068 13464 13689 14157 14256 14586 14872 15147 15444 15856 15912 16038 16456 16524 16731 16847 16848 17238 17424 17838 17901 18252 18513 18876 18954 19448 19602 20196 20449 20592 21384 21802 21879 22032 22308 22984 23166 23784 23868 24336 24684 24786 25168 25272 25766 25857 26136 26741 26757 26928 27378 28314 29172 29403 29744 30294 30888 31603 31824 32076 32703 32912 33048 33462 33694 34476 34749 35676 35802 36504 37026 37752 37908 38649 38896 39204 40392 40898 41067 42471 42768 43604 43758 44616 45441 45968 46332 47568 47736 49368 49572 50193 50541 50544 51532 51714 52272 53482 53514 53703 54756 55539 56628 58344 58806 60588 61347 61776 63206 64152 65406 65637 66096 66924 67388 68952 69498 71352 71604 73008 74052 75504 75816 77298 77571 78408 80223 80271 80784 81796 82134 84942 87208 87516 88209 89232 90882 92664 94809 95472 98109 98736 99144 100386 101082 103064 103428 104247 106964 107028 107406 109512 111078 113256 115947 116688 117612 119911 121176 122694 123201 126412 127413 128304 130812 131274 133848 134776 136323 137904 138996 141713 142704 143208 148104 150579 151623 151632 154596 155142 156816 160446 160542 161109 163592 164268 166617 167479 169884 174416 175032 176418 181764 184041 185317 185328 189618 196218 196911 198288 200772 202164 206128 206856 208494 213928 214056 214812 219011 219024 222156 226512 231894 232713 235224 239822 240669 240813 242352 245388 246402 252824 254826 261624 262548 267696 269552 272646 277992 283426 284427 286416 294327 296208 301158 303246 309192 310284 320892 321084 322218 327184 328536 333234 334958 339768 347633 347841 350064 352836 359733 363528 368082 370634 379236 382239 392436 393822 401544 404328 413712 416988 425139 427856 428112 429624 438022 444312 451737 454869 463788 465426 470448 479644 481338 481626 490776 492804 499851 502437 505648 509652 523248 525096 545292 552123 555951 555984 566852 568854 588654 590733 602316 606492 618384 620568 641784 642168 644436 657033 657072 666468 669916 679536 695266 695682 698139 705672 719466 722007 722439 727056 736164 741268 758472 764478 784872 787644 803088 808656 833976 850278 853281 859248 876044 882981 888624 903474 909738 927576 930852 959288 962676 963252 981552 982081 985608 999702 1004874 1019304 1042899 1043523 1050192 1079199 1090584 1104246 1111902 1133704 1137708 1146717 1177308 1181466 1204632 1212984 1241136 1275417 1283568 1284336 1288872 1314066 1332936 1339832 1355211 1364607 1390532 1391364 1396278 1411344 1438932 1444014 1444878 1472328 1482536 1499553 1507311 1516944 1528956 1558843 1569744 1575288 1656369 1667853 1667952 1700556 1706562 1752088 1765962 1772199 1806948 1819476 1842269 1855152 1861704 1918576 1925352 1926504 1964162 1971099 1971216 1999404 2009748 2038487 2038608 2085798 2087046 2094417 2158398 2166021 2181168 2208492 2223804 2267408 2275416 2293434 2354616 2362932 2409121 2409264 2425968 2550834 2559843 2577744 2628132 2648943 2665872 2679664 2710422 2729214 2781064 2782728 2792556 2847143 2877864 2888028 2889756 2944656 2946243 2965072 2999106 3014622 3057912 3117686 3128697 3130569 3150576 3237597 3312738 3335706 3401112 3413124 3504176 3531924 3544398 3613896 3638952 3684538 3723408 3826251 3850704 3853008 3928324 3942198 3998808 4019496 4076974 4093821 4171596 4174092 4188834 4316796 4332042 4416984 4447608 4521933 4550832 4586868 4676529 4709232 4725864 4818242 4969107 5003559 5101668 5119686 5256264 5297886 5420844 5458428 5526807 5562128 5565456 5585112 5694286 5755728 5776056 5779512 5892486 5913297 5998212 6029244 6115461 6115824 6235372 6257394 6261138 6475194 6498063 6625476 6671412 6802224 6826248 7063848 7088796 7227363 7227792 7277904 7369076 7652502 7679529 7856648 7884396 7946829 7997616 8038992 8153948 8187642 8343192 8348184 8377668 8541429 8633592 8664084 8833968 8838729 8895216 9043866 9173736 9353058 9386091 9391707 9451728 9636484 9712791 9938214 10007118 10203336 10239372 10512528 10595772 10802891 10841688 10916856 11053614 11170224 11388572 11478753 11552112 11559024 11784972 11826594 11996424 12058488 12230922 12281463 12470744 12514788 12522276 12767053 12950388 12996126 13250952 13342824 13565799 13652496 14029587 14127696 14177592 14454726 14738152 14907321 15010677 15305004 15359058 15713296 15768792 15893658 16307896 16375284 16580421 16686384 16695377 16696368 16755336 17082858 17267184 17328168 17677458 17739891 18087732 18346383 18347472 18706116 18772182 18783414 19272968 19425582 19494189 19876428 20014236 20264959 20406672 20478744 21191544 21605782 21682089 21683376 21833712 22107228 22777144 22957506 23038587 23569944 23653188 23992848 24116976 24461844 24562926 24941488 25029576 25044552 25534106 25624287 25900776 25992252 26500331 26501904 26516187 26685648 27131598 28059174 28158273 28355184 28909452 29138373 29476304 29814642 30021354 30610008 30718116 31318573 31537584 31787316 32408673 32615792 32750568 33160842 33390754 33510672 34165716 34436259 34656336 35354916 35479782 36175464 36692766 37412232 37544364 37566828 38301159 38545936 38851164 38988378 39752856 40028472 40529918 40697397 40957488 42088761 42383088 43211564 43364178 44214456 45032031 45554288 45915012 46077174 47139888 47306376 48923688 49125852 49741263 50059152 50086131 50089104 51068212 51248574 51801552 51984504 53000662 53032374 53219673 54263196 55039149 56118348 56316546 57818904 58276746 59629284 60042708 60794877 61220016 61436232 62637146 63574632 64817346 65046267 65501136 66321684 66781508 68331432 68872518 70709832 70959564 72350928 73385532 74824464 75088728 75133656 76602318 76872861 77702328 77976756 79500993 79505712 79548561 80056944 81059836 81394794 84177522 84474819 86423128 86728356 87415119 88428912 90064062 91830024 92154348 93955719 94612752 97226019 97847376 98251704 99482526 100172262 102136424 102497148 103308777 103969008 106001324 106064748 106439346 108526392 110078298 112236696 112633092 114903477 115637808 116553492 118831801 119258568 120085416 121589754 122092191 122872464 125274292 126266283 127149264 129634692 130092534 132643368 133563016 135096093 136662864 137745036 140437583 141419664 141919128 146771064 149223789 150177456 150258393 150267312 153204636 153745722 155404656 155953512 159001986 159097122 159659019 162119672 162789588 165117447 165971689 168355044 168949638 172846256 173456712 174830238 180128124 182384631 183649147 183660048 184308696 187911438 194452038 195138801 196503408 198965052 200344524 204272848 204994296 206617554 212002648 212129496 212878692 217039901 217052784 220156596 224473392 225266184 229806954 230618583 233106984 237663602 238502979 238517136 238645683 240170832 243179508 244184382 250548584 252532566 253424457 259269384 260185068 265286736 267126032 270192186 275490072 280875166 281867157 283838256 291678057 293542128 298447578 300516786 306409272 307491444 311907024 318003972 318194244 319318038 324239344 325579176 330234894 331943378 336710088 337899276 344504303 344710431 346913424 349660476 356495403 360256248 364769262 367298294 368617392 375822876 378798849 388904076 390277602 397930104 400689048 409988592 413235108 421312749 424005296 424258992 425757384 434079802 440313192 447671367 450532368 450775179 459613908 461237166 466213968 475327204 477005958 477291366 486359016 488368764 495352341 497915067 501097168 505065132 506848914 518538768 520370136 540384372 547153893 550947441 550980144 561750332 563734314 583356114 585416403 596895156 601033572 612818544 614982888 636007944 636388488 638636076 651119703 651158352 660469788 663886756 673420176 675798552 689008606 689420862 691855749 699320952 712990806 715508937 715937049 720512496 729538524 734596588 751645752 757597698 777808152 780555204 795860208 801378096 826470216 842625498 845601471 851514768 868159604 875034171 880626384 895342734 901550358 919227816 922474332 950654408 954011916 954582732 972718032 976737528 990704682 995830134 1010130264 1013697828 1033512909 1034131293 1040740272 1069486209 1080768744 1094307786 1101894882 1123500664 1127468628 1136396547 1166712228 1170832806 1193790312 1202067144 1229965776 1263938247 1272015888 1272776976 1277272152 1302239406 1320939576 1327773512 1343014101 1351597104 1352325537 1378017212 1378841724 1383711498 1398641904 1425981612 1431017874 1431874098 1459077048 1469193176 1486057023 1493745201 1503291504 1515195396 1544813413 1555616304 1561110408 1641461679 1652842323 1652940432 1685250996 1691202942 1736319208 1750068342 1756249209 1790685468 1803100716 1825688579 1838455632 1844948664 1901308816 1908023832 1909165464 1953359109 1953475056 1981409364 1991660268 2020140617 2020260528 2027395656 2067025818 2068262586 2075567247 2138972418 2146526811 2161537488 2188615572 2203789764 2247001328 2254937256 2272793094 2333424456 2341665612 2387438911 2387580624 2404134288 2527876494 2536804413 2554544304 2604478812 2625102513 2641879152 2655547024 2686028202 2704651074 2756034424 2757683448 2767422996 2821518713 2851963224 2862035748 2863748196 2918154096 2938386352 2972114046 2987490402 3030390792 3089626826 3100538727 3102393879 3122220816 3208458627 3282923358 3305684646 3370501992 3382405884 3472638416 3500136684 3512498418 3581370936 3606201432 3651377158 3689897328 3791814741 3816047664 3818330928 3906718218 3962818728 3983320536 4040281234 4054791312 4056976611 4134051636 4136525172 4151134494 4277944836 4293053622 4377231144 4407579528 4481235603 4509874512 4545586188 4634440239 4666848912 4683331224 4774877822 4924385037 4958526969 5055752988 5073608826 5208957624 5250205026 5372056404 5409302148 5477065737 5512068848 5515366896 5534845992 5643037426 5703926448 5724071496 5727496392 5860077327 5944228092 5974980804 6060421851 6060781584 6179253652 6201077454 6204787758 6416917254 6439580433 6565846716 6611369292 6741003984 6764811768 7000273368 7024996836 7162316733 7162741872 7212402864 7302754316 7583629482 7610413239 7813436436 7875307539 7925637456 7966641072 8080562468 8113953222 8268103272 8273050344 8302268988 8464556139 8555889672 8586107244 8754462288 8815159056 8962471206 9091172376 9268880478 9301616181 9307181637 9366662448 9549755644 9625375881 9848770074 9917053938 10111505976 10147217652 10417915248 10500410052 10744112808 10818604296 10954131474 11069691984 11286074852 11375444223 11448142992 11454992784 11720154654 11888456184 11949961608 12120843702 12170929833 12358507304 12402154908 12409575516 12833834508 12879160866 13131693432 13222738584 13443706809 13529623536 13903320717 14000546736 14049993672 14324633466 14605508632 14773155111 14875580907 15167258964 15220826478 15626872872 15750615078 16161124936 16227906444 16431197211 16536206544 16546100688 16604537976 16929112278 17111779344 17172214488 17580231981 17924942412 18181265553 18182344752 18537760956 18603232362 18614363274 19099511288 19250751762 19318741299 19697540148 19834107876 20082574369 20223011952 20294435304 21000820104 21486950199 21488225616 21637208592 21908262948 22572149704 22750888446 22831239717 23440309308 23776912368 23899923216 24241687404 24341859666 24717014608 24804309816 24819151032 25393668417 25667669016 25758321732 26261828021 26263386864 26445477168 26887413618 27806641434 27904848543 28099987344 28649266932 28876127643 29211017264 29546310222 29751161814 30334517928 30441652956 31036705843 31253745744 31501230156 32322249872 32455812888 32862394422 33209075952 33858224556 34126332669 34344428976 35160463962 35849884824 36362531106 37075521912 37206464724 37228726548 38199022576 38501503524 38637482598 39395080296 39668215752 40165148738 40331120427 40588870608 41709962151 42001640208 42973900398 43816525896 44626742721 45144299408 45501776892 45662479434 46880618616 48483374808 48683719332 49293591633 49608619632 49638302064 50787336834 51335338032 51516643464 52523656042 52740695943 53774827236 54543796659 55613282868 55809697086 57298533864 57752255286 59092620444 59502323628 60247723107 60669035856 60883305912 62073411686 63002460312 64460850597 64911625776 65724788844 67716449112 68252665338 70320927924 71699769648 72725062212 74151043824 74412929448 74457453096 76181005251 77003007048 77274965196 78785484063 78790160592 79336431504 80330297476 80662240854 83419924302 83714545629 85947800796 86628382929 87633051792 89253485442 91003553784 91324958868 93110117529 93761237232 96966749616 97367438664 98587183266 101574673668 102378998007 103033286928 105047312084 105481391886 107549654472 109087593318 111226565736 111619394172 114597067728 115504510572 118185240888 119004647256 120495446214 120993361281 121766611824 124146823372 125129886453 126004920624 128921701194 131449577688 133880228163 135432898224 136505330676 140641855848 145450124424 147880774899 148825858896 148914906192 152362010502 154006014096 154549930392 157570968126 158222087829 160660594952 161324481708 163631389977 166839848604 167429091258 171895601592 173256765858 178506970884 180743169321 182007107568 182649917736 186220235058 193382551791 194734877328 197174366532 203149347336 204757996014 210094624168 210962783772 215099308944 218175186636 222453131472 223238788344 228543015753 231009021144 236356452189 236370481776 238009294512 240990892428 241986722562 248293646744 250259772906 251143636887 257843402388 262899155376 267760456326 273010661352 279330352587 281283711696 290900248848 295761549798 304724021004 309099860784 315141936252 316444175658 321321189904 322648963416 327262779954 333679697208 334858182516 341403764273 343791203184 346513531716 357013941768 361486338642 365299835472 372440470116 375389659359 386765103582 394348733064 406298694672 409515992028 420189248336 421925567544 436350373272 443642324697 446477576688 457086031506 462018042288 472712904378 481981784856 483973445124 490894169931 496587293488 500519545812 502287273774 515686804776 535520912652 542229507963 546021322704 558660705174 580147655373 591523099596 609448042008 630283872504 632888351316 645297926832 654525559908 667359394416 669716365032 682807528546 685629047259 693027063432 709069356567 714027883536 722972677284 744880940232 750779318718 773530207164 788697466128 819031984056 837991057761 843851135088 872700746544 887284649394 914172063012 945425808756 963963569712 967946890248 981788339862 1001039091624 1004574547548 1024211292819 1031373609552 1071041825304 1084459015926 1117321410348 1126168978077 1160295310746 1183046199192 1218896084016 1260567745008 1265776702632 1309051119816 1330926974091 1339432730064 1365615057092 1371258094518 1386054126864 1418138713134 1445945354568 1472682509793 1489761880464 1501558637436 1547060414328 1626688523889 1638063968112 1675982115522 1740442966119 1774569298788 1828344126024 1890851617512 1935893780496 1963576679724 2002078183248 2009149095096 2048422585638 2056887141777 2127208069701 2142083650608 2168918031852 2234642820696 2252337956154 2320590621492 2366092398384 2513973173283 2531553405264 2618102239632 2661853948182 2731230114184 2742516189036 2836277426268 2891890709136 2945365019586 3003117274872 3072633878457 3094120828656 3253377047778 3351964231044 3480885932238 3549138597576 3656688252048 3781703235024 3927153359448 4018298190192 4096845171276 4113774283554 4254416139402 4337836063704 4469285641392 4504675912308 4641181242984 4880065571667 5027946346566 5323707896364 5462460228368 5485032378072 5672554852536 5890730039172 6006234549744 6145267756914 6381624209103 6506754095556 6703928462088 6961771864476 7098277195152 7541919519849 7854306718896 8193690342552 8227548567108 8508832278804 8675672127408 9009351824616 9217901635371 9282362485968 9760131143334 10055892693132 10647415792728 10970064756144 11345109705072 11781460078344 12290535513828 12763248418206 13013508191112 13407856924176 13923543728952 14640196715001 15083839039698 16387380685104 16455097134216 17017664557608 18018703649232 18435803270742 19144872627309 19520262286668 20111785386264 21294831585456 22625758559547 23562920156688 24581071027656 25526496836412 26027016382224 27653704906113 27847087457904 29280393430002 30167678079396 32910194268432 34035329115216 36871606541484 38289745254618 39040524573336 40223570772528 45251517119094 49162142055312 51052993672824 55307409812226 58560786860004 60335356158792 73743213082968 76579490509236 78081049146672 82961114718339 90503034238188 102105987345648 110614819624452 117121573720008 120670712317584 147486426165936 153158981018472 165922229436678 181006068476376 221229639248904 234243147440016 248883344155017 306317962036944 331844458873356 362012136952752 442459278497808 497766688310034 663688917746712 995533376620068 1327377835493424 1991066753240136 3982133506480272
- Sum of all divisors σ(n): 14592942122212818
- Sum of proper divisors (its aliquot sum) s(n): 10610808615732546
- 3982133506480272 is an abundant number, because the sum of its proper divisors (10610808615732546) is greater than itself. Its abundance is 6628675109252274
Bases of 3982133506480272
- Binary: 11100010010110111010101101010001101000011000100100002
- Hexadecimal: 0xE25BAB51A1890
- Base-36: 137JQVM4900
Squares and roots of 3982133506480272
- 3982133506480272 squared (39821335064802722) is 15857387263432866482617925193984
- 3982133506480272 cubed (39821335064802723) is 63146233146949525297840636162505112196669083648
-
The
square root of 3982133506480272 is 63104148.0925007971 -
The
cube root of 3982133506480272 is 158503.4083459407
Scales and comparisons
How big is 3982133506480272?- 3,982,133,506,480,272 seconds is equal to 126,619,527 years, 49 weeks, 5 days, 20 hours, 31 minutes, 12 seconds.
-
To count from 1 to 3,982,133,506,480,272 would take you about three hundred seventy-nine million, eight hundred fifty-eight thousand, five hundred eighty-three 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 3982133506480272 cubic inches would be around 13208.6 feet tall.
Recreational maths with 3982133506480272
- 3982133506480272 backwards is 2720846053312893
- The number of decimal digits it has is: 16
- The sum of 3982133506480272's digits is 63
- 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 3982133506480272 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 3982133506480272 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/3982133506480272/
Chicago style:
Numbermatics. 2024. "Number 3982133506480272 - Facts about the integer". https://numbermatics.com/n/3982133506480272/
The information we have on file for 3982133506480272 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 3982133506480272, math, Factors of 3982133506480272, curriculum, school, college, exams, university, Prime factorization of 3982133506480272, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred eighty-two trillion, one hundred thirty-three billion, five hundred six million, four hundred eighty thousand, two hundred seventy-two.