82964330946017472
82,964,330,946,017,472 is an even composite number composed of nine prime numbers multiplied together.
82964330946017472 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 82964330946017472:
26 × 3 × 7 × 31 × 67 × 79 × 149 × 809 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 67 × 79 × 149 × 809 × 3121)See below for interesting mathematical facts about the number 82964330946017472 from the Numbermatics database.
Names of 82964330946017472
- Cardinal: 82964330946017472 can be written as Eighty-two quadrillion, nine hundred sixty-four trillion, three hundred thirty billion, nine hundred forty-six million, seventeen thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 8.2964330946017472 × 1016
Factors of 82964330946017472
Divisors of 82964330946017472
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 67 79 84 93 96 112 124 134 149 158 168 186 192 201 217 224 237 248 268 298 316 336 372 402 434 447 448 469 474 496 536 553 596 632 651 672 744 804 809 868 894 938 948 992 1043 1072 1106 1192 1264 1302 1344 1407 1488 1608 1618 1659 1736 1788 1876 1896 1984 2077 2086 2144 2212 2384 2427 2449 2528 2604 2814 2976 3121 3129 3216 3236 3318 3472 3576 3752 3792 4154 4172 4288 4424 4619 4768 4854 4898 5056 5208 5293 5628 5663 5952 6231 6242 6258 6432 6472 6636 6944 7152 7347 7504 7584 8308 8344 8848 9238 9363 9536 9708 9796 9983 10416 10586 11256 11326 11771 12462 12484 12516 12864 12944 13272 13857 13888 14304 14539 14694 15008 15168 15879 16616 16688 16989 17143 17696 18476 18726 19416 19592 19966 20832 21172 21847 22512 22652 23542 24924 24968 25032 25079 25888 26544 27714 28608 29078 29388 29949 30016 31758 32333 33232 33376 33978 34286 35313 35392 36952 37051 37452 38832 39184 39932 41664 42344 43617 43694 45024 45304 47084 49848 49936 50064 50158 51429 51776 53088 54203 55428 58156 58776 59898 63516 63911 64666 65541 66464 66752 67956 68572 69881 70626 73904 74102 74904 75237 77664 78368 79864 82397 84688 87234 87388 90048 90608 94168 96751 96999 99696 99872 100128 100316 102858 106176 108406 110856 111153 116312 117552 119796 120541 127032 127822 129332 131082 132928 135912 137144 139762 141252 147808 148204 149808 150474 155328 156736 159728 162609 164083 164794 169376 174468 174776 175553 181216 188336 191733 193502 193998 199392 199744 200256 200632 205716 209107 209643 216812 221712 222306 232624 235104 239592 241082 246559 247191 254064 255644 258664 262164 271824 274288 279524 282504 290253 295616 296408 299616 300948 309473 319456 325218 328166 329588 338752 348936 349552 351106 361623 362432 364901 376672 379421 383466 387004 387996 398784 401264 411432 418214 419286 433624 443424 444612 447377 465029 465248 470208 479184 482164 492249 493118 494382 508128 511288 517328 524328 526659 543648 548576 559048 565008 580506 592816 599232 601896 618946 627321 638912 650436 656332 659176 677257 697872 699104 702212 723246 729802 739677 753344 758842 766932 774008 775992 788657 802528 822864 836428 838572 843787 867248 886848 889224 894754 928419 930058 930496 958368 964328 984498 986236 988764 1016256 1022576 1034656 1048656 1053318 1087296 1094703 1097152 1118096 1130016 1138263 1148581 1161012 1185632 1203792 1237892 1254642 1300872 1312664 1318352 1342131 1354514 1395087 1395744 1398208 1404424 1446492 1459604 1463749 1479354 1517684 1533864 1548016 1551984 1577314 1605056 1645728 1672856 1677144 1680293 1687574 1725913 1734496 1778448 1789508 1856838 1860116 1916736 1928656 1968996 1972472 1977528 1981241 2031771 2045152 2069312 2097312 2106636 2166311 2189406 2236192 2260032 2276526 2297162 2322024 2365971 2371264 2407584 2475784 2509284 2524889 2531361 2554307 2601744 2625328 2636704 2684262 2709028 2790174 2791488 2808848 2892984 2919208 2927498 2958708 3035368 3067728 3096032 3103968 3154628 3255203 3291456 3345712 3354288 3360586 3375148 3445743 3451826 3468992 3556896 3579016 3713676 3720232 3736771 3857312 3937992 3944944 3955056 3962482 4063542 4090304 4194624 4213272 4282037 4332622 4378812 4391247 4472384 4553052 4594324 4644048 4731942 4815168 4951568 5018568 5040879 5049778 5062722 5108614 5177739 5203488 5250656 5273408 5368524 5418056 5520599 5580348 5617696 5785968 5838416 5854996 5917416 5943723 6070736 6135456 6192064 6207936 6309256 6482317 6498933 6510406 6691424 6708576 6721172 6750296 6891486 6903652 7113792 7158032 7427352 7440464 7473542 7574667 7643329 7662921 7714624 7875984 7889888 7910112 7924964 8076247 8127084 8426544 8564074 8665244 8757624 8782494 9106104 9188648 9288096 9463884 9522739 9765609 9903136 10037136 10081758 10099556 10125444 10217228 10355478 10406976 10501312 10737048 10836112 11041198 11160696 11210313 11235392 11571936 11676832 11709992 11762051 11834832 11887446 12141472 12270912 12618512 12846111 12964634 12997866 13020812 13382848 13417152 13442344 13500592 13782972 13807304 13868687 14316064 14415899 14854704 14880928 14947084 15149334 15286658 15325842 15751968 15779776 15820224 15849928 16152494 16254168 16519453 16561797 16853088 17128148 17330488 17515248 17564988 17674223 18212208 18377296 18576192 18927768 19045478 19446951 19531218 19806272 20074272 20163516 20199112 20250888 20434456 20710956 21474096 21672224 22082396 22321392 22420626 22929987 23143872 23353664 23419984 23524102 23669664 23774892 24228741 24282944 24448367 25237024 25692222 25929268 25995732 26041624 26157397 26884688 27001184 27565944 27614608 27737374 28568217 28632128 28831798 29709408 29761856 29894168 29974259 30298668 30573316 30651684 31156943 31503936 31699856 32304988 32508336 33038906 33123594 33706176 34256296 34660976 35030496 35129976 35286153 35348446 36424416 36737291 36754592 37855536 38090956 38893902 39062436 40148544 40327032 40398224 40501776 40868912 41421912 41606061 42948192 43247697 43344448 44164792 44642784 44841252 45376219 45859974 46839968 47048204 47339328 47549784 48457482 48896734 49558359 50474048 51384444 51858536 51991464 52083248 52314794 53022669 53503303 53769376 54002368 55131888 55229216 55474748 56533729 57136434 57663596 59418816 59788336 59948518 60597336 61146632 61303368 62313886 63399712 64609976 65016672 66077812 66247188 66659173 68512592 69321952 70060992 70259952 70572306 70696892 72848832 73345101 73474582 73509184 75711072 76181912 77787804 78124872 78271559 78472191 80654064 80796448 81003552 81737824 82843824 83212122 85896384 86495394 88329584 89285568 89682504 89922777 90752438 91719948 93470829 93679936 94096408 95099568 96914964 97793468 99116718 100911293 102768888 103717072 103982928 104166496 104629588 106045338 107006606 107538752 110211873 110263776 110458432 110949496 113067458 114272868 115327192 115636171 119576672 119897036 121194672 122293264 122606736 124627772 126799424 129219952 130033344 132155624 132494376 132743147 133318346 136128657 137025184 138643904 140519904 141144612 141393784 146690202 146949164 151422144 152363824 155575608 156249744 156543118 156944382 160509909 161308128 161592896 162007104 163475648 165687648 166424244 169167563 169601187 171138569 172990788 176659168 179365008 179845554 181504876 183439896 186941658 188192816 190199136 193829928 195586936 198233436 199466231 199977519 201822586 205537776 207434144 207965856 208332992 209259176 212090676 214013212 218098601 220423746 220527552 221898992 226134916 228545736 230654384 231272342 234814677 239153344 239794072 242389344 244586528 245213472 249255544 250363657 257161037 258439904 264311248 264988752 265486294 266636692 272257314 274050368 281039808 282289224 282787568 293380404 293898328 295204909 302733879 304727648 311151216 312499488 313086236 313888764 321019818 322616256 331375296 332848488 338335126 339202374 342277138 345981576 346908513 353318336 358730016 359691108 363009752 366879792 373883316 376208461 376385632 380398272 387659856 391173872 396466872 398229441 398932462 399955038 403645172 411075552 414868288 415931712 418518352 424181352 428026424 436197202 440847492 443797984 452269832 457091472 461308768 462544684 469629354 479588144 484778688 489173056 490426944 498511088 500727314 507502689 512103043 513415707 514322074 516879808 528622496 529977504 530972588 533273384 544514628 547900913 564578448 565575136 586760808 587796656 590409818 598398693 605467758 609455296 622302432 624998976 626172472 627777528 638023513 642039636 654295803 665696976 676670252 678404748 684554276 691963152 693817026 717460032 719382216 726019504 733759584 747766632 751090971 752416922 752771264 771483111 775319712 782347744 792933744 796458882 797864924 799910076 807290344 822151104 837036704 848362704 856052848 872394404 881694984 885614727 887595968 904539664 914182944 922617536 925089368 929202029 939258708 959176288 965865233 997022176 1001454628 1015005378 1024206086 1026831414 1028644148 1057244992 1059955008 1061945176 1066546768 1089029256 1095801826 1128625383 1129156896 1131150272 1138856021 1173521616 1175593312 1180819636 1184172941 1196797386 1210935516 1244604864 1252344944 1255555056 1276047026 1284079272 1308591606 1331393952 1353340504 1356809496 1369108552 1383926304 1387634052 1396263617 1438764432 1452039008 1467519168 1495533264 1502181942 1504833844 1536309129 1542966222 1550639424 1564695488 1585867488 1592917764 1595729848 1599820152 1614580688 1643702739 1674073408 1696725408 1712105696 1744788808 1752545599 1763389968 1771229454 1809079328 1828365888 1850178736 1858404058 1878517416 1914070539 1918352576 1931730466 1994044352 2002909256 2030010756 2048412172 2053662828 2057288296 2066434363 2123890352 2133093536 2178058512 2191603652 2257250766 2258313792 2277712042 2347043232 2351186624 2361639272 2368345882 2393594772 2421871032 2461398497 2504689888 2511110112 2552094052 2568158544 2617183212 2633459227 2662787904 2706681008 2713618992 2738217104 2767852608 2775268104 2787606087 2792527234 2877528864 2897595699 2904078016 2991066528 3004363884 3009667688 3072618258 3085932444 3171734976 3185835528 3191459696 3199640304 3229161376 3287405478 3393450816 3416568063 3424211392 3489577616 3505091198 3526779936 3542458908 3552518823 3584721301 3618158656 3700357472 3716808116 3757034832 3828141078 3863460932 4005818512 4060021512 4096824344 4107325656 4114576592 4132868726 4188790851 4247780704 4266187072 4356117024 4383207304 4466164591 4514501532 4555424084 4694086464 4723278544 4736691764 4787189544 4843742064 4922796994 5009379776 5022220224 5104188104 5136317088 5234366424 5244194453 5257636797 5266918454 5413362016 5427237984 5476434208 5550536208 5575212174 5585054468 5755057728 5795191398 5982133056 6008727768 6019335376 6145236516 6171864888 6183453161 6199303089 6371671056 6382919392 6399280608 6458322752 6574810956 6761056631 6833136126 6979155232 7010182396 7053559872 7084917816 7105037646 7169442602 7384195491 7400714944 7433616232 7514069664 7656282156 7726921864 7900377681 7971992147 8011637024 8120043024 8193648688 8214651312 8229153184 8265737452 8377581702 8495561408 8712234048 8766414608 8932329182 9029003064 9110848168 9446557088 9473383528 9574379088 9687484128 9845593988 10208376208 10272634176 10468732848 10488388906 10515273594 10533836908 10754163903 10826724032 10854475968 10952868416 11101072416 11150424348 11170108936 11590382796 11662462291 12017455536 12038670752 12290473032 12343729776 12366906322 12398606178 12743342112 12765838784 12798561216 13149621912 13364237477 13398493773 13522113262 13666272252 13958310464 14020364792 14169835632 14210075292 14338885204 14768390982 14867232464 15028139328 15312564312 15453843728 15732583359 15800755362 15943984294 16023274048 16240086048 16387297376 16429302624 16458306368 16531474904 16755163404 17229789479 17532829216 17864658364 18058006128 18221696336 18550359483 18893114176 18946767056 19148758176 19374968256 19691187976 19778728903 20283169893 20416752416 20937465696 20976777812 21030547188 21067673816 21508327806 22202144832 22300848696 22340217872 23180765592 23324924582 23915976441 24034911072 24077341504 24580946064 24687459552 24733812644 24797212356 25205966887 25486684224 26299243824 26728474954 26796987546 27044226524 27332544504 28040729584 28339671264 28420150584 28677770408 29536781964 29720468419 29734464928 30625128624 30907687456 31465166718 31601510724 31887968588 32480172096 32774594752 32858605248 33062949808 33510326808 34459578958 34987386873 35065658432 35729316728 36116012256 36443392672 36709361171 37100718966 37893534112 38297516352 39382375952 39557457806 40092712431 40566339786 40833504832 41874931392 41953555624 42061094376 42135347632 43016655612 43284172127 44601697392 44680435744 46361531184 46649849164 47831952882 48069822144 49161892128 49374919104 49467625288 49594424712 50411933774 51689368437 52598487648 53456949908 53593975092 54088453048 54665089008 56081459168 56679342528 56840301168 57355540816 59073563928 59336186709 59440936838 59468929856 61250257248 61815374912 62930333436 63203021448 63775937176 66125899616 67020653616 68919157916 69974773746 71458633456 72232024512 72886785344 73418722342 74201437932 75617900661 75787068224 76303353407 78764751904 79114915612 80185424862 81132679572 81637236037 83907111248 84122188752 84270695264 86033311224 86568344254 89161405257 89203394784 89360871488 92723062368 93299698328 93549662339 95663905764 98323784256 98935250576 99188849424 100823867548 103378736874 105196975296 106913899816 107187950184 108176906096 109330178016 110128083513 112162918336 113680602336 114711081632 118147127856 118672373418 118881873676 122500514496 125860666872 126406042896 127551874352 129852516381 132251799232 134041307232 137838315832 138451102321 139949547492 142917266912 146837444684 148402875864 151235801322 152606706814 157529503808 158229831224 160370849724 162265359144 163274472074 167814222496 168244377504 168541390528 172066622448 173136688508 176441768209 178322810514 178406789568 185446124736 186599396656 187099324678 191327811528 197870501152 198377698848 201647735096 206757473748 208043278933 213827799632 214375900368 216353812192 218660356032 220256167026 227361204672 228910060221 229422163264 236294255712 237344746836 237763747352 244911708111 251721333744 252812085792 255103748704 259705032762 268082614464 275676631664 276902204642 279899094984 280648987017 285834533824 293674889368 296805751728 302471602644 305213413628 316459662448 320741699448 324530718288 326548944148 335628444992 336488755008 344133244896 346273377016 352883536418 356645621028 373198793312 374198649356 382655623056 395741002304 396755397696 403295470192 413514947496 414291361787 415353306963 416086557866 427655599264 428751800736 432707624384 440512334052 457820120442 472588511424 474689493672 475527494704 489823416222 503442667488 505624171584 510207497408 519410065524 529325304627 534123473849 551353263328 553804409284 559798189968 561297974034 587349778736 593611503456 604943205288 610426827256 624129836799 632919324896 641483398896 649061436576 653097888296 688266489792 692546754032 705767072836 713291242056 746397586624 748397298712 765311246112 781384973497 806590940384 827029894992 828582723574 830706613926 832173115732 855311198528 857503601472 881024668104 915640240884 921334520989 949378987344 951054989408 979646832444 1006885334976 1038820131048 1058650609254 1068246947698 1102706526656 1107608818568 1119596379936 1122595948068 1174699557472 1187223006912 1209886410576 1220853654512 1242874085361 1248259673598 1265838649792 1282966797792 1298122873152 1306195776592 1385093508064 1411534145672 1426582484112 1496794597424 1530622492224 1562769946994 1602370421547 1613181880768 1654059789984 1657165447148 1661413227852 1664346231464 1762049336208 1831280481768 1842669041978 1898757974688 1902109978816 1959293664888 1991271384073 2077640262096 2117301218508 2136493895396 2215217637136 2239192759872 2245191896136 2344154920491 2349399114944 2419772821152 2441707309024 2485748170722 2496519347196 2565933595584 2612391553184 2764003562967 2770187016128 2823068291344 2853164968224 2900039532509 2993589194848 3125539893988 3204740843094 3308119579968 3314330894296 3322826455704 3328692462928 3524098672416 3662560963536 3685338083956 3797515949376 3918587329776 3982542768146 4155280524192 4234602437016 4272987790792 4430435274272 4490383792272 4688309840982 4839545642304 4883414618048 4971496341444 4993038694392 5224783106368 5469694814479 5528007125934 5646136582688 5706329936448 5800079065018 5973814152219 5987178389696 6251079787976 6409481686188 6449341646923 6628661788592 6645652911408 6657384925856 7048197344832 7325121927072 7370676167912 7837174659552 7965085536292 8310561048384 8469204874032 8545975581584 8700118597527 8860870548544 8980767584544 9376619681964 9942992682888 9986077388784 10939389628958 11056014251868 11292273165376 11600158130036 11947628304438 12502159575952 12818963372376 12898683293846 13257323577184 13291305822816 13314769851712 13938899688511 14650243854144 14741352335824 15674349319104 15930171072584 16409084443437 16938409748064 17091951163168 17400237195054 17961535169088 18753239363928 19348024940769 19885985365776 19972154777568 21878779257916 22112028503736 23200316260072 23895256608876 25004319151904 25637926744752 25797366587692 26514647154368 26582611645632 27877799377022 29482704671648 31860342145168 32818168886874 33876819496128 34183902326336 34800474390108 37506478727856 38696049881538 39771970731552 39944309555136 41816699065533 43757558515832 44224057007472 46400632520144 47790513217752 50008638303808 51275853489504 51594733175384 55755598754044 58965409343296 61729412906263 63720684290336 65636337773748 69600948780216 75012957455712 77392099763076 79543941463104 83633398131066 87515117031664 88448114014944 92801265040288 95581026435504 102551706979008 103189466350768 111511197508088 123458825812526 127441368580672 131272675547496 139201897560432 150025914911424 154784199526152 167266796262132 175030234063328 176896228029888 185188238718789 185602530080576 191162052871008 206378932701536 223022395016176 246917651625052 262545351094992 278403795120864 309568399052304 334533592524264 350060468126656 370376477437578 382324105742016 412757865403072 432105890343841 446044790032352 493835303250104 525090702189984 556807590241728 619136798104608 669067185048528 740752954875156 864211780687682 892089580064704 987670606500208 1050181404379968 1238273596209216 1296317671031523 1338134370097056 1481505909750312 1728423561375364 1975341213000416 2592635342063046 2676268740194112 2963011819500624 3456847122750728 3950682426000832 5185270684126092 5926023639001248 6913694245501456 10370541368252184 11852047278002496 13827388491002912 20741082736504368 27654776982005824 41482165473008736 82964330946017472
- Sum of all divisors σ(n): 268356274421760000
- Sum of proper divisors (its aliquot sum) s(n): 185391943475742528
- 82964330946017472 is an abundant number, because the sum of its proper divisors (185391943475742528) is greater than itself. Its abundance is 102427612529725056
Bases of 82964330946017472
- Binary: 1001001101011111110011110100100110001000010111000110000002
- Hexadecimal: 0x126BF9E9310B8C0
- Base-36: MOWEFH5PMTC
Squares and roots of 82964330946017472
- 82964330946017472 squared (829643309460174722) is 6883080209320312360496577329270784
- 82964330946017472 cubed (829643309460174723) is 571050144414033609573749742943464732823978683138048
-
The
square root of 82964330946017472 is 288035294.6185891851 -
The
cube root of 82964330946017472 is 436144.5718732519
Scales and comparisons
How big is 82964330946017472?- 82,964,330,946,017,472 seconds is equal to 2,638,009,098 years, 29 weeks, 4 hours, 51 minutes, 12 seconds.
-
To count from 1 to 82,964,330,946,017,472 would take you about seven billion, nine hundred fourteen million, twenty-seven thousand, two hundred ninety-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 82964330946017472 cubic inches would be around 36345.4 feet tall.
Recreational maths with 82964330946017472
- 82964330946017472 backwards is 27471064903346928
- The number of decimal digits it has is: 17
- The sum of 82964330946017472's digits is 75
- 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 82964330946017472 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
APA style:
Numbermatics. (2024). Number 82964330946017472 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/82964330946017472/
Chicago style:
Numbermatics. 2024. "Number 82964330946017472 - Facts about the integer". https://numbermatics.com/n/82964330946017472/
The information we have on file for 82964330946017472 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 82964330946017472, math, Factors of 82964330946017472, curriculum, school, college, exams, university, Prime factorization of 82964330946017472, STEM, science, technology, engineering, physics, economics, calculator, eighty-two quadrillion, nine hundred sixty-four trillion, three hundred thirty billion, nine hundred forty-six million, seventeen thousand, four hundred seventy-two.