82189405006806916
82,189,405,006,806,916 is an even composite number composed of six prime numbers multiplied together.
82189405006806916 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred one divisors.
Prime factorization of 82189405006806916:
22 × 76 × 132 × 172 × 312 × 612
(2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 82189405006806916 from the Numbermatics database.
Names of 82189405006806916
- Cardinal: 82189405006806916 can be written as Eighty-two quadrillion, one hundred eighty-nine trillion, four hundred five billion, six million, eight hundred six thousand, nine hundred sixteen.
Scientific notation
- Scientific notation: 8.2189405006806916 × 1016
Factors of 82189405006806916
Divisors of 82189405006806916
- Number of divisors d(n): 1701
-
Complete list of divisors:
1 2 4 7 13 14 17 26 28 31 34 49 52 61 62 68 91 98 119 122 124 169 182 196 217 221 238 244 289 338 343 364 403 427 434 442 476 527 578 637 676 686 793 806 833 854 868 884 961 1037 1054 1156 1183 1274 1372 1519 1547 1586 1612 1666 1708 1891 1922 2023 2074 2108 2366 2401 2548 2821 2873 2989 3038 3094 3172 3332 3689 3721 3757 3782 3844 4046 4148 4459 4732 4802 5239 5551 5642 5746 5831 5978 6076 6188 6727 6851 7259 7378 7442 7514 7564 8092 8281 8918 8959 9604 10309 10478 10633 10829 11102 11284 11492 11662 11956 12493 13237 13454 13481 13702 14161 14518 14756 14884 15028 16337 16562 16807 17629 17836 17918 19747 20111 20618 20923 20956 21266 21658 22204 23324 24583 24986 25823 26047 26299 26474 26908 26962 27404 28322 29036 31213 32147 32674 33124 33614 35258 35836 36673 38857 39494 40222 40817 41236 41846 42532 43316 47089 47957 48373 48841 49166 49972 50813 51646 52094 52598 52948 53924 56644 57967 58621 62426 62713 63257 64294 65348 67228 70516 72163 73346 74431 75803 77714 78988 80444 81634 83692 87451 89063 92659 94178 94367 95914 96746 97682 98332 99127 101626 103292 104188 105196 114359 115351 115934 116467 117242 117649 123403 124852 125426 126514 128588 138229 140777 144326 146461 146692 148862 151606 155428 162409 163268 172081 174902 175253 178126 180761 182329 184093 185318 188356 188734 191828 193492 195364 198254 203252 212381 218491 225029 228718 229177 230702 231868 232934 234484 235298 246806 250852 253028 256711 271999 276458 277729 281554 285719 288652 292922 297724 303212 319579 324818 329623 335699 338611 341887 344162 349804 350506 355691 356252 361522 364658 368186 370636 377468 396508 405769 410347 417911 424762 436982 438991 442799 450058 457436 458354 461404 465868 470596 493612 505141 513422 521017 530621 543998 546499 552916 555458 563108 571438 585844 612157 623441 628849 639158 648613 649636 659246 660569 671398 677222 683774 688324 693889 701012 711382 723044 729316 736372 762073 800513 807457 811538 815269 820694 822341 835822 849524 863821 873964 877982 885598 900116 916708 967603 985439 996557 1010282 1025227 1026844 1042034 1061242 1075369 1087996 1092998 1110916 1136863 1142876 1204567 1224314 1226771 1246882 1257698 1265327 1276303 1278316 1288651 1297226 1318492 1321138 1342796 1354444 1367548 1387778 1422764 1486667 1499563 1514071 1524146 1529437 1575203 1601026 1604239 1614914 1623076 1630538 1641388 1644682 1671644 1727642 1755964 1771196 1796977 1903993 1935206 1944103 1960967 1970878 1993114 2000033 2020564 2050454 2084068 2122484 2150738 2185996 2237053 2273726 2307361 2349893 2370277 2393209 2409134 2448628 2453542 2489837 2493764 2515396 2530654 2552606 2577302 2594452 2642276 2760953 2775556 2840383 2872429 2925377 2973334 2979301 2999126 3028142 3048292 3058874 3072937 3099593 3150406 3202052 3208478 3229828 3261076 3289364 3455284 3535987 3575881 3593954 3610477 3647119 3714347 3807986 3825493 3870412 3888206 3921934 3941756 3986228 4000066 4100908 4285099 4301476 4364087 4401943 4474106 4540291 4547452 4614722 4623983 4699786 4740554 4786418 4818268 4857223 4907084 4979674 5061308 5105212 5154604 5334511 5432843 5521906 5603591 5652199 5680766 5706883 5744858 5756387 5850754 5946668 5958602 5998252 6046747 6056284 6117748 6145874 6199186 6300812 6416956 6773221 6898073 6975899 7071974 7104487 7151762 7176589 7187908 7220954 7294238 7428694 7527583 7615972 7650986 7776412 7843868 7958041 8000132 8431969 8570198 8587397 8728174 8803886 8857289 8934121 8948212 9020557 9080582 9229444 9247966 9399572 9481108 9572836 9714446 9906949 9959348 10406669 10496941 10598497 10669022 10690433 10865686 11026421 11043812 11207182 11229673 11304398 11361532 11413766 11489716 11512774 11701508 11917204 12093494 12291748 12398372 12578839 12955241 13327951 13546442 13608721 13726769 13796146 13951798 13979797 14143948 14208974 14303524 14353178 14441908 14588476 14857388 15055166 15301972 15659371 15916082 16151527 16449251 16591939 16752463 16863938 16941469 17140396 17174794 17428859 17456348 17607772 17714578 17868242 18041114 18161164 18495932 19326671 19428892 19494319 19813898 19882681 20107003 20477639 20813338 20855107 20993882 21196994 21338044 21380866 21510559 21697151 21731372 22052842 22414364 22459346 22608796 22827532 23025548 24186988 24751909 25031167 25157678 25273339 25492571 25910482 26000429 26655902 26778451 27092884 27217442 27453538 27592292 27903596 27959594 28417948 28706356 29995693 30110332 30548609 30813601 31318742 31782037 31832164 32303054 32367881 32898502 33183878 33336439 33504926 33727876 33882938 34000561 34349588 34857718 35429156 35736484 36082228 37341577 38029901 38653342 38988638 39225137 39565393 39627796 39765362 39948181 40214006 40294709 40955278 41626676 41710214 41987764 42327229 42393988 42761732 43021118 43394302 44105684 44918692 46486453 46936201 47412547 48286511 48831293 49503818 49731409 50062334 50315356 50546678 50985142 51820964 52000858 52693081 53311804 53556902 54434884 54907076 55706287 55919188 59023783 59991386 60111779 60789977 61097218 61627202 62001023 62538847 62637484 63143899 63564074 64606108 64735762 65797004 66367756 66672878 67009852 67765876 68001122 69348643 69715436 72846683 73478587 74189479 74683154 74833031 76059802 77184947 77306684 77977276 78450274 78607711 79130786 79530724 79896362 80428012 80589418 81910556 83420428 84654458 86042236 86788604 88051873 90686687 92358331 92972906 93295657 93872402 94825094 95261047 96087383 96573022 97662586 97858579 99007636 99462818 100124668 101093356 101970284 104001716 105386162 107113804 109615597 111412574 113060689 115144757 116143573 117267241 118047566 118590283 119982772 120223558 121579954 122002013 122194436 123254404 124002046 125077694 126287798 127128148 129471524 133345756 135286697 136002244 136460233 138697286 140749021 143343473 145693366 145985749 146957174 148378958 149366308 149666062 150573913 151880057 152119604 154369894 156900548 157215422 158261572 159792724 161178836 168418133 169308916 173263363 175218169 176103746 176913373 178447997 181373374 181737361 184716662 185945812 186591314 187449157 187744804 189650188 190522094 192174766 193146044 195325172 195717158 198925636 209969851 210772324 213840263 215695207 219231194 220239097 222474259 222825148 226121378 226575167 230289514 232287146 233355073 234534482 236095132 237180566 240447116 243159908 244004026 248004092 250155388 252575596 261391039 266209307 270573394 272920466 274575959 276957751 277394572 279637267 281498042 282062963 286686946 291386732 291971498 293914348 296290603 296757916 299332124 301147826 303760114 308739788 314430844 325405171 328553407 331403423 336836266 338005577 341819051 346526726 348119863 350436338 352207492 353826746 356895994 362746748 363474722 368851567 369433324 373182628 374898314 381044188 384349532 389944009 391434316 413166481 419939702 420782453 425529839 427680526 431390414 433373707 437771929 438462388 440478194 442007293 444948518 452242756 453150334 460579028 464574292 466710146 469068964 474361132 485440501 488008052 509926781 514350109 519326353 522782078 523831217 532418614 540294629 541146788 545840932 549151918 550253977 553915502 559274534 562996084 564125926 573373892 583942996 592581206 602295652 604323889 607520228 616363111 634806809 646508317 650810342 657106814 662806846 666827329 672611681 673672532 676011154 683638102 685010053 693053452 696239726 700872676 707653492 713791988 726949444 737703134 749796628 767309179 779888018 790269701 806013299 813005011 820870687 826332962 830131981 839879404 841564906 851059678 855361052 862780828 866747414 875543858 880956388 884014586 889897036 906300668 933420292 947006879 955221631 970881002 985243147 1003404311 1019853562 1021900243 1028700218 1033429609 1038652706 1045564156 1047662434 1054017391 1063160399 1064837228 1080589258 1098303836 1100507954 1107831004 1118549068 1128251852 1178926931 1185162412 1208647778 1212843541 1226527183 1232726222 1238393611 1249135979 1269613618 1272161527 1293016634 1301620684 1312144099 1314213628 1325613692 1333654658 1345223362 1352022308 1367276204 1370020106 1392479452 1469788957 1475406268 1496881841 1509866449 1534618358 1541673679 1559776036 1580539402 1586026169 1612026598 1626010022 1633485511 1641741374 1652665924 1660263962 1683129812 1702119356 1733494828 1751087716 1768029172 1829737273 1863465149 1894013758 1910443262 1922031713 1938704257 1941762004 1957460869 1970486294 1974440741 2006808622 2039707124 2043800486 2057400436 2066859218 2074034221 2077305412 2095324868 2108034782 2126320798 2161178516 2201015908 2277836197 2299873849 2319823961 2357853862 2392733357 2417295556 2425687082 2436839041 2453054366 2465452444 2476787222 2498271958 2539227236 2544323054 2581960969 2586033268 2624288198 2667309316 2690446724 2729608063 2740040212 2863108261 2892165367 2939577914 2945477171 2978708873 2993763682 3019732898 3033615949 3069236716 3083347358 3161078804 3172052338 3224053196 3252020044 3266971022 3283482748 3320527924 3398083507 3569487467 3600450763 3635284471 3659474546 3666818519 3726930298 3782062403 3788027516 3820886524 3844063426 3851777839 3877408514 3914921738 3940972588 3948881482 4013617244 4087600972 4133718436 4148068442 4216069564 4230267223 4252641596 4443647663 4525558219 4555672394 4599747698 4639647922 4667791303 4708281767 4715707724 4785466714 4795070371 4851374164 4873678082 4906108732 4953574444 4996543916 5088646108 5163921938 5248576396 5371164253 5459216126 5531887907 5633858191 5691035077 5726216522 5746094809 5784330734 5810923867 5879155828 5890954342 5957417746 5987527364 6039465796 6067231898 6166694716 6344104676 6533942044 6629048153 6686551417 6796167014 6896702029 7023830177 7138974934 7153301701 7200901526 7234007263 7270568942 7318949092 7333637038 7442122793 7453860596 7564124806 7688126852 7703555678 7754817028 7829843476 7897762964 8252488517 8296136884 8460534446 8585690281 8668755277 8743951853 8887295326 8905130689 9051116438 9111344788 9185008693 9199495396 9279295844 9335582606 9416563534 9570933428 9590140742 9747356164 10273506113 10327843876 10478172887 10569065143 10742328506 10791715753 10918432252 11063775814 11267716382 11382070154 11434398577 11452433044 11492189618 11568661468 11621847734 11781908684 11914835492 12134463796 12808160911 13044256043 13258096306 13373102834 13434584917 13570929799 13592334028 13702226083 13793404058 13821085187 14047660354 14277949868 14306603402 14401803052 14468014526 14541137884 14667274076 14884245586 15128249612 15407111356 15944853379 16099116943 16238767727 16504977034 16749133499 16921068892 17057873287 17171380562 17337510554 17487903706 17774590652 17810261378 18073726783 18102232876 18370017386 18671165212 18833127068 19107256441 19180281484 20041757827 20547012226 20618340197 20850962111 20956345774 21138130286 21235311643 21484657012 21583431506 22127551628 22535432764 22764140308 22868797154 22984379236 23243695468 23786584549 24986412269 25203155341 25446991297 25616321822 25667729633 26088512086 26516192612 26746205668 26869169834 26962444873 27141859598 27404452166 27586808116 27642170374 28095320708 28613206804 28936029052 29611870561 29768491172 31105533641 31678907533 31889706758 32198233886 32477535454 32674539121 32957972369 33009954068 33498266998 33565492597 34115746574 34342761124 34675021108 34975807412 35620522756 36147453566 36740034772 37598149771 38214512882 38723215349 39437007337 40083515654 40676467069 41094024452 41236680394 41701924222 41912691548 42276260572 42470623286 43166863012 45737594308 46403337071 46805859919 47573169098 49166811239 49972824538 50073111907 50406310682 50638050841 50893982594 51232643644 51335459266 52177024172 53738339668 53924889746 54283719196 54808904332 55284340748 57767419619 59223741122 60099831967 60681286939 61207662971 62211067282 62335914823 63357815066 63779413516 64295060851 64396467772 64955070908 65349078242 65915944738 66996533996 67130985194 68231493148 71914542791 72294907132 73983456001 75196299542 75542010271 76429025764 77446430698 78874014674 80040790039 80167031308 81352934138 82473360788 83403848444 84941246572 89657126377 91309792301 92806674142 93611719838 94042094419 95146338196 96747596309 98333622478 99945649076 100146223814 100812621364 101276101682 101787965188 102670918532 107849779492 111613973653 112693818601 113671374089 115534839238 117243934493 118447482244 119405113009 120199663934 121362573878 122415325942 124422134564 124671829646 126516087481 126715630132 128590121702 130698156484 131831889476 134261970388 140292304789 143829085582 145956734777 147966912002 148647181501 150392599084 151084020542 154892861396 157748029348 160081580078 162705868276 166506091843 174649603921 176422087387 178128939079 179314252754 179674107431 182619584602 185613348284 187223439676 188084188838 193495192618 196667244956 200292447628 202552203364 207283093927 217738735487 221752352731 223227947306 225387637202 227342748178 230705806583 231069678476 234487868986 234958448179 238810226018 240399327868 242725147756 244830651884 249343659292 253032174962 257180243404 271062507443 276059051359 280584609578 284735269483 287658171164 291913469554 295933824004 297294363002 302168041084 320163160156 324823359497 327641019433 333012183686 349299207842 350511783349 352844174774 354466355887 356257878158 358628505508 359348214862 365239169204 376168377676 386990385236 404371937333 414566187854 420698823769 424769008573 428453640797 435477470974 436351403761 443504705462 446455894612 450775274404 454685496356 461411613166 468975737972 469916896358 477620452036 503401799537 506064349924 528794071897 542125014886 552118102718 560285530273 561169219156 569470538966 583826939108 594588726004 639168546107 649646718994 655282038866 658294660933 666024367372 698598415684 701023566698 705688349548 708932711774 712515756316 718696429724 781297815571 788856730207 795699618623 808743874666 829132375708 835835791063 841397647538 849538017146 856907281594 870954941948 872702807522 887009410924 922823226332 939833792716 982046133523 1006803599074 1021697143439 1040530270507 1057588143794 1084250029772 1104236205436 1120571060546 1138941077932 1165542642901 1222547227447 1257718752017 1278337092214 1299293437988 1310564077732 1316589321866 1402047133396 1417865423548 1450981657489 1524171148409 1552266469117 1562595631142 1577713460414 1591399237246 1617487749332 1644709137253 1671671582126 1682795295076 1699076034292 1713814563188 1745405615044 1897437552101 1932413359513 1964092267046 1993146886381 2013607198148 2043394286878 2081060541014 2115176287588 2241142121092 2293487136031 2331085285802 2445094454894 2481264491209 2515437504034 2556674184428 2633178643732 2830603561331 2901963314978 2999175485579 3048342296818 3054459826327 3104532938234 3125191262284 3155426920828 3182798474492 3289418274506 3343343164252 3523812596759 3701558503279 3794875104202 3864826719026 3921998711911 3928184534092 3986293772762 4086788573756 4162121082028 4586974272062 4608062626531 4662170571604 4890188909788 4962528982418 5030875008068 5469084708997 5521997111449 5569897330361 5661207122662 5803926629956 5998350971158 6096684593636 6108919652654 6209065876468 6578836549012 6874322934661 7047625193518 7151880004073 7283711893549 7403117006558 7589750208404 7729653438052 7843997423822 7972587545524 8557830592129 9173948544124 9216125253062 9925057964836 10156871602423 10865865283819 10938169417994 11043994222898 11139794660722 11322414245324 11996701942316 12217839305308 13282062864707 13526893516591 13748645869322 14095250387036 14303760008146 14567423787098 14806234013116 15687994847644 17115661184258 17368851438463 18432250506124 19814224929317 20313743204846 21381218784289 21731730567638 21876338835988 22087988445796 22279589321444 24666688177313 25910909522953 26564125729414 27053787033182 27497291738644 28607520016292 29134847574196 32256438385717 34231322368516 34737702876926 38989281312527 39628449858634 40627486409692 42762437568578 43463461135276 48120260542627 49333376354626 50985983254843 51821819045906 53128251458828 54107574066364 59904814144903 64512876771434 69475405753852 71098101216961 77978562625054 79256899717268 85524875137156 92974440052949 94688254616137 96240521085254 98666752709252 101971966509686 103643638091812 119809628289806 121581960069241 129025753542868 142196202433922 155957125250108 172666817241191 185948880105898 189376509232274 192481042170508 203943933019372 225795068700019 239619256579612 243163920138482 284392404867844 336841823798389 345333634482382 371897760211796 378753018464548 419333699014321 451590137400038 486327840276964 662817782312959 673683647596778 690667268964764 838667398028642 903180274800076 1208667720688337 1325635564625918 1347367295193556 1580565480900133 1677334796057284 2417335441376674 2651271129251836 2935335893100247 3161130961800266 4834670882753348 5870671786200494 6322261923600532 11741343572400988 20547351251701729 41094702503403458 82189405006806916
- Sum of all divisors σ(n): 202771819131597261
- Sum of proper divisors (its aliquot sum) s(n): 120582414124790345
- 82189405006806916 is an abundant number, because the sum of its proper divisors (120582414124790345) is greater than itself. Its abundance is 38393009117983429
Bases of 82189405006806916
- Binary: 1001000111111111011010100000100011011101100111111100001002
- Hexadecimal: 0x123FED411BB3F84
- Base-36: MH9PNEXI16S
Squares and roots of 82189405006806916
- 82189405006806916 squared (821894050068069162) is 6755098295372937751896294105431056
- 82189405006806916 cubed (821894050068069163) is 555197509659197393598740810180772675848644341983296
-
82189405006806916 is a
perfect square number . Itssquare root is 286686946 -
The
cube root of 82189405006806916 is 434782.3899589943
Scales and comparisons
How big is 82189405006806916?- 82,189,405,006,806,916 seconds is equal to 2,613,368,850 years, 36 weeks, 20 hours, 35 minutes, 16 seconds.
-
To count from 1 to 82,189,405,006,806,916 would take you about seven billion, eight hundred forty million, one hundred six thousand, five hundred fifty-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 82189405006806916 cubic inches would be around 36231.9 feet tall.
Recreational maths with 82189405006806916
- 82189405006806916 backwards is 61960860050498128
- The number of decimal digits it has is: 17
- The sum of 82189405006806916's digits is 73
- 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 82189405006806916 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 82189405006806916 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/82189405006806916/
Chicago style:
Numbermatics. 2024. "Number 82189405006806916 - Facts about the integer". https://numbermatics.com/n/82189405006806916/
The information we have on file for 82189405006806916 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 82189405006806916, math, Factors of 82189405006806916, curriculum, school, college, exams, university, Prime factorization of 82189405006806916, STEM, science, technology, engineering, physics, economics, calculator, eighty-two quadrillion, one hundred eighty-nine trillion, four hundred five billion, six million, eight hundred six thousand, nine hundred sixteen.