138164685468535440
138,164,685,468,535,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138164685468535440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1800 divisors.
138164685468535440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138164685468535440:
24 × 34 × 5 × 112 × 13 × 10612 × 12041
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 1061 × 1061 × 12041)See below for interesting mathematical facts about the number 138164685468535440 from the Numbermatics database.
Names of 138164685468535440
- Cardinal: 138164685468535440 can be written as One hundred thirty-eight quadrillion, one hundred sixty-four trillion, six hundred eighty-five billion, four hundred sixty-eight million, five hundred thirty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3816468546853544 × 1017
Factors of 138164685468535440
Divisors of 138164685468535440
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 81 88 90 99 104 108 110 117 120 121 130 132 135 143 144 156 162 165 176 180 195 198 208 216 220 234 240 242 260 264 270 286 297 312 324 330 351 360 363 390 396 405 429 432 440 468 484 495 520 528 540 572 585 594 605 624 648 660 702 715 720 726 780 792 810 858 880 891 936 968 990 1040 1053 1061 1080 1089 1144 1170 1188 1210 1287 1296 1320 1404 1430 1452 1485 1560 1573 1584 1620 1716 1755 1782 1815 1872 1936 1980 2106 2122 2145 2160 2178 2288 2340 2376 2420 2574 2640 2808 2860 2904 2970 3120 3146 3183 3240 3267 3432 3510 3564 3630 3861 3960 4212 4244 4290 4356 4455 4680 4719 4752 4840 5148 5265 5305 5445 5616 5720 5808 5940 6292 6366 6435 6480 6534 6864 7020 7128 7260 7722 7865 7920 8424 8488 8580 8712 8910 9360 9438 9549 9680 9801 10296 10530 10610 10890 11440 11583 11671 11880 12041 12584 12732 12870 13068 13793 14040 14157 14256 14520 15444 15730 15915 16335 16848 16976 17160 17424 17820 18876 19098 19305 19602 20592 21060 21220 21780 23166 23342 23595 23760 24082 25168 25464 25740 26136 27586 28080 28314 28647 29040 30888 31460 31830 32670 34320 35013 35640 36123 37752 38196 38610 39204 41379 42120 42440 42471 43560 46332 46684 47190 47745 48164 49005 50928 51480 52272 55172 56628 57294 57915 58355 60205 61776 62920 63660 65340 68965 70026 70785 71280 72246 75504 76392 77220 78408 82758 84240 84880 84942 85941 87120 92664 93368 94380 95490 96328 98010 102960 105039 108369 110344 113256 114588 115830 116710 120410 124137 125840 127320 127413 128381 130680 132451 137930 140052 141570 143235 144492 151723 152784 154440 156533 156816 165516 169884 171882 175065 180615 185328 186736 188760 190980 192656 196020 206895 210078 212355 216738 220688 226512 229176 231660 233420 240820 248274 254640 254826 256762 261360 264902 275860 280104 283140 286470 288984 303446 308880 313066 315117 325107 331032 339768 343764 350130 361230 372411 377520 381960 385143 392040 397353 413790 420156 424710 429705 433476 455169 458352 463320 466840 469599 481640 496548 509652 513524 525195 529804 541845 551720 560208 566280 572940 577968 606892 620685 626132 630234 637065 641905 650214 662064 662255 679536 687528 700260 722460 744822 758615 763920 770286 782665 784080 794706 827580 840312 849420 859410 866952 910338 926640 933680 939198 945351 963280 975321 993096 1019304 1027048 1050390 1059608 1083690 1103440 1117233 1125721 1132560 1145880 1155429 1192059 1213784 1241370 1252264 1260468 1274130 1283810 1300428 1324510 1365507 1375056 1400520 1408797 1444920 1456961 1489644 1517230 1540572 1565330 1575585 1589412 1625535 1655160 1668953 1680624 1698840 1718820 1721863 1733904 1820676 1862055 1878396 1890702 1925715 1950642 1986192 1986765 2038608 2054096 2100780 2119216 2167380 2234466 2251442 2275845 2291760 2310858 2347995 2384118 2427568 2482740 2504528 2520936 2548260 2567620 2600856 2649020 2731014 2801040 2817594 2889840 2913922 2979288 3034460 3081144 3130660 3151170 3178824 3251070 3310320 3337906 3377163 3397680 3437640 3443726 3466287 3576177 3641352 3724110 3756792 3781404 3851430 3901284 3973530 4096521 4201560 4226391 4334760 4370883 4468932 4502884 4551690 4621716 4695990 4726755 4768236 4876605 4965480 5006859 5041872 5096520 5135240 5165589 5201712 5298040 5462028 5586165 5628605 5635188 5777145 5827844 5958576 5960295 6068920 6162288 6261320 6302340 6357648 6502140 6675812 6754326 6827535 6875280 6887452 6932574 7043985 7152354 7282704 7284805 7448220 7513584 7562808 7702860 7802568 7947060 8193042 8344765 8403120 8452782 8609315 8669520 8741766 8937864 9005768 9103380 9243432 9391980 9453510 9536472 9753210 9930960 10013718 10131489 10193040 10270480 10331178 10398861 10596080 10728531 10924056 11172330 11257210 11270376 11554290 11655688 11920590 12137840 12289563 12382931 12522640 12604680 12679173 12775501 13004280 13112649 13351624 13508652 13655070 13774904 13865148 14087970 14304708 14569610 14634373 14896440 15020577 15125616 15405720 15496767 15605136 15894120 16386084 16689530 16885815 16905564 17218630 17331435 17483532 17875728 17880885 18011536 18206760 18486864 18783960 18907020 18940493 19072944 19506420 20027436 20262978 20482605 20662356 20797722 21131955 21457062 21848112 21854415 22344660 22514420 22540752 23108580 23311376 23841180 24579126 24765862 25034295 25209360 25358346 25551002 25827945 26008560 26225298 26703248 27017304 27310140 27549808 27730296 28175940 28609416 29139220 29268746 29792880 30041154 30394467 30811440 30993534 31788240 32772168 33379060 33771630 33811128 34437260 34662870 34967064 35761770 36413520 37148793 37567920 37814040 37880986 38326503 39012840 39337947 40054872 40525956 40965210 41324712 41595444 42263910 42914124 43708830 43903119 44689320 45028840 45061731 46217160 46490301 47682360 49158252 49531724 50068590 50657445 50716692 51102004 51655890 51994305 52450596 53642655 54034608 54620280 55460592 56351880 56821479 57218832 58278440 58537492 60082308 60788934 61447815 61914655 61987068 63395865 63877505 65544336 65563245 66758120 67543260 67622256 68874520 69325740 69934128 71523540 73171865 74297586 75102885 75628080 75761972 76653006 77483835 78025680 78675894 80109744 81051912 81930420 82649424 83190888 84527820 85828248 87417660 87806238 89378640 90057680 90123462 91183401 92434320 92980602 94702465 95364720 98316504 99063448 100137180 101314890 101433384 102204008 103311780 103988610 104901192 107285310 109240560 111446379 112703760 113642958 114979509 116556880 117074984 118013841 120164616 121577868 122895630 123829310 123974136 126791730 127755010 131126490 131709357 133516240 135086520 135185193 136212241 137749040 138651480 139470903 140530511 143047080 146343730 148595172 150205770 151523944 151972335 153306012 154967670 157351788 160978103 162103824 163860840 166081513 166381776 169055640 170464437 171656496 174835320 175612476 180246924 182366802 185743965 185961204 189404930 191632515 196633008 196689735 198126896 200274360 202629780 202866768 204408016 206623560 207977220 209802384 214570620 219515595 222892758 225308655 227285916 229959018 232451505 234149968 236027682 240329232 243155736 245791260 247658620 247948272 253583460 255510020 262252980 263418714 270173040 270370386 272424482 277302960 278941806 281061022 284107395 286094160 292687460 297190344 300411540 303047888 303944670 306612024 309935340 314703576 321956206 327721680 332163026 334339137 338111280 340928874 344938527 349670640 351224952 360493848 364733604 371487930 371922408 378809860 383265030 393379470 395128071 400548720 405259560 408636723 413247120 415954440 421591533 429141240 439031190 445785516 450617310 454571832 455917005 459918036 464903010 472055364 482934309 486311472 491582520 495317240 498244539 507166920 511020040 511393311 524505960 526837428 540740772 544848964 557231895 557883612 562122044 568214790 574897545 585374920 590069205 594380688 600823080 607889340 613224048 619870680 629407152 643912412 658546785 664326052 668678274 675925965 681061205 681857748 689877054 697354515 702449904 702652555 720987696 729467208 742975860 743844816 757619720 766530060 786758940 790256142 804890515 810519120 817273446 830407565 831908880 843183066 852322185 858282480 878062380 891571032 901234620 909143664 911834010 919836072 929806020 944110728 965868618 983165040 990634480 996489078 1003017411 1014333840 1022040080 1022786622 1034815581 1049011920 1053674856 1081481544 1089697928 1114463790 1115767224 1124244088 1136429580 1149795090 1170749840 1180138410 1185384213 1201646160 1215778680 1225910169 1239741360 1264774599 1287824824 1317093570 1328652104 1337356548 1351851930 1362122410 1363715496 1379754108 1394709030 1405305110 1448802927 1458934416 1485951720 1494733617 1515239440 1533060120 1534179933 1545835621 1573517880 1580512284 1609781030 1634546892 1660815130 1671695685 1686366132 1704644370 1724692635 1756124760 1770759133 1783142064 1802469240 1823668020 1826896643 1839672144 1859612040 1888221456 1931737236 1975640355 1992978156 2006034822 2043183615 2045573244 2069631162 2107349712 2107957665 2162963088 2179395856 2228927580 2231534448 2248488176 2272859160 2299590180 2360276820 2370768426 2414671545 2431557360 2451820338 2491222695 2529549198 2556966555 2575649648 2634187140 2657304208 2674713096 2703703860 2724244820 2727430992 2759508216 2789418060 2810610220 2897605854 2971903440 2989467234 3066120240 3068359866 3091671242 3147035760 3161024568 3219562060 3269093784 3321630260 3343391370 3372732264 3409288740 3449385270 3512249520 3541518266 3604938480 3647336040 3653793286 3677730507 3719224080 3794323797 3863474472 3951280710 3985956312 4012069644 4086367230 4091146488 4139262324 4215915330 4346408781 4457855160 4484200851 4545718320 4599180360 4637506863 4720553640 4741536852 4829343090 4903640676 4982445390 5015087055 5059098396 5113933110 5174077905 5268374280 5312277399 5349426192 5407407720 5448489640 5480689929 5519016432 5578836120 5621220440 5795211708 5926921065 5978934468 6129550845 6136719732 6183342484 6322049136 6323872995 6439124120 6538187568 6643260520 6686782740 6745464528 6818577480 6898770540 7083036532 7244014635 7294672080 7307586572 7355461014 7473668085 7588647594 7670899665 7726948944 7729178105 7902561420 7971912624 8024139288 8172734460 8182292976 8278524648 8431830660 8692817562 8853795665 8915710320 8968401702 9134483215 9198360720 9275013726 9441107280 9483073704 9658686180 9807281352 9964890780 10030174110 10118196792 10227866220 10348155810 10536748560 10624554798 10814815440 10896979280 10961379858 11033191521 11157672240 11242440880 11382971391 11590423416 11853842130 11957868936 12259101690 12273439464 12366684968 12647745990 12878248240 13039226343 13286521040 13373565480 13452602553 13554806561 13637154960 13797541080 13912520589 14166073064 14488029270 14615173144 14710922028 14947336170 15177295188 15341799330 15458356210 15805122840 15936832197 16048278576 16345468920 16442069787 16557049296 16863661320 17385635124 17707591330 17936803404 18268966430 18388652535 18550027452 18966147408 18971618985 19317372360 19614562704 19929781560 20060348220 20095863073 20236393584 20455732440 20696311620 21249109596 21732043905 21922759716 22066383042 22421004255 22765942782 23180846832 23187534315 23707684260 23915737872 24518203380 24546878928 24733369936 25295491980 26078452686 26561386995 26747130960 26905205106 27109613122 27403449645 27595082160 27825041178 28332146128 28976058540 29230346288 29421844056 29894672340 30354590376 30683598660 30916712420 31610245680 31873664394 32690937840 32884139574 33727322640 34771270248 35415182660 35873606808 36537932860 36777305070 37100054904 37943237970 38634744720 39859563120 40120696440 40191726146 40664419683 40911464880 41392623240 41737561767 42498219192 43464087810 43845519432 44132766084 44842008510 45531885564 46375068630 47415368520 47810496591 49036406760 49326209361 50590983960 52156905372 53122773990 53810410212 54219226244 54806899290 55165957605 55650082356 56914856955 57952117080 58843688112 59789344680 60287589219 60709180752 61367197320 61833424840 63747328788 65196131715 65768279148 67263012765 67774032805 69542540496 69562602945 70830365320 71747213616 73075865720 73554610140 74200109808 75886475940 79684160985 80241392880 80383452292 81328839366 82210348935 82785246480 83475123534 84996438384 86928175620 87691038864 88265532168 89684017020 91063771128 92750137260 94830737040 95620993182 98072813520 98652418722 100479315365 101181967920 104313810744 106245547980 107620820424 108438452488 109613798580 110331915210 111300164712 113829713910 115904234160 119578689360 120575178438 121993259049 122734394640 123666849680 125212685301 127494657576 130392263430 131536558296 134526025530 135548065610 139125205890 141660730640 143431489773 146151731440 147109220280 147978628083 149102872171 151772951880 159368321970 160766904584 162657678732 164420697870 166950247068 173856351240 176212485293 176531064336 179368034040 180862767657 182127542256 185500274520 191241986364 197304837444 200958630730 203322098415 208627621488 208687808835 212491095960 215241640848 216876904976 219227597160 220663830420 222600329424 227659427820 239052482955 241150356876 243986518098 246631046805 250425370602 254989315152 260784526860 263073116592 269052051060 271096131220 278250411780 286862979546 294218440560 295957256166 298205744342 301437946095 303545903760 318736643940 321533809168 325315357464 328841395740 333900494136 347712702480 352424970586 358736068080 361725535314 365979777147 371000549040 382483972728 394609674888 401917261460 406644196830 417375617670 424982191920 438455194320 441327660840 447308616513 455318855640 478104965910 482300713752 487973036196 493262093610 500850741204 521569053720 528637455879 538104102120 542192262440 542588302971 556500823560 573725959092 591914512332 596411488684 602875892190 609966295245 626063426505 637473287880 650630714928 657682791480 667800988272 704849941172 717157448865 723451070628 731959554294 739893140415 745514360855 764967945456 789219349776 803834522920 813288393660 834751235340 881062426465 882655321680 894617233026 904313838285 910637711280 956209931820 964601427504 975946072392 986524187220 1001701482408 1043138107440 1057274911758 1076208204240 1084384524880 1085176605942 1097939331441 1113001647120 1147451918184 1183829024664 1192822977368 1205751784380 1219932590490 1252126853010 1274946575760 1315365582960 1341925849539 1409699882344 1434314897730 1446902141256 1463919108588 1479786280830 1491028721710 1585912367637 1607669045840 1626576787320 1627764908913 1640131593881 1669502470680 1762124852930 1789234466052 1808627676570 1829898885735 1912419863640 1938337338223 1951892144784 1973048374440 2003402964816 2114549823516 2170353211884 2195878662882 2236543082565 2294903836368 2367658049328 2385645954736 2411503568760 2439865180980 2504253706020 2643187279395 2683851699078 2712941514855 2819399764688 2868629795460 2893804282512 2927838217176 2959572561660 2982057443420 3171824735274 3253153574640 3255529817826 3280263187762 3339004941360 3524249705860 3578468932104 3617255353140 3659797771470 3824839727280 3876674676446 3946096748880 4025777548617 4229099647032 4340706423768 4391757325764 4473086165130 4757737102911 4823007137520 4879730361960 4920394781643 5008507412040 5286374558790 5367703398156 5425883029710 5489696657205 5737259590920 5815012014669 5855676434352 5919145123320 5964114886840 6343649470548 6511059635652 6560526375524 6709629247695 7048499411720 7156937864208 7234510706280 7319595542940 7753349352892 7929561838185 8051555097234 8138824544565 8200657969405 8458199294064 8681412847536 8783514651528 8946172330260 9515474205822 9691686691115 9759460723920 9840789563286 10017014824080 10572749117580 10735406796312 10851766059420 10979393314410 11474519181840 11630024029338 11838290246640 11928229773680 12077332645851 12687298941096 13022119271304 13121052751048 13419258495390 14096998823440 14273211308733 14469021412560 14639191085880 14761184344929 15506698705784 15859123676370 16103110194468 16277649089130 16401315938810 17445036044007 17567029303056 17892344660520 19030948411644 19383373382230 19681579126572 20128887743085 21145498235160 21321710720453 21470813592624 21703532118840 21958786628820 23260048058676 23788685514555 24154665291702 24601973908215 25374597882192 26044238542608 26242105502096 26838516990780 28546422617466 29075060073345 29278382171760 29522368689858 31013397411568 31718247352740 32206220388936 32555298178260 32802631877620 34890072088014 35784689321040 38061896823288 38766746764460 39363158253144 40257775486170 42290996470320 42643421440906 43407064237680 43917573257640 44283553034787 46520096117352 47577371029110 48309330583404 49203947816430 52335108132021 53677033981560 57092845234932 58150120146690 59044737379716 60386663229255 63436494705480 63965132161359 64412440777872 65110596356520 65605263755240 69780144176028 71366056543665 73805921724645 76123793646576 77533493528920 78726316506288 80515550972340 85286842881812 87225180220035 87835146515280 88567106069574 93040192234704 95154742058220 96618661166808 98407895632860 104670216264042 106608553602265 107354067963120 114185690469864 116300240293380 118089474759432 120773326458510 126872989410960 127930264322718 130221192713040 131210527510480 132850659104361 139560288352056 142732113087330 147611843449290 155066987057840 157005324396063 161031101944680 170573685763624 174450360440070 177134212139148 190309484116440 191895396484077 193237322333616 196815791265720 209340432528084 213217107204530 221417765173935 228371380939728 232600480586760 236178949518864 241546652917020 255860528645436 261675540660105 265701318208722 279120576704112 285464226174660 295223686898580 314010648792126 319825660806795 322062203889360 341147371527248 348900720880140 354268424278296 380618968232880 383790792968154 393631582531440 418680865056168 426434214409060 442835530347870 465200961173520 483093305834040 511721057290872 523351081320210 531402636417444 570928452349320 575686189452231 590447373797160 628021297584252 639651321613590 664253295521805 697801441760280 708536848556592 767581585936308 785026621980315 837361730112336 852868428818120 885671060695740 959476982420385 966186611668080 1023442114581744 1046702162640420 1062805272834888 1141856904698640 1151372378904462 1180894747594320 1256042595168504 1279302643227180 1328506591043610 1395602883520560 1535163171872616 1570053243960630 1705736857636240 1727058568356693 1771342121391480 1918953964840770 2093404325280840 2125610545669776 2302744757808924 2512085190337008 2558605286454360 2657013182087220 2878430947261155 3070326343745232 3140106487921260 3454117136713386 3542684242782960 3837907929681540 4186808650561680 4605489515617848 5117210572908720 5314026364174440 5756861894522310 6280212975842520 6908234273426772 7675815859363080 8635292841783465 9210979031235696 10628052728348880 11513723789044620 12560425951685040 13816468546853544 15351631718726160 17270585683566930 23027447578089240 27632937093707088 34541171367133860 46054895156178480 69082342734267720 138164685468535440
- Sum of all divisors σ(n): 568613151268708392
- Sum of proper divisors (its aliquot sum) s(n): 430448465800172952
- 138164685468535440 is an abundant number, because the sum of its proper divisors (430448465800172952) is greater than itself. Its abundance is 292283780331637512
Bases of 138164685468535440
- Binary: 1111010101101110000001100101001011101101100001010100100002
- Hexadecimal: 0x1EADC0CA5DB0A90
- Base-36: 11SFAK9HI100
Squares and roots of 138164685468535440
- 138164685468535440 squared (1381646854685354402) is 19089480310619328177398258535993600
- 138164685468535440 cubed (1381646854685354403) is 2637492042874519689249218110275808024411517213184000
-
The
square root of 138164685468535440 is 371705105.5185218195 -
The
cube root of 138164685468535440 is 516970.4079484091
Scales and comparisons
How big is 138164685468535440?- 138,164,685,468,535,440 seconds is equal to 4,393,209,626 years, 24 weeks, 1 day, 23 hours, 24 minutes.
-
To count from 1 to 138,164,685,468,535,440 would take you about thirteen billion, one hundred seventy-nine million, six hundred twenty-eight thousand, eight hundred seventy-nine 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 138164685468535440 cubic inches would be around 43080.9 feet tall.
Recreational maths with 138164685468535440
- 138164685468535440 backwards is 044535864586461831
- 138164685468535440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138164685468535440's digits is 81
- 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 138164685468535440 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138164685468535440 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138164685468535440/
Chicago style:
Numbermatics. 2024. "Number 138164685468535440 - Facts about the integer". https://numbermatics.com/n/138164685468535440/
The information we have on file for 138164685468535440 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 138164685468535440, math, Factors of 138164685468535440, curriculum, school, college, exams, university, Prime factorization of 138164685468535440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-four trillion, six hundred eighty-five billion, four hundred sixty-eight million, five hundred thirty-five thousand, four hundred forty.