137939957940264480
137,939,957,940,264,480 is an even composite number composed of eight prime numbers multiplied together.
137939957940264480 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137939957940264480:
25 × 32 × 5 × 7 × 112 × 13 × 44987 × 193381
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 11 × 13 × 44987 × 193381)See below for interesting mathematical facts about the number 137939957940264480 from the Numbermatics database.
Names of 137939957940264480
- Cardinal: 137939957940264480 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-nine trillion, nine hundred fifty-seven billion, nine hundred forty million, two hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3793995794026448 × 1017
Factors of 137939957940264480
Divisors of 137939957940264480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 28 30 32 33 35 36 39 40 42 44 45 48 52 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 110 112 117 120 121 126 130 132 140 143 144 154 156 160 165 168 176 180 182 195 198 208 210 220 224 231 234 240 242 252 260 264 273 280 286 288 308 312 315 330 336 352 360 363 364 385 390 396 416 420 429 440 455 462 468 480 484 495 504 520 528 546 560 572 585 605 616 624 630 660 672 693 715 720 726 728 770 780 792 819 840 847 858 880 910 924 936 968 990 1001 1008 1040 1056 1089 1092 1120 1144 1155 1170 1210 1232 1248 1260 1287 1320 1365 1386 1430 1440 1452 1456 1540 1560 1573 1584 1638 1680 1694 1716 1760 1815 1820 1848 1872 1936 1980 2002 2016 2080 2145 2178 2184 2288 2310 2340 2420 2464 2520 2541 2574 2640 2730 2772 2860 2904 2912 3003 3080 3120 3146 3168 3276 3360 3388 3432 3465 3630 3640 3696 3744 3872 3960 4004 4095 4235 4290 4356 4368 4576 4620 4680 4719 4840 5005 5040 5082 5148 5280 5445 5460 5544 5720 5808 6006 6160 6240 6292 6435 6552 6776 6864 6930 7260 7280 7392 7623 7865 7920 8008 8190 8470 8580 8712 8736 9009 9240 9360 9438 9680 10010 10080 10164 10296 10890 10920 11011 11088 11440 11616 12012 12320 12584 12705 12870 13104 13552 13728 13860 14157 14520 14560 15015 15246 15730 15840 16016 16380 16940 17160 17424 18018 18480 18720 18876 19360 20020 20328 20592 21780 21840 22022 22176 22880 23595 24024 25168 25410 25740 26208 27104 27720 28314 29040 30030 30492 31460 32032 32760 33033 33880 34320 34848 36036 36960 37752 38115 40040 40656 41184 43560 43680 44044 44987 45045 47190 48048 50336 50820 51480 55055 55440 56628 58080 60060 60984 62920 65520 66066 67760 68640 70785 72072 75504 76230 80080 81312 87120 88088 89974 90090 94380 96096 99099 101640 102960 110110 110880 113256 120120 121968 125840 131040 132132 134961 135520 141570 144144 151008 152460 160160 165165 174240 176176 179948 180180 188760 193381 198198 203280 205920 220220 224935 226512 240240 243936 251680 264264 269922 283140 288288 304920 314909 330330 352352 359896 360360 377520 386762 396396 404883 406560 440440 449870 453024 480480 494857 495495 528528 539844 566280 580143 584831 609840 629818 660660 674805 719792 720720 755040 773524 792792 809766 880880 899740 944727 966905 989714 990990 1057056 1079688 1132560 1160286 1169662 1219680 1259636 1321320 1349610 1353667 1439584 1441440 1484571 1547048 1574545 1585584 1619532 1740429 1754493 1761760 1799480 1889454 1933810 1979428 1981980 2024415 2127191 2159376 2265120 2320572 2339324 2474285 2513953 2519272 2642640 2699220 2707334 2834181 2900715 2924155 2969142 3094096 3149090 3171168 3239064 3463999 3480858 3508986 3598960 3778908 3867620 3958856 3963960 4048830 4061001 4093817 4254382 4318752 4453713 4641144 4678648 4723635 4948570 5027906 5038544 5263479 5285280 5398440 5414668 5443427 5668362 5801430 5848310 5938284 6188192 6298180 6381573 6433141 6478128 6768335 6927998 6961716 7017972 7197920 7422855 7541859 7557816 7735240 7917712 7927920 8097660 8122002 8187634 8508764 8702145 8772465 8907426 9282288 9357296 9447270 9897140 10055812 10077088 10391997 10526958 10635955 10796880 10829336 10886854 11336724 11602860 11696620 11876568 12183003 12281451 12569765 12596360 12763146 12866282 12956256 13536670 13855996 13923432 14035944 14170905 14845710 14890337 15083718 15115632 15470480 15835424 15855840 16195320 16244004 16330281 16375268 17017528 17319995 17404290 17544930 17597671 17814852 18564576 18714592 18894540 19144719 19299423 19794280 20111624 20305005 20469085 20783994 21053916 21271910 21593760 21658672 21773708 22268565 22625577 22673448 23205720 23393240 23399101 23753136 24366006 24562902 25139530 25192720 25526292 25732564 26317395 27073340 27217135 27653483 27711992 27846864 28071888 28341810 29691420 29780674 30167436 30231264 30940960 31175991 31907865 32165705 32390640 32488008 32660562 32750536 34035056 34639990 34808580 35089860 35195342 35629704 36844353 37709295 37789080 38103989 38289438 38598846 39588560 40223248 40610010 40938170 41567988 42107832 42543820 43317344 43547416 44537130 44671011 45031987 45251154 45346896 46411440 46786480 46798202 47506272 48732012 48990843 49125804 50279060 50385440 51052584 51465128 51959985 52634790 52793013 54146680 54434270 55306966 55423984 55693728 56143776 56683620 57898269 59382840 59561348 60334872 60915015 61407255 62351982 63815730 64331410 64781280 64976016 65321124 65501072 68070112 69279980 69617160 70179720 70197303 70390684 70764551 71259408 73688706 74451685 75418590 75578160 76207978 76578876 77197692 79177120 80446496 81220020 81651405 81876340 82960449 83135976 84215664 85087640 87094832 87988355 89074260 89342022 90063974 90502308 90693792 92822880 93572960 93596404 95723595 96497115 97464024 97981686 98251608 100558120 102105168 102930256 103919970 105269580 105586026 108293360 108868540 110613932 110847968 113127885 113367240 114311967 115796538 116995505 118765680 119122696 120669744 121830030 122814510 124703964 127631460 128662820 129952032 130642248 131002144 134013033 135095961 138267415 138559960 139234320 140359440 140394606 140781368 141529102 142518816 147377412 148903370 150837180 151156320 152415956 153157752 154395384 155879955 158379039 162440040 163302810 163752680 163793707 165920898 166271952 168431328 170175280 174189664 175976710 178148520 178684044 180127948 181004616 184221765 187192808 190519945 191447190 192994230 193574381 194928048 195963372 196503216 201116240 204210336 205860512 207839940 210539160 210591909 211172052 212293653 216586720 217737080 221227864 223355055 225159935 226255770 226734480 228623934 231593076 233991010 237531360 238245392 241339488 243660060 244954215 245629020 248881347 249407928 255262920 257325640 261284496 263965065 268026066 270191922 276534830 277119920 278468640 280718880 280789212 281562736 283058204 289491345 294754824 297806740 301674360 304188313 304831912 306315504 308790768 311759910 316758078 324880080 326605620 327505360 327587414 331841796 332543904 340350560 342935901 350986515 351953420 353822755 356297040 357368088 360255896 362009232 368443530 374385616 381039890 382894380 385988460 387148762 389856096 391926744 393006432 402232480 405287883 414802245 415679880 421078320 421183818 422344104 424587306 435474160 442455728 446710110 450319870 452511540 453468960 457247868 463186152 467982020 476490784 487320120 489908430 491258040 491381121 495351857 497762694 498815856 510525840 514651280 522568992 527930130 536052132 540383844 553069660 554239840 561578424 563125472 566116408 571559835 578982690 580723143 589509648 595613480 603348720 608376626 609663824 612631008 617581536 623519820 633516156 636880959 649760160 653211240 655010720 655174828 663683592 670065165 675479805 685871802 701973030 703906840 707645510 712594080 714736176 720511792 724018464 736887060 748771232 762079780 765788760 771976920 774297524 783853488 791895195 810575766 818968535 829604490 831359760 842156640 842367636 844688208 849174612 870948320 884911456 893420220 900639740 905023080 912564939 914495736 926372304 935964040 967871905 974640240 979816860 982516080 982762242 990703714 995525388 997631712 1021051680 1029302560 1052959545 1055860260 1061468265 1072104264 1080767688 1106139320 1123156848 1132232816 1143119670 1157965380 1161446286 1179019296 1191226960 1206697440 1216753252 1219327648 1244406735 1247039640 1267032312 1273761918 1306422480 1310349656 1327367184 1340130330 1350959610 1371743604 1403946060 1407813680 1415291020 1429472352 1441023584 1473774120 1474143363 1486055571 1520941565 1524159560 1531577520 1543953840 1548595048 1567706976 1583790390 1621151532 1637937070 1659208980 1662719520 1684735272 1689376416 1698349224 1714679505 1742169429 1786840440 1801279480 1810046160 1825129878 1828991472 1852744608 1871928080 1935743810 1949280480 1959633720 1965032160 1965524484 1981407428 1991050776 2026439415 2105919090 2111720520 2122936530 2129318191 2144208528 2161535376 2212278640 2246313696 2264465632 2286239340 2315930760 2322892572 2382453920 2433506504 2456905605 2476759285 2488813470 2494079280 2534064624 2547523836 2612844960 2620699312 2654734368 2680260660 2701919220 2737694817 2743487208 2807892120 2815627360 2830582040 2903615715 2947548240 2948286726 2972111142 3041883130 3048319120 3063155040 3087907680 3097190096 3167580780 3184404795 3242303064 3275874140 3318417960 3369470544 3396698448 3429359010 3484338858 3573680880 3602558960 3620092320 3650259756 3657982944 3743856160 3871487620 3919267440 3931048968 3962814856 3982101552 4052878830 4211838180 4223441040 4245873060 4258636382 4288417056 4323070752 4424557280 4458166713 4562824695 4572478680 4631861520 4645785144 4867013008 4913811210 4953518570 4977626940 4988158560 5068129248 5095047672 5241398624 5360521320 5403838440 5475389634 5486974416 5615784240 5661164080 5807231430 5895096480 5896573452 5944222284 6083766260 6096638240 6194380192 6335161560 6368809590 6387954573 6484606128 6551748280 6636835920 6738941088 6793396896 6858718020 6968677716 7147361760 7205117920 7300519512 7370716815 7430277855 7742975240 7838534880 7862097936 7925629712 7964203104 8105757660 8423676360 8446882080 8491746120 8517272764 8699631047 8710847145 8916333426 9125649390 9144957360 9263723040 9291570288 9734026016 9827622420 9907037140 9955253880 10190095344 10646590955 10721042640 10807676880 10950779268 10973948832 11231568480 11322328160 11614462860 11793146904 11888444568 12167532520 12670323120 12737619180 12775909146 12969212256 13103496560 13273671840 13688474085 13717436040 13937355432 14601039024 14741433630 14860555710 15485950480 15724195872 15851259424 16211515320 16847352720 16983492240 17034545528 17399262094 17421694290 17832666852 18251298780 18289914720 18583140576 19163863719 19655244840 19814074280 19910507760 20380190688 21293181910 21442085280 21615353760 21901558536 22290833565 23228925720 23586293808 23776889136 24335065040 25340646240 25475238360 25551818292 26098893141 26206993120 27376948170 27434872080 27874710864 29202078048 29482867260 29721111420 30971900960 31939772865 32423030640 33694705440 33966984480 34069091056 34798524188 34843388580 35665333704 36502597560 38327727438 39310489680 39628148560 39821015520 42586363820 43498155235 43803117072 44581667130 46457851440 47172587616 47553778272 48670130080 50950476720 51103636584 52197786282 54753896340 54869744160 55749421728 58965734520 59442222840 60897417329 63879545730 64846061280 68138182112 69597048376 69686777160 71330667408 73005195120 76655454876 78296679423 78620979360 79256297120 85172727640 86996310470 87606234144 89163334260 92915702880 95695941517 95819318595 101900953440 102207273168 104395572564 109507792680 113095203611 117931469040 118884445680 121794834658 127759091460 130494465705 139194096752 139373554320 142661334816 146010390240 153310909752 156593358846 170345455280 173992620940 178326668520 182692251987 191391883034 191638637190 204414546336 208791145128 219015585360 226190407222 235862938080 237768891360 243589669316 255518182920 260988931410 278388193504 278747108640 287087824551 304487086645 306621819504 313186717692 339285610833 340690910560 347985241880 356653337040 365384503974 382783766068 383277274380 391483397115 417582290256 438031170720 452380814444 478479707585 487179338632 511036365840 521977862820 548076755961 565476018055 574175649102 608974173290 613243639008 626373435384 669871590619 678571221666 695970483760 713306674080 730769007948 765567532136 766554548760 782966794230 791666425277 835164580512 861263473653 904761628888 913461259935 956959415170 974358677264 1017856832499 1022072731680 1043955725640 1052655356687 1096153511922 1130952036110 1148351298204 1217948346580 1244047239721 1252746870768 1339743181238 1357142443332 1391940967520 1435439122755 1461538015896 1531135064272 1533109097520 1565933588460 1583332850554 1696428054165 1722526947306 1809523257776 1826922519870 1913918830340 1948717354528 2009614771857 2035713664998 2087911451280 2105310713374 2192307023844 2261904072220 2296702596408 2374999275831 2435896693160 2488094479442 2505493741536 2679486362476 2714284886664 2740383779805 2870878245510 2923076031792 3062270128544 3066218195040 3131867176920 3157966070061 3166665701108 3349357953095 3392856108330 3445053894612 3619046515552 3653845039740 3732141719163 3827837660680 3958332126385 4019229543714 4071427329996 4175822902560 4210621426748 4306317368265 4384614047688 4523808144440 4593405192816 4749998551662 4871793386320 4976188958884 5089284162495 5263276783435 5358972724952 5428569773328 5480767559610 5741756491020 5846152063584 6028844315571 6220236198605 6263734353840 6315932140122 6333331402216 6698715906190 6785712216660 6890107789224 7124997827493 7307690079480 7368587496809 7464283438326 7655675321360 7916664252770 8038459087428 8142854659992 8421242853496 8612634736530 8708330678047 8769228095376 9047616288880 9186810385632 9473898210183 9499997103324 9743586772640 9952377917768 10048073859285 10178568324990 10526553566870 10717945449904 10857139546656 10961535119220 11196425157489 11483512982040 11874996379155 12057688631142 12440472397210 12527468707680 12631864280244 12666662804432 13397431812380 13571424433320 13684519636931 13780215578448 14249995654986 14615380158960 14737174993618 14928566876652 15311350642720 15789830350305 15833328505540 16076918174856 16285709319984 16842485706992 17225269473060 17416661356094 17538456190752 18095232577760 18660708595815 18947796420366 18999994206648 19904755835536 20096147718570 20357136649980 21053107133740 21435890899808 21923070238440 22105762490427 22392850314978 22967025964080 23749992758310 24115377262284 24880944794420 25263728560488 25333325608864 26124992034141 26794863624760 27142848866640 27369039273862 27560431156896 28499991309972 29230760317920 29474349987236 29857133753304 30144221577855 31579660700610 31666657011080 32153836349712 32571418639968 33684971413984 34450538946120 34833322712188 35624989137465 36842937484045 37321417191630 37895592840732 37999988413296 39809511671072 40192295437140 40714273299960 41053558910793 42106214267480 43541653390235 43846140476880 44211524980854 44785700629956 45934051928160 47369491050915 47499985516620 48230754524568 49761889588840 50527457120976 52249984068282 53589727249520 54285697733280 54738078547724 55982125787445 56999982619944 58948699974472 59714267506608 60288443155710 63159321401220 63333314022160 64307672699424 66317287471281 68422598184655 68901077892240 69666645424376 71249978274930 73685874968090 74642834383260 75791185681464 75999976826592 78374976102423 80384590874280 81428546599920 82107117821586 84212428534960 87083306780470 87692280953760 88423049961708 89571401259912 94738982101830 94999971033240 95791637458517 96461509049136 99523779177680 101054914241952 104499968136564 107179454499040 109476157095448 110528812452135 111964251574890 113999965239888 117897399948944 119428535013216 120576886311420 123160676732379 126318642802440 126666628044320 130624960170705 132634574942562 136845196369310 137802155784480 139333290848752 142499956549860 147371749936180 149285668766520 151582371362928 156749952204846 160769181748560 162857093199840 164214235643172 168424857069920 174166613560940 176846099923416 179142802519824 189477964203660 189999942066480 191583274917034 192923018098272 199047558355360 205267794553965 208999936273128 218952314190896 221057624904270 223928503149780 227999930479776 235794799897888 241153772622840 246321353464758 252637285604880 261249920341410 265269149885124 273690392738620 278666581697504 284999913099720 287374912375551 294743499872360 298571337533040 303164742725856 313499904409692 321538363497120 328428471286344 331586437356405 348333227121880 353692199846832 358285605039648 378955928407320 379999884132960 383166549834068 391874880512115 410535589107930 417999872546256 437904628381792 442115249808540 447857006299560 478958187292585 482307545245680 492642706929516 505274571209760 522499840682820 530538299770248 547380785477240 569999826199440 574749824751102 589486999744720 597142675066080 615803383661895 626999808819384 656856942572688 663172874712810 696666454243760 707384399693664 757911856814640 766333099668136 783749761024230 821071178215860 835999745092512 862124737126653 884230499617080 895714012599120 957916374585170 964615090491360 985285413859032 1044999681365640 1061076599540496 1094761570954480 1139999652398880 1149499649502204 1178973999489440 1231606767323790 1253999617638768 1313713885145376 1326345749425620 1393332908487520 1436874561877755 1515823713629280 1532666199336272 1567499522048460 1642142356431720 1724249474253306 1768460999234160 1791428025198240 1915832749170340 1970570827718064 2089999362731280 2122153199080992 2189523141908960 2298999299004408 2463213534647580 2507999235277536 2652691498851240 2873749123755510 3065332398672544 3134999044096920 3284284712863440 3448498948506612 3536921998468320 3831665498340680 3941141655436128 4179998725462560 4310623685633265 4597998598008816 4926427069295160 5305382997702480 5747498247511020 6269998088193840 6568569425726880 6896997897013224 7663330996681360 8621247371266530 9195997196017632 9852854138590320 10610765995404960 11494996495022040 12539996176387680 13793995794026448 15326661993362720 17242494742533060 19705708277180640 22989992990044080 27587991588052896 34484989485066120 45979985980088160 68969978970132240 137939957940264480
- Sum of all divisors σ(n): 636821254189096704
- Sum of proper divisors (its aliquot sum) s(n): 498881296248832224
- 137939957940264480 is an abundant number, because the sum of its proper divisors (498881296248832224) is greater than itself. Its abundance is 360941338308567744
Bases of 137939957940264480
- Binary: 1111010100000111110101001001100010101110010011110001000002
- Hexadecimal: 0x1EA0FA9315C9E20
- Base-36: 11Q7MTV1GLK0
Squares and roots of 137939957940264480
- 137939957940264480 squared (1379399579402644802) is 19027431996561933763752012349670400
- 137939957940264480 cubed (1379399579402644803) is 2624643169316995743191469180345732681089216827392000
-
The
square root of 137939957940264480 is 371402689.7321349235 -
The
cube root of 137939957940264480 is 516689.9683969697
Scales and comparisons
How big is 137939957940264480?- 137,939,957,940,264,480 seconds is equal to 4,386,063,986 years, 10 weeks, 1 day, 6 hours, 48 minutes.
-
To count from 1 to 137,939,957,940,264,480 would take you about thirteen billion, one hundred fifty-eight million, one hundred ninety-one thousand, nine hundred fifty-eight 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 137939957940264480 cubic inches would be around 43057.5 feet tall.
Recreational maths with 137939957940264480
- 137939957940264480 backwards is 084462049759939731
- 137939957940264480 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137939957940264480's digits is 90
- More coming soon!
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"Number 137939957940264480 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137939957940264480 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137939957940264480/
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Numbermatics. 2024. "Number 137939957940264480 - Facts about the integer". https://numbermatics.com/n/137939957940264480/
The information we have on file for 137939957940264480 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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