138389071217196384
138,389,071,217,196,384 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138389071217196384 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138389071217196384 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138389071217196384:
25 × 32 × 133 × 17 × 41 × 607 × 7192
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 17 × 41 × 607 × 719 × 719)See below for interesting mathematical facts about the number 138389071217196384 from the Numbermatics database.
Names of 138389071217196384
- Cardinal: 138389071217196384 can be written as One hundred thirty-eight quadrillion, three hundred eighty-nine trillion, seventy-one billion, two hundred seventeen million, one hundred ninety-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38389071217196384 × 1017
Factors of 138389071217196384
Divisors of 138389071217196384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 41 48 51 52 68 72 78 82 96 102 104 117 123 136 144 153 156 164 169 204 208 221 234 246 272 288 306 312 328 338 369 408 416 442 468 492 507 533 544 607 612 624 656 663 676 697 719 738 816 884 936 984 1014 1066 1214 1224 1248 1312 1326 1352 1394 1438 1476 1521 1599 1632 1768 1821 1872 1968 1989 2028 2091 2132 2157 2197 2428 2448 2652 2704 2788 2873 2876 2952 3042 3198 3536 3642 3744 3936 3978 4056 4182 4264 4314 4394 4797 4856 4896 5304 5408 5463 5576 5746 5752 5904 6084 6273 6396 6471 6591 6929 7072 7284 7891 7956 8112 8364 8528 8619 8628 8788 9061 9347 9594 9712 10319 10608 10926 11152 11492 11504 11808 12168 12223 12546 12792 12942 13182 13858 14568 15782 15912 16224 16728 17056 17238 17256 17576 18122 18694 19188 19424 19773 20638 20787 21216 21852 22304 22984 23008 23673 24336 24446 24887 25092 25584 25857 25884 26364 27183 27716 28041 29136 29479 30957 31564 31824 33456 34476 34512 35152 36244 36669 37349 37388 38376 39546 41276 41574 43704 45968 47346 48672 48892 49774 50184 51168 51714 51768 52728 54366 55432 56082 58272 58958 61914 62361 63128 63648 66912 68952 69024 70304 71019 72488 73338 74661 74698 74776 76752 79092 81549 82552 83148 84123 87408 88437 90077 91936 92871 94692 97784 99548 100368 102583 103428 103536 105456 108732 110007 110864 112047 112164 117793 117916 121511 123828 124722 126256 134147 137904 142038 144976 146676 149322 149396 149552 153504 158184 158899 163098 165104 166296 168246 174816 176874 180154 185742 189384 195568 199096 200736 205166 206856 207072 210912 217464 220014 221728 223983 224094 224328 235586 235832 243022 247656 249444 252512 265311 268294 270231 275808 284076 289952 293352 298644 298792 299104 307749 316368 317798 323531 326196 330208 332592 336141 336492 353379 353748 360308 364533 371484 378768 383227 391136 398192 402441 410332 413712 423079 434928 436433 440028 447966 448188 448656 471172 471664 476697 486044 495312 498888 501143 516961 530622 536588 540462 568152 586704 597288 597584 615498 632736 635596 647062 652392 665184 672282 672984 706758 707496 720616 729066 742968 757536 766454 796384 804882 810693 820664 827424 846158 869856 872866 880056 895932 896376 897312 923247 942344 943328 953394 970593 972088 990624 997776 1002286 1033922 1060137 1061244 1073176 1080924 1093599 1136304 1149681 1173408 1194576 1195168 1207323 1230996 1269237 1271192 1294124 1304784 1309299 1333579 1344564 1345968 1413516 1414992 1430091 1441232 1458132 1485936 1503429 1531309 1532908 1550883 1579643 1609764 1621386 1641328 1692316 1743911 1745732 1760112 1791864 1792752 1846494 1884688 1906788 1941186 1944176 1995552 2004572 2065687 2067844 2120274 2122488 2146352 2161848 2187198 2272608 2299362 2389152 2414646 2461992 2538474 2542384 2588248 2609568 2618598 2667158 2689128 2691936 2827032 2829984 2860182 2882464 2911779 2916264 2971872 3006858 3062618 3065816 3101766 3159286 3219528 3242772 3282656 3384632 3449043 3487822 3491464 3520224 3583728 3585504 3692988 3769376 3807711 3813576 3882372 3888352 3927897 4000737 4009144 4131374 4135688 4205903 4240548 4244976 4292704 4323696 4374396 4510287 4593927 4598724 4652649 4738929 4829292 4923984 4981951 5076948 5084768 5176496 5231733 5237196 5334316 5378256 5500027 5654064 5673629 5720364 5823558 5832528 6013716 6125236 6131632 6197061 6203532 6318572 6439056 6485544 6514859 6720493 6769264 6898086 6975644 6982928 7167456 7385976 7419361 7615422 7627152 7764744 7855794 8001474 8018288 8262748 8271376 8411806 8481096 8489952 8647392 8748792 8788337 9020574 9187854 9197448 9305298 9477858 9658584 9847968 9963902 10153896 10352992 10463466 10474392 10668632 10756512 11000054 11308128 11347258 11440728 11647116 11665056 12002211 12027432 12250472 12263264 12394122 12407064 12617709 12637144 12878112 12971088 13029718 13440986 13538528 13781781 13796172 13951288 13965856 14216787 14771952 14838722 14945853 15230844 15254304 15529488 15695199 15711588 16002948 16036576 16500081 16525496 16542752 16823612 16962192 17020887 17497584 17576674 17893753 18041148 18375708 18394896 18591183 18610596 18955716 19317168 19544577 19927804 20161479 20307792 20926932 20948784 21195401 21337264 22000108 22258083 22670843 22694516 22881456 23294232 24004422 24054864 24500944 24788244 24814128 25235418 25274288 25942176 26059436 26365011 26853931 26881972 27563562 27592344 27902576 28433574 29543904 29677444 29891706 30461688 31058976 31390398 31423176 32005896 33000162 33050992 33647224 33924384 34041774 34995168 35153348 35787506 36082296 36751416 36789792 37182366 37221192 37853127 37911432 38634336 39089154 39855608 40322958 40615584 41853864 41897568 42390802 42674528 44000216 44516166 44837559 45341686 45389032 45762912 46588464 48008844 48109728 49001888 49500243 49576488 49628256 50470836 50548576 51062661 52118872 52730022 53681259 53707862 53763944 54676739 55127124 55184688 55805152 56867148 58633731 59354888 59783412 60484437 60923376 62780796 62846352 63586203 64011792 64765363 66000324 66101984 66774249 67294448 68012529 68083548 70306696 71500351 71575012 72164592 73502832 73757177 74364732 74442384 75706254 75822864 78178308 79095033 79711216 80561793 80645916 83707728 84693167 84781604 87366409 88000432 89032332 89675118 90683372 90778064 93176928 96017688 96451693 99000486 99152976 100941672 102125322 104237744 105460044 107362518 107415724 107527888 109353478 110254248 110369376 113734296 114248381 117267462 118709776 119566824 120968874 121846752 125561592 125692704 127172406 128023584 129530726 132000648 133548498 134588896 136025058 136167096 140613392 143000702 143150024 144329184 147005664 147514354 148729464 148884768 151412508 151645728 156356616 158190066 159422432 161043777 161123586 161291832 164030217 167415456 169386334 169563208 174732818 176000864 178064664 179350236 181366744 181556128 190758609 192035376 192903386 194296089 198000972 198305952 201883344 204037587 204250644 208475488 210920088 214501053 214725036 214831448 215055776 218706956 220508496 221271531 227468592 228496762 232618789 234534924 237419552 239133648 241685379 241937748 251123184 254079501 254344812 259061452 262099227 264001296 267096996 272050116 272334192 275540213 281226784 286001404 286300048 289355079 295028708 297458928 302825016 304193801 312713232 313795327 316380132 322087554 322247172 322583664 328060434 338772668 339126416 342745143 349465636 356129328 358700472 360321817 362733488 381517218 384070752 385806772 388592178 396001944 403766688 408075174 408501288 421840176 429002106 429450072 429662896 437413912 441016992 442543062 454937184 456993524 465237578 469069848 478267296 483370758 483875496 492090651 502246368 508159002 508689624 518122904 524198454 528002592 534193992 544100232 544668384 551080426 572002808 572600096 578710158 582888267 590057416 594917856 605650032 608387602 625426464 627590654 632760264 643503159 644175108 644494344 645167328 656120868 663814593 677545336 678252832 685490286 697856367 698931272 712258656 717400944 720643634 725466976 762238503 763034436 771613544 777184356 786297681 792003888 816150348 817002576 826620639 843680352 858004212 858900144 859325792 868065237 874827824 885086124 912581403 913987048 929504563 930475156 938139696 941385981 958843301 966741516 967750992 984181302 1016318004 1017379248 1028235429 1036245808 1048396908 1068387984 1080965451 1088200464 1101011171 1102160852 1135763317 1144005616 1157420316 1165776534 1180114832 1211300064 1216775204 1253872009 1255181308 1265520528 1287006318 1288350216 1288988688 1312241736 1327629186 1355090672 1370980572 1395712734 1397862544 1434801888 1441287268 1485228953 1524477006 1526068872 1543227088 1554368712 1572595362 1584007776 1632300696 1634005152 1653241278 1716008424 1717800288 1736130474 1749655648 1770172248 1825162806 1827974096 1859009126 1860950312 1876279392 1882771962 1917686602 1933483032 1935501984 1968362604 2032636008 2034758496 2056470858 2072491616 2093569101 2096793816 2136775968 2161930902 2176400928 2202022342 2204321704 2271526634 2288011232 2314840632 2331553068 2360229664 2433550408 2479861917 2507744018 2510362616 2531041056 2574012636 2576700432 2577977376 2624483472 2655258372 2710181344 2737744209 2741961144 2788513689 2791425468 2795725088 2824157943 2876529903 2882574536 2970457906 3024044257 3048954012 3052137744 3086454176 3108737424 3145190724 3242896353 3264601392 3303033513 3306482556 3407289951 3432016848 3472260948 3540344496 3582022769 3650325612 3655948192 3718018252 3721900624 3761616027 3765543924 3835373204 3866966064 3936725208 3954519413 4065272016 4079339251 4112941716 4187138202 4193587632 4323861804 4404044684 4408643408 4455686859 4543053268 4629681264 4663106136 4684183621 4867100816 4959723834 5015488036 5020725232 5148025272 5153400864 5248966944 5310516744 5334520559 5475488418 5483922288 5577027378 5582850936 5648315886 5753059806 5765149072 5940915812 6048088514 6097908024 6104275488 6217474848 6290381448 6485792706 6529202784 6606067026 6612965112 6814579902 6864033696 6944521896 7080688992 7164045538 7300651224 7436036504 7443801248 7523232054 7531087848 7670746408 7733932128 7873450416 7909038826 8130544032 8158678502 8225883432 8365541067 8374276404 8387175264 8629589709 8647723608 8808089368 8817286816 8911373718 9072132771 9086106536 9259362528 9326212272 9368367242 9734201632 9909100539 9919447668 10030976072 10041450464 10221869853 10296050544 10621033488 10669041118 10746068307 10950976836 10967844576 11154054756 11165701872 11284848081 11296631772 11506119612 11530298144 11863558239 11881831624 12096177028 12195816048 12238017753 12580762896 12865608407 12971585412 13212134052 13225930224 13367060577 13629159804 13889043792 14052550863 14328091076 14601302448 14872073008 15046464108 15062175696 15341492816 15746900832 15818077652 16003561677 16300336117 16317357004 16451766864 16731082134 16748552808 17259179418 17295447216 17616178736 17822747436 18144265542 18172213072 18652424544 18736734484 19307976389 19818201078 19838895336 20061952144 20443739706 20592101088 21242066976 21338082236 21492136614 21901953672 22308109512 22331403744 22569696162 22593263544 23012239224 23727116478 23763663248 24192354056 24391632096 24476035506 25161525792 25731216814 25943170824 26424268104 26451860448 26734121154 27216398313 27258319608 27778087584 28105101726 28656182152 29202604896 29744146016 30092928216 30124351392 30682985632 31636155304 32007123354 32238204921 32600672234 32634714008 32903533728 33462164268 33497105616 34518358836 34590894432 35232357472 35590674717 35645494872 36288531084 36344426144 36714053259 37473468968 38596825221 38615952778 39312575341 39636402156 39677790672 40123904288 40887479412 42157652589 42676164472 42984273228 43803907344 44616219024 45139392324 45186527088 46024478448 46566295997 47454232956 47527326496 48010685031 48384708112 48901008351 48952071012 51408752369 51462433628 51886341648 52848536208 53031410263 53468242308 54432796626 54516639216 56210203452 57312364304 57923929167 60185856432 60894387073 63272310608 64014246708 64476409842 65201344468 65269428016 66924328536 66994211232 69036717672 69348767267 71181349434 71290989744 72577062168 73428106518 74946937936 77193650442 77231905556 78625150682 79272804312 79355581344 81774958824 84315305178 85352328944 85968546456 87607814688 89232438048 90278784648 90373054176 92048956896 93132591994 94908465912 96021370062 96769416224 97802016702 97904142024 102817504738 102924867256 103772683296 105697072416 106062820526 106936484616 108865593252 109033278432 112420406904 114624728608 115790475663 115847858334 117937726023 120371712864 121788774146 126544621216 128028493416 128952819684 130402688936 130538856032 133848657072 138073435344 138697534534 139698887991 142362698868 142581979488 145154124336 146703025053 146856213036 149893875872 154226257107 154387300884 154463811112 157250301364 158545608624 159094230789 163549917648 167252909291 168630610356 170704657888 171937092912 173771787501 180557569296 182683161219 186265183988 189816931824 192042740124 195604033404 195808284048 205635009476 205849734512 208046301801 212125641052 213872969232 217731186504 218715342919 224840813808 231580951326 231695716668 235875452046 243577548292 256056986832 257905639368 260805377872 267697314144 276146870688 277395069068 279397775982 284725397736 290308248672 293406050106 293712426072 308452514214 308774601768 308927622224 314500602728 317091217248 318188461578 327099835296 334505818582 337261220712 343874185824 347543575002 353813178069 361115138592 365366322438 372530367976 379633863648 384085480248 391208066808 391616568096 411270018952 411699469024 416092603602 419096663973 424251282104 427745938464 435462373008 437430685838 449681627616 462678771321 463161902652 463391433336 471750904092 477282692367 487155096584 501758727873 512113973664 515811278736 521610755744 548049483657 554790138136 558795551964 569450795472 586812100212 587424852144 616905028428 617549203536 617855244448 624138905403 629001205456 636376923156 656146028757 668313780797 669011637164 674522441424 689408333419 695087150004 707626356138 730732644876 745060735952 768170960496 782416133616 791627031949 822540037904 832185207204 838193327946 848502564208 870924746016 874861371676 901533974471 925357542642 926323805304 926782866672 943501808184 954565384734 974310193168 1003517455746 1031622557472 1096098967314 1109580276272 1117591103928 1138901590944 1173624200424 1174849704288 1233810056856 1235098407072 1248277810806 1258002410912 1272753846312 1312292057514 1336627561594 1338023274328 1349044882848 1378816666838 1390174300008 1415252712276 1461465289752 1490121471904 1505276183619 1536341920992 1564832267232 1583254063898 1645080075808 1664370414408 1676386655892 1697005128416 1749722743352 1803067948942 1850715085284 1852647610608 1853565733344 1887003616368 1909130769468 1948620386336 1968438086271 2004941342391 2007034911492 2068225000257 2174287820783 2192197934628 2219160552544 2235182207856 2347248400848 2374881095847 2467620113712 2496555621612 2545507692624 2624584115028 2673255123188 2676046548656 2704601923413 2757633333676 2780348600016 2830505424552 2843299457947 2922930579504 3010552367238 3166508127796 3328740828816 3352773311784 3499445486704 3606135897884 3701430170568 3705295221216 3774007232736 3818261538936 3936876172542 4009882684782 4014069822984 4136450000514 4348575641566 4384395869256 4470364415712 4694496801696 4749762191694 4935240227424 4993111243224 5091015385248 5249168230056 5346510246376 5352093097312 5409203846826 5515266667352 5560697200032 5661010849104 5686598915894 5845861159008 6014824027173 6021104734476 6204675000771 6333016255592 6522863462349 6657481657632 6705546623568 6998890973408 7124643287541 7212271795768 7402860341136 7636523077872 7873752345084 8019765369564 8028139645968 8113805770239 8272900001028 8529898373841 8697151283132 8768791738512 9499524383388 9986222486448 10498336460112 10693020492752 10818407693652 11030533334704 11322021698208 11373197831788 11719941668123 12029648054346 12042209468952 12409350001542 12666032511184 13045726924698 13411093247136 14249286575082 14424543591536 14805720682272 15273046155744 15747504690168 16039530739128 16056279291936 16227611540478 16545800002056 17059796747682 17394302566264 17537583477024 18999048766776 19568590387047 19972444972896 20996672920224 21386040985504 21636815387304 22061066669408 22746395663576 23439883336246 24059296108692 24084418937904 24818700003084 25332065022368 25589695121523 26091453849396 28265741670179 28498573150164 28849087183072 31495009380336 32079061478256 32455223080956 33091600004112 34119593495364 34788605132528 35159825004369 36962892953311 37998097533552 39137180774094 43273630774608 45492791327152 46879766672492 48118592217384 48168837875808 49637400006168 51179390243046 52182907698792 56531483340358 56997146300328 62990018760672 64158122956512 64910446161912 66183200008224 68239186990728 69577210265056 70319650008738 73925785906622 75996195067104 78274361548188 84797225010537 86547261549216 90985582654304 93759533344984 96237184434768 99274800012336 102358780486092 104365815397584 105479475013107 110888678859933 113062966680716 113994292600656 129820892323824 136478373981456 140639300017476 147851571813244 156548723096376 169594450021074 187519066689968 192474368869536 198549600024672 204717560972184 208731630795168 210958950026214 221777357719866 226125933361432 227988585201312 254391675031611 259641784647648 272956747962912 281278600034952 295703143626488 313097446192752 332666036579799 339188900042148 375038133379936 409435121944368 421917900052428 443554715439732 452251866722864 480517608393043 508783350063222 562557200069904 591406287252976 626194892385504 665332073159598 678377800084296 818870243888736 843835800104856 887109430879464 904503733445728 961035216786086 1017566700126444 1125114400139808 1182812574505952 1330664146319196 1356755600168592 1441552825179129 1687671600209712 1774218861758928 1922070433572172 2035133400252888 2661328292638392 2713511200337184 2883105650358258 3375343200419424 3548437723517856 3844140867144344 4070266800505776 4324658475537387 5322656585276784 5766211300716516 7688281734288688 8140533601011552 8649316951074774 10645313170553568 11532422601433032 15376563468577376 17298633902149548 23064845202866064 34597267804299096 46129690405732128 69194535608598192 138389071217196384
- Sum of all divisors σ(n): 463818918953295360
- Sum of proper divisors (its aliquot sum) s(n): 325429847736098976
- 138389071217196384 is an abundant number, because the sum of its proper divisors (325429847736098976) is greater than itself. Its abundance is 187040776518902592
Bases of 138389071217196384
- Binary: 1111010111010100000100000100001101011001001111101011000002
- Hexadecimal: 0x1EBA82086B27D60
- Base-36: 11UMTXNIS9K0
Squares and roots of 138389071217196384
- 138389071217196384 squared (1383890712171963842) is 19151535032358252659812797222675456
- 138389071217196384 cubed (1383890712171963843) is 2650363145511657681852307511827158164031727848751104
-
The
square root of 138389071217196384 is 372006816.0897006791 -
The
cube root of 138389071217196384 is 517250.1177535799
Scales and comparisons
How big is 138389071217196384?- 138,389,071,217,196,384 seconds is equal to 4,400,344,399 years, 10 weeks, 4 days, 3 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,389,071,217,196,384 would take you about thirteen billion, two hundred one million, thirty-three thousand, one hundred ninety-seven 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 138389071217196384 cubic inches would be around 43104.2 feet tall.
Recreational maths with 138389071217196384
- 138389071217196384 backwards is 483691712170983831
- The number of decimal digits it has is: 18
- The sum of 138389071217196384'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 138389071217196384 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138389071217196384 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138389071217196384/
Chicago style:
Numbermatics. 2024. "Number 138389071217196384 - Facts about the integer". https://numbermatics.com/n/138389071217196384/
The information we have on file for 138389071217196384 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 138389071217196384, math, Factors of 138389071217196384, curriculum, school, college, exams, university, Prime factorization of 138389071217196384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-nine trillion, seventy-one billion, two hundred seventeen million, one hundred ninety-six thousand, three hundred eighty-four.