138820330350819000
138,820,330,350,819,000 is an even composite number composed of seven prime numbers multiplied together.
138820330350819000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138820330350819000:
23 × 36 × 53 × 13 × 911 × 3637 × 4421
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 911 × 3637 × 4421)See below for interesting mathematical facts about the number 138820330350819000 from the Numbermatics database.
Names of 138820330350819000
- Cardinal: 138820330350819000 can be written as One hundred thirty-eight quadrillion, eight hundred twenty trillion, three hundred thirty billion, three hundred fifty million, eight hundred nineteen thousand.
Scientific notation
- Scientific notation: 1.38820330350819 × 1017
Factors of 138820330350819000
Divisors of 138820330350819000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 75 78 81 90 100 104 108 117 120 125 130 135 150 156 162 180 195 200 216 225 234 243 250 260 270 300 312 324 325 351 360 375 390 405 450 468 486 500 520 540 585 600 648 650 675 702 729 750 780 810 900 911 936 972 975 1000 1053 1080 1125 1170 1215 1300 1350 1404 1458 1500 1560 1620 1625 1755 1800 1822 1944 1950 2025 2106 2250 2340 2430 2600 2700 2733 2808 2916 2925 3000 3159 3240 3250 3375 3510 3637 3644 3645 3900 4050 4212 4421 4500 4555 4680 4860 4875 5265 5400 5466 5832 5850 6075 6318 6500 6750 7020 7274 7288 7290 7800 8100 8199 8424 8775 8842 9000 9110 9477 9720 9750 10125 10530 10911 10932 11700 11843 12150 12636 13000 13263 13500 13665 14040 14548 14580 14625 15795 16200 16398 17550 17684 18185 18220 18225 18954 19500 20250 21060 21822 21864 22105 22775 23400 23686 24300 24597 25272 26325 26526 27000 27330 29096 29160 29250 30375 31590 32733 32796 35100 35368 35529 36370 36440 36450 37908 39000 39789 40500 40995 42120 43644 43875 44210 45550 47281 47372 47385 48600 49194 52650 53052 54555 54660 57473 58500 59215 60750 63180 65466 65592 66315 68325 70200 71058 72740 72900 73791 75816 78975 79578 81000 81990 87288 87750 88420 90925 91100 91125 94562 94744 94770 98199 98388 105300 106104 106587 109110 109320 110525 113875 114946 117000 118430 119367 121500 122985 126360 130932 131625 132630 136650 141843 142116 145480 145800 147582 157950 159156 163665 163980 172419 175500 176840 177645 181850 182200 182250 189124 189540 196398 196776 198945 204975 210600 213174 218220 221050 221373 227750 229892 236405 236860 236925 238734 243000 245970 261864 263250 265260 272775 273300 283686 284232 287365 294597 295164 296075 315900 318312 319761 327330 327960 331575 341625 344838 351000 355290 358101 363700 364500 368955 378248 379080 392796 394875 397890 409950 425529 426348 436440 442100 442746 454625 455500 459784 472810 473720 473850 477468 490995 491940 517257 526500 530520 532935 545550 546600 552625 567372 574730 589194 590328 592150 596835 614925 631800 639522 654660 663150 664119 683250 689676 709215 710580 716202 727400 729000 737910 785592 789750 795780 818325 819900 851058 852696 862095 883791 884200 885492 888225 909250 911000 945620 947700 954936 959283 981990 983880 994725 1024875 1034514 1053000 1065870 1074303 1091100 1105250 1106865 1134744 1149460 1178388 1182025 1184300 1184625 1193670 1229850 1276587 1279044 1309320 1326300 1328238 1363875 1366500 1379352 1418430 1421160 1432404 1436825 1472985 1475820 1480375 1551771 1579500 1591560 1598805 1636650 1639800 1657875 1702116 1724190 1767582 1770984 1776450 1790505 1818500 1844775 1891240 1895400 1918566 1963980 1989450 2049750 2069028 2127645 2131740 2148606 2182200 2210500 2213730 2298920 2356776 2364050 2368600 2369250 2387340 2454975 2459700 2553174 2558088 2586285 2651373 2652600 2656476 2664675 2727750 2733000 2836860 2864808 2873650 2877849 2945970 2951640 2960750 2984175 3074625 3103542 3159000 3197610 3222909 3273300 3313307 3315750 3320595 3404232 3448380 3535164 3546075 3552900 3581010 3637000 3689550 3829761 3837132 3927960 3978900 4027531 4091625 4099500 4138056 4255290 4263480 4297212 4310475 4418955 4421000 4427460 4441125 4655313 4728100 4738500 4774680 4796415 4909950 4919400 4973625 5106348 5172570 5302746 5312952 5329350 5371515 5455500 5534325 5673720 5747300 5755698 5891940 5910125 5921500 5968350 6149250 6207084 6382935 6395220 6445818 6546600 6626614 6631500 6641190 6896760 7070328 7092150 7105800 7162020 7184125 7364925 7379100 7659522 7674264 7758855 7957800 7994025 8055062 8183250 8199000 8510580 8594424 8620950 8633547 8837910 8854920 8882250 8952525 9223875 9310626 9456200 9477000 9592830 9819900 9939921 9947250 10212696 10345140 10605492 10638225 10658700 10743030 10911000 11068650 11489283 11494600 11511396 11783880 11820250 11843000 11936700 12082593 12274875 12298500 12414168 12765870 12790440 12891636 12931425 13253228 13256865 13263000 13282380 13323375 13965939 14184300 14324040 14368250 14389245 14729850 14758200 14920875 15319044 15517710 15988050 16079177 16110124 16114545 16366500 16566535 16602975 17021160 17241900 17267094 17675820 17730375 17764500 17905050 18447750 18621252 19148805 19185660 19639800 19879842 19894500 20137655 20690280 21210984 21276450 21317400 21486060 21552375 22094775 22137300 22978566 23022792 23276565 23640500 23873400 23982075 24165186 24549750 24597000 25531740 25783272 25862850 26506456 26513730 26564760 26646750 26857575 27671625 27931878 28368600 28736500 28778490 29459700 29819763 29841750 30638088 31035420 31914675 31976100 32158354 32220248 32229090 32733000 33133070 33205950 34467849 34483800 34534188 35351640 35460750 35529000 35810100 36247779 36824625 36895500 37242504 38297610 38371320 38794275 39759684 39789000 39970125 40275310 41897817 42552900 42972120 43072991 43104750 43167735 44189550 44274600 44762625 45957132 46553130 47281000 47964150 48237531 48330372 49099500 49699605 51063480 51725700 52357903 53027460 53191125 53293500 53715150 55343250 55863756 57446415 57473000 57556980 58919400 59639526 59683500 60412965 62070840 63829350 63952200 64316708 64458180 64657125 66266140 66284325 66411900 68935698 69068376 69829695 70921500 71620200 71946225 72495558 73649250 73791000 76595220 77588550 79519368 79940250 80395885 80550620 80572725 82832675 83014875 83795634 85105800 86145982 86209500 86335470 88379100 89459289 89525250 91914264 93106260 95744025 95928300 96475062 96660744 98199000 99399210 100688275 103451400 104715806 106054920 106382250 106587000 107430300 108743337 110473875 110686500 111727512 114892830 115113960 116382825 119279052 119367000 119910375 120825930 127658700 128633416 128916360 129218973 129314250 132532280 132568650 132823800 134287875 137871396 139659390 141843000 143892450 144712593 144991116 147298500 149098815 153190440 155177100 157073709 159573375 159880500 160791770 161101240 161145450 165665350 166029750 167591268 172291964 172339245 172419000 172670940 176758200 178918578 179050500 181238895 186212520 191488050 191856600 192950124 193971375 198798420 201376550 209029301 209431612 209489085 212764500 214860600 215364955 215838675 217486674 220947750 221373000 229785660 232765650 238558104 239820750 241187655 241651860 248498025 255317400 258437946 258628500 261789515 265137300 268377867 268575750 275742792 279318780 287232075 287784900 289425186 289982232 294597000 298197630 302064825 310354200 314147418 319146750 319761000 321583540 322290900 326230011 331330700 331421625 332059500 335182536 344583928 344678490 345341880 349148475 357837156 358101000 359731125 362477790 382976100 385900248 387656919 387942750 397596840 401979425 402753100 402863625 414163375 418058602 418863224 418978170 425529000 430729910 431677350 434137779 434973348 441895500 447296445 459571320 465531300 471221127 478720125 479641500 482375310 483303720 496996050 503441375 516875892 517257000 523579030 530274600 536755734 537151500 543716685 558637560 574464150 575569800 578850372 581914125 596395260 604129650 627087903 628294836 638293500 643167080 644581800 646094865 652460022 662661400 662843250 664119000 689356980 698296950 715674312 719462250 723562965 724955580 745494075 765952200 775313838 775885500 785368545 803958850 805133601 805506200 805727250 828326750 836117204 837956340 861459820 861696225 863354700 868275558 869946696 883791000 894592890 906194475 931062600 942442254 957440250 959283000 964750620 978690033 993992100 1006882750 1033751784 1045146505 1047158060 1047445425 1073511468 1074303000 1076824775 1079193375 1087433370 1148928300 1157700744 1162970757 1163828250 1192790520 1205938275 1208259300 1242490125 1254175806 1256589672 1276587000 1292189730 1302413337 1304920044 1308947575 1325686500 1341889335 1378713960 1396593900 1413663381 1436160375 1438924500 1447125930 1449911160 1490988150 1510324125 1550627676 1551771000 1570737090 1607917700 1610267202 1611454500 1631150055 1656653500 1672234408 1675912680 1722919640 1723392450 1726709400 1736551116 1745742375 1789185780 1812388950 1881263709 1884884508 1914880500 1929501240 1938284595 1957380066 1987984200 2009897125 2013765500 2090293010 2094316120 2094890850 2147022936 2153649550 2158386750 2170688895 2174866740 2236482225 2297856600 2325941514 2327656500 2356105635 2411876550 2415400803 2416518600 2484980250 2508351612 2584379460 2604826674 2609840088 2617895150 2651373000 2683778670 2718583425 2793187800 2827326762 2872320750 2877849000 2894251860 2936070099 2981976300 3020648250 3101255352 3135439515 3141474180 3215835400 3220534404 3222909000 3230474325 3262300110 3313307000 3446784900 3473102232 3488912271 3491484750 3578371560 3617814825 3624777900 3727470375 3762527418 3769769016 3829761000 3876569190 3907240011 3914760132 3926842725 4019794250 4025668005 4027531000 4180586020 4189781700 4240990143 4307299100 4308481125 4316773500 4341377790 4349733480 4472964450 4530972375 4651883028 4655313000 4712211270 4823753100 4830801606 4893450165 4969960500 5016703224 5168758920 5209653348 5225732525 5235790300 5237227125 5367557340 5384123875 5437166850 5643791127 5654653524 5744641500 5788503720 5814853785 5872140198 5963952600 6029691375 6041296500 6270879030 6282948360 6441068808 6460948650 6512066685 6524600220 6544737875 6709446675 6893569800 6977824542 6982969500 7068316905 7235629650 7249555800 7454940750 7525054836 7753138380 7814480022 7829520264 7853685450 8039588500 8051336010 8155750275 8361172040 8379563400 8481980286 8614598200 8616962250 8633547000 8682755580 8945928900 9061944750 9303766056 9406318545 9424422540 9647506200 9661603212 9691422975 9786900330 9939921000 10419306696 10451465050 10466736813 10471580600 10474454250 10735114680 10768247750 10853444475 10874333700 11182411125 11287582254 11309307048 11489283000 11629707570 11721720033 11744280396 11780528175 12059382750 12077004015 12082593000 12541758060 12722970429 12921897300 13024133370 13049200440 13089475750 13418893350 13592917125 13955649084 13965939000 14136633810 14471259300 14648130247 14680350495 14909881500 15050109672 15506276760 15628960044 15677197575 15707370900 16079177000 16102672020 16152371625 16311500550 16931373381 16963960572 17233924500 17365511160 17444561355 17891857800 18089074125 18123889500 18812637090 18848845080 19323206424 19382845950 19536200055 19573800660 19634213625 20128340025 20902930100 20933473626 20948908500 21204950715 21536495500 21706888950 21748667400 22364822250 22575164508 23259415140 23443440066 23488560792 23561056350 24118765500 24154008030 24467250825 25083516120 25445940858 25843794600 26048266740 26128662625 26178951500 26837786700 27185834250 27911298168 28218955635 28273267620 28942518600 29074268925 29296260494 29360700990 29819763000 31257920088 31354395150 31400210439 31414741800 32205344040 32304743250 32560333425 32623001100 33547233375 33862746762 33927921144 34467849000 34889122710 35341584525 36178148250 36247779000 37625274180 38168911287 38765691900 39072400110 39147601320 39268427250 40256680050 40778751375 41805860200 41866947252 41897817000 42409901430 43072991000 43413777900 43944390741 44729644500 45150329016 46518830280 46886880132 47031592725 47122112700 48237531000 48308016060 48457114875 48934501650 50794120143 50891881716 52096533480 52257325250 52333684065 52357903000 53675573400 54267222375 54371668500 56437911270 56546535240 58148537850 58592520988 58608600165 58721401980 58902640875 60385020075 62708790300 62800420878 63614852145 64609486500 65120666850 65246002200 67094466750 67725493524 69778245420 70683169050 72356296500 73240651235 73401752475 75250548360 76337822574 77531383800 78144800220 78385987875 78536854500 80513360100 81557502750 83733894504 84656866905 84819802860 86827555800 87222806775 87888781482 89459289000 93773760264 94063185450 94244225400 96616032120 96914229750 97681000275 97869003300 100641700125 101588240286 101783763432 104514650500 104667368130 106024753575 108534444750 108743337000 112875822540 116297075700 117185041976 117217200330 117442803960 117805281750 120770040150 122336254125 125417580600 125600841756 127229704290 129218973000 130241333700 131833172223 134188933500 135450987048 139556490840 141094778175 141366338100 144712593000 145371344625 146481302470 146803504950 152382360429 152675645148 156289600440 156771975750 157001052195 157073709000 161026720200 162801667125 163115005500 169313733810 169639605720 174445613550 175777562964 176707922625 188126370900 190425693211 190844556435 193828459500 195362000550 195738006600 201283400250 203176480572 209029301000 209334736260 212049507150 217068889500 219721953705 225751645080 232594151400 234434400660 235157963625 235610563500 241540080300 244672508250 251201683512 253970600715 254459408580 260482667400 261668420325 263666344446 268377867000 282189556350 282732676200 290742689250 292962604940 293043000825 293607009900 301925100375 304764720858 305351290296 313543951500 314002104390 318074260725 325603334250 326230011000 338627467620 348891227100 351555125928 353415845250 366203256175 367008762375 376252741800 380851386422 381689112870 387656919000 390724001100 395499516669 402566800500 406352961144 418669472520 423284334525 424099014300 434137779000 436114033875 439443907410 468868801320 470315927250 471221127000 483080160600 488405001375 489345016500 507941201430 508918817160 523336840650 527332688892 530123767875 564379112700 571277079633 581485378500 585925209880 586086001650 587214019800 603850200750 609529441716 627087903000 628004208780 636148521450 651206668500 659165861115 677254935240 697782454200 705473890875 706831690500 732406512350 734017524750 761702772844 761911802145 763378225740 781448002200 785005260975 790999033338 805133601000 846568669050 848198028600 872228067750 878887814820 940631854500 952128466055 954222782175 976810002750 978690033000 1015882402860 1046673681300 1054665377784 1060247535750 1098609768525 1128758225400 1142554159266 1162970757000 1172172003300 1186498550007 1207700401500 1219058883432 1256008417560 1269853003575 1272297042900 1302413337000 1308342101625 1318331722230 1410947781750 1413663381000 1464813024700 1465215004125 1468035049500 1523405545688 1523823604290 1526756451480 1570010521950 1581998066676 1590371303625 1693137338100 1713831238899 1744456135500 1757775629640 1831016280875 1881263709000 1904256932110 1908445564350 1953620005500 1977497583345 2031764805720 2093347362600 2116421672625 2120495071500 2197219537050 2285108318532 2344344006600 2372997100014 2415400803000 2539706007150 2544594085800 2616684203250 2636663444460 2821895563500 2856385398165 2929626049400 2930430008250 2936070099000 3047647208580 3140021043900 3163996133352 3180742607250 3295829305575 3386274676200 3427662477798 3488912271000 3559495650021 3662032561750 3808513864220 3809559010725 3816891128700 3907240011000 3925026304875 3954995166690 4232843345250 4240990143000 4394439074100 4570216637064 4745994200028 4760642330275 4771113910875 5079412014300 5141493716697 5233368406500 5273326888920 5493048842625 5643791127000 5712770796330 5860860016500 5932492750035 6095294417160 6280042087800 6349265017875 6361485214500 6591658611150 6855324955596 7118991300042 7324065123500 7617027728440 7619118021450 7633782257400 7850052609750 7909990333380 8465686690500 8569156194495 8788878148200 9491988400056 9521284660550 9542227821750 9887487916725 10158824028600 10282987433394 10466736813000 10678486950063 10986097685250 11425541592660 11721720033000 11864985500070 12698530035750 12722970429000 13183317222300 13710649911192 14237982600084 14281926990825 14648130247000 15238236042900 15424481150091 15700105219500 15819980666760 16479146527875 16931373381000 17138312388990 17797478250105 19042569321100 19047795053625 19084455643500 19774975833450 20565974866788 21356973900126 21972195370500 22851083185320 23729971000140 23803211651375 25397060071500 25707468583485 26366634444600 28475965200168 28563853981650 29662463750175 30476472085800 30848962300182 31400210439000 32958293055750 34276624777980 35594956500210 38085138642200 38095590107250 38168911287000 39549951666900 41131949733576 42713947800252 42845780972475 43944390741000 46273443450273 47459942000280 47606423302750 49437439583625 50794120143000 51414937166970 53392434750315 57127707963300 59324927500350 61697924600364 65916586111500 68553249555960 71189913000420 71409634954125 76191180214500 77122405750455 79099903333800 85427895600504 85691561944950 88987391250525 92546886900546 95212846605500 98874879167250 102829874333940 106784869500630 114255415926600 118649855000700 123395849200728 128537342917425 131833172223000 138820330350819 142379826000840 142819269908250 148312318750875 152382360429000 154244811500910 171383123889900 177974782501050 185093773801092 190425693211000 197749758334500 205659748667880 213569739001260 214228904862375 231367217251365 237299710001400 257074685834850 266962173751575 277640660701638 285638539816500 296624637501750 308489623001820 342766247779800 355949565002100 370187547602184 385612028752275 395499516669000 427139478002520 428457809724750 444936956252625 462734434502730 514149371669700 533924347503150 555281321403276 571277079633000 593249275003500 616979246003640 642686714587125 694101651754095 711899130004200 771224057504550 856915619449500 889873912505250 925468869005460 1028298743339400 1067848695006300 1110562642806552 1156836086256825 1186498550007000 1285373429174250 1334810868757875 1388203303508190 1542448115009100 1713831238899000 1779747825010500 1850937738010920 1928060143761375 2135697390012600 2313672172513650 2570746858348500 2669621737515750 2776406607016380 3084896230018200 3470508258770475 3559495650021000 3856120287522750 4627344345027300 5141493716697000 5339243475031500 5552813214032760 5784180431284125 6941016517540950 7712240575045500 9254688690054600 10678486950063000 11568360862568250 13882033035081900 15424481150091000 17352541293852375 23136721725136500 27764066070163800 34705082587704750 46273443450273000 69410165175409500 138820330350819000
- Sum of all divisors σ(n): 525339826521269760
- Sum of proper divisors (its aliquot sum) s(n): 386519496170450760
- 138820330350819000 is an abundant number, because the sum of its proper divisors (386519496170450760) is greater than itself. Its abundance is 247699165819631760
Bases of 138820330350819000
- Binary: 1111011010011000001011010110111100010100110110110101110002
- Hexadecimal: 0x1ED305ADE29B6B8
- Base-36: 11YVP7D45VI0
Squares and roots of 138820330350819000
- 138820330350819000 squared (1388203303508190002) is 19271084118710518823613970761000000
- 138820330350819000 cubed (1388203303508190003) is 2675218263577815857007208716833800738403259000000000
-
The
square root of 138820330350819000 is 372586003.9652845037 -
The
cube root of 138820330350819000 is 517786.8593739287
Scales and comparisons
How big is 138820330350819000?- 138,820,330,350,819,000 seconds is equal to 4,414,057,105 years, 35 weeks, 2 days, 19 hours, 30 minutes.
-
To count from 1 to 138,820,330,350,819,000 would take you about thirteen billion, two hundred forty-two million, one hundred seventy-one thousand, three hundred seventeen 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 138820330350819000 cubic inches would be around 43148.9 feet tall.
Recreational maths with 138820330350819000
- 138820330350819000 backwards is 000918053033028831
- 138820330350819000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138820330350819000's digits is 54
- More coming soon!
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"Number 138820330350819000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138820330350819000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138820330350819000/
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Numbermatics. 2024. "Number 138820330350819000 - Facts about the integer". https://numbermatics.com/n/138820330350819000/
The information we have on file for 138820330350819000 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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