138642463673069400
138,642,463,673,069,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138642463673069400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138642463673069400 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 138642463673069400:
23 × 32 × 52 × 112 × 101 × 113 × 241 × 231431
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 101 × 113 × 241 × 231431)See below for interesting mathematical facts about the number 138642463673069400 from the Numbermatics database.
Names of 138642463673069400
- Cardinal: 138642463673069400 can be written as One hundred thirty-eight quadrillion, six hundred forty-two trillion, four hundred sixty-three billion, six hundred seventy-three million, sixty-nine thousand, four hundred.
Scientific notation
- Scientific notation: 1.386424636730694 × 1017
Factors of 138642463673069400
Divisors of 138642463673069400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 101 110 113 120 121 132 150 165 180 198 200 202 220 225 226 241 242 264 275 300 303 330 339 360 363 396 404 440 450 452 482 484 495 505 550 565 600 605 606 660 678 723 726 792 808 825 900 904 909 964 968 990 1010 1017 1089 1100 1111 1130 1205 1210 1212 1243 1320 1356 1446 1452 1515 1650 1695 1800 1815 1818 1928 1980 2020 2034 2169 2178 2200 2222 2260 2410 2420 2424 2475 2486 2525 2651 2712 2825 2892 2904 3025 3030 3300 3333 3390 3615 3630 3636 3729 3960 4040 4068 4338 4356 4444 4520 4545 4820 4840 4950 4972 5050 5085 5302 5445 5555 5650 5784 6025 6050 6060 6215 6600 6666 6780 7230 7260 7272 7458 7575 7953 8136 8475 8676 8712 8888 9075 9090 9640 9900 9944 9999 10100 10170 10604 10845 10890 11110 11187 11300 11413 12050 12100 12120 12221 12430 13255 13332 13560 13673 14460 14520 14916 15150 15906 16665 16950 17352 18075 18150 18180 18645 19800 19998 20200 20340 21208 21690 21780 22220 22374 22600 22725 22826 23859 24100 24200 24341 24442 24860 25425 26510 26664 27225 27233 27346 27775 28920 29161 29832 30300 31075 31812 33330 33900 34239 36150 36300 36360 36663 37290 39765 39996 40680 41019 43380 43560 44440 44748 45450 45652 47718 48200 48682 48884 49720 49995 50850 53020 54225 54450 54466 54692 55550 55935 57065 58322 60600 61105 62150 63624 66275 66660 67800 68365 68478 72300 72600 73023 73326 74580 79530 79992 81699 82038 83325 86760 87483 89496 90900 91304 93225 95436 97364 97768 99990 101700 102717 106040 108450 108900 108932 109384 109989 111100 111870 114130 116644 119295 121705 122210 123057 124300 125543 132550 133320 136165 136730 136956 144600 145805 146046 146652 149160 159060 163398 164076 166650 171195 174966 181800 183315 186450 190872 194728 198825 199980 203400 205095 205434 216900 217800 217864 219069 219978 222200 223740 228260 231431 233288 238590 243410 244420 245097 246114 248600 249975 251086 262449 265100 267751 272330 273460 273912 279675 285325 291610 292092 293304 299563 305525 318120 326796 328152 333300 341825 342390 349932 365115 366630 372900 376629 397650 399960 408495 410190 410868 433800 437415 438138 439956 447480 456520 462862 477180 486820 488840 490194 492228 499950 502172 513585 524898 530200 535502 544660 546920 549945 559350 570650 583220 584184 596475 599126 608525 611050 615285 627715 653592 666600 680825 683650 684780 694293 699864 729025 730230 733260 745800 753258 795300 803253 816990 820380 821736 855975 874830 876276 879912 898689 916575 925724 954360 973640 980388 984456 999900 1004344 1025475 1027170 1049796 1071004 1089320 1095345 1099890 1118700 1129887 1141300 1157155 1166440 1192950 1198252 1217050 1222100 1225485 1230570 1255430 1312245 1338755 1361650 1367300 1369560 1380973 1388586 1458050 1460460 1466520 1497815 1506516 1590600 1606506 1633980 1640760 1711950 1749660 1752552 1797378 1825575 1833150 1851448 1883145 1960776 1999800 2042475 2050950 2054340 2082879 2099592 2142008 2187075 2190690 2199780 2237400 2259774 2282600 2314310 2385900 2396504 2409759 2434100 2444200 2450970 2461140 2510860 2545741 2567925 2624490 2677510 2696067 2723300 2734600 2749725 2750533 2761946 2777172 2916100 2920920 2945261 2995630 3013032 3076425 3138575 3213012 3267960 3295193 3423900 3471465 3499320 3594756 3651150 3666300 3766290 4016265 4084950 4101900 4108680 4142919 4165758 4374150 4381380 4399560 4493445 4519548 4628620 4771800 4819518 4868200 4901940 4922280 5021720 5091482 5135850 5248980 5355020 5392134 5446600 5476725 5499450 5501066 5523892 5554344 5649435 5785775 5832200 5890522 5991260 6127425 6152850 6277150 6426024 6561225 6590386 6693775 6847800 6904865 6942930 7189512 7302300 7332600 7489075 7532580 7637223 8032530 8169900 8203800 8251599 8285838 8331516 8748300 8762760 8835783 8986890 9039096 9257240 9415725 9639036 9803880 9885579 10182964 10271700 10414395 10497960 10710040 10784268 10953450 10998900 11002132 11047784 11298870 11571550 11781044 11982520 12048795 12254850 12305700 12428757 12554300 12728705 13122450 13180772 13387550 13480335 13752665 13809730 13885860 14604600 14726305 14978150 15065160 15274446 16065060 16339800 16475965 16503198 16571676 16663032 17357325 17496600 17671566 17973780 18831450 19278072 19771158 20081325 20365928 20543400 20714595 20828790 21568536 21906900 21997800 22004264 22467225 22597740 22911669 23143100 23374531 23562088 24097590 24509700 24611400 24754797 24857514 25108600 25457410 26151703 26244900 26361544 26507349 26775100 26960670 27505330 27619460 27771720 28003151 28247175 29452610 29656737 29956300 30255863 30548892 32130120 32951930 33006396 33143352 34524325 34714650 35343132 35947560 37662900 38186115 39542316 40162650 41257995 41429190 41657580 43813800 44178915 44934450 45195480 45823338 46286200 46749062 48195180 49019400 49427895 49509594 49715028 50914820 52071975 52303406 52489800 53014698 53550200 53921340 55010660 55238920 55774871 56006302 56494350 58905220 59313474 59912600 60243975 60511726 61097784 62143785 63643525 65903860 66012792 67401675 68763325 69048650 69429300 70123593 70686264 73631525 75325800 76372230 78455109 79084632 80325300 82379825 82515990 82858380 83315160 84009453 88357830 89868900 90767589 91646676 93498124 96390360 98855790 99019188 99430056 101829640 103572975 104143950 104606812 106029396 107842680 110021320 111549742 112012604 112988700 114558345 116872655 117810440 118626948 120487950 121023452 123773985 124287570 127287050 130758515 131807720 132536745 134803350 137526650 138097300 138858600 140015755 140247186 147263050 148283685 151279315 152744460 156910218 160650600 164759650 165031980 165716760 167324613 168018906 176715660 179737800 181535178 183293352 186996248 190930575 197711580 198038376 206289975 207145950 208287900 209213624 210370779 212058792 220894575 223099484 224025208 225977400 229116690 233745310 235365327 237253896 240975900 242046904 247139475 247547970 248575140 252028359 254574100 257119841 261517030 265073490 269606700 272302767 275053300 276194600 278874355 280031510 280494372 287668733 294526100 296567370 302558630 305488920 310718925 313820436 329519300 330063960 332814493 334649226 336037812 350617965 353431320 363070356 381861150 392275545 395423160 412579950 414291900 416575800 420047265 420741558 441789150 446198968 453837945 458233380 467490620 470730654 481951800 494278950 495095940 497150280 501973839 504056718 509148200 514239682 523034060 530146980 539213400 544605534 550106600 557748710 560063020 560988744 572791725 575337466 584363275 589052200 593134740 605117260 613523581 618869925 621437850 627640872 653792575 659038600 662683725 665628986 669298452 672075624 700078775 701235930 726140712 741418425 756396575 763722300 771359523 784551090 825159900 828583800 836623065 840094530 841483116 863006199 883578300 907675890 916466760 934981240 941461308 988557900 990191880 998443479 1003947678 1008113436 1028479364 1046068120 1051853895 1060293960 1089211068 1115497420 1120126040 1145583450 1150674932 1168726550 1176826635 1186269480 1210234520 1227047162 1237739850 1242875700 1260141795 1285599205 1307585150 1325367450 1331257972 1338596904 1361513835 1394371775 1400157550 1402471860 1438343665 1482836850 1512793150 1527444600 1542719046 1569102180 1650319800 1664072465 1673246130 1680189060 1682966232 1726012398 1753089825 1767156600 1815351780 1840570743 1882922616 1961377725 1977115800 1996886958 2007895356 2016226872 2056958728 2100236325 2103707790 2178422136 2230994840 2269189725 2291166900 2301349864 2314078569 2337453100 2353653270 2454094324 2475479700 2485751400 2509869195 2520283590 2571198410 2589018597 2615170300 2641322003 2650734900 2662515944 2723027670 2788743550 2800315100 2804943720 2828318251 2876687330 2965673700 2995330437 3025586300 3067617905 3085438092 3138204360 3164356063 3328144930 3346492260 3360378120 3452024796 3506179650 3630703560 3681141486 3856797615 3922755450 3993773916 4015790712 4183115325 4200472650 4207415580 4315030995 4538379450 4582333800 4628157138 4674906200 4707306540 4908188648 4950959400 4992217395 5019738390 5040567180 5142396820 5178037194 5230340600 5259269475 5282644006 5301469800 5446055340 5521712229 5577487100 5600630200 5633261971 5656636502 5753374660 5884133175 5931347400 5990660874 6051172600 6135235810 6170876184 6300708975 6302560423 6328712126 6427996025 6656289860 6692984520 6748759391 6807569175 6904049592 7012359300 7191718325 7362282972 7713595230 7845510900 7923966009 7987547832 8320362325 8366230650 8400945300 8414831160 8484954753 8630061990 9076758900 9202853715 9256314276 9414613080 9493068189 9984434790 10039476780 10081134360 10284793640 10356074388 10518538950 10565288012 10892110680 11043424458 11154974200 11266523942 11313273004 11506749320 11570392845 11768266350 11981321748 12270471620 12549345975 12601417950 12605120846 12657424252 12855992050 12945092985 13206610015 13312579720 13497518782 13615138350 14024718600 14141591255 14383436650 14724565944 14976652185 15338089525 15427190460 15691021800 15821780315 15847932018 16640724650 16732461300 16801890600 16899785913 16969909506 17260123980 18153517800 18405707430 18512628552 18907681269 18986136378 19283988075 19968869580 20078953560 20246278173 20712148776 21037077900 21130576024 21575154975 22086848916 22533047884 22626546008 23140785690 23536532700 23771898027 23962643496 24540943240 24961086975 25098691950 25202835900 25210241692 25314848504 25454864259 25711984100 25890185970 26413220030 26995037564 27230276700 27608561145 28166309855 28283182510 28479204567 28766873300 29054542033 29953304370 30676179050 30854380920 31512802115 31643560630 31695864036 33281449300 33464922600 33743796955 33799571826 33939819012 34520247960 36811414860 37815362538 37972272756 38567976150 39619830045 39937739160 40492556346 42074155800 42424773765 43150309950 44173697832 45066095768 46014268575 46281571380 47073065400 47465340945 47543796054 49922173950 50197383900 50405671800 50420483384 50699357739 50909728518 51423968200 51780371940 52826440060 53990075128 54460553400 55217122290 56332619710 56566365020 56723043807 56958409134 57533746600 57851964225 58109084066 59906608740 60738834519 61352358100 61965881681 63025604230 63287121260 63391728072 64725464925 66033050075 66562898600 67487593910 67599143652 67879638024 69328164653 70707956275 73622829720 74883260925 75630725076 75944545512 77135952300 79108901575 79239660090 80985112692 84498929565 84849547530 86300619900 87163626099 92028537150 92563142760 94538406345 94930681890 95087592108 99844347900 100394767800 101231390865 101398715478 101819457036 103560743880 105652880120 110434244580 112665239420 113132730040 113446087614 113916818268 115703928450 116218168132 118859490135 119813217480 121477669038 122704716200 123931763362 126051208460 126574242520 127274321295 129450929850 132066100150 134975187820 135198287304 138042805725 138656329306 140831549275 141415912550 142396022835 145272710165 149766521850 151261450152 154271904600 157564010575 158217803150 158479320180 161970225384 168718984775 168997859130 169699095060 172601239800 174327252198 184057074300 185897645043 189076812690 189861363780 190175184216 198099150225 199688695800 202462781730 202797430956 203638914072 207984493959 212123868825 220868489160 225330478840 226892175228 227833636536 231407856900 232436336264 237326704725 237718980270 242955338076 247863526724 252102416920 253496788695 254548642590 258901859700 261490878297 264132200300 269950375640 276085611450 277312658612 281663098550 282831825100 283615219035 284792045670 290545420330 299533043700 303694172595 309829408405 315128021150 316435606300 316958640360 319599962363 337437969550 337995718260 339398190120 346640823265 348654504396 368114148600 371795290086 378153625380 379722727560 396198300450 404925563460 405594861912 415968987918 422494647825 424247737650 435818130495 453784350456 462815713800 472692031725 474653409450 475437960540 485910676152 495727053448 506156954325 506993577390 509097285180 517803719400 522981756594 528264400600 552171222900 554625317224 557692935129 563326197100 565663650200 567230438070 569584091340 581090840660 594297450675 599066087400 607388345190 619658816810 623953481877 630256042300 632871212600 636371606475 636558602723 639199924726 674875939100 675991436520 681624698491 693281646530 697309008792 711980114175 726363550825 743590580172 756307250760 762609811183 792396600900 809851126920 831937975836 844989295650 848495475300 871636260990 929488225215 945384063450 949306818900 950875921080 958799887089 1012313908650 1013987154780 1018194570360 1039922469795 1045963513188 1104342445800 1115385870258 1126652394200 1134460876140 1139168182680 1162181681320 1188594901350 1214776690380 1239317633620 1247906963754 1260512084600 1267483943475 1272743212950 1273117205446 1278399849452 1307454391485 1349751878200 1363249396982 1386563293060 1418076095175 1423960228350 1452727101650 1487181160344 1518470862975 1525219622366 1549147042025 1584793201800 1597999811815 1663875951672 1689978591300 1696990950600 1733204116325 1743272521980 1858976450430 1890768126900 1898613637800 1909675808169 1917599774178 2024627817300 2027974309560 2044874095473 2079844939590 2091927026376 2179090652475 2230771740516 2268921752280 2287829433549 2377189802700 2429553380760 2478635267240 2495813927508 2534967886950 2545486425900 2546234410892 2556799698904 2614908782970 2726498793964 2773126586120 2788464675645 2836152190350 2847920456700 2876399661267 2905454203300 3036941725950 3050439244732 3098294084050 3119767409385 3182793013615 3195999623630 3379957182600 3408123492455 3466408232650 3486545043960 3717952900860 3781536253800 3813049055915 3819351616338 3835199548356 4049255634600 4089748190946 4159689879180 4358181304950 4461543481032 4575658867098 4647441126075 4754379605400 4793999435445 4991627855016 5069935773900 5090972851800 5092468821784 5199612348975 5229817565940 5452997587928 5576929351290 5672304380700 5695840913400 5729027424507 5752799322534 5810908406600 6073883451900 6100878489464 6134622286419 6196588168100 6239534818770 6365586027230 6391999247260 6537271957425 6816246984910 6863488300647 6932816465300 7002144629953 7435905801720 7626098111830 7638703232676 7670399096712 7989999059075 8179496381892 8319379758360 8716362609900 9151317734196 9294882252150 9548379040845 9587998870890 10139871547800 10224370477365 10399224697950 10459635131880 11153858702580 11344608761400 11439147167745 11458054849014 11505598645068 12147766903800 12269244572838 12393176336200 12479069637540 12731172054460 12783998494520 13074543914850 13632493969820 13726976601294 13865632930600 13942323378225 14004289259906 14381998306335 15252196223660 15277406465352 15598837046925 15913965068075 15979998118150 16358992763784 17040617462275 17432725219800 18302635468392 18589764504300 19065245279575 19096758081690 19175997741780 20448740954730 20798449395900 21006433889859 22307717405160 22878294335490 22916109698028 23011197290136 23969997177225 24538489145676 24958139275080 25462344108920 26149087829700 27264987939640 27453953202588 27884646756450 28008578519812 28645137122535 28763996612670 30504392447320 30673111432095 31197674093850 31827930136150 31959996236300 34081234924550 34317441503235 35010723149765 37179529008600 38130490559150 38193516163380 38351995483560 40897481909460 41596898791800 42012867779718 45756588670980 45832219396056 47741895204225 47939994354450 49076978291352 51121852386825 52298175659400 54907906405176 55769293512900 56017157039624 57195735838725 57290274245070 57527993225340 61346222864190 62395348187700 63019301669577 63655860272300 63919992472600 68162469849100 68634883006470 70021446299530 71909991531675 76260981118300 76387032326760 77023590929483 81794963818920 84025735559436 91513177341960 95483790408450 95879988708900 102243704773650 105032169449295 111538587025800 114391471677450 114580548490140 115055986450680 122692445728380 124790696375400 126038603339154 127311720544600 136324939698200 137269766012940 140042892599060 143225685612675 143819983063350 152521962236600 153365557160475 154047181858966 168051471118872 171587207516175 175053615748825 190967580816900 191759977417800 204487409547300 210064338898590 228782943354900 229161096980280 231070772788449 245384891456760 252077206678308 274539532025880 280085785198120 286451371225350 287639966126700 306731114320950 308094363717932 315096508347885 343174415032350 350107231497650 381935161633800 385117954647415 408974819094600 420128677797180 457565886709800 462141545576898 504154413356616 525160847246475 572902742450700 575279932253400 613462228641900 616188727435864 630193016695770 686348830064700 693212318365347 700214462995300 770235909294830 840257355594360 924283091153796 1050321694492950 1145805484901400 1155353863942245 1226924457283800 1260386033391540 1372697660129400 1386424636730694 1400428925990600 1540471818589660 1575482541739425 1848566182307592 1925589773237075 2100643388985900 2310707727884490 2520772066783080 2772849273461388 3080943637179320 3150965083478850 3466061591826735 3851179546474150 4201286777971800 4621415455768980 5545698546922776 5776769319711225 6301930166957700 6932123183653470 7702359092948300 9242830911537960 11553538639422450 12603860333915400 13864246367306940 15404718185896600 17330307959133675 23107077278844900 27728492734613880 34660615918267350 46214154557689800 69321231836534700 138642463673069400
- Sum of all divisors σ(n): 523590482618723520
- Sum of proper divisors (its aliquot sum) s(n): 384948018945654120
- 138642463673069400 is an abundant number, because the sum of its proper divisors (384948018945654120) is greater than itself. Its abundance is 246305555272584720
Bases of 138642463673069400
- Binary: 1111011001000111010010110000011100000010010101111010110002
- Hexadecimal: 0x1EC8E960E04AF58
- Base-36: 11X4NGJGM1Y0
Squares and roots of 138642463673069400
- 138642463673069400 squared (1386424636730694002) is 19221732733338368224886817216360000
- 138642463673069400 cubed (1386424636730694003) is 2664948382215313700887661733210589426405095384000000
-
The
square root of 138642463673069400 is 372347235.3503774841 -
The
cube root of 138642463673069400 is 517565.6228301485
Scales and comparisons
How big is 138642463673069400?- 138,642,463,673,069,400 seconds is equal to 4,408,401,495 years, 26 weeks, 2 days, 5 hours, 30 minutes.
-
To count from 1 to 138,642,463,673,069,400 would take you about thirteen billion, two hundred twenty-five million, two hundred four thousand, four hundred eighty-six 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 138642463673069400 cubic inches would be around 43130.5 feet tall.
Recreational maths with 138642463673069400
- 138642463673069400 backwards is 004960376364246831
- 138642463673069400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138642463673069400's digits is 72
- More coming soon!
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"Number 138642463673069400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138642463673069400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138642463673069400/
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The information we have on file for 138642463673069400 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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