138188429218781312000
138,188,429,218,781,312,000 is an even composite number composed of five prime numbers multiplied together.
138188429218781312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred eighty-eight divisors.
Prime factorization of 138188429218781312000:
210 × 53 × 72 × 612 × 769492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 61 × 61 × 76949 × 76949)See below for interesting mathematical facts about the number 138188429218781312000 from the Numbermatics database.
Names of 138188429218781312000
- Cardinal: 138188429218781312000 can be written as One hundred thirty-eight quintillion, one hundred eighty-eight quadrillion, four hundred twenty-nine trillion, two hundred eighteen billion, seven hundred eighty-one million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38188429218781312 × 1020
Factors of 138188429218781312000
Divisors of 138188429218781312000
- Number of divisors d(n): 1188
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 125 128 140 160 175 196 200 224 244 245 250 256 280 305 320 350 392 400 427 448 488 490 500 512 560 610 640 700 784 800 854 875 896 976 980 1000 1024 1120 1220 1225 1280 1400 1525 1568 1600 1708 1750 1792 1952 1960 2000 2135 2240 2440 2450 2560 2800 2989 3050 3136 3200 3416 3500 3584 3721 3904 3920 4000 4270 4480 4880 4900 5120 5600 5978 6100 6125 6272 6400 6832 7000 7168 7442 7625 7808 7840 8000 8540 8960 9760 9800 10675 11200 11956 12200 12250 12544 12800 13664 14000 14884 14945 15250 15616 15680 16000 17080 17920 18605 19520 19600 21350 22400 23912 24400 24500 25088 25600 26047 27328 28000 29768 29890 30500 31232 31360 32000 34160 35840 37210 39040 39200 42700 44800 47824 48800 49000 50176 52094 53375 54656 56000 59536 59780 61000 62464 62720 64000 68320 74420 74725 76949 78080 78400 85400 89600 93025 95648 97600 98000 104188 106750 109312 112000 119072 119560 122000 125440 128000 130235 136640 148840 149450 153898 156160 156800 170800 179200 182329 186050 191296 195200 196000 208376 213500 218624 224000 238144 239120 244000 250880 260470 273280 297680 298900 307796 312320 313600 341600 364658 372100 373625 382592 384745 390400 392000 416752 427000 437248 448000 465125 476288 478240 488000 520940 538643 546560 595360 597800 615592 627200 651175 683200 729316 744200 747250 765184 769490 780800 784000 833504 854000 896000 911645 930250 952576 956480 976000 1041880 1077286 1093120 1190720 1195600 1231184 1254400 1302350 1366400 1458632 1488400 1494500 1530368 1538980 1561600 1568000 1667008 1708000 1823290 1860500 1905152 1912960 1923725 1952000 2083760 2154572 2186240 2381440 2391200 2462368 2604700 2693215 2732800 2917264 2976800 2989000 3060736 3077960 3136000 3255875 3334016 3416000 3646580 3721000 3770501 3810304 3825920 3847450 3904000 4167520 4309144 4558225 4693889 4762880 4782400 4924736 5209400 5386430 5465600 5834528 5953600 5978000 6155920 6272000 6511750 6668032 6832000 7293160 7442000 7541002 7651840 7694900 7808000 8335040 8618288 9116450 9387778 9525760 9564800 9618625 9849472 10418800 10772860 10931200 11669056 11907200 11956000 12311840 13023500 13336064 13466075 13664000 14586320 14884000 15082004 15303680 15389800 16670080 17236576 18232900 18775556 18852505 19051520 19129600 19237250 19698944 20837600 21545720 22791125 23338112 23469445 23814400 23912000 24623680 26047000 26672128 26932150 27328000 29172640 29768000 30164008 30779600 32857223 33340160 34473152 36465800 37551112 37705010 38259200 38474500 39397888 41675200 43091440 45582250 46676224 46938890 47628800 47824000 49247360 52094000 53864300 54656000 58345280 59536000 60328016 61559200 65714446 66680320 67330375 68946304 72931600 75102224 75410020 76518400 76949000 78795776 83350400 86182880 91164500 93352448 93877780 94262525 95257600 95648000 98494720 104188000 107728600 116690560 117347225 119072000 120656032 123118400 131428892 133360640 134660750 137892608 145863200 150204448 150820040 153898000 164286115 166700800 172365760 182329000 186704896 187755560 188525050 191296000 196989440 208376000 215457200 230000561 233381120 234694450 238144000 241312064 246236800 262857784 269321500 275785216 286327229 291726400 300408896 301640080 307796000 328572230 333401600 344731520 364658000 375511120 377050100 382592000 393978880 416752000 430914400 460001122 466762240 469388900 471312625 476288000 482624128 492473600 525715568 538643000 551570432 572654458 583452800 586736125 600817792 603280160 615592000 657144460 666803200 689463040 729316000 751022240 754100200 821430575 833504000 861828800 920002244 933524480 938777800 942625250 965248256 984947200 1051431136 1077286000 1145308916 1150002805 1166905600 1173472250 1201635584 1206560320 1231184000 1314288920 1378926080 1431636145 1458632000 1502044480 1508200400 1642861150 1667008000 1723657600 1840004488 1877555600 1885250500 1930496512 1969894400 2004290603 2102862272 2154572000 2290617832 2300005610 2333811200 2346944500 2403271168 2413120640 2462368000 2628577840 2757852160 2863272290 2917264000 3004088960 3016400800 3285722300 3334016000 3447315200 3680008976 3755111200 3770501000 3860993024 4008581206 4107152875 4205724544 4309144000 4581235664 4600011220 4667622400 4693889000 4806542336 4826241280 4924736000 5257155680 5726544580 5750014025 5834528000 5921148601 6008177920 6032801600 6571444600 6894630400 7158180725 7360017952 7510222400 7541002000 8017162412 8214305750 8411449088 8618288000 9162471328 9200022440 9387778000 9652482560 9849472000 10021453015 10514311360 11453089160 11500028050 11669056000 11842297202 12016355840 12065603200 13142889200 13789260800 14030034221 14316361450 14720035904 15020444800 15082004000 16034324824 16428611500 16822898176 17236576000 18324942656 18400044880 18775556000 19304965120 20042906030 21028622720 22906178320 23000056100 23338112000 23684594404 24032711680 24131206400 26285778400 28060068442 28632722900 28750070125 29440071808 29605743005 30040889600 30164008000 32068649648 32857223000 33645796352 34473152000 35790903625 36649885312 36800089760 37551112000 40085812060 41448040207 42057245440 45812356640 46000112200 47369188808 48262412800 50107265075 52571556800 56120136884 57265445800 57500140250 58880143616 59211486010 60081779200 60328016000 64137299296 65714446000 68946304000 70150171105 71581807250 73299770624 73600179520 75102224000 80171624120 82896080414 84114490880 91624713280 92000224400 94738377616 96524825600 100214530150 105143113600 112240273768 114530891600 115000280500 117760287232 118422972020 120163558400 120656032000 128274598592 131428892000 140300342210 143163614500 146599541248 147200359040 148028715025 150204448000 160343248240 165792160828 168228981760 183249426560 184000448800 189476755232 200429060300 207240201035 210286227200 224480547536 229061783200 230000561000 235520574464 236845944040 241312064000 250536325375 256549197184 262857784000 280600684420 286327229000 290136281449 293199082496 294400718080 296057430050 300408896000 320686496480 331584321656 350750855525 361190064661 366498853120 368000897600 378953510464 400858120600 414480402070 420572454400 448961095072 458123566400 460001122000 473691888080 482624128000 501072650750 513098394368 525715568000 561201368840 572654458000 580272562898 588801436160 592114860100 600817792000 641372992960 663168643312 701501711050 722380129322 732997706240 736001795200 740143575125 757907020928 801716241200 828960804140 841144908800 897922190144 916247132800 920002244000 947383776160 1002145301500 1026196788736 1036201005175 1051431136000 1122402737680 1145308916000 1160545125796 1177602872320 1184229720200 1282745985920 1326337286624 1403003422100 1444760258644 1450681407245 1465995412480 1472003590400 1480287150250 1515814041856 1603432482400 1657921608280 1753754277625 1795844380288 1805950323305 1832494265600 1840004488000 1894767552320 2004290603000 2052393577472 2072402010350 2102862272000 2244805475360 2290617832000 2321090251592 2368459440400 2528330452627 2565491971840 2652674573248 2806006844200 2889520517288 2901362814490 2944007180800 2960574300500 3031628083712 3206864964800 3315843216560 3507508555250 3591688760576 3611900646610 3664988531200 3680008976000 3789535104640 4008581206000 4144804020700 4205724544000 4489610950720 4581235664000 4642180503184 4736918880800 5056660905254 5130983943680 5181005025875 5305349146496 5612013688400 5779041034576 5802725628980 5888014361600 5921148601000 6063256167424 6413729929600 6631686433120 7015017110500 7183377521152 7223801293220 7253407036225 7329977062400 7360017952000 7579070209280 8017162412000 8289608041400 8979221901440 9029751616525 9162471328000 9284361006368 9473837761600 10113321810508 10261967887360 10362010051750 10610698292992 11224027376800 11558082069152 11605451257960 11842297202000 12641652263135 12827459859200 13263372866240 14030034221000 14366755042304 14447602586440 14506814072450 14720035904000 15158140418560 16034324824000 16579216082800 17698313168389 17958443802880 18059503233050 18324942656000 18568722012736 18947675523200 20226643621016 20724020103500 21221396585984 22032593944321 22448054753600 23116164138304 23210902515920 23684594404000 25283304526270 25654919718400 26526745732480 28060068442000 28895205172880 29013628144900 29440071808000 30316280837120 32068649648000 33158432165600 35396626336778 35916887605760 36119006466100 36267035181125 36649885312000 37137444025472 37895351046400 40453287242032 41448040207000 42442793171968 44065187888642 44896109507200 45148758082625 46232328276608 46421805031840 47369188808000 50566609052540 51309839436800 53053491464960 56120136884000 57790410345760 58027256289800 63208261315675 64137299296000 66316864331200 70793252673556 71833775211520 72238012932200 72534070362250 74274888050944 75790702092800 80906574484064 82896080414000 88130375777284 88491565841945 89792219014400 90297516165250 92464656553216 92843610063680 94738377616000 101133218105080 106106982929920 110162969721605 112240273768000 115580820691520 116054512579600 126416522631350 128274598592000 132633728662400 141586505347112 144476025864400 145068140724500 148549776101888 151581404185600 154228157610247 161813148968128 165792160828000 176260751554568 176983131683890 179584438028800 180595032330500 184929313106432 185687220127360 189476755232000 202266436210160 212213965859840 220325939443210 224480547536000 231161641383040 232109025159200 252833045262700 256549197184000 265267457324800 283173010694224 288952051728800 290136281449000 297099552203776 308456315220494 316041306578375 323626297936256 331584321656000 352521503109136 353966263367780 359168876057600 361190064661000 369858626212864 371374440254720 378953510464000 404532872420320 440651878886420 442457829209725 448961095072000 462323282766080 464218050318400 505666090525400 530534914649600 550814848608025 566346021388448 577904103457600 580272562898000 616912630440988 632082613156750 647252595872512 663168643312000 705043006218272 707932526735560 722380129322000 742748880509440 757907020928000 771140788051235 809065744840640 881303757772840 884915658419450 897922190144000 924646565532160 928436100636800 1011332181050800 1061069829299200 1079597103271729 1101629697216050 1132692042776896 1155808206915200 1160545125796000 1233825260881976 1264165226313500 1294505191745024 1326337286624000 1410086012436544 1415865053471120 1444760258644000 1485497761018880 1542281576102470 1618131489681280 1762607515545680 1769831316838900 1795844380288000 1849293131064320 1856872201273600 2022664362101600 2159194206543458 2203259394432100 2212289146048625 2265384085553792 2311616413830400 2321090251592000 2467650521763952 2528330452627000 2589010383490048 2652674573248000 2754074243040125 2820172024873088 2831730106942240 2889520517288000 3084563152204940 3236262979362560 3525215031091360 3539662633677800 3713744402547200 3855703940256175 4045328724203200 4318388413086916 4406518788864200 4424578292097250 4530768171107584 4623232827660800 4642180503184000 4935301043527904 5056660905254000 5305349146496000 5397985516358645 5508148486080250 5640344049746176 5663460213884480 5779041034576000 6169126304409880 6472525958725120 7050430062182720 7079325267355600 7427488805094400 7711407880512350 8090657448406400 8636776826173832 8813037577728400 8849156584194500 9061536342215168 9246465655321600 9284361006368000 9870602087055808 10113321810508000 10795971032717290 11016296972160500 11280688099492352 11326920427768960 11558082069152000 12338252608819760 12945051917450240 14100860124365440 14158650534711200 15422815761024700 16181314896812800 17273553652347664 17626075155456800 17698313168389000 18123072684430336 18568722012736000 19278519701280875 19741204174111616 20226643621016000 21591942065434580 22032593944321000 22561376198984704 22653840855537920 23116164138304000 24676505217639520 26989927581793225 28201720248730880 28317301069422400 30845631522049400 32362629793625600 34547107304695328 35252150310913600 35396626336778000 37137444025472000 38557039402561750 39482408348223232 40453287242032000 43183884130869160 44065187888642000 45307681711075840 46232328276608000 49353010435279040 53979855163586450 56403440497461760 56634602138844800 61691263044098800 64725259587251200 69094214609390656 70504300621827200 70793252673556000 77114078805123500 78964816696446464 80906574484064000 86367768261738320 88130375777284000 90615363422151680 98706020870558080 107959710327172900 112806880994923520 113269204277689600 123382526088197600 134949637908966125 138188429218781312 141008601243654400 141586505347112000 154228157610247000 157929633392892928 161813148968128000 172735536523476640 176260751554568000 197412041741116160 215919420654345800 226538408555379200 246765052176395200 269899275817932250 276376858437562624 282017202487308800 283173010694224000 308456315220494000 323626297936256000 345471073046953280 352521503109136000 394824083482232320 431838841308691600 453076817110758400 493530104352790400 539798551635864500 552753716875125248 564034404974617600 566346021388448000 616912630440988000 690942146093906560 705043006218272000 789648166964464640 863677682617383200 987060208705580800 1079597103271729000 1105507433750250496 1132692042776896000 1233825260881976000 1381884292187813120 1410086012436544000 1727355365234766400 1974120417411161600 2159194206543458000 2265384085553792000 2467650521763952000 2763768584375626240 2820172024873088000 3454710730469532800 3948240834822323200 4318388413086916000 4935301043527904000 5527537168751252480 6909421460939065600 8636776826173832000 9870602087055808000 13818842921878131200 17273553652347664000 19741204174111616000 27637685843756262400 34547107304695328000 69094214609390656000 138188429218781312000
- Sum of all divisors σ(n): 407723029514483749092
- Sum of proper divisors (its aliquot sum) s(n): 269534600295702437092
- 138188429218781312000 is an abundant number, because the sum of its proper divisors (269534600295702437092) is greater than itself. Its abundance is 131346171076921125092
Bases of 138188429218781312000
- Binary: 11101111101101111111110110000111000100001101010101110110100000000002
- Hexadecimal: 0x77DBFEC3886ABB400
- Base-36: T5W2LVBS7P6GW
Squares and roots of 138188429218781312000
- 138188429218781312000 squared (1381884292187813120002) is 19096041969954132647542958480441344000000
- 138188429218781312000 cubed (1381884292187813120003) is 2638852044123883908815201862875898586721059579363328000000000
-
The
square root of 138188429218781312000 is 11755357468.7791316013 -
The
cube root of 138188429218781312000 is 5170000.2022627279
Scales and comparisons
How big is 138188429218781312000?- 138,188,429,218,781,312,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,188,429,218,781,312,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138188429218781312000 cubic inches would be around 430833.4 feet tall.
Recreational maths with 138188429218781312000
- 138188429218781312000 backwards is 000213187812924881831
- The number of decimal digits it has is: 21
- The sum of 138188429218781312000's digits is 77
- More coming soon!
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The information we have on file for 138188429218781312000 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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