138713907489552175104
138,713,907,489,552,175,104 is an even composite number composed of four prime numbers multiplied together.
138713907489552175104 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty-five divisors.
Prime factorization of 138713907489552175104:
212 × 36 × 734 × 12792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 73 × 73 × 73 × 73 × 1279 × 1279)See below for interesting mathematical facts about the number 138713907489552175104 from the Numbermatics database.
Names of 138713907489552175104
- Cardinal: 138713907489552175104 can be written as One hundred thirty-eight quintillion, seven hundred thirteen quadrillion, nine hundred seven trillion, four hundred eighty-nine billion, five hundred fifty-two million, one hundred seventy-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38713907489552175104 × 1020
Factors of 138713907489552175104
Divisors of 138713907489552175104
- Number of divisors d(n): 1365
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 243 256 288 292 324 384 432 438 486 512 576 584 648 657 729 768 864 876 972 1024 1152 1168 1279 1296 1314 1458 1536 1728 1752 1944 1971 2048 2304 2336 2558 2592 2628 2916 3072 3456 3504 3837 3888 3942 4096 4608 4672 5116 5184 5256 5329 5832 5913 6144 6912 7008 7674 7776 7884 9216 9344 10232 10368 10512 10658 11511 11664 11826 12288 13824 14016 15348 15552 15768 15987 17739 18432 18688 20464 20736 21024 21316 23022 23328 23652 27648 28032 30696 31104 31536 31974 34533 35478 36864 37376 40928 41472 42048 42632 46044 46656 47304 47961 53217 55296 56064 61392 62208 63072 63948 69066 70956 74752 81856 82944 84096 85264 92088 93312 93367 94608 95922 103599 106434 110592 112128 122784 124416 126144 127896 138132 141912 143883 149504 163712 165888 168192 170528 184176 186624 186734 189216 191844 207198 212868 224256 245568 248832 252288 255792 276264 280101 283824 287766 299008 310797 327424 331776 336384 341056 368352 373248 373468 378432 383688 389017 414396 425736 431649 448512 491136 497664 504576 511584 552528 560202 567648 575532 621594 654848 672768 682112 736704 746496 746936 756864 767376 778034 828792 840303 851472 863298 897024 932391 982272 995328 1009152 1023168 1105056 1120404 1135296 1151064 1167051 1243188 1294947 1309696 1345536 1364224 1473408 1492992 1493872 1513728 1534752 1556068 1635841 1657584 1680606 1702944 1726596 1864782 1964544 2018304 2046336 2210112 2240808 2270592 2302128 2334102 2486376 2520909 2589894 2619392 2691072 2728448 2946816 2985984 2987744 3027456 3069504 3112136 3271682 3315168 3361212 3405888 3453192 3501153 3729564 3884841 3929088 4036608 4092672 4420224 4481616 4541184 4604256 4668204 4907523 4972752 5041818 5179788 5238784 5456896 5893632 5975488 6054912 6139008 6224272 6543364 6630336 6722424 6811776 6815791 6906384 7002306 7459128 7562727 7769682 7858176 8073216 8185344 8840448 8963232 9082368 9208512 9336408 9815046 9945504 10083636 10359576 10503459 10913792 11787264 11950976 12109824 12278016 12448544 13086728 13260672 13444848 13623552 13631582 13812768 14004612 14722569 14918256 15125454 15539364 15716352 16370688 17680896 17926464 18164736 18417024 18672816 19630092 19891008 20167272 20447373 20719152 21006918 21827584 22688181 23574528 23901952 24219648 24556032 24897088 26173456 26521344 26889696 27247104 27263164 27625536 28009224 28398241 29445138 29836512 30250908 31078728 31510377 32741376 35361792 35852928 36329472 36834048 37345632 39260184 39782016 40334544 40894746 41438304 42013836 44167707 45376362 47149056 47803904 49112064 49794176 52346912 53042688 53779392 54494208 54526328 55251072 56018448 56796482 58890276 59673024 60501816 61342119 62157456 63020754 65482752 68064543 70723584 71705856 72658944 73668096 74691264 78520368 79564032 80669088 81789492 82876608 84027672 85194723 88335414 90752724 94531131 95607808 98224128 99588352 104693824 106085376 107558784 108988416 109052656 110502144 112036896 113592964 117780552 119346048 119416393 121003632 122684238 124314912 126041508 132503121 136129086 141447168 143411712 147336192 149382528 157040736 159128064 161338176 163578984 165753216 168055344 170389446 176670828 181505448 184026357 189062262 191215616 196448256 199176704 209387648 212170752 215117568 217976832 218105312 221004288 224073792 227185928 235561104 238692096 238832786 242007264 245368476 248629824 252083016 255584169 265006242 272258172 283593393 286823424 294672384 298765056 314081472 318256128 322676352 327157968 331506432 336110688 340778892 353341656 358249179 363010896 368052714 378124524 382431232 397509363 398353408 418775296 424341504 430235136 436210624 442008576 448147584 454371856 471122208 477384192 477665572 484014528 490736952 497259648 497552743 504166032 511168338 530012484 544516344 552079071 567186786 573646848 589344768 597530112 628162944 636512256 645352704 654315936 663012864 672221376 681557784 706683312 716498358 726021792 736105428 756249048 766752507 795018726 796706816 837550592 860470272 872421248 884017152 896295168 908743712 942244416 954768384 955331144 968029056 981473904 994519296 995105486 1008332064 1022336676 1060024968 1074747537 1089032688 1104158142 1134373572 1147293696 1192528089 1195060224 1256325888 1273024512 1290705408 1308631872 1326025728 1344442752 1363115568 1413366624 1432996716 1452043584 1472210856 1492658229 1512498096 1533505014 1590037452 1593413632 1656237213 1675101184 1720940544 1744842496 1768034304 1792590336 1817487424 1884488832 1909536768 1910662288 1936058112 1962947808 1989038592 1990210972 2016664128 2044673352 2120049936 2149495074 2178065376 2208316284 2268747144 2300257521 2385056178 2390120448 2512651776 2581410816 2617263744 2652051456 2688885504 2726231136 2826733248 2865993432 2904087168 2944421712 2985316458 3024996192 3067010028 3180074904 3224242611 3312474426 3350202368 3441881088 3489684992 3585180672 3634974848 3768977664 3819073536 3821324576 3872116224 3925895616 3978077184 3980421944 4033328256 4089346704 4240099872 4298990148 4356130752 4416632568 4477974687 4537494288 4600515042 4770112356 4780240896 4968711639 5025303552 5162821632 5234527488 5304102912 5377771008 5452462272 5653466496 5731986864 5808174336 5888843424 5970632916 6049992384 6134020056 6360149808 6448485222 6624948852 6700404736 6900772563 6979369984 7170361344 7269949696 7537955328 7642649152 7744232448 7851791232 7956154368 7960843888 8066656512 8178693408 8480199744 8597980296 8712261504 8717396689 8833265136 8955949374 9074988576 9201030084 9540224712 9672727833 9937423278 10050607104 10325643264 10469054976 10755542016 10904924544 11306932992 11463973728 11616348672 11777686848 11941265832 12099984768 12268040112 12720299616 12896970444 13249897704 13433924061 13801545126 13958739968 14340722688 14539899392 15075910656 15285298304 15488464896 15703582464 15912308736 15921687776 16133313024 16357386816 16960399488 17195960592 17424523008 17434793378 17666530272 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317997544896 322414177464 326892152151 331237083024 348218201988 348957585408 362715949647 366847159296 376885979136 382120506624 387199512576 392577283584 407049587712 412703054208 418435041072 423996726528 429885569952 435856202868 441649444032 464290935984 470739421206 483621266196 489129545728 509494008832 523436378112 542732783616 550270738944 557913388096 565328968704 573180759936 580799268864 581141603824 588865925376 610574381568 619054581312 627652561608 635995089792 636369958297 644828354928 653784304302 662474166048 696436403976 706109131809 725431899294 733694318592 753771958272 764241013248 785154567168 814099175424 825406108416 836870082144 847993453056 859771139904 871712405736 883298888064 928581871968 941478842412 967242532392 980676456453 1018988017664 1046872756224 1100541477888 1115826776192 1130657937408 1146361519872 1161598537728 1162283207648 1177731850752 1221148763136 1238109162624 1255305123216 1271990179584 1272739916594 1289656709856 1307568608604 1324948332096 1392872807952 1412218263618 1450863798588 1467388637184 1528482026496 1570309134336 1628198350848 1650812216832 1673740164288 1695986906112 1719542279808 1743424811472 1766597776128 1857163743936 1882957684824 1909109874891 1934485064784 1961352912906 2037976035328 2118327395427 2201082955776 2231653552384 2261315874816 2292723039744 2324566415296 2355463701504 2442297526272 2476218325248 2510610246432 2543980359168 2545479833188 2579313419712 2615137217208 2649896664192 2785745615904 2824436527236 2901727597176 2942029369359 3056964052992 3140618268672 3301624433664 3347480328576 3391973812224 3439084559616 3486849622944 3533195552256 3714327487872 3765915369648 3818219749782 3868970129568 3922705825812 4236654790854 4402165911552 4463307104768 4585446079488 4649132830592 4710927403008 4884595052544 4952436650496 5021220492864 5087960718336 5090959666376 5158626839424 5230274434416 5299793328384 5571491231808 5648873054472 5727329624673 5803455194352 5884058738718 6113928105984 6354982186281 6603248867328 6694960657152 6783947624448 6878169119232 6973699245888 7066391104512 7428654975744 7531830739296 7636439499564 7737940259136 7845411651624 8473309581708 8826088108077 8926614209536 9170892158976 9298265661184 9421854806016 9904873300992 10042440985728 10175921436672 10181919332752 10317253678848 10460548868832 10599586656768 11142982463616 11297746108944 11454659249346 11606910388704 11768117477436 12709964372562 13206497734656 13389921314304 13756338238464 13947398491776 14132782209024 14857309951488 15063661478592 15272878999128 15475880518272 15690823303248 16946619163416 17181988874019 17652176216154 17853228419072 18341784317952 18596531322368 19809746601984 20084881971456 20351842873344 20363838665504 20634507357696 20921097737664 21199173313536 22285964927232 22595492217888 22909318498692 23213820777408 23536234954872 25419928745124 26478264324231 26779842628608 27512676476928 27894796983552 28265564418048 29714619902976 30127322957184 30545757998256 30951761036544 31381646606496 33893238326832 34363977748038 35304352432308 35706456838144 37193062644736 39619493203968 40169763942912 40727677331008 41269014715392 41842195475328 42398346627072 44571929854464 45190984435776 45818636997384 46427641554816 46455006955681 47072469909744 50839857490248 51545966622057 52956528648462 53559685257216 55025352953856 55789593967104 59429239805952 60254645914368 61091515996512 61903522073088 62763293212992 67786476653664 68727955496076 70608704864616 74386125289472 80339527885824 81455354662016 82538029430784 83684390950656 84796693254144 89143859708928 90381968871552 91637273994768 92855283109632 92910013911362 94144939819488 101679714980496 103091933244114 105913057296924 107119370514432 111579187934208 118858479611904 120509291828736 122183031993024 123807044146176 125526586425984 135572953307328 137455910992152 139365020867043 141217409729232 148772250578944 154637899866171 160679055771648 162910709324032 165076058861568 167368781901312 178287719417856 180763937743104 183274547989536 185710566219264 185820027822724 188289879638976 203359429960992 206183866488228 211826114593848 223158375868416 241018583657472 244366063986048 247614088292352 251053172851968 271145906614656 274911821984304 278730041734086 282434819458464 309275799732342 321358111543296 325821418648064 334737563802624 356575438835712 361527875486208 366549095979072 371421132438528 371640055645448 376579759277952 406718859921984 412367732976456 418095062601129 423652229187696 446316751736832 463913699598513 482037167314944 488732127972096 495228176584704 502106345703936 542291813229312 549823643968608 557460083468172 564869638916928 618551599464684 651642837296128 669475127605248 723055750972416 733098191958144 742842264877056 743280111290896 753159518555904 813437719843968 824735465952912 836190125202258 847304458375392 927827399197026 964074334629888 977464255944192 1004212691407872 1084583626458624 1099647287937216 1114920166936344 1129739277833856 1237103198929368 1254285187803387 1303285674592256 1338950255210496 1446111501944832 1466196383916288 1485684529754112 1486560222581792 1506319037111808 1626875439687936 1649470931905824 1672380250404516 1694608916750784 1855654798394052 1954928511888384 2008425382815744 2169167252917248 2199294575874432 2229840333872688 2259478555667712 2474206397858736 2508570375606774 2606571349184512 2892223003889664 2932392767832576 2973120445163584 3012638074223616 3253750879375872 3298941863811648 3344760500809032 3389217833501568 3711309596788104 3762855563410161 3909857023776768 4016850765631488 4338334505834496 4398589151748864 4459680667745376 4518957111335424 4948412795717472 5017140751213548 5864785535665152 5946240890327168 6025276148447232 6507501758751744 6597883727623296 6689521001618064 6778435667003136 7422619193576208 7525711126820322 7819714047553536 8676669011668992 8797178303497728 8919361335490752 9037914222670848 9896825591434944 10034281502427096 11288566690230483 11729571071330304 11892481780654336 12050552296894464 13015003517503488 13195767455246592 13379042003236128 13556871334006272 14845238387152416 15051422253640644 17594356606995456 17838722670981504 18075828445341696 19793651182869888 20068563004854192 22577133380460966 23459142142660608 23784963561308672 26030007035006976 26391534910493184 26758084006472256 27113742668012544 29690476774304832 30102844507281288 33865700070691449 35188713213990912 35677445341963008 36151656890683392 39587302365739776 40137126009708384 45154266760921932 47569927122617344 52783069820986368 53516168012944512 54227485336025088 59380953548609664 60205689014562576 67731400141382898 70377426427981824 71354890683926016 79174604731479552 80274252019416768 90308533521843864 95139854245234688 105566139641972736 107032336025889024 108454970672050176 118761907097219328 120411378029125152 135462800282765796 142709781367852032 158349209462959104 160548504038833536 180617067043687728 190279708490469376 211132279283945472 214064672051778048 237523814194438656 240822756058250304 270925600565531592 285419562735704064 316698418925918208 321097008077667072 361234134087375456 428129344103556096 475047628388877312 481645512116500608 541851201131063184 570839125471408128 633396837851836416 642194016155334144 722468268174750912 856258688207112192 950095256777754624 963291024233001216 1083702402262126368 1284388032310668288 1444936536349501824 1712517376414224384 1900190513555509248 1926582048466002432 2167404804524252736 2568776064621336576 2889873072699003648 3853164096932004864 4334809609048505472 5137552129242673152 5779746145398007296 7706328193864009728 8669619218097010944 11559492290796014592 15412656387728019456 17339238436194021888 23118984581592029184 34678476872388043776 46237969163184058368 69356953744776087552 138713907489552175104
- Sum of all divisors σ(n): 422007015946704244503
- Sum of proper divisors (its aliquot sum) s(n): 283293108457152069399
- 138713907489552175104 is an abundant number, because the sum of its proper divisors (283293108457152069399) is greater than itself. Its abundance is 144579200967599894295
Bases of 138713907489552175104
- Binary: 11110000101000010101100101111101100100010010010011110010000000000002
- Hexadecimal: 0x7850ACBEC89279000
- Base-36: T9VSODCSHS000
Squares and roots of 138713907489552175104
- 138713907489552175104 squared (1387139074895521751042) is 19241548131020039017709274805057477410816
- 138713907489552175104 cubed (1387139074895521751043) is 2669070327402079247348061773676709107548885064316318975524864
-
138713907489552175104 is a
perfect square number . Itssquare root is 11777686848 -
The
cube root of 138713907489552175104 is 5176545.0977166335
Scales and comparisons
How big is 138713907489552175104?- 138,713,907,489,552,175,104 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,713,907,489,552,175,104 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 138713907489552175104 cubic inches would be around 431378.8 feet tall.
Recreational maths with 138713907489552175104
- 138713907489552175104 backwards is 401571255984709317831
- The number of decimal digits it has is: 21
- The sum of 138713907489552175104's digits is 90
- More coming soon!
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"Number 138713907489552175104 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138713907489552175104 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138713907489552175104/
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Numbermatics. 2024. "Number 138713907489552175104 - Facts about the integer". https://numbermatics.com/n/138713907489552175104/
The information we have on file for 138713907489552175104 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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