138742869406293750
138,742,869,406,293,750 is an even composite number composed of six prime numbers multiplied together.
What does the number 138742869406293750 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138742869406293750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138742869406293750:
2 × 3 × 55 × 13 × 173 × 415
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 17 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138742869406293750 from the Numbermatics database.
Names of 138742869406293750
- Cardinal: 138742869406293750 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, eight hundred sixty-nine billion, four hundred six million, two hundred ninety-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3874286940629375 × 1017
Factors of 138742869406293750
Divisors of 138742869406293750
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 5 6 10 13 15 17 25 26 30 34 39 41 50 51 65 75 78 82 85 102 123 125 130 150 170 195 205 221 246 250 255 289 325 375 390 410 425 442 510 533 578 615 625 650 663 697 750 850 867 975 1025 1066 1105 1230 1250 1275 1326 1394 1445 1599 1625 1681 1734 1875 1950 2050 2091 2125 2210 2550 2665 2890 3075 3125 3198 3250 3315 3362 3485 3750 3757 4182 4250 4335 4875 4913 5043 5125 5330 5525 6150 6250 6375 6630 6970 7225 7514 7995 8125 8405 8670 9061 9375 9750 9826 10086 10250 10455 10625 11050 11271 11849 12750 13325 14450 14739 15375 15990 16250 16575 16810 17425 18122 18750 18785 20910 21250 21675 21853 22542 23698 24375 24565 25215 25625 26650 27183 27625 28577 29478 30750 31875 33150 34850 35547 36125 37570 39975 40625 42025 43350 43706 45305 48750 49130 50430 51250 52275 53125 54366 55250 56355 57154 59245 63750 63869 65559 66625 68921 71094 72250 73695 76875 79950 81250 82875 84050 85731 87125 90610 93925 104550 106250 108375 109265 112710 118490 121875 122825 126075 127738 128125 131118 133250 135915 137842 138125 142885 147390 153750 154037 159375 165750 171462 174250 177735 180625 187850 191607 199875 201433 206763 210125 216750 218530 226525 243750 245650 252150 256250 261375 271830 276250 281775 285770 296225 308074 318750 319345 327795 333125 344605 355470 361250 368475 371501 383214 384375 399750 402866 413526 414375 420250 428655 435625 453050 462111 469625 485809 522750 541875 546325 563550 592450 604299 614125 630375 638690 655590 666250 679575 689210 690625 714425 736950 743002 768750 770185 828750 857310 871250 888675 895973 903125 924222 939250 958035 971618 999375 1007165 1033815 1050625 1083750 1092650 1114503 1132625 1171657 1208598 1228250 1260750 1306875 1359150 1381250 1408875 1428850 1457427 1481125 1540370 1596725 1638975 1665625 1723025 1777350 1791946 1806250 1842375 1857505 1916070 1998750 2014330 2067630 2071875 2101250 2143275 2178125 2229006 2265250 2310555 2343314 2348125 2429045 2613750 2618629 2687919 2709375 2731625 2817750 2825761 2914854 2962250 3021495 3070625 3151875 3193450 3277950 3331250 3397875 3446050 3514971 3572125 3684750 3715010 3850925 4143750 4286550 4356250 4443375 4479865 4621110 4696250 4790175 4858090 4996875 5035825 5169075 5237258 5253125 5375838 5418750 5463250 5572515 5651522 5663125 5858285 6042990 6141250 6303750 6315517 6534375 6795750 7029942 7044375 7144250 7287135 7405625 7701850 7855887 7983625 8194875 8258753 8477283 8615125 8886750 8959730 9211875 9287525 9580350 9993750 10071650 10338150 10506250 10716375 11145030 11326250 11552775 11716570 11740625 12145225 12631034 13068750 13093145 13439595 13658125 14088750 14128805 14574270 14811250 15107475 15231541 15353125 15711774 15759375 15967250 16389750 16517506 16954566 16989375 17230250 17574855 17860625 18423750 18575050 18946551 19254625 19918169 21432750 22216875 22399325 23105550 23481250 23950875 24290450 24776259 25179125 25845375 26186290 26879190 27316250 27862575 28257610 28315625 29291425 30214950 30463082 30706250 31518750 31577585 33978750 35149710 35221875 35721250 36435675 36734893 37028125 37893102 38509250 39279435 39836338 39918125 40974375 41293765 42386415 43075625 44433750 44798650 45694623 46059375 46437625 47901750 48037937 49552518 50358250 51690750 53581875 55725150 56631250 57763875 58582850 59754507 60726125 63155170 65465725 67197975 68290625 70443750 70644025 72871350 73469786 74056250 75537375 76157705 78558870 79836250 81948750 82587530 84772830 84946875 86151250 87874275 89303125 91389246 92118750 92875250 94732755 96075874 96273125 99590845 107163750 107363789 110204679 111084375 111996625 115527750 115856201 119509014 119754375 121452250 123881295 125895625 129226875 130931450 134395950 136581250 139312875 141288050 144113811 146457125 151074750 152315410 157887925 169893750 175748550 178606250 182178375 183674465 189465510 192546250 196397175 199181690 199590625 204871875 206468825 211932075 214727578 215378125 220409358 222168750 223993250 228473115 231712402 232188125 239508750 240189685 247762590 251791250 258453750 258936197 267909375 278625750 288227622 288819375 292914250 298772535 303630625 315775850 322091367 327328625 335989875 338608873 347568603 353220125 364356750 367348930 377686875 380788525 392794350 399181250 409743750 412937650 423864150 430756250 439371375 456946230 464376250 473663775 480379370 481365625 497954225 517872394 535818750 536818945 551023395 559983125 577638750 579281005 597545070 598771875 607261250 619406475 624493181 629478125 644182734 646134375 654657250 671979750 677217746 695137206 696564375 706440250 720569055 732285625 755373750 761577050 776808591 789439625 816644929 878742750 910891875 918372325 947327550 962731250 981985875 995908450 1015826619 1032344125 1059660375 1073637890 1102046790 1119966250 1142365575 1158562010 1160940625 1197543750 1200948425 1238812950 1248986362 1258956250 1292268750 1294680985 1393128750 1441138110 1444096875 1464571250 1493862675 1506130613 1518153125 1553617182 1578879250 1610456835 1633289858 1636643125 1679949375 1693044365 1737843015 1766100625 1821783750 1836744650 1873479543 1888434375 1903942625 1963971750 1969555417 2031653238 2064688250 2119320750 2196856875 2284731150 2321881250 2368318875 2401896850 2449934787 2489771125 2589361970 2684094725 2755116975 2799915625 2888193750 2896405025 2987725350 3012261226 3036306250 3097032375 3122465905 3220913670 3273286250 3359898750 3386088730 3475686030 3482821875 3532201250 3602845275 3661428125 3746959086 3776868750 3807885250 3884042955 3939110834 3947198125 4083224645 4393713750 4401915349 4518391839 4554459375 4591861625 4736637750 4899869574 4909929375 4979542250 5079133095 5161720625 5298301875 5368189450 5510233950 5599831250 5711827875 5792810050 5908666251 6004742125 6194064750 6244931810 6473404925 6965643750 7205690550 7322856250 7469313375 7530653065 7768085910 7894396250 8052284175 8166449290 8183215625 8399746875 8465221825 8689215075 8803830698 8830503125 9036783678 9108918750 9183723250 9367397715 9519713125 9819858750 9847777085 10158266190 10323441250 10596603750 10616384077 10984284375 11423655750 11817332502 11841594375 12009484250 12249673935 12448855625 12946809850 13205746047 13420473625 13775584875 13882963793 14482025125 14938626750 15061306130 15485161875 15612329525 16104568350 16366431250 16799493750 16930443650 17378430150 17661006250 18014226375 18734795430 19039426250 19420214775 19695554170 19735990625 20416123225 21232768154 21968568750 22009576745 22591959195 22959308125 23683188750 24499347870 24549646875 24897711250 25395665475 25604220421 25808603125 26411492094 26491509375 26840947250 27551169750 27765927586 28559139375 28964050250 29543331255 30023710625 30970323750 31224659050 31849152231 32367024625 33482442089 36028452750 37346566875 37653265325 38840429550 39471981250 40261420875 40832246450 41648891379 42326109125 43446075375 44019153490 45183918390 45918616250 46836988575 47598565625 49099293750 49238885425 50791330950 51208440842 51617206250 52983018750 53081920385 57118278750 59086662510 59207971875 60047421250 61248369675 62244278125 63698304462 64734049250 66028730235 66964884178 67102368125 68877924375 69414818965 72410125625 74693133750 75306530650 76812661263 77425809375 78061647625 80522841750 83297782758 84652218250 86892150750 90071131875 93673977150 95197131250 97101073875 98477770850 100447326267 102080616125 106163840770 110047883725 112959795975 114796540625 118415943750 122496739350 124488556250 126978327375 128021102105 132057460470 134204736250 137755848750 138829637930 142795696875 144820251250 147716656275 150118553125 153625322526 154851618750 156123295250 159245761155 161835123125 167412210445 180142263750 180478529309 186732834375 188266326625 194202147750 200894652534 201307104375 204161232250 208244456895 211630545625 217230376875 220095767450 225919591950 229593081250 234184942875 246194427125 253956654750 256042204210 265409601925 285591393750 295433312550 300237106250 306241848375 318491522310 323670246250 330143651175 334824420890 335511840625 344389621875 347074094825 360957058618 362050628125 373465668750 376532653250 384063306315 390308238125 402614208750 416488913790 423261091250 434460753750 435271747157 450355659375 468369885750 485505369375 492388854250 502236631335 510403080625 530819203850 541435587927 550239418625 564798979875 569201515513 612483696750 634891636875 640105510525 660287302350 671023681250 688779243750 694148189650 724101256250 738583281375 768126612630 780616476250 796228805775 809175615625 837061052225 870543494314 900711318750 902392646545 941331633125 971010738750 1004473262670 1006535521875 1020806161250 1041222284475 1058152728125 1082871175854 1086151884375 1100478837250 1129597959750 1138403031026 1170924714375 1230972135625 1269783273750 1280211021050 1305815241471 1327048009625 1477166562750 1531209241875 1592457611550 1618351231250 1650718255875 1674122104450 1707604546539 1735370474125 1804785293090 1882663266250 1920316531575 1951541190625 2013071043750 2082444568950 2116305456250 2172303768750 2176358735785 2341849428750 2427526846875 2461944271250 2511183156675 2552015403125 2611630482942 2654096019250 2707177939635 2751197093125 2823994899375 2846007577565 3062418483750 3174458184375 3200527552625 3301436511750 3415209093078 3470740948250 3692916406875 3840633063150 3903082381250 3981144028875 4185305261125 4352717471570 4511963232725 4706658165625 4855053693750 5022366313350 5104030806250 5206111422375 5414355879270 5502394186250 5647989798750 5692015155130 5854623571875 6154860678125 6348916368750 6401055105250 6529076207355 6635240048125 7385832813750 7399619701669 7656046209375 7962288057750 8253591279375 8370610522250 8538022732695 8676852370625 9023926465450 9413316331250 9601582657875 10412222844750 10881793678925 11709247143750 12309721356250 12555915783375 13058152414710 13270480096250 13535889698175 13755985465625 14119974496875 14230037887825 14799239403338 15312092418750 16002637763125 16507182558750 17076045465390 17353704741250 18464582034375 19203165315750 19905720144375 20926526305625 21763587357850 22198859105007 22559816163625 25111831566750 26030557111875 27071779396350 27511970931250 28239948993750 28460075775650 32005275526250 32645381036775 33176200240625 36929164068750 36998098508345 39811440288750 41267956396875 41853052611250 42690113663475 43384261853125 44397718210014 45119632327250 48007913289375 52061114223750 54408968394625 62779578916875 65290762073550 66352400481250 67679448490875 71150189439125 73996197016690 80013188815625 82535912793750 85380227326950 86768523706250 96015826578750 99528600721875 104632631528125 108817936789250 110994295525035 112799080818125 125559157833750 130152785559375 135358896981750 142300378878250 160026377631250 163226905183875 184990492541725 199057201443750 209265263056250 213450568317375 221988591050070 225598161636250 240039566446875 260305571118750 272044841973125 313897894584375 326453810367750 338397242454375 355750947195625 369980985083450 426901136634750 480079132893750 544089683946250 554971477625175 563995404090625 627795789168750 676794484908750 711501894391250 816134525919375 924952462708625 1067252841586875 1109942955250350 1127990808181250 1360224209865625 1632269051838750 1691986212271875 1778754735978125 1849904925417250 2134505683173750 2720448419731250 2774857388125875 3383972424543750 3557509471956250 4080672629596875 4624762313543125 5336264207934375 5549714776251750 8161345259193750 9249524627086250 10672528415868750 13874286940629375 23123811567715625 27748573881258750 46247623135431250 69371434703146875 138742869406293750
- Sum of all divisors σ(n): 406775860607410560
- Sum of proper divisors (its aliquot sum) s(n): 268032991201116810
- 138742869406293750 is an abundant number, because the sum of its proper divisors (268032991201116810) is greater than itself. Its abundance is 129290121794823060
Bases of 138742869406293750
- Binary: 1111011001110100111100111100101100001010010011110111101102
- Hexadecimal: 0x1ECE9E796149EF6
- Base-36: 11Y48QAPRWMU
Squares and roots of 138742869406293750
- 138742869406293750 squared (1387428694062937502) is 19249583811091882228612111289062500
- 138742869406293750 cubed (1387428694062937503) is 2670742492827827355555570633612991561363037109375000
-
The
square root of 138742869406293750 is 372482039.0385202855 -
The
cube root of 138742869406293750 is 517690.5340939517
Scales and comparisons
How big is 138742869406293750?- 138,742,869,406,293,750 seconds is equal to 4,411,594,087 years, 12 weeks, 6 days, 42 minutes, 30 seconds.
-
To count from 1 to 138,742,869,406,293,750 would take you about thirteen billion, two hundred thirty-four million, seven hundred eighty-two thousand, two hundred sixty-one 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 138742869406293750 cubic inches would be around 43140.9 feet tall.
Recreational maths with 138742869406293750
- 138742869406293750 backwards is 057392604968247831
- The number of decimal digits it has is: 18
- The sum of 138742869406293750's digits is 84
- More coming soon!
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"Number 138742869406293750 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138742869406293750 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138742869406293750/
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The information we have on file for 138742869406293750 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 138742869406293750, math, Factors of 138742869406293750, curriculum, school, college, exams, university, Prime factorization of 138742869406293750, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty-two trillion, eight hundred sixty-nine billion, four hundred six million, two hundred ninety-three thousand, seven hundred fifty.