138147428709801875
138,147,428,709,801,875 is an odd composite number composed of five prime numbers multiplied together.
138147428709801875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138147428709801875:
54 × 72 × 133 × 313 × 413
(5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 31 × 31 × 31 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138147428709801875 from the Numbermatics database.
Names of 138147428709801875
- Cardinal: 138147428709801875 can be written as One hundred thirty-eight quadrillion, one hundred forty-seven trillion, four hundred twenty-eight billion, seven hundred nine million, eight hundred one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38147428709801875 × 1017
Factors of 138147428709801875
Divisors of 138147428709801875
- Number of divisors d(n): 960
-
Complete list of divisors:
1 5 7 13 25 31 35 41 49 65 91 125 155 169 175 205 217 245 287 325 403 455 533 625 637 775 845 875 961 1025 1085 1183 1225 1271 1435 1519 1625 1681 2009 2015 2197 2275 2665 2821 3185 3731 3875 4225 4375 4805 5125 5239 5425 5915 6125 6355 6727 6929 7175 7595 8125 8281 8405 8897 10045 10075 10985 11375 11767 12493 13325 14105 15379 15925 16523 18655 19375 19747 21125 21853 24025 25625 26117 26195 27125 29575 29791 30625 31775 33635 34645 35875 36673 37975 39401 41405 42025 44485 47089 48503 50225 50375 52111 54925 56875 58835 62279 62465 66625 68107 68921 70525 76895 79625 82369 82615 87451 90077 93275 98735 105625 107653 109265 115661 120125 130585 130975 135625 147875 148955 152971 158875 162409 168175 173225 179375 183365 189875 197005 207025 208537 210125 214799 222425 235445 242515 251125 251875 256711 260555 274625 275807 284089 294175 311395 312325 333125 339521 340535 344605 352625 364777 384475 387283 398125 411845 413075 437255 450385 466375 476749 482447 493675 512213 538265 546325 578305 600625 612157 630539 652925 654875 677443 739375 744775 764855 794375 809627 812045 840875 866125 895973 916825 949375 985025 1035125 1042685 1050625 1070797 1073995 1112125 1136863 1177225 1212575 1221431 1255625 1283555 1302775 1373125 1379035 1420445 1459759 1470875 1503593 1556975 1561625 1615441 1697605 1702675 1723025 1763125 1823885 1922375 1930649 1936415 1988623 2059225 2065375 2111317 2136551 2186275 2251925 2331875 2383745 2412235 2468375 2553439 2561065 2691325 2710981 2731625 2792387 2891525 3060785 3152695 3264625 3274375 3337243 3377129 3387215 3585491 3693157 3723875 3824275 4048135 4060225 4204375 4330625 4413773 4479865 4584125 4742101 4925125 5034679 5175625 5213425 5353985 5369975 5560625 5684315 5886125 6062875 6107155 6271811 6417775 6513875 6658769 6895175 7102225 7298795 7354375 7517965 7784875 7808125 7958041 8077205 8488025 8513375 8550017 8615125 8806759 9119425 9611875 9653245 9682075 9943115 10296125 10326875 10525151 10556585 10682755 10931375 11259625 11308087 11647649 11918725 12061175 12341875 12767195 12805325 13456625 13554905 13658125 13920361 13961935 14457625 14779219 14955857 15303925 15763475 15878603 16323125 16686215 16885645 16936075 17927455 18465785 18619375 18976867 19121375 19546709 20240675 20301125 21000733 22068865 22399325 22920625 23710505 24625625 25098437 25173395 25852099 26067125 26769925 26849875 27775163 28421575 29430625 30314375 30535775 31359055 32088875 32569375 33194707 33293845 34475875 35242753 35511125 36493975 37589825 38924375 39790205 40386025 42440125 42566875 42750085 43075625 43902677 44033795 45597125 46611383 48266225 48410375 49715575 50078671 51480625 52625755 52782925 53413775 54656875 56298125 56540435 58238245 59593625 59850119 60305875 61647313 63835975 64026625 65450827 66233081 67283125 67774525 69601805 69809675 72288125 73896095 74779285 76519625 78817375 79156609 79393015 81533543 83431075 84428225 84680375 86563997 89637275 92328925 94884335 95606875 97733545 101203375 101505625 103454533 104690999 105003665 110344325 111150221 111996625 114487867 118552525 125492185 125866975 129260495 130335625 133849625 134249375 136826963 138875815 142107875 147005131 151419437 152678875 156795275 160444375 165973535 166469225 172379375 176213765 177555625 180964693 182469875 187949125 194426141 198951025 201930125 206421839 212200625 213750425 219513385 220168975 227985625 233056915 241331125 242051875 246699271 248577875 250393355 263128775 263914625 267068875 273009529 282702175 291191225 297968125 299250595 301529375 308236565 319179875 320133125 326279681 327254135 331165405 338872625 348009025 349048375 350550697 361077119 369480475 373896425 382598125 394086875 395783045 396965075 407667715 417155375 422141125 423401875 431531191 432819985 448186375 458155789 461644625 463631567 474421675 488667725 506016875 517272665 523454995 525018325 551721625 555751105 559983125 570734801 572439335 592762625 605947979 627460925 629334875 646302475 651022723 669248125 684134815 694379075 710539375 735025655 757097185 763394375 778051547 783976375 801415069 829867675 832346125 861030053 881068825 904823465 912349375 939745625 972130705 994755125 1009650625 1029035917 1032109195 1059936059 1068752125 1097566925 1100844875 1165284575 1206655625 1233496355 1242889375 1251966775 1315643875 1319573125 1335344375 1360982987 1365047645 1413510875 1444952873 1455956125 1496252975 1541182825 1595899375 1631398405 1636270675 1655827025 1694363125 1740045125 1745241875 1752753485 1805385595 1847402375 1869482125 1911066703 1978915225 1984825375 2038338575 2053225511 2085776875 2110705625 2157655955 2164099925 2240931875 2290778945 2308223125 2318157835 2372108375 2443338625 2453854879 2527539833 2586363325 2617274975 2625091625 2683483907 2758608125 2778755525 2853674005 2862196675 2963813125 3029739895 3137304625 3146674375 3207090523 3231512375 3245420969 3255113615 3420674075 3471895375 3549123877 3675128275 3785485925 3890257735 3919881875 4007075345 4149338375 4161730625 4241635853 4305150265 4405344125 4524117325 4557159061 4694002547 4860653525 4973775625 5145179585 5160545975 5299680295 5343760625 5487834625 5504224375 5609905483 5826422875 6027210371 6167481775 6259833875 6578219375 6804914935 6825238225 7067554375 7224764365 7279780625 7419552413 7481264875 7705914125 8156992025 8181353375 8279135125 8463295399 8700225625 8763767425 9026927975 9237011875 9347410625 9555333515 9894576125 9924126875 10114670111 10191692875 10266127555 10788279775 10820499625 11193390689 11453894725 11590789175 11860541875 12216693125 12269274395 12637699165 12931816625 13086374875 13125458125 13377466921 13417419535 13893777625 14268370025 14310983375 14372578577 15148699475 15686523125 16035452615 16157561875 16227104845 16275568075 17103370375 17359476875 17692778831 17745619385 18375641375 18784387349 18927429625 19451288675 20035376725 20746691875 21208179265 21525751325 22026720625 22620586625 22785795305 23470012735 24303267625 24843867139 25725897925 25802729875 26498401475 26691931643 27439173125 28049527415 29132114375 30136051855 30837408875 31299169375 31900113427 32858017829 34024574675 34126191125 36123821825 37097762065 37406324375 38529570625 40784960125 40906766875 41395675625 42190472597 42316476995 43818837125 45134639875 47776667575 49472880625 50573350555 50958464375 51330637775 53941398875 54102498125 55966953445 57269473625 57953945875 59243067793 61346371975 63188495825 64659083125 65431874375 66887334605 67087097675 69468888125 71341850125 71554916875 71862892885 75743497375 78353734823 80177263075 81135524225 81377840375 85516851875 88463894155 88728096925 91878206875 93921936745 94637148125 97256443375 100176883625 100608050039 106040896325 107628756625 110022840187 113102933125 113928976525 117350063675 121516338125 124219335695 128629489625 129013649375 131490711443 132492007375 133459658215 140247637075 145514078957 150680259275 154187044375 159500567135 164290089145 170122873375 170630955625 173907069973 180619109125 185488810325 186843521501 203924800625 210952362985 211582384975 219094185625 225673199375 230006124803 238883337875 252866752775 256653188875 269706994375 279834767225 286347368125 289769729375 296215338965 306731859875 315942479125 334436673025 335435488375 346995111359 356709250625 359314464425 378717486875 391768674115 400886315375 405677621125 406889201875 414701474551 442319470775 443640484625 469609683725 486282216875 500884418125 503040250195 530204481625 538143783125 548476143761 550114200935 569644882625 586750318375 621096678475 643147448125 657453557215 662460036875 667298291075 701238185375 727570394785 753401296375 770159881309 797502835675 821450445725 850614366875 869535349865 903095545625 927444051625 934217607505 1018598552699 1054761814925 1057911924875 1150030624015 1194416689375 1264333763875 1283265944375 1307904650507 1399173836125 1481076694825 1533659299375 1579712395625 1672183365125 1677177441875 1734975556795 1796572322125 1958843370575 2004431576875 2028388105625 2073507372755 2211597353875 2218202423125 2348048418625 2428965779513 2515201250975 2651022408125 2742380718805 2750571004675 2848224413125 2933751591875 3105483392375 3287267786075 3336491455375 3506190926875 3637851973925 3767006481875 3850799406545 3987514178375 4107252228625 4347676749325 4510936447667 4637220258125 4671088037525 5092992763495 5273809074625 5289559624375 5391119169163 5750153120075 6321668819375 6539523252535 6995869180625 7130189868893 7405383474125 8360916825625 8674877783975 8982861610625 9794216852875 10367536863775 11057986769375 11740242093125 12144828897565 12576006254875 13711903594025 13752855023375 15527416961875 16436338930375 16682457276875 17002760456591 18189259869625 19253997032725 19937570891875 20536261143125 21738383746625 22554682238335 23355440187625 25464963817475 26369045373125 26955595845815 28750765600375 31576555133669 32697616262675 35650949344465 37026917370625 43374388919875 48971084264375 51837684318875 60724144487825 62880031274375 68559517970125 68764275116875 82181694651875 85013802282955 90946299348125 96269985163625 108691918733125 112773411191675 116777200938125 127324819087375 134777979229075 143753828001875 157882775668345 163488081313375 178254746722325 216871944599375 221035885935683 259188421594375 303620722439125 342797589850625 425069011414775 481349925818125 563867055958375 636624095436875 673889896145375 789413878341725 817440406566875 891273733611625 1105179429678415 1518103612195625 2125345057073875 2819335279791875 3369449480726875 3947069391708625 4456368668058125 5525897148392075 10626725285369375 19735346958543125 27629485741960375 138147428709801875
- Sum of all divisors σ(n): 230410984095452160
- Sum of proper divisors (its aliquot sum) s(n): 92263555385650285
- 138147428709801875 is a deficient number, because the sum of its proper divisors (92263555385650285) is less than itself. Its deficiency is 45883873324151590
Bases of 138147428709801875
- Binary: 1111010101100110001011010101111101110000110011111100100112
- Hexadecimal: 0x1EACC5ABEE19F93
- Base-36: 11S96CM8WNMB
Squares and roots of 138147428709801875
- 138147428709801875 squared (1381474287098018752) is 19084712059129791345473701753515625
- 138147428709801875 cubed (1381474287098018753) is 2636503898635728995959288104263279819398678466796875
-
The
square root of 138147428709801875 is 371681891.8239115331 -
The
cube root of 138147428709801875 is 516948.8838640205
Scales and comparisons
How big is 138147428709801875?- 138,147,428,709,801,875 seconds is equal to 4,392,660,914 years, 47 weeks, 5 days, 2 hours, 44 minutes, 35 seconds.
-
To count from 1 to 138,147,428,709,801,875 would take you about thirteen billion, one hundred seventy-seven million, nine hundred eighty-two thousand, seven hundred forty-four 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 138147428709801875 cubic inches would be around 43079.1 feet tall.
Recreational maths with 138147428709801875
- 138147428709801875 backwards is 578108907824741831
- The number of decimal digits it has is: 18
- The sum of 138147428709801875's digits is 83
- More coming soon!
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The information we have on file for 138147428709801875 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 138147428709801875, math, Factors of 138147428709801875, curriculum, school, college, exams, university, Prime factorization of 138147428709801875, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-seven trillion, four hundred twenty-eight billion, seven hundred nine million, eight hundred one thousand, eight hundred seventy-five.