138303753968464724970
138,303,753,968,464,724,970 is an even composite number composed of five prime numbers multiplied together.
138303753968464724970 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138303753968464724970:
2 × 35 × 5 × 119 × 176
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 138303753968464724970 from the Numbermatics database.
Names of 138303753968464724970
- Cardinal: 138303753968464724970 can be written as One hundred thirty-eight quintillion, three hundred three quadrillion, seven hundred fifty-three trillion, nine hundred sixty-eight billion, four hundred sixty-four million, seven hundred twenty-four thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 1.3830375396846472497 × 1020
Factors of 138303753968464724970
Divisors of 138303753968464724970
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 121 135 153 162 165 170 187 198 242 243 255 270 289 297 306 330 363 374 405 459 486 495 510 561 578 594 605 726 765 810 867 891 918 935 990 1089 1122 1210 1215 1331 1377 1445 1485 1530 1683 1734 1782 1815 1870 2057 2178 2295 2430 2601 2662 2673 2754 2805 2890 2970 3179 3267 3366 3630 3993 4114 4131 4335 4455 4590 4913 5049 5202 5346 5445 5610 6171 6358 6534 6655 6885 7803 7986 8262 8415 8670 8910 9537 9801 9826 10098 10285 10890 11979 12342 13005 13310 13365 13770 14641 14739 15147 15606 15895 16335 16830 18513 19074 19602 19965 20570 20655 22627 23409 23958 24565 25245 26010 26730 28611 29282 29403 29478 30294 30855 31790 32670 34969 35937 37026 39015 39930 41310 43923 44217 45254 45441 46818 47685 49005 49130 50490 54043 55539 57222 58806 59895 61710 67881 69938 70227 71874 73205 73695 75735 78030 83521 85833 87846 88434 90882 92565 95370 98010 104907 107811 108086 111078 113135 117045 119790 131769 132651 135762 140454 143055 146410 147015 147390 151470 161051 162129 166617 167042 171666 174845 179685 185130 203643 209814 215622 219615 221085 226270 227205 234090 248897 250563 257499 263538 265302 270215 277695 286110 294030 314721 322102 323433 324258 333234 339405 349690 351135 359370 384659 395307 397953 407286 417605 429165 439230 442170 454410 483153 486387 497794 499851 501126 514998 524535 539055 540430 555390 594473 610929 629442 646866 658845 663255 678810 702270 746691 751689 769318 772497 790614 795906 805255 810645 833085 835210 858330 918731 944163 966306 972774 999702 1018215 1049070 1078110 1153977 1185921 1188946 1193859 1221858 1244485 1252815 1287495 1317690 1326510 1419857 1449459 1459161 1493382 1503378 1544994 1573605 1610510 1617165 1621290 1666170 1771561 1783419 1832787 1837462 1888326 1923295 1976535 1989765 2036430 2240073 2255067 2307954 2371842 2387718 2415765 2431935 2488970 2499255 2505630 2574990 2737867 2756193 2832489 2839714 2898918 2918322 2972365 3054645 3147210 3234330 3461931 3543122 3557763 3566838 3665574 3733455 3758445 3846590 3862485 3953070 3979530 4231249 4259571 4348377 4377483 4480146 4510134 4593655 4720815 4831530 4863870 4998510 5314683 5350257 5475734 5498361 5512386 5664978 5769885 5929605 5944730 5969295 6109290 6539203 6720219 6765201 6923862 7099285 7115526 7247295 7295805 7466910 7516890 7724970 8213601 8268579 8462498 8497467 8519142 8696754 8754966 8857805 8917095 9163935 9187310 9441630 10106041 10385793 10629366 10700514 10996722 11200365 11275335 11539770 11859210 11938590 12693747 12778713 13045131 13078406 13132449 13440438 13530402 13689335 13780965 14162445 14198570 14494590 14591610 15618427 15944049 16050771 16427202 16537158 16994934 17309655 17715610 17788815 17834190 18327870 19487171 19617609 20160657 20212082 20295603 20771586 21156245 21297855 21741885 21887415 22400730 22550670 24137569 24640803 24805737 25387494 25557426 26090262 26264898 26573415 26751285 27378670 27491805 27561930 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16726423484430 16838382332970 17903468100001 18399065832873 18522220566267 18956613282354 19083499977366 19436898125095 19481363823042 19974943747935 20443406480970 20580245073630 21149940438990 22638269580993 23169194011766 23264934482889 23324277750114 23969932497522 24413820136365 25089635226645 25153632867770 25257573499455 25849927203210 26022954514590 27668996154547 28434919923531 28625249966049 29296584163638 30107562271974 30665109721455 30870367610445 31594355470590 31805833295610 32468939705070 32686271587530 34753791017649 34986416625171 35806936200002 35954898746283 36798131665746 37044441132534 37730449301655 38774890804815 38873796250190 39034431771885 39949887495870 42761175875209 43944876245457 45276539161986 46529868965778 47391533205885 47708749943415 48703409557605 48827640272730 50179270453290 50515146998910 53710404300003 55197197498619 55337992309094 55566661698801 56869839847062 57250499932098 57922985029415 58310694375285 59924831243805 61330219442910 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275985987493095 276689961545470 277833308494005 284349199235310 286252499660490 304358957700017 312784119158841 314877749626539 322262425800018 331183184991714 339574043714895 347537910176490 349864166251710 359548987462830 384850582876881 393876298200022 395503886209113 407488852457874 415034942318205 426523798852965 427611758752090 429378749490735 439448762454570 470372934627299 483393638700027 498041930781846 511828558623558 521306865264735 524796249377565 537104043000030 551971974986190 555666616988010 590814447300033 608717915400034 611233278686811 625568238317682 629755499253078 641417638128135 659173143681855 679148087429790 747062896172769 769701165753762 791007772418226 805656064500045 827957962479285 830069884636410 853047597705930 858757498981470 913076873100051 938352357476523 940745869254598 944633248879617 966787277400054 984690745500055 1018722131144685 1042613730529470 1049592498755130 1154551748630643 1181628894600066 1222466557373622 1245104826954615 1279571396558895 1282835276256270 1318346287363710 1411118803881897 1450180916100081 1494125792345538 1521794788500085 1563920595794205 1574388748132695 1611312129000090 1655915924958570 1772443341900099 1826153746200102 1876704714953046 1889266497759234 1924252914384405 1969381491000110 1977519431045565 2037444262289370 2241188688518307 2309103497261286 2351864673136495 2416968193500135 2490209653909230 2559142793117790 2739230619300153 2815057072429569 2822237607763794 2900361832200162 2954072236500165 3043589577000170 3056166393434055 3127841191588410 3148777496265390 3347948534700187 3463655245891929 3544886683800198 3735314480863845 3848505828768810 3955038862091130 4233356411645691 4350542748300243 4482377377036614 4565384365500255 4691761787382615 4703729346272990 4723166244398085 4833936387000270 5174102280900289 5317330025700297 5478461238600306 5630114144859138 5772758743153215 5908144473000330 6112332786868110 6695897069400374 6723566065554921 6927310491783858 7055594019409485 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60263073624603366 63500346174685365 67235660655549210 73959226721104131 76200415409622438 77611534213504335 79759950385504455 82176918579004590 90394610436905049 93133841056205202 95711940462605346 100438456041005610 103909657376757870 113830250179806358 114300623114433657 123265377868506885 127000692349370730 139700761584307803 147918453442208262 150657684061508415 155223068427008670 159519900771008910 170745375269709537 180789220873810098 190501038524056095 228601246228867314 232834602640513005 239279851156513365 246530755737013770 271183831310715147 279401523168615606 284575625449515895 301315368123016830 341490750539419074 369796133605520655 381002077048112190 419102284752923409 451973052184525245 465669205281026010 478559702313026730 512236125809128611 542367662621430294 569151250899031790 571503115572168285 698503807921539015 739592267211041310 813551493932145441 838204569505846818 853726876348547685 903946104369050490 1024472251618257222 1143006231144336570 1257306854258770227 1355919156553575735 1397007615843078030 1536708377427385833 1627102987864290882 1707453752697095370 2095511423764617045 2514613708517540454 2561180629045643055 2711838313107151470 3073416754854771666 4067757469660727205 4191022847529234090 4610125132282157499 5122361258091286110 6286534271293851135 7683541887136929165 8135514939321454410 9220250264564314998 12573068542587702270 13830375396846472497 15367083774273858330 23050625661410787495 27660750793692944994 46101251322821574990 69151876984232362485 138303753968464724970
- Sum of all divisors σ(n): 435836106565756172640
- Sum of proper divisors (its aliquot sum) s(n): 297532352597291447670
- 138303753968464724970 is an abundant number, because the sum of its proper divisors (297532352597291447670) is greater than itself. Its abundance is 159228598628826722700
Bases of 138303753968464724970
- Binary: 11101111111010110011010001101111000001110010101110010000011111010102
- Hexadecimal: 0x77F59A378395C83EA
- Base-36: T6RM52YECEKMI
Squares and roots of 138303753968464724970
- 138303753968464724970 squared (1383037539684647249702) is 19127928361769622160851548331217741500900
- 138303753968464724970 cubed (1383037539684647249703) is 2645464298072604346364818598578212565349775365553673507473000
-
The
square root of 138303753968464724970 is 11760261645.4084355957 -
The
cube root of 138303753968464724970 is 5171438.0052177973 - Being both a perfect square and a perfect cube, 138303753968464724970 is also a
perfect sixth number .
Scales and comparisons
How big is 138303753968464724970?- 138,303,753,968,464,724,970 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,303,753,968,464,724,970 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 138303753968464724970 cubic inches would be around 430953.2 feet tall.
Recreational maths with 138303753968464724970
- 138303753968464724970 backwards is 079427464869357303831
- 138303753968464724970 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138303753968464724970's digits is 99
- More coming soon!
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The information we have on file for 138303753968464724970 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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