138424350435074560
138,424,350,435,074,560 is an even composite number composed of seven prime numbers multiplied together.
138424350435074560 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138424350435074560:
29 × 5 × 41 × 97 × 1492 × 757 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 41 × 97 × 149 × 149 × 757 × 809)See below for interesting mathematical facts about the number 138424350435074560 from the Numbermatics database.
Names of 138424350435074560
- Cardinal: 138424350435074560 can be written as One hundred thirty-eight quadrillion, four hundred twenty-four trillion, three hundred fifty billion, four hundred thirty-five million, seventy-four thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3842435043507456 × 1017
Factors of 138424350435074560
Divisors of 138424350435074560
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 41 64 80 82 97 128 149 160 164 194 205 256 298 320 328 388 410 485 512 596 640 656 745 757 776 809 820 970 1192 1280 1312 1490 1514 1552 1618 1640 1940 2384 2560 2624 2980 3028 3104 3236 3280 3785 3880 3977 4045 4768 5248 5960 6056 6109 6208 6472 6560 7570 7760 7954 8090 9536 10496 11920 12112 12218 12416 12944 13120 14453 15140 15520 15908 16180 19072 19885 20992 22201 23840 24224 24436 24832 25888 26240 28906 30280 30545 31037 31040 31816 32360 33169 38144 39770 44402 47680 48448 48872 49664 51776 52480 57812 60560 61090 62074 62080 63632 64720 66338 72265 73429 76288 78473 79540 88804 95360 96896 97744 103552 104960 111005 112793 115624 120541 121120 122180 124148 124160 127264 129440 132676 144530 146858 155185 156946 159080 165845 177608 190720 193792 195488 207104 222010 225586 231248 241082 242240 244360 248296 248320 254528 258880 265352 289060 293716 310370 313892 318160 331690 355216 367145 381440 387584 390976 392365 414208 444020 451172 462496 482164 484480 488720 496592 509056 517760 530704 563965 578120 587432 592573 602705 612413 620740 627784 636320 663380 710432 734290 781952 784730 888040 902344 910241 924992 964328 968960 977440 993184 1018112 1035520 1061408 1127930 1156240 1174864 1185146 1205410 1224826 1241480 1255568 1272640 1326760 1420864 1468580 1563904 1569460 1776080 1804688 1820482 1849984 1928656 1937920 1954880 1986368 2036224 2071040 2122816 2153497 2255860 2312480 2349728 2370292 2410820 2449652 2482960 2511136 2545280 2653520 2841728 2937160 2962865 3010589 3062065 3127808 3138920 3217393 3552160 3609376 3640964 3699968 3857312 3909760 3972736 4245632 4306994 4511720 4551205 4624513 4624960 4699456 4740584 4821640 4899304 4942181 4965920 5022272 5090560 5307040 5683456 5874320 5925730 6021178 6124130 6277840 6434786 7104320 7218752 7281928 7399936 7714624 7819520 7945472 8491264 8613988 9023440 9102410 9249026 9249920 9398912 9481168 9643280 9798608 9884362 9931840 10044544 10181120 10614080 10767485 10940921 11366912 11692477 11748640 11851460 12042356 12248260 12555680 12869572 14208640 14437504 14563856 15052945 15429248 15639040 15890944 16086965 16806157 16982528 17227976 17960609 18046880 18204820 18498052 18499840 18797824 18962336 19286560 19597216 19768724 19863680 20089088 21228160 21534970 21881842 23122565 23384954 23497280 23702920 24084712 24496520 24710905 25108933 25111360 25739144 28417280 28875008 29127712 30105890 30858496 32173930 33612314 34455952 35921218 36093760 36409640 36996104 36999680 37595648 37924672 38573120 39194432 39537448 39727360 40178176 42456320 43069940 43763684 46245130 46769908 46994560 47405840 48169424 48993040 49421810 50217866 50222720 51478288 54704605 56834560 57750016 58255424 58462385 59404061 60211780 61716992 64347860 67224628 68911904 71842436 72187520 72819280 73992208 75849344 77146240 78388864 79074896 79454720 84030785 84912640 86139880 87527368 88293377 89803045 91249537 92490260 93539816 93989120 94811680 96338848 97986080 98843620 100435732 100445440 102956576 109409210 116510848 116924770 118808122 120423560 125544665 128695720 134449256 137823808 143684872 144375040 145638560 147984416 151698688 154292480 156777728 158149792 168061570 172279760 175054736 176586754 179606090 182499074 184980520 187079632 187978240 189623360 192677696 195972160 197687240 200871464 200890880 205913152 218818420 233021696 233849540 237616244 240847120 251089330 257391440 268898512 275647616 287369744 288750080 291277120 295968832 297020305 303397376 308584960 313555456 316299584 336123140 344559520 350109472 353173508 359212180 364998148 369961040 374159264 379246720 385355392 391944320 395374480 401742928 411826304 437636840 441466885 448577761 456247685 466043392 467699080 475232488 479391557 481694240 502178660 514782880 537797024 551295232 574739488 582554240 591937664 594040610 632599168 672246280 689052437 689119040 700218944 706347016 718424360 729996296 736384969 739922080 748318528 758493440 770710784 783888640 790748960 803485856 823652608 875273680 882933770 897155522 912495370 935398160 950464976 958783114 963388480 1004357320 1029565760 1075594048 1102590464 1149478976 1165108480 1183875328 1188081220 1265198336 1344492560 1378104874 1378238080 1400437888 1412694032 1436848720 1459992592 1472769938 1479844160 1496637056 1516986880 1541421568 1567777280 1581497920 1606971712 1630197229 1647305216 1742179073 1750547360 1765867540 1794311044 1824990740 1870796320 1900929952 1917566228 1926776960 2008714640 2059131520 2151188096 2242888805 2298957952 2330216960 2367750656 2376162440 2396957785 2435566501 2530396672 2688985120 2756209748 2756476160 2800875776 2825388064 2873697440 2919985184 2945539876 2959688320 2993274112 3162995840 3213943424 3260394458 3445262185 3484358146 3501094720 3531735080 3588622088 3649981480 3681924845 3741231017 3741592640 3801859904 3835132456 3853553920 4017429280 4118263040 4302376192 4485777610 4597915904 4752324880 4793915570 4871133002 5377970240 5512419496 5512952320 5601751552 5650776128 5747394880 5839970368 5891079752 5919376640 5986548224 6325991680 6427886848 6520788916 6890524370 6968716292 7002189440 7063470160 7177244176 7299962960 7363849690 7482462034 7483185280 7603719808 7670264912 7707107840 8034858560 8150986145 8236526080 8604752384 8710895365 8851205089 8971555220 9195831808 9504649760 9587831140 9742266004 10755940480 11024838992 11301552256 11494789760 11679940736 11782159504 11838753280 12177832505 12651983360 12855773696 13041577832 13596181013 13781048740 13937432584 14004378880 14126940320 14354488352 14599925920 14727699380 14964924068 14966370560 15207439616 15340529824 16069717120 16301972290 17421790730 17702410178 17943110440 18706155085 19009299520 19175662280 19484532008 21511880960 22049677984 22603104512 22989579520 23359881472 23564319008 24355665010 26083155664 27192362026 27562097480 27874865168 28008757760 28253880640 28708976704 29199851840 29455398760 29929848136 29932741120 30414879232 30681059648 32139434240 32603944580 34843581460 35404820356 35886220880 37412310170 38018599040 38351324560 38969064016 43023761920 44099355968 44256025445 45206209024 45979159040 46719762944 47128638016 48711330020 52166311328 54384724052 55124194960 55749730336 56507761280 57417953408 58399703680 58910797520 59859696272 61362119296 64278868480 65207889160 66838086389 67980905065 69687162920 70809640712 71429341993 71772441760 74824620340 76037198080 76702649120 77938128032 88198711936 88512050890 94257276032 97422660040 104332622656 108769448104 110248389920 111499460672 113015522560 114835906816 116799407360 117821595040 119719392544 122724238592 130415778320 133676172778 135961810130 139374325840 141619281424 142858683986 143544883520 149649240680 152074396160 153405298240 155876256064 176397423872 177024101780 188514552064 194845320080 208665245312 217538896208 220496779840 222998921344 226031045120 229671813632 233598814720 235643190080 239438785088 245448477184 260831556640 267352345556 271923620260 278748651680 283238562848 285717367972 287089767040 299298481360 306810596480 311752512128 334190431945 352794847744 354048203560 357146709965 362899408649 377029104128 389690640160 417330490624 435077792416 440993559680 445997842688 471286380160 478877570176 521663113280 534704691112 543847240520 557443421533 557497303360 566477125696 571434735944 574179534080 598596962720 613621192960 623505024256 668380863890 708096407120 714293419930 725798817298 779381280320 834660981248 870155584832 881987119360 891995685376 942572760320 957755140352 1043326226560 1069409382224 1087694481040 1114886843066 1114994606720 1132954251392 1142869471888 1148359068160 1197193925440 1227242385920 1247010048512 1318829558261 1336761727780 1416192814240 1428586839860 1451597634596 1558762560640 1740311169664 1763974238720 1814497043245 1885145520640 1915510280704 2086652453120 2138818764448 2175388962080 2229773686132 2229989213440 2265908502784 2285738943776 2394387850880 2637659116522 2673523455560 2787217107665 2832385628480 2857173679720 2903195269192 3117525121280 3480622339328 3628994086490 4173304906240 4277637528896 4350777924160 4459547372264 4459978426880 4531817005568 4571477887552 4788775701760 5275318233044 5347046911120 5574434215330 5664771256960 5714347359440 5806390538384 6235050242560 6594147791305 6961244678656 7257988172980 8555275057792 8701555848320 8919094744528 9142955775104 9577551403520 10550636466088 10694093822240 11148868430660 11329542513920 11428694718880 11612781076768 13188295582610 14515976345960 17110550115584 17403111696640 17838189489056 18285911550208 21101272932176 21388187644480 22297736861320 22659085027840 22857389437760 23225562153536 26376591165220 29031952691920 34221100231168 34806223393280 35676378978112 36571823100416 42202545864352 42776375288960 44595473722640 45714778875520 46451124307072 52753182330440 54072011888701 58063905383840 71352757956224 84405091728704 85552750577920 89190947445280 91429557751040 92902248614144 105506364660880 108144023777402 116127810767680 142705515912448 168810183457408 171105501155840 178381894890560 182859115502080 185804497228288 211012729321760 216288047554804 232255621535360 270360059443505 285411031824896 337620366914816 356763789781120 422025458643520 432576095109608 464511243070720 540720118887010 675240733829632 713527579562240 844050917287040 865152190219216 929022486141440 1081440237774020 1427055159124480 1688101834574080 1730304380438432 2162880475548040 3376203669148160 3460608760876864 4325760951096080 6921217521753728 8651521902192160 13842435043507456 17303043804384320 27684870087014912 34606087608768640 69212175217537280 138424350435074560
- Sum of all divisors σ(n): 346699673967255840
- Sum of proper divisors (its aliquot sum) s(n): 208275323532181280
- 138424350435074560 is an abundant number, because the sum of its proper divisors (208275323532181280) is greater than itself. Its abundance is 69850973097106720
Bases of 138424350435074560
- Binary: 1111010111100100000110110100110111111001001100010000000002
- Hexadecimal: 0x1EBC8369BF26200
- Base-36: 11UZC4PA86PS
Squares and roots of 138424350435074560
- 138424350435074560 squared (1384243504350745602) is 19161300793372326528361872759193600
- 138424350435074560 cubed (1384243504350745603) is 2652390615813643119380364681977449915642141474816000
-
The
square root of 138424350435074560 is 372054230.5028590319 -
The
cube root of 138424350435074560 is 517294.0678261421
Scales and comparisons
How big is 138424350435074560?- 138,424,350,435,074,560 seconds is equal to 4,401,466,169 years, 10 weeks, 5 days, 3 hours, 22 minutes, 40 seconds.
-
To count from 1 to 138,424,350,435,074,560 would take you about thirteen billion, two hundred four million, three hundred ninety-eight thousand, five hundred seven 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 138424350435074560 cubic inches would be around 43107.8 feet tall.
Recreational maths with 138424350435074560
- 138424350435074560 backwards is 065470534053424831
- 138424350435074560 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138424350435074560's digits is 64
- More coming soon!
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The information we have on file for 138424350435074560 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 138424350435074560, math, Factors of 138424350435074560, curriculum, school, college, exams, university, Prime factorization of 138424350435074560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred twenty-four trillion, three hundred fifty billion, four hundred thirty-five million, seventy-four thousand, five hundred sixty.