42292718309157120
42,292,718,309,157,120 is an even composite number composed of seven prime numbers multiplied together.
42292718309157120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42292718309157120:
28 × 32 × 5 × 72 × 3167 × 5009 × 4723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 3167 × 5009 × 4723)See below for interesting mathematical facts about the number 42292718309157120 from the Numbermatics database.
Names of 42292718309157120
- Cardinal: 42292718309157120 can be written as Forty-two quadrillion, two hundred ninety-two trillion, seven hundred eighteen billion, three hundred nine million, one hundred fifty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.229271830915712 × 1016
Factors of 42292718309157120
Divisors of 42292718309157120
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 128 140 144 147 160 168 180 192 196 210 224 240 245 252 256 280 288 294 315 320 336 360 384 392 420 441 448 480 490 504 560 576 588 630 640 672 720 735 768 784 840 882 896 960 980 1008 1120 1152 1176 1260 1280 1344 1440 1470 1568 1680 1764 1792 1920 1960 2016 2205 2240 2304 2352 2520 2688 2880 2940 3136 3167 3360 3528 3840 3920 4032 4410 4480 4704 4723 5009 5040 5376 5760 5880 6272 6334 6720 7056 7840 8064 8820 8960 9408 9446 9501 10018 10080 11520 11760 12544 12668 13440 14112 14169 15027 15680 15835 16128 17640 18816 18892 19002 20036 20160 22169 23520 23615 25045 25336 26880 28224 28338 28503 30054 31360 31670 33061 35063 35280 37632 37784 38004 40072 40320 42507 44338 45081 47040 47230 47505 50090 50672 56448 56676 57006 60108 62720 63340 66122 66507 70126 70560 70845 75135 75568 76008 80144 80640 85014 88676 90162 94080 94460 95010 99183 100180 101344 105189 110845 112896 113352 114012 120216 126680 132244 133014 140252 141120 141690 142515 150270 151136 152016 155183 160288 165305 170028 175315 177352 180324 188160 188920 190020 198366 199521 200360 202688 210378 212535 221690 225405 226704 228024 231427 240432 245441 253360 264488 266028 280504 282240 283380 285030 297549 300540 302272 304032 310366 315567 320576 330610 332535 340056 350630 354704 360648 377840 380040 396732 399042 400720 405376 420756 425070 443380 450810 453408 456048 462854 465549 480864 490882 495915 506720 525945 528976 532056 561008 564480 566760 570060 595098 601080 604544 608064 620732 631134 641152 661220 665070 680112 694281 701260 709408 721296 736323 755680 760080 775915 793464 798084 801440 810752 841512 850140 886760 901620 906816 912096 925708 931098 961728 981764 991830 997605 1013440 1051890 1057952 1064112 1122016 1133520 1140120 1157135 1190196 1202160 1209088 1216128 1227205 1241464 1262268 1282304 1322440 1330140 1360224 1388562 1396647 1402520 1418816 1442592 1472646 1487745 1511360 1520160 1551830 1577835 1586928 1596168 1602880 1683024 1700280 1773520 1803240 1813632 1824192 1851416 1862196 1923456 1963528 1983660 1995210 2026880 2082843 2103780 2115904 2128224 2208969 2244032 2267040 2280240 2314270 2327745 2380392 2404320 2432256 2454410 2482928 2524536 2644880 2660280 2720448 2777124 2793294 2805040 2837632 2885184 2945292 2975490 3022720 3040320 3103660 3155670 3173856 3192336 3205760 3366048 3400560 3471405 3547040 3606480 3627264 3648384 3681615 3702832 3724392 3846912 3927056 3967320 3990420 4053760 4165686 4207560 4231808 4256448 4417938 4488064 4534080 4560480 4628540 4655490 4760784 4808640 4908820 4965856 5049072 5289760 5320560 5440896 5554248 5586588 5610080 5675264 5770368 5890584 5950980 6045440 6080640 6207320 6311340 6347712 6384672 6411520 6732096 6801120 6942810 6983235 7094080 7212960 7296768 7363230 7405664 7448784 7854112 7934640 7980840 8331372 8415120 8463616 8512896 8835876 8976128 9068160 9120960 9257080 9310980 9521568 9617280 9817640 9931712 10098144 10414215 10579520 10641120 10881792 11044845 11108496 11173176 11220160 11540736 11781168 11901960 12161280 12414640 12622680 12695424 12769344 13464192 13602240 13885620 13966470 14188160 14425920 14726460 14811328 14897568 14957741 15708224 15863503 15869280 15961680 16662744 16830240 17025792 17671752 18136320 18241920 18514160 18621960 19043136 19234560 19635280 19863424 20196288 20828430 21159040 21282240 22089690 22216992 22346352 22440320 23562336 23657507 23803920 24829280 25245360 25390848 25538688 26928384 27204480 27771240 27932940 28376320 28851840 29452920 29622656 29795136 29915482 31416448 31727006 31738560 31923360 33325488 33660480 35343504 36483840 37028320 37243920 38086272 39270560 39726848 40392576 41656860 42318080 42564480 44179380 44433984 44692704 44873223 44880640 47124672 47315014 47590509 47607840 49658560 50490720 51077376 54408960 55542480 55865880 57703680 58905840 59245312 59590272 59830964 62832896 63454012 63477120 63846720 66650976 67320960 70687008 70972521 74056640 74487840 74788705 76172544 78541120 79317515 80785152 83313720 85128960 88358760 88867968 89385408 89746446 94249344 94630028 95181018 95215680 99317120 100981440 104704187 111044521 111084960 111731760 117811680 118287535 119180544 119661928 126908024 126954240 127693440 133301952 134619669 134641920 141374016 141945042 142771527 148113280 148975680 149577410 157082240 158635030 165602549 166627440 176717520 177735936 178770816 179492892 188498688 189260056 190362036 190431360 198634240 201962880 209408374 212917563 222089042 222169920 223463520 224366115 235623360 236575070 237952545 239323856 253816048 255386880 266603904 269239338 282748032 283890084 285543054 296226560 297951360 299154820 314112561 314164480 317270060 331205098 333133563 333254880 353435040 354862605 357541632 358985784 378520112 380724072 380862720 403925760 418816748 425835126 444178084 444339840 446927040 448732230 471246720 473150140 475905090 478647712 496807647 507632096 523520935 533207808 538478676 555222605 565496064 567780168 571086108 595902720 598309640 628225122 634540120 662410196 666267126 666509760 673098345 706870080 709725210 713857635 717971568 732929309 757040224 761448144 777311647 828012745 837633496 851670252 888356168 888679680 893854080 897464460 942337683 942493440 946300280 951810180 957295424 993615294 999400689 1015264192 1047041870 1064587815 1076957352 1110445210 1135560336 1142172216 1159217843 1196619280 1256450244 1269080240 1324820392 1332534252 1333019520 1346196690 1413740160 1419450420 1427715270 1435943136 1465858618 1490422941 1514080448 1522896288 1554623294 1570562805 1656025490 1665667815 1675266992 1703340504 1776712336 1787708160 1794928920 1884675366 1892600560 1903620360 1914590848 1987230588 1998801378 2030528384 2094083740 2129175630 2153914704 2198787927 2220890420 2271120672 2284344432 2318435686 2331934941 2393238560 2484038235 2512900488 2538160480 2649640784 2665068504 2666039040 2692393380 2827480320 2838900840 2855430540 2871886272 2931717236 2980845882 3028160896 3045792576 3109246588 3141125610 3312050980 3331335630 3350533984 3406681008 3477653529 3553424672 3589857840 3664646545 3769350732 3785201120 3807240720 3829181696 3886558235 3974461176 3997602756 4061056768 4188167480 4258351260 4307829408 4397575854 4441780840 4542241344 4568688864 4636871372 4663869882 4711688415 4786477120 4968076470 4997003445 5025800976 5076320960 5299281568 5330137008 5384786760 5677801680 5710861080 5743772544 5796089215 5863434472 5961691764 6056321792 6091585152 6218493176 6282251220 6596363781 6624101960 6662671260 6701067968 6813362016 6955307058 6995804823 7106849344 7179715680 7329293090 7452114705 7538701464 7570402240 7614481440 7773116470 7948922352 7995205512 8376334960 8516702520 8615658816 8795151708 8883561680 9084482688 9137377728 9273742744 9327739764 9423376830 9572954240 9936152940 9994006890 10051601952 10152641920 10432960587 10598563136 10660274016 10769573520 10993939635 11355603360 11421722160 11487545088 11592178430 11659674705 11726868944 11923383528 12183170304 12436986352 12564502440 13192727562 13248203920 13325342520 13402135936 13626724032 13910614116 13991609646 14213698688 14359431360 14658586180 14904229410 15077402928 15140804480 15228962880 15546232940 15897844704 15990411024 16752669920 17033405040 17231317632 17388267645 17590303416 17767123360 18168965376 18274755456 18547485488 18655479528 18846753660 19145908480 19872305880 19988013780 20103203904 20305283840 20865921174 21197126272 21320548032 21539147040 21987879270 22711206720 22843444320 23184356860 23319349410 23453737888 23846767056 24873972704 25129004880 26385455124 26496407840 26650685040 26804271872 27253448064 27821228232 27983219292 28427397376 28718862720 29317172360 29808458820 30154805856 30281608960 30457925760 31092465880 31795689408 31980822048 32981818905 33505339840 34066810080 34462635264 34776535290 34979024115 35180606832 35534246720 36549510912 37094970976 37310959056 37693507320 39744611760 39976027560 40206407808 41731842348 42394252544 42641096064 43078294080 43975758540 45422413440 45686888640 46368713720 46638698820 46907475776 47693534112 49747945408 50258009760 52164802935 52770910248 52992815680 53301370080 54506896128 55642456464 55966438584 57437725440 58634344720 59616917640 60309611712 60915851520 62184931760 63591378816 63961644096 65963637810 67010679680 68133620160 69553070580 69958048230 70361213664 71068493440 74189941952 74621918112 74923324669 75387014640 79489223520 79952055120 80412815616 83463684696 85282192128 86156588160 87951517080 90844826880 91373777280 92737427440 93277397640 93814951552 95387068224 99495890816 100516019520 104329605870 105541820496 105985631360 106602740160 111284912928 111932877168 117268689440 119233835280 120619223424 124369863520 127182757632 127923288192 131927275620 134021359360 136267240320 139106141160 139916096460 140722427328 142136986880 148379883904 149243836224 149846649338 150774029280 158978447040 159904110240 166927369392 172313176320 175903034160 182747554560 185474854880 186554795280 187629903104 190774136448 198991781632 201032039040 208659211740 211083640992 211971262720 213205480320 222569825856 223865754336 224769974007 234537378880 238467670560 241238446848 248739727040 255846576384 263854551240 272534480640 278212282320 279832192920 281444854656 296759767808 298487672448 299693298676 301548058560 317956894080 319808220480 333854738784 351806068320 370949709760 373109590560 374616623345 381548272896 402064078080 417318423480 422167281984 426410960640 445139651712 447731508672 449539948014 469074757760 476935341120 497479454080 524463272683 527709102480 556424564640 559664385840 562889709312 596975344896 599386597352 603096117120 635913788160 639616440960 667709477568 674309922021 703612136640 741899419520 746219181120 749233246690 834636846960 844334563968 890279303424 895463017344 899079896028 938149515520 953870682240 994958908160 1048926545366 1055418204960 1112849129280 1119328771680 1123849870035 1198773194704 1206192234240 1279232881920 1335418955136 1348619844042 1407224273280 1483798839040 1492438362240 1498466493380 1573389818049 1669273693920 1688669127936 1790926034688 1798159792056 1907741364480 2097853090732 2110836409920 2225698258560 2238657543360 2247699740070 2397546389408 2622316363415 2670837910272 2697239688084 2814448546560 2984876724480 2996932986760 3146779636098 3338547387840 3371549610105 3596319584112 3671242908781 4195706181464 4221672819840 4451396517120 4477315086720 4495399480140 4720169454147 4795092778816 5244632726830 5394479376168 5993865973520 6293559272196 6677094775680 6743099220210 7192639168224 7342485817562 7866949090245 8391412362928 8443345639680 8954630173440 8990798960280 9440338908294 9590185557632 10489265453660 10788958752336 11013728726343 11987731947040 12587118544392 13354189551360 13486198440420 14385278336448 14684971635124 15733898180490 16782824725856 17981597920560 18356214543905 18880677816588 19180371115264 20978530907320 21577917504672 22027457452686 23600847270735 23975463894080 25174237088784 26972396880840 28770556672896 29369943270248 31467796360980 33041186179029 33565649451712 35963195841120 36712429087810 37761355633176 41957061814640 43155835009344 44054914905372 47201694541470 47950927788160 50348474177568 53944793761680 55068643631715 57541113345792 58739886540496 62935592721960 66082372358058 67131298903424 71926391682240 73424858175620 75522711266352 83914123629280 86311670018688 88109829810744 94403389082940 95901855576320 100696948355136 107889587523360 110137287263430 117479773080992 125871185443920 132164744716116 134262597806848 143852783364480 146849716351240 151045422532704 165205930895145 167828247258560 172623340037376 176219659621488 188806778165880 201393896710272 215779175046720 220274574526860 234959546161984 251742370887840 264329489432232 287705566728960 293699432702480 302090845065408 330411861790290 335656494517120 352439319242976 377613556331760 402787793420544 431558350093440 440549149053720 469919092323968 503484741775680 528658978864464 587398865404960 604181690130816 660823723580580 671312989034240 704878638485952 755227112663520 863116700186880 881098298107440 939838184647936 1006969483551360 1057317957728928 1174797730809920 1208363380261632 1321647447161160 1409757276971904 1510454225327040 1762196596214880 2013938967102720 2114635915457856 2349595461619840 2643294894322320 2819514553943808 3020908450654080 3524393192429760 4229271830915712 4699190923239680 5286589788644640 6041816901308160 7048786384859520 8458543661831424 10573179577289280 14097572769719040 21146359154578560 42292718309157120
- Sum of all divisors σ(n): 170342550764305920
- Sum of proper divisors (its aliquot sum) s(n): 128049832455148800
- 42292718309157120 is an abundant number, because the sum of its proper divisors (128049832455148800) is greater than itself. Its abundance is 85757114145991680
Bases of 42292718309157120
- Binary: 100101100100000100000000110100110110011100101001000000002
- Hexadecimal: 0x964100D3672900
- Base-36: BKFIMKJN7K0
Squares and roots of 42292718309157120
- 42292718309157120 squared (422927183091571202) is 1788674021977713883282444846694400
- 42292718309157120 cubed (422927183091571203) is 75647886558410564803796082591416286742082224128000
-
The
square root of 42292718309157120 is 205651934.8539106743 -
The
cube root of 42292718309157120 is 348408.3326978337
Scales and comparisons
How big is 42292718309157120?- 42,292,718,309,157,120 seconds is equal to 1,344,777,622 years, 13 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 42,292,718,309,157,120 would take you about four billion, thirty-four million, three hundred thirty-two thousand, eight hundred sixty-six 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 42292718309157120 cubic inches would be around 29034 feet tall.
Recreational maths with 42292718309157120
- 42292718309157120 backwards is 02175190381729224
- 42292718309157120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42292718309157120's digits is 63
- More coming soon!
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"Number 42292718309157120 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 42292718309157120 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/42292718309157120/
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The information we have on file for 42292718309157120 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 42292718309157120, math, Factors of 42292718309157120, curriculum, school, college, exams, university, Prime factorization of 42292718309157120, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, two hundred ninety-two trillion, seven hundred eighteen billion, three hundred nine million, one hundred fifty-seven thousand, one hundred twenty.