42144843253159760400
42,144,843,253,159,760,400 is an even composite number composed of six prime numbers multiplied together.
42144843253159760400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 42144843253159760400:
24 × 32 × 52 × 72 × 10212 × 151392
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 1021 × 1021 × 15139 × 15139)See below for interesting mathematical facts about the number 42144843253159760400 from the Numbermatics database.
Names of 42144843253159760400
- Cardinal: 42144843253159760400 can be written as Forty-two quintillion, one hundred forty-four quadrillion, eight hundred forty-three trillion, two hundred fifty-three billion, one hundred fifty-nine million, seven hundred sixty thousand, four hundred.
Scientific notation
- Scientific notation: 4.21448432531597604 × 1019
Factors of 42144843253159760400
Divisors of 42144843253159760400
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 98 100 105 112 120 126 140 144 147 150 168 175 180 196 200 210 225 240 245 252 280 294 300 315 336 350 360 392 400 420 441 450 490 504 525 560 588 600 630 700 720 735 784 840 882 900 980 1008 1021 1050 1176 1200 1225 1260 1400 1470 1575 1680 1764 1800 1960 2042 2100 2205 2352 2450 2520 2800 2940 3063 3150 3528 3600 3675 3920 4084 4200 4410 4900 5040 5105 5880 6126 6300 7056 7147 7350 8168 8400 8820 9189 9800 10210 11025 11760 12252 12600 14294 14700 15139 15315 16336 17640 18378 19600 20420 21441 22050 24504 25200 25525 28588 29400 30278 30630 35280 35735 36756 40840 42882 44100 45417 45945 49008 50029 51050 57176 58800 60556 61260 64323 71470 73512 75695 76575 81680 85764 88200 90834 91890 100058 102100 105973 107205 114352 121112 122520 128646 136251 142940 147024 150087 151390 153150 171528 176400 178675 181668 183780 200116 204200 211946 214410 227085 229725 242224 245040 250145 257292 272502 285880 300174 302780 306300 317919 321615 343056 357350 363336 367560 378475 400232 408400 423892 428820 450261 454170 459450 500290 514584 529865 536025 545004 571760 600348 605560 612600 635838 643230 681255 714700 726672 735120 741811 750435 756950 800464 847784 857640 900522 908340 918900 953757 1000580 1029168 1042441 1059730 1072050 1090008 1135425 1200696 1211120 1225200 1250725 1271676 1286460 1362510 1429400 1483622 1500870 1513900 1589595 1608075 1695568 1715280 1801044 1816680 1837800 1907514 2001160 2084882 2119460 2144100 2180016 2225433 2251305 2270850 2401392 2501450 2543352 2572920 2649325 2725020 2858800 2967244 3001740 3027800 3127323 3179190 3216150 3406275 3602088 3633360 3675600 3709055 3752175 3815028 4002320 4169764 4238920 4288200 4450866 4502610 4541700 4768785 5002900 5086704 5145840 5212205 5298650 5450040 5934488 6003480 6055600 6254646 6358380 6432300 6676299 6812550 7204176 7297087 7418110 7504350 7630056 7947975 8339528 8477840 8576400 8901732 9005220 9083400 9381969 9537570 10005800 10424410 10597300 10900080 11127165 11256525 11868976 12006960 12509292 12716760 12864600 13352598 13625100 14594174 14836220 15008700 15260112 15456919 15636615 15895950 16679056 17803464 18010440 18166800 18545275 18763938 19075140 20011600 20848820 21194600 21891261 22254330 22513050 23843925 25018584 25433520 25729200 26061025 26705196 27250200 29188348 29672440 30017400 30913838 31273230 31791900 33381495 35606928 36020880 36485435 37090550 37527876 38150280 41697640 42389200 43782522 44508660 45026100 46370757 46909845 47687850 50037168 51079609 52122050 53410392 54500400 55635825 58376696 59344880 60034800 61827676 62546460 63583800 65673783 66762990 72970870 74181100 75055752 76300560 77284595 78183075 83395280 87565044 89017320 90052200 92741514 93819690 95375700 102159218 104244100 106820784 108198433 109456305 111271650 116753392 123655352 125092920 127167600 131347566 133525980 139112271 145941740 148362200 150111504 153238827 154569190 156366150 166907475 175130088 178034640 180104400 182427175 185483028 187639380 190751400 204318436 208488200 216396866 218912610 222543300 229189321 231853785 234549225 247310704 250185840 255398045 262695132 267051960 278224542 291883480 296724400 306477654 309138380 312732300 324595299 328368915 333814950 350260176 364854350 370966056 375278760 381502800 386422975 408636872 416976400 432793732 437825220 445086600 458378642 459716481 463707570 469098450 510796090 525390264 534103920 540992165 547281525 556449084 583766960 612955308 618276760 625464600 649190598 656737830 667629900 687567963 695561355 729708700 741932112 750557520 757389031 766194135 772845950 817273744 865587464 875650440 890173200 916757284 919432962 927415140 938196900 973785897 1021592180 1050780528 1081984330 1094563050 1112898168 1145946605 1159268925 1225910616 1236553520 1250929200 1276990225 1298381196 1313475660 1335259800 1375135926 1391122710 1459417400 1514778062 1532388270 1545691900 1604325247 1622976495 1641844575 1731174928 1751300880 1833514568 1838865924 1854830280 1876393800 1947571794 2043184360 2062703889 2163968660 2189126100 2225796336 2272167093 2291893210 2298582405 2318537850 2451821232 2553980450 2596762392 2626951320 2670519600 2704960825 2750271852 2782245420 2918834800 3029556124 3064776540 3091383800 3208650494 3245952990 3283689150 3437839815 3477806775 3667029136 3677731848 3709660560 3752787600 3786945155 3830970675 3895143588 4086368720 4125407778 4327937320 4378252200 4544334186 4583786420 4597164810 4637075700 4812975741 4868929485 5107960900 5193524784 5253902640 5409921650 5500543704 5564490840 5729733025 6059112248 6129553080 6182767600 6417300988 6491905980 6567378300 6816501279 6875679630 6955613550 7355463696 7573890310 7661941350 7790287176 8021626235 8114882475 8250815556 8655874640 8756504400 9088668372 9167572840 9194329620 9274151400 9625951482 9737858970 10215921800 10313519445 10819843300 11001087408 11128981680 11230276729 11360835465 11459466050 11492912025 12118224496 12259106160 12834601976 12983811960 13134756600 13633002558 13751359260 13911227100 14438927223 15147780620 15323882700 15580574352 15781514299 16043252470 16229764950 16501631112 17189199075 18177336744 18335145680 18388659240 18548302800 18934725775 19251902964 19475717940 20431843600 20627038890 21639686600 22460553458 22721670930 22918932100 22985824050 24064878705 24344647425 25669203952 25967623920 26269513200 27266005116 27502718520 27822454200 28877854446 30295561240 30647765400 31563028598 32086504940 32459529900 33003262224 33690830187 34082506395 34378398150 36354673488 36777318480 37869451550 38503805928 38951435880 40108131175 41254077780 43279373200 44921106916 45443341860 45837864200 45971648100 47344542897 48129757410 48689294850 51567597225 54532010232 55005437040 55644908400 56151383645 56804177325 57755708892 60591122480 61295530800 63126057196 64173009880 64919059800 67381660374 68165012790 68756796300 72194636115 75738903100 77007611856 77902871760 78907571495 80216262350 82508155560 89842213832 90886683720 91675728400 91943296200 94689085794 96259514820 97378589700 101072490561 103135194450 109064020464 110470600093 112302767290 113608354650 115511417784 120324393525 126252114392 128346019760 129838119600 134763320748 136330025580 137513592600 142033628691 144389272230 151477806200 157815142990 160432524700 165016311120 168454150935 170412531975 179684427664 181773367440 183886592400 189378171588 192519029640 194757179400 202144981122 206270388900 220941200186 224605534580 227216709300 231022835568 234002296741 236722714485 240648787050 252504228784 269526641496 272660051160 275027185200 280756918225 284067257382 288778544460 302955612400 315630285980 320865049400 331411800279 336908301870 340825063950 360973180575 378756343176 385038059280 389514358800 394537857475 404289962244 412540777800 441882400372 449211069160 454433418600 468004593482 473445428970 481297574100 505362452805 539053282992 545320102320 552353000465 561513836450 568134514764 577557088920 631260571960 641730098800 662823600558 673816603740 681650127900 702006890223 710168143455 721946361150 757512686352 773294200651 789075714950 808579924488 825081555600 842270754675 883764800744 898422138320 908866837200 936009186964 946890857940 962595148200 994235400837 1010724905610 1104706000930 1123027672900 1136269029528 1155114177840 1170011483705 1183613572425 1262521143920 1325647201116 1347633207480 1363300255800 1404013780446 1420336286910 1443892722300 1546588401302 1578151429900 1617159848976 1638016077187 1657059001395 1684541509350 1767529601488 1872018373928 1893781715880 1925190296400 1988470801674 2021449811220 2106020670669 2209412001860 2246055345800 2272538059056 2319882601953 2340022967410 2367227144850 2526812264025 2651294402232 2695266414960 2726600511600 2761765002325 2808027560892 2840672573820 2887785444600 3093176802604 3156302859800 3276032154374 3314118002790 3369083018700 3510034451115 3550840717275 3744036747856 3787563431760 3866471003255 3976941603348 4042899622440 4212041341338 4418824003720 4492110691600 4639765203906 4680045934820 4734454289700 4914048231561 4971177004185 5053624528050 5302588804464 5523530004650 5616055121784 5681345147640 5775570889200 5850057418525 6186353605208 6312605719600 6552064308748 6628236005580 6738166037400 6959647805859 7020068902230 7101681434550 7732942006510 7953883206696 8085799244880 8190080385935 8285295006975 8424082682676 8837648007440 9279530407812 9360091869640 9468908579400 9828096463122 9942354008370 10107249056100 10530103353345 11047060009300 11232110243568 11362690295280 11466112540309 11599413009765 11700114837050 12372707210416 13104128617496 13256472011160 13476332074800 13919295611718 14040137804460 14203362869100 14742144694683 15465884013020 15907766413392 16380160771870 16570590013950 16848165365352 17550172255575 18559060815624 18720183739280 18937817158800 19332355016275 19656192926244 19884708016740 20214498112200 21060206706690 22094120018600 22932225080618 23198826019530 23400229674100 24570241157805 24855885020925 26208257234992 26512944022320 27838591223436 28080275608920 28406725738200 29484289389366 30931768026040 32760321543740 33141180027900 33696330730704 34398337620927 34798239029295 35100344511150 37118121631248 38664710032550 39312385852488 39769416033480 40428996224400 40950401929675 42120413413380 44188240037200 45864450161236 46397652039060 46800459348200 49140482315610 49711770041850 52650516766725 55677182446872 56160551217840 56813451476400 57330562701545 57997065048825 58968578778732 61863536052080 65520643087480 66282360055800 68796675241854 69596478058590 70200689022300 73710723473415 77329420065100 78624771704976 79538832066960 81900803859350 84240826826760 91728900322472 92795304078120 93600918696400 98280964631220 99423540083700 103195012862781 105301033533450 111354364893744 114661125403090 115994130097650 117937157557464 122851205789025 131041286174960 132564720111600 137593350483708 139192956117180 140401378044600 147421446946830 154658840130200 163801607718700 168481653653520 171991688104635 173991195146475 183457800644944 185590608156240 196561929262440 198847080167400 206390025725562 210602067066900 229322250806180 231988260195300 235874315114928 238916344972561 245702411578050 275186700967416 278385912234360 280802756089200 286652813507725 294842893893660 309317680260400 327603215437400 343983376209270 347982390292950 368553617367075 393123858524880 397694160334800 412780051451124 421204134133800 458644501612360 463976520390600 477832689945122 491404823156100 515975064313905 550373401934832 556771824468720 573305627015450 589685787787320 655206430874800 687966752418540 695964780585900 716749034917683 737107234734150 825560102902248 842408268267600 859958440523175 917289003224720 927953040781200 955665379890244 982809646312200 1031950128627810 1146611254030900 1179371575574640 1194581724862805 1375933504837080 1391929561171800 1433498069835366 1474214469468300 1651120205804496 1672414414807927 1719916881046350 1911330759780488 1965619292624400 2063900257255620 2150247104753049 2293222508061800 2389163449725610 2579875321569525 2751867009674160 2783859122343600 2866996139670732 2948428938936600 3344828829615854 3439833762092700 3583745174588415 3822661519560976 4127800514511240 4300494209506098 4586445016123600 4778326899451220 5017243244423781 5159750643139050 5733992279341464 5896857877873200 5972908624314025 6689657659231708 6879667524185400 7167490349176830 8255601029022480 8362072074039635 8600988419012196 9556653798902440 10034486488847562 10319501286278100 10751235523765245 11467984558682928 11706900903655489 11945817248628050 13379315318463416 13759335048370800 14334980698353660 15051729733271343 16724144148079270 17201976838024392 17918725872942075 19113307597804880 20068972977695124 20639002572556200 21502471047530490 23413801807310978 23891634497256100 25086216222118905 26758630636926832 28669961396707320 30103459466542686 33448288296158540 34403953676048784 35120702710966467 35837451745884150 40137945955390248 41278005145112400 41810360370198175 43004942095060980 46827603614621956 47783268994512200 50172432444237810 53756177618826225 57339922793414640 58534504518277445 60206918933085372 66896576592317080 70241405421932934 71674903491768300 75258648666356715 80275891910780496 83620720740396350 86009884190121960 93655207229243912 95566537989024400 100344864888475620 105362108132899401 107512355237652450 117069009036554890 120413837866170744 125431081110594525 133793153184634160 140482810843865868 143349806983536600 150517297332713430 167241441480792700 172019768380243920 175603513554832335 187310414458487824 200689729776951240 210724216265798802 215024710475304900 234138018073109780 240827675732341488 250862162221189050 280965621687731736 286699613967073200 292672522591387225 301034594665426860 334482882961585400 351207027109664670 376293243331783575 401379459553902480 421448432531597604 430049420950609800 468276036146219560 501724324442378100 526810540664497005 561931243375463472 585345045182774450 602069189330853720 668965765923170800 702414054219329340 752586486663567150 842896865063195208 860098841901219600 878017567774161675 936552072292439120 1003448648884756200 1053621081328994010 1170690090365548900 1204138378661707440 1404828108438658680 1505172973327134300 1685793730126390416 1756035135548323350 2006897297769512400 2107242162657988020 2341380180731097800 2634052703322485025 2809656216877317360 3010345946654268600 3512070271096646700 4214484325315976040 4682760361462195600 5268105406644970050 6020691893308537200 7024140542193293400 8428968650631952080 10536210813289940100 14048281084386586800 21072421626579880200 42144843253159760400
- Sum of all divisors σ(n): 170310614439594748743
- Sum of proper divisors (its aliquot sum) s(n): 128165771186434988343
- 42144843253159760400 is an abundant number, because the sum of its proper divisors (128165771186434988343) is greater than itself. Its abundance is 86020927933275227943
Bases of 42144843253159760400
- Binary: 1001001000111000001000111110100101010100110001101100010010000100002
- Hexadecimal: 0x248E08FA5531B1210
- Base-36: 8W7302ZT8OYS0
Squares and roots of 42144843253159760400
- 42144843253159760400 squared (421448432531597604002) is 1776187812833405776041098685785408160000
- 42144843253159760400 cubed (421448432531597604003) is 74857156960036552708850317038472962440307695601804864000000
-
42144843253159760400 is a
perfect square number . Itssquare root is 6491905980 -
The
cube root of 42144843253159760400 is 3480017.9253590627
Scales and comparisons
How big is 42144843253159760400?- 42,144,843,253,159,760,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,144,843,253,159,760,400 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 42144843253159760400 cubic inches would be around 290001.5 feet tall.
Recreational maths with 42144843253159760400
- 42144843253159760400 backwards is 00406795135234844124
- 42144843253159760400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42144843253159760400's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42144843253159760400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 42144843253159760400 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42144843253159760400/
Chicago style:
Numbermatics. 2024. "Number 42144843253159760400 - Facts about the integer". https://numbermatics.com/n/42144843253159760400/
The information we have on file for 42144843253159760400 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 42144843253159760400, math, Factors of 42144843253159760400, curriculum, school, college, exams, university, Prime factorization of 42144843253159760400, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, one hundred forty-four quadrillion, eight hundred forty-three trillion, two hundred fifty-three billion, one hundred fifty-nine million, seven hundred sixty thousand, four hundred.