42132228834816000
42,132,228,834,816,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42132228834816000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
42132228834816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 42132228834816000:
212 × 33 × 53 × 172 × 10545881
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 10545881)See below for interesting mathematical facts about the number 42132228834816000 from the Numbermatics database.
Names of 42132228834816000
- Cardinal: 42132228834816000 can be written as Forty-two quadrillion, one hundred thirty-two trillion, two hundred twenty-eight billion, eight hundred thirty-four million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.2132228834816 × 1016
Factors of 42132228834816000
Divisors of 42132228834816000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 250 255 256 270 272 288 289 300 306 320 340 360 375 384 400 408 425 432 450 459 480 500 510 512 540 544 576 578 600 612 640 675 680 720 750 765 768 800 816 850 864 867 900 918 960 1000 1020 1024 1080 1088 1125 1152 1156 1200 1224 1275 1280 1350 1360 1440 1445 1500 1530 1536 1600 1632 1700 1728 1734 1800 1836 1920 2000 2040 2048 2125 2160 2176 2250 2295 2304 2312 2400 2448 2550 2560 2601 2700 2720 2880 2890 3000 3060 3072 3200 3264 3375 3400 3456 3468 3600 3672 3825 3840 4000 4080 4096 4250 4320 4335 4352 4500 4590 4608 4624 4800 4896 5100 5120 5202 5400 5440 5760 5780 6000 6120 6144 6375 6400 6528 6750 6800 6912 6936 7200 7225 7344 7650 7680 7803 8000 8160 8500 8640 8670 8704 9000 9180 9216 9248 9600 9792 10200 10240 10404 10800 10880 11475 11520 11560 12000 12240 12288 12750 12800 13005 13056 13500 13600 13824 13872 14400 14450 14688 15300 15360 15606 16000 16320 17000 17280 17340 17408 18000 18360 18432 18496 19125 19200 19584 20400 20480 20808 21600 21675 21760 22950 23040 23120 24000 24480 25500 25600 26010 26112 27000 27200 27648 27744 28800 28900 29376 30600 30720 31212 32000 32640 34000 34560 34680 34816 36000 36125 36720 36864 36992 38250 38400 39015 39168 40800 41616 43200 43350 43520 45900 46080 46240 48000 48960 51000 51200 52020 52224 54000 54400 55296 55488 57375 57600 57800 58752 61200 61440 62424 64000 65025 65280 68000 69120 69360 69632 72000 72250 73440 73984 76500 76800 78030 78336 81600 83232 86400 86700 87040 91800 92160 92480 96000 97920 102000 102400 104040 104448 108000 108375 108800 110592 110976 114750 115200 115600 117504 122400 124848 128000 130050 130560 136000 138240 138720 144000 144500 146880 147968 153000 153600 156060 156672 163200 166464 172800 173400 174080 183600 184320 184960 192000 195075 195840 204000 208080 208896 216000 216750 217600 221952 229500 230400 231200 235008 244800 249696 256000 260100 261120 272000 276480 277440 288000 289000 293760 295936 306000 307200 312120 313344 325125 326400 332928 345600 346800 348160 367200 369920 384000 390150 391680 408000 416160 432000 433500 435200 443904 459000 460800 462400 470016 489600 499392 512000 520200 522240 544000 552960 554880 576000 578000 587520 591872 612000 624240 626688 650250 652800 665856 691200 693600 734400 739840 768000 780300 783360 816000 832320 864000 867000 870400 887808 918000 921600 924800 940032 975375 979200 998784 1040400 1044480 1088000 1109760 1152000 1156000 1175040 1183744 1224000 1248480 1300500 1305600 1331712 1382400 1387200 1468800 1479680 1536000 1560600 1566720 1632000 1664640 1728000 1734000 1740800 1775616 1836000 1849600 1880064 1950750 1958400 1997568 2080800 2176000 2219520 2304000 2312000 2350080 2448000 2496960 2601000 2611200 2663424 2764800 2774400 2937600 2959360 3121200 3133440 3264000 3329280 3456000 3468000 3551232 3672000 3699200 3901500 3916800 3995136 4161600 4352000 4439040 4608000 4624000 4700160 4896000 4993920 5202000 5222400 5326848 5548800 5875200 5918720 6242400 6528000 6658560 6912000 6936000 7344000 7398400 7803000 7833600 7990272 8323200 8704000 8878080 9248000 9400320 9792000 9987840 10404000 10545881 10653696 11097600 11750400 12484800 13056000 13317120 13824000 13872000 14688000 14796800 15606000 15667200 15980544 16646400 17756160 18496000 19584000 19975680 20808000 21091762 22195200 23500800 24969600 26112000 26634240 27744000 29376000 29593600 31212000 31637643 31961088 33292800 36992000 39168000 39951360 41616000 42183524 44390400 47001600 49939200 52729405 53268480 55488000 58752000 62424000 63275286 66585600 73984000 78336000 79902720 83232000 84367048 88780800 94912929 99878400 105458810 110976000 117504000 124848000 126550572 133171200 147968000 158188215 159805440 166464000 168734096 179279977 189825858 199756800 210917620 221952000 235008000 249696000 253101144 263647025 266342400 284738787 316376430 332928000 337468192 358559954 379651716 399513600 421835240 443904000 474564645 499392000 506202288 527294050 537839931 569477574 632752860 665856000 674936384 717119908 759303432 790941075 799027200 843670480 896399885 949129290 998784000 1012404576 1054588100 1075679862 1138955148 1265505720 1318235125 1331712000 1349872768 1423693935 1434239816 1518606864 1581882150 1613519793 1687340960 1792799770 1898258580 1997568000 2024809152 2109176200 2151359724 2277910296 2372823225 2531011440 2636470250 2689199655 2699745536 2847387870 2868479632 3037213728 3047759609 3163764300 3227039586 3374681920 3585599540 3796517160 3954705375 3995136000 4049618304 4218352400 4302719448 4481999425 4555820592 4745646450 4840559379 5062022880 5272940500 5378399310 5399491072 5694775740 5736959264 6074427456 6095519218 6327528600 6454079172 6749363840 7118469675 7171199080 7593034320 7909410750 8067598965 8099236608 8436704800 8605438896 8963998850 9111641184 9143278827 9491292900 9681118758 10124045760 10545881000 10756798620 10798982144 11389551480 11473918528 11864116125 12148854912 12191038436 12655057200 12908158344 13445998275 13498727680 14236939350 14342398160 15186068640 15238798045 15818821500 16135197930 16198473216 16873409600 17210877792 17927997700 18223282368 18286557654 18982585800 19362237516 20248091520 21091762000 21513597240 21597964288 22409997125 22779102960 22947837056 23728232250 24202796895 24297709824 24382076872 25310114400 25816316688 26891996550 26997455360 27429836481 28473878700 28684796320 30372137280 30477596090 31637643000 32270395860 32396946432 33746819200 34421755584 35592348375 35855995400 36446564736 36573115308 37965171600 38724475032 40337994825 40496183040 42183524000 43027194480 43195928576 44819994250 45558205920 45716394135 45895674112 47456464500 48405593790 48595419648 48764153744 50620228800 51632633376 53783993100 53994910720 54859672962 56947757400 57369592640 60744274560 60955192180 63275286000 64540791720 64793892864 67229991375 67493638400 68843511168 71184696750 71711990800 72893129472 73146230616 75930343200 76193990225 77448950064 80675989650 80992366080 82289509443 84367048000 86054388960 89639988500 91116411840 91432788270 91791348224 94912929000 96811187580 97190839296 97528307488 101240457600 103265266752 107567986200 107989821440 109719345924 113895514800 114739185280 121013984475 121488549120 121910384360 126550572000 129081583440 129587785728 134459982750 134987276800 137149182405 137687022336 142369393500 143423981600 145786258944 146292461232 151860686400 152387980450 154897900128 161351979300 161984732160 164579018886 168734096000 172108777920 179279977000 182232823680 182865576540 183582696448 189825858000 193622375160 194381678592 195056614976 201689974125 202480915200 206530533504 215135972400 215979642880 219438691848 227791029600 228581970675 229478370560 242027968950 242977098240 243820768720 253101144000 258163166880 268919965500 269974553600 274298364810 275374044672 284738787000 286847963200 291572517888 292584922464 303721372800 304775960900 309795800256 322703958600 323969464320 329158037772 337468192000 344217555840 358559954000 364465647360 365731153080 367165392896 379651716000 380969951125 387244750320 388763357184 390113229952 403379948250 404961830400 411447547215 413061067008 430271944800 438877383696 455582059200 457163941350 458956741120 484055937900 485954196480 487641537440 506202288000 516326333760 537839931000 539949107200 548596729620 550748089344 569477574000 573695926400 583145035776 585169844928 605069922375 607442745600 609551921800 619591600512 645407917200 647938928640 658316075544 674936384000 685745912025 688435111680 717119908000 728931294720 731462306160 734330785792 759303432000 761939902250 774489500640 780226459904 806759896500 809923660800 822895094430 826122134016 860543889600 877754767392 911164118400 914327882700 917913482240 968111875800 971908392960 975283074880 1012404576000 1032652667520 1075679862000 1079898214400 1097193459240 1101496178688 1138955148000 1142909853375 1147391852800 1166290071552 1170339689856 1210139844750 1214885491200 1219103843600 1239183201024 1290815834400 1316632151088 1349872768000 1371491824050 1376870223360 1434239816000 1457862589440 1462924612320 1518606864000 1523879804500 1548979001280 1560452919808 1613519793000 1619847321600 1645790188860 1652244268032 1721087779200 1755509534784 1822328236800 1828655765400 1835826964480 1936223751600 1943816785920 1950566149760 2024809152000 2057237736075 2065305335040 2151359724000 2194386918480 2202992357376 2277910296000 2285819706750 2294783705600 2340679379712 2420279689500 2429770982400 2438207687200 2478366402048 2581631668800 2633264302176 2699745536000 2742983648100 2753740446720 2868479632000 2915725178880 2925849224640 3037213728000 3047759609000 3097958002560 3120905839616 3227039586000 3239694643200 3291580377720 3304488536064 3428729560125 3442175558400 3511019069568 3644656473600 3657311530800 3671653928960 3872447503200 3901132299520 4049618304000 4114475472150 4130610670080 4302719448000 4388773836960 4555820592000 4571639413500 4589567411200 4681358759424 4840559379000 4859541964800 4876415374400 4956732804096 5163263337600 5266528604352 5399491072000 5485967296200 5507480893440 5736959264000 5831450357760 5851698449280 6074427456000 6095519218000 6195916005120 6241811679232 6454079172000 6583160755440 6608977072128 6857459120250 6884351116800 7022038139136 7289312947200 7314623061600 7744895006400 7802264599040 8099236608000 8228950944300 8261221340160 8605438896000 8777547673920 9111641184000 9143278827000 9179134822400 9362717518848 9681118758000 9719083929600 9752830748800 9913465608192 10286188680375 10326526675200 10533057208704 10971934592400 11014961786880 11473918528000 11703396898560 12148854912000 12191038436000 12391832010240 12483623358464 12908158344000 13166321510880 13714918240500 13768702233600 14044076278272 14578625894400 14629246123200 15489790012800 15604529198080 16198473216000 16457901888600 16522442680320 17210877792000 17555095347840 18223282368000 18286557654000 18358269644800 18725435037696 19362237516000 19505661497600 19826931216384 20572377360750 20653053350400 21066114417408 21943869184800 22947837056000 23406793797120 24297709824000 24382076872000 24783664020480 25816316688000 26332643021760 27429836481000 27537404467200 28088152556544 29157251788800 29258492246400 30979580025600 31209058396160 32915803777200 33044885360640 34421755584000 35110190695680 36446564736000 36573115308000 37450870075392 38724475032000 39011322995200 41144754721500 41306106700800 42132228834816 43887738369600 45895674112000 46813587594240 48595419648000 48764153744000 49567328040960 51632633376000 52665286043520 54859672962000 55074808934400 56176305113088 58516984492800 61959160051200 62418116792320 65831607554400 68843511168000 70220381391360 72893129472000 73146230616000 77448950064000 78022645990400 82289509443000 82612213401600 84264457669632 87775476739200 91791348224000 93627175188480 97528307488000 99134656081920 103265266752000 105330572087040 109719345924000 112352610226176 117033968985600 123918320102400 131663215108800 137687022336000 140440762782720 145786258944000 146292461232000 154897900128000 156045291980800 164579018886000 165224426803200 168528915339264 175550953478400 187254350376960 195056614976000 206530533504000 210661144174080 219438691848000 234067937971200 247836640204800 263326430217600 275374044672000 280881525565440 292584922464000 309795800256000 312090583961600 329158037772000 337057830678528 351101906956800 390113229952000 413061067008000 421322288348160 438877383696000 468135875942400 495673280409600 526652860435200 561763051130880 585169844928000 619591600512000 658316075544000 702203813913600 780226459904000 826122134016000 842644576696320 877754767392000 936271751884800 1053305720870400 1170339689856000 1239183201024000 1316632151088000 1404407627827200 1560452919808000 1685289153392640 1755509534784000 2106611441740800 2340679379712000 2478366402048000 2633264302176000 2808815255654400 3511019069568000 4213222883481600 4681358759424000 5266528604352000 7022038139136000 8426445766963200 10533057208704000 14044076278272000 21066114417408000 42132228834816000
- Sum of all divisors σ(n): 165478966066964160
- Sum of proper divisors (its aliquot sum) s(n): 123346737232148160
- 42132228834816000 is an abundant number, because the sum of its proper divisors (123346737232148160) is greater than itself. Its abundance is 81214508397332160
Bases of 42132228834816000
- Binary: 100101011010111100001001111101010100101101110000000000002
- Hexadecimal: 0x95AF09F54B7000
- Base-36: BIUMMQ2C5C0
Squares and roots of 42132228834816000
- 42132228834816000 squared (421322288348160002) is 1775124706589300797013753856000000
- 42132228834816000 cubed (421322288348160003) is 74789960348356030596418930756705107050496000000000
-
The
square root of 42132228834816000 is 205261367.1269291727 -
The
cube root of 42132228834816000 is 347967.0688077243
Scales and comparisons
How big is 42132228834816000?- 42,132,228,834,816,000 seconds is equal to 1,339,674,553 years, 21 weeks, 1 day.
-
To count from 1 to 42,132,228,834,816,000 would take you about four billion, nineteen million, twenty-three thousand, six hundred sixty 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 42132228834816000 cubic inches would be around 28997.3 feet tall.
Recreational maths with 42132228834816000
- 42132228834816000 backwards is 00061843882223124
- 42132228834816000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42132228834816000's digits is 54
- More coming soon!
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The information we have on file for 42132228834816000 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 42132228834816000, math, Factors of 42132228834816000, curriculum, school, college, exams, university, Prime factorization of 42132228834816000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-two trillion, two hundred twenty-eight billion, eight hundred thirty-four million, eight hundred sixteen thousand.