2042816002864000
2,042,816,002,864,000 is an even composite number composed of six prime numbers multiplied together.
2042816002864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 2042816002864000:
27 × 53 × 7 × 132 × 792 × 17293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 79 × 79 × 17293)See below for interesting mathematical facts about the number 2042816002864000 from the Numbermatics database.
Names of 2042816002864000
- Cardinal: 2042816002864000 can be written as Two quadrillion, forty-two trillion, eight hundred sixteen billion, two million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.042816002864 × 1015
Factors of 2042816002864000
Divisors of 2042816002864000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 79 80 91 100 104 112 125 128 130 140 158 160 169 175 182 200 208 224 250 260 280 316 320 325 338 350 364 395 400 416 448 455 500 520 553 560 632 640 650 676 700 728 790 800 832 845 875 896 910 1000 1027 1040 1106 1120 1183 1264 1300 1352 1400 1456 1580 1600 1625 1664 1690 1750 1820 1975 2000 2054 2080 2212 2240 2275 2366 2528 2600 2704 2765 2800 2912 3160 3200 3250 3380 3500 3640 3950 4000 4108 4160 4225 4424 4480 4550 4732 5056 5135 5200 5408 5530 5600 5824 5915 6241 6320 6500 6760 7000 7189 7280 7900 8000 8216 8320 8450 8848 9100 9464 9875 10112 10270 10400 10816 11060 11200 11375 11648 11830 12482 12640 13000 13351 13520 13825 14000 14378 14560 15800 16000 16432 16900 17293 17696 18200 18928 19750 20540 20800 21125 21632 22120 22400 22750 23660 24964 25280 25675 26000 26702 27040 27650 28000 28756 29120 29575 31205 31600 32864 33800 34586 35392 35945 36400 37856 39500 41080 41600 42250 43687 44240 45500 47320 49928 50560 51350 52000 53404 54080 55300 56000 57512 58240 59150 62410 63200 65728 66755 67600 69125 69172 70784 71890 72800 75712 79000 81133 82160 84500 86465 87374 88480 91000 93457 94640 99856 102700 104000 106808 108160 110600 112000 115024 118300 121051 124820 126400 128375 131456 133510 135200 138250 138344 143780 145600 147875 151424 156025 158000 162266 164320 169000 172930 174748 176960 179725 182000 186914 189280 199712 205400 208000 213616 218435 221200 224809 230048 236600 242102 249640 252800 256750 267020 270400 276500 276688 287560 291200 295750 312050 316000 324532 328640 333775 338000 345860 349496 353920 359450 364000 373828 378560 399424 405665 410800 427232 432325 436870 442400 449618 460096 467285 473200 484204 499280 513500 534040 540800 553000 553376 567931 575120 591500 605255 624100 632000 649064 657280 667550 676000 691720 698992 718900 728000 747656 757120 780125 798848 811330 821600 854464 864650 873740 884800 898625 899236 920192 934570 946400 968408 998560 1027000 1054729 1068080 1092175 1106000 1106752 1124045 1135862 1150240 1183000 1210510 1248200 1264000 1298128 1335100 1352000 1366147 1383440 1397984 1437800 1456000 1495312 1560250 1573663 1622660 1643200 1668875 1708928 1729300 1747480 1769600 1797250 1798472 1869140 1892800 1936816 1997120 2028325 2054000 2109458 2136160 2161625 2184350 2212000 2213504 2248090 2271724 2300480 2336425 2366000 2421020 2496400 2596256 2670200 2704000 2732294 2766880 2795968 2839655 2875600 2922517 2990624 3026275 3120500 3147326 3245320 3286400 3337750 3458600 3494960 3594500 3596944 3738280 3785600 3873632 3994240 4056650 4108000 4218916 4272320 4323250 4368700 4424000 4496180 4543448 4600960 4672850 4732000 4842040 4992800 5192512 5273645 5340400 5460875 5464588 5533760 5591936 5620225 5679310 5751200 5845034 5981248 6052550 6241000 6294652 6490640 6675500 6830735 6917200 6989920 7189000 7193888 7383103 7476560 7747264 7868315 8113300 8216000 8437832 8544640 8646500 8737400 8848000 8992360 9086896 9345700 9464000 9563029 9684080 9985600 10141625 10385024 10547290 10680800 10921750 10929176 11067520 11240450 11358620 11502400 11682125 11690068 11962496 12105100 12482000 12589304 12981280 13351000 13661470 13834400 13979840 14198275 14378000 14387776 14612585 14766206 14953120 15131375 15494528 15736630 16226600 16432000 16875664 17293000 17474800 17759911 17984720 18173792 18691400 18928000 19126058 19368160 19971200 20283250 20457619 21094580 21361600 21843500 21858352 22480900 22717240 23004800 23364250 23380136 24210200 24964000 25178608 25962560 26368225 26702000 27322940 27668800 27959680 28101125 28396550 28756000 28775552 29225170 29532412 29906240 30262750 31473260 32453200 33751328 34153675 34586000 34949600 35519822 35969440 36347584 36915515 37382800 38252116 38736320 39341575 40566500 40915238 42189160 42723200 43687000 43716704 44961800 45434480 46728500 46760272 47815145 48420400 49928000 50357216 51925120 52736450 53404000 54645880 55337600 56202250 56793100 57512000 58450340 59064824 59812480 60525500 62946520 64906400 67502656 68307350 69172000 69899200 70991375 71039644 71938880 72695168 73062925 73831030 74765600 76504232 77472640 78683150 81133000 81830476 84378320 87374000 87433408 88799555 89923600 90868960 93457000 93520544 95630290 96840800 99856000 100714432 102288095 105472900 106808000 107925613 109291760 112404500 113586200 115024000 116900680 118129648 121051000 124319377 125893040 129812800 131841125 135005312 136614700 138344000 139798400 141982750 142079288 143877760 146125850 147662060 149531200 153008464 157366300 162266000 163660952 168756640 170768375 174748000 174866816 177599110 179847200 181737920 184577575 186914000 187041088 191260580 193681600 196707875 201428864 204576190 210945800 213616000 215851226 218583520 224809000 227172400 230878843 233801360 236259296 239075725 242102000 248638754 251786080 259625600 263682250 273229400 276688000 283965500 284158576 292251700 295324120 299062400 306016928 314732600 324532000 327321904 337513280 341536750 349496000 355198220 359694400 363475840 365314625 369155150 373828000 374082176 382521160 387363200 393415750 409152380 421891600 431702452 437167040 443997775 449618000 454344800 461757686 467602720 472518592 478151450 484204000 497277508 503572160 511440475 527364500 539628065 546458800 567931000 568317152 584503400 590648240 612033856 621596885 629465200 649064000 654643808 675026560 683073500 698992000 710396440 719388800 730629250 738310300 747656000 755479291 765042320 786831500 818304760 843783200 863404904 874334080 887995550 899236000 908689600 922887875 923515372 935205440 945037184 956302900 968408000 994555016 1007144320 1022880950 1054729000 1079256130 1092917600 1135862000 1136634304 1154394215 1169006800 1181296480 1195378625 1224067712 1243193770 1258930400 1298128000 1309287616 1366147000 1403032969 1420792880 1461258500 1476620600 1495312000 1510958582 1530084640 1573663000 1616151901 1636609520 1687566400 1726809808 1775991100 1798472000 1817379200 1845775750 1847030744 1870410880 1912605800 1936816000 1989110032 2045761900 2109458000 2158512260 2185835200 2219988875 2271724000 2273268608 2308788430 2338013600 2362592960 2390757250 2486387540 2517860800 2557202375 2618575232 2698140325 2732294000 2806065938 2841585760 2922517000 2953241200 3021917164 3060169280 3107984425 3147326000 3232303802 3273219040 3375132800 3453619616 3551982200 3596944000 3691551500 3694061488 3777396455 3825211600 3978220064 4091523800 4218916000 4317024520 4371670400 4439977750 4543448000 4617576860 4676027200 4725185920 4781514500 4972775080 5035721600 5114404750 5396280650 5464588000 5612131876 5683171520 5771971075 5845034000 5906482400 6043834328 6120338560 6215968850 6294652000 6464607604 6546438080 6907239232 7015164845 7103964400 7383103000 7388122976 7554792910 7650423200 7956440128 8080759505 8183047600 8437832000 8634049040 8879955500 9086896000 9235153720 9352054400 9563029000 9821230783 9945550160 10228809500 10792561300 10929176000 11224263752 11366343040 11543942150 11690068000 11812964800 12087668656 12431937700 12589304000 12929215208 13092876160 13490701625 13814478464 14030329690 14207928800 14766206000 14776245952 15109585820 15300846400 15539922125 15912880256 16161519010 16366095200 16875664000 17268098080 17759911000 18239428597 18470307440 18886982275 19126058000 19642461566 19891100320 20457619000 21585122600 21858352000 22448527504 23087884300 23380136000 23625929600 24175337312 24863875400 25178608000 25858430416 26981403250 28060659380 28415857600 28859855375 29532412000 29552491904 30219171640 30601692800 31079844250 32323038020 32732190400 34536196160 35075824225 35519822000 36478857194 36940614880 37773964550 38252116000 39284923132 39782200640 40403797525 40915238000 43170245200 44897055008 46175768600 46760272000 48350674624 49106153915 49727750800 51716860832 53962806500 56121318760 56831715200 57719710750 59064824000 60438343280 62159688500 64646076040 65464380800 69072392320 70151648450 71039644000 72957714388 73881229760 75547929100 76504232000 78569846264 79564401280 80807595050 81830476000 86340490400 89794110016 91197142985 92351537200 94434911375 96701349248 98212307830 99455501600 103433721664 107925613000 112242637520 115439421500 118129648000 120876686560 124319377000 127676000179 129292152080 140303296900 142079288000 145915428776 147762459520 151095858200 153008464000 157139692528 161615190100 163660952000 172680980800 175379121125 179588220032 182394285970 184703074400 188869822750 196424615660 198911003200 202018987625 206867443328 215851226000 224485275040 230878843000 241753373120 245530769575 248638754000 255352000358 258584304160 280606593800 284158576000 291830857552 302191716400 314279385056 323230380200 327321904000 345361961600 350758242250 364788571940 369406148800 377739645500 392849231320 397822006400 404037975250 431702452000 448970550080 455985714925 461757686000 483506746240 491061539150 497277508000 510704000716 517168608320 561213187600 583661715104 604383432800 628558770112 638380000895 646460760400 701516484500 729577143880 738812297600 755479291000 785698462640 808075950500 863404904000 897941100160 911971429850 923515372000 982123078300 994555016000 1021408001432 1034337216640 1122426375200 1167323430208 1208766865600 1227653847875 1257117540224 1276760001790 1292921520800 1403032969000 1459154287760 1510958582000 1571396925280 1616151901000 1726809808000 1823942859700 1847030744000 1964246156600 1989110032000 2042816002864 2244852750400 2279928574625 2334646860416 2417533731200 2455307695750 2553520003580 2585843041600 2806065938000 2918308575520 3021917164000 3142793850560 3191900004475 3232303802000 3647885719400 3694061488000 3928492313200 4085632005728 4489705500800 4559857149250 4910615391500 5107040007160 5171686083200 5612131876000 5836617151040 6043834328000 6285587701120 6383800008950 6464607604000 7295771438800 7856984626400 8171264011456 9119714298500 9821230783000 10214080014320 11224263752000 11673234302080 12087668656000 12767600017900 12929215208000 14591542877600 15713969252800 15959500022375 16342528022912 18239428597000 19642461566000 20428160028640 22448527504000 25535200035800 25858430416000 29183085755200 31427938505600 31919000044750 36478857194000 39284923132000 40856320057280 51070400071600 58366171510400 63838000089500 72957714388000 78569846264000 81712640114560 102140800143200 127676000179000 145915428776000 157139692528000 204281600286400 255352000358000 291830857552000 408563200572800 510704000716000 1021408001432000 2042816002864000
- Sum of all divisors σ(n): 6366300005782080
- Sum of proper divisors (its aliquot sum) s(n): 4323484002918080
- 2042816002864000 is an abundant number, because the sum of its proper divisors (4323484002918080) is greater than itself. Its abundance is 2280668000054080
Bases of 2042816002864000
- Binary: 1110100000111101110001010100011000100110011100000002
- Hexadecimal: 0x741EE2A313380
- Base-36: K448PS5Q4G
Squares and roots of 2042816002864000
- 2042816002864000 squared (20428160028640002) is 4173097221557250056202496000000
- 2042816002864000 cubed (20428160028640003) is 8524869785704445773351322229699948544000000000
-
The
square root of 2042816002864000 is 45197522.0876543187 -
The
cube root of 2042816002864000 is 126884.8441109441
Scales and comparisons
How big is 2042816002864000?- 2,042,816,002,864,000 seconds is equal to 64,955,230 years, 2 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 2,042,816,002,864,000 would take you about one hundred ninety-four million, eight hundred sixty-five thousand, six hundred ninety 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 2042816002864000 cubic inches would be around 10573.7 feet tall.
Recreational maths with 2042816002864000
- 2042816002864000 backwards is 0004682006182402
- The number of decimal digits it has is: 16
- The sum of 2042816002864000's digits is 43
- More coming soon!
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The information we have on file for 2042816002864000 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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