2138046782384142
2,138,046,782,384,142 is an even composite number composed of seven prime numbers multiplied together.
2138046782384142 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 2138046782384142:
2 × 32 × 73 × 194 × 73 × 89 × 409
(2 × 3 × 3 × 7 × 7 × 7 × 19 × 19 × 19 × 19 × 73 × 89 × 409)See below for interesting mathematical facts about the number 2138046782384142 from the Numbermatics database.
Names of 2138046782384142
- Cardinal: 2138046782384142 can be written as Two quadrillion, one hundred thirty-eight trillion, forty-six billion, seven hundred eighty-two million, three hundred eighty-four thousand, one hundred forty-two.
Scientific notation
- Scientific notation: 2.138046782384142 × 1015
Factors of 2138046782384142
Divisors of 2138046782384142
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 73 89 98 114 126 133 146 147 171 178 219 266 267 294 342 343 361 399 409 438 441 511 534 623 657 686 722 798 801 818 882 931 1022 1029 1083 1197 1227 1246 1314 1387 1533 1602 1691 1862 1869 2058 2166 2394 2454 2527 2774 2793 2863 3066 3087 3249 3382 3577 3681 3738 4161 4361 4599 5054 5073 5586 5607 5726 6174 6497 6498 6517 6859 7154 7362 7581 7771 8322 8379 8589 8722 9198 9709 10146 10731 11214 11837 12483 12994 13034 13083 13718 15162 15219 15542 16758 17178 17689 19418 19491 19551 20041 20577 21462 22743 23313 23674 24966 25039 25767 26166 26353 29127 29857 30438 30527 32129 32193 35378 35511 36401 38982 39102 39249 40082 41154 45479 45486 46626 48013 50078 51534 52706 53067 54397 58254 58473 58653 59714 60123 61054 61731 64258 64386 67963 69939 71022 72802 75117 78498 79059 82859 87381 89571 90958 91581 96026 96387 106134 106533 108794 109203 116946 117306 120246 123443 123462 123823 130321 135926 136437 139878 140287 144039 147649 150234 158118 159201 163191 165718 174762 179142 180369 183162 184471 192774 203889 208999 213066 218406 224903 225351 237177 246886 247646 248577 254807 260642 268713 272874 274743 280574 288078 289161 295298 318353 318402 326382 327609 336091 360738 368942 370329 371469 380779 390963 407778 409311 417998 420861 432117 442947 449806 450702 474354 475741 489573 497154 500707 509614 537426 549486 553413 567283 578322 580013 610451 611667 626997 636706 655218 672182 674709 691619 740658 742938 745731 761558 764421 781926 818622 841722 864101 864234 885894 912247 951482 955059 979146 1001414 1008273 1033543 1106826 1110987 1114407 1134566 1142337 1160026 1172889 1220902 1223334 1253994 1262583 1291297 1328841 1349418 1383238 1427223 1462993 1491462 1502121 1528842 1574321 1660239 1701849 1728202 1740039 1783649 1824494 1831353 1880991 1910118 2016546 2024127 2067086 2074857 2221974 2228471 2228814 2284674 2293263 2345417 2345778 2352637 2525166 2582594 2592303 2657273 2657682 2665453 2736741 2805331 2854446 2865177 2925986 3004242 3024819 3100629 3148642 3320478 3403698 3427011 3480078 3504949 3567298 3662706 3761982 3873891 3970981 4048254 4149714 4273157 4281669 4388979 4456942 4506363 4586526 4690834 4705274 4722963 4841333 5105547 5184606 5220117 5314546 5330906 5350947 5473482 5494059 5610662 5730354 6048707 6049638 6201258 6224571 6385729 6685413 6854022 7009898 7036251 7057911 7234801 7747782 7776909 7941962 7971819 7996359 8210223 8415993 8546314 8563338 8777958 9012726 9039079 9301887 9445926 9513433 9682666 10211094 10240951 10440234 10514847 10701894 10778377 10988118 11020247 11598569 11621673 11912943 12097414 12449142 12485543 12771458 12819471 13140761 13166937 13370826 14072502 14115822 14168889 14469602 14523999 15553818 15943638 15992718 16052841 16417919 16420446 16831986 18078158 18146121 18600911 18603774 19026866 19157187 19637317 20056239 20481902 21029694 21108753 21173733 21556754 21704403 22040494 23197138 23243346 23825886 23915457 23989077 24534643 24971086 25247979 25638942 26281522 26333874 27117237 27796867 28337778 28540299 29047998 29912099 30722853 31544541 32105682 32335131 32835838 33060741 33889331 34795707 35738829 36292242 37201822 37456629 38314374 38458413 39274634 39422283 40112478 42217506 42340949 42347466 43408806 43571997 44562923 44700103 47830914 47978154 49069286 49253757 50488187 50495958 50643607 53301289 54234474 54438363 55593734 55802733 57080598 57471561 58911951 59824198 61445706 63089082 64670262 65113209 66121482 66594031 67778662 69591414 71477658 73603929 74913258 75448639 76916826 78844566 81189983 81351711 83390601 84681898 85620897 87143994 89125846 89400206 89736297 91985327 92168559 97005393 98507514 99182223 100976374 101287214 101667993 104387121 106602578 108876726 111605466 112369887 114925433 114943122 117823902 118266849 127022847 130206377 130226418 133188062 133688769 134100309 137461219 147207858 147761271 150897278 151464561 151930821 159903867 162379966 162703422 166781202 167408199 171241794 171742501 176735853 179472594 183970654 184337118 194010786 194578069 198364446 199782093 203335986 204789163 208774242 209384693 220811787 224739774 226345917 229850866 236533698 237225317 243569949 249674459 250171803 254045694 260412754 267377538 268200618 269208891 274922438 275955981 295522542 302929122 303861642 305003979 311940461 319807734 334816398 343485002 344776299 353417309 353471706 373109023 381068541 389156138 390619131 399564186 401066307 402300927 409578326 412383657 418769386 441623574 452691834 454393683 455792463 466158217 474450634 479711601 487139898 499348918 500343606 515227503 528140473 538417782 551911962 568329881 583734207 599346279 610007958 614367489 623880922 628154079 643897289 679037751 689552598 706834618 711675951 730709847 746218046 749023377 762137082 781238262 802132614 804478031 804601854 824767314 827867943 846695537 908787366 911444639 911584926 932316434 935821383 959275553 959423202 962228533 1030455006 1034328897 1056280946 1060251927 1119327069 1136659762 1167468414 1171857393 1198692558 1228734978 1237150971 1256308158 1287794578 1358075502 1398474651 1423351902 1433524141 1461419694 1498046754 1545682509 1584421419 1608956062 1655735886 1693391074 1704989643 1747721213 1751202621 1822889278 1843102467 1871642766 1884462237 1918551106 1924457066 1931691867 2068657794 2120503854 2135027853 2183583227 2238654138 2247070131 2343714786 2413434093 2473921163 2474301942 2540086611 2611763161 2734333917 2796949302 2807464149 2867048282 2877826659 2886685599 3091365018 3168842838 3180755781 3263107519 3357981207 3409979286 3495442426 3502405242 3686204934 3696983311 3768924474 3863383734 3890994097 3978309167 4195423953 4270055706 4300572423 4367166454 4494140262 4507281023 4743814721 4753264257 4826868186 4947842326 5080173222 5114968929 5223526322 5243163639 5468667834 5614928298 5755653318 5773371198 5795075601 5926868759 6361511562 6526215038 6550749681 6714928871 6715962414 7240302279 7393966622 7421763489 7620259833 7781988194 7835289483 7956618334 8203001751 8390847906 8601144846 8633479977 8660056797 9014562046 9487629442 9506528514 9789322557 10034668987 10229937858 10486327278 11090949933 11590151202 11672982291 11853737518 11934927501 12234048491 12901717269 13101499362 13429857742 13521843069 14231444163 14480604558 14843526978 15240519666 15285082589 15670578966 15729490917 16406003502 17266959954 17317448141 17320113594 17780606277 18226235507 18282342127 19578645114 19652249043 20069337974 20144786613 22181899866 22265290467 23345964582 23505868449 23869855002 24468096982 25803434538 27043686138 27236958679 28462888326 29367967671 30104006961 30570165178 31458981834 33206703047 33272849799 34634896282 35018946873 35561212554 35804782503 36452471014 36564684254 36702145473 39304498086 40289573226 40565529207 41488081313 42694332489 44530580934 45855247767 47004502097 47011736898 51952344423 53341818831 54473917358 54678706521 54847026381 58735935342 60208013922 60434359839 66413406094 66545699598 70037893746 70242682909 71609565006 73404290946 81131058414 81710876037 82976162626 85388664978 85638339437 90312020883 91710495534 94009004194 99620109141 103904688846 106683637662 109357413042 109694052762 110106436419 120868719678 124464243939 127583648549 137565743301 140485365818 141013506291 155857033269 163421752074 164036119563 164541079143 171276678874 180624041766 190658710753 199240218282 210728048727 220212872838 232446921329 245132628111 248928487878 255167297098 256915018311 275131486602 282027012582 290416569191 298860327423 311714066538 328072239126 329031514679 329082158286 346298474633 373392731817 381317421506 382750945647 421456097454 423040518873 464893842658 490265256222 513830036622 571976132259 580833138382 597720654846 632184146181 658063029358 692596949266 697340763987 746785463634 765501891294 770745054933 846081037746 871249707573 893085539843 987094544037 1038895423899 1143952264518 1148252836941 1264368292362 1334610975271 1394681527974 1541490109866 1627128449303 1715928396777 1742499415146 1786171079686 1974189088074 2077790847798 2092022291961 2296505673882 2424089322431 2613749122719 2669221950542 2679256619529 2961283632111 3116686271697 3254256898606 3431856793554 4003832925813 4184044583922 4848178644862 4881385347909 5227498245438 5358513239058 5922567264222 6233372543394 6251598778901 7272267967293 8007665851626 8037769858587 9762770695818 12011498777439 12503197557802 14544535934586 14644156043727 16075539717174 16968625257017 18754796336703 21816803901879 24022997554878 29288312087454 33937250514034 37509592673406 43633607803758 50905875771051 56264389010109 101811751542102 112528778020218 118780376799119 152717627313153 237560753598238 305435254626306 356341130397357 712682260794714 1069023391192071 2138046782384142
- Sum of all divisors σ(n): 5859735438960000
- Sum of proper divisors (its aliquot sum) s(n): 3721688656575858
- 2138046782384142 is an abundant number, because the sum of its proper divisors (3721688656575858) is greater than itself. Its abundance is 1583641874191716
Bases of 2138046782384142
- Binary: 1111001100010001010110011101111101000101000000011102
- Hexadecimal: 0x7988ACEFA280E
- Base-36: L1VH4RHZBI
Squares and roots of 2138046782384142
- 2138046782384142 squared (21380467823841422) is 4571244043663182658009653076164
- 2138046782384142 cubed (21380467823841423) is 9773533619046742003256607597041985256231791288
-
The
square root of 2138046782384142 is 46239017.9651789535 -
The
cube root of 2138046782384142 is 128826.6562304475
Scales and comparisons
How big is 2138046782384142?- 2,138,046,782,384,142 seconds is equal to 67,983,274 years, 13 weeks, 6 days, 3 hours, 35 minutes, 42 seconds.
-
To count from 1 to 2,138,046,782,384,142 would take you about two hundred three million, nine hundred forty-nine thousand, eight hundred twenty-two 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 2138046782384142 cubic inches would be around 10735.6 feet tall.
Recreational maths with 2138046782384142
- 2138046782384142 backwards is 2414832876408312
- 2138046782384142 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2138046782384142's digits is 63
- More coming soon!
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The information we have on file for 2138046782384142 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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