42378917682816
42,378,917,682,816 is an even composite number composed of eight prime numbers multiplied together.
42378917682816 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42378917682816:
27 × 33 × 11 × 13 × 31 × 61 × 137 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 31 × 61 × 137 × 331)See below for interesting mathematical facts about the number 42378917682816 from the Numbermatics database.
Names of 42378917682816
- Cardinal: 42378917682816 can be written as Forty-two trillion, three hundred seventy-eight billion, nine hundred seventeen million, six hundred eighty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2378917682816 × 1013
Factors of 42378917682816
Divisors of 42378917682816
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 61 62 64 66 72 78 88 93 96 99 104 108 117 122 124 128 132 137 143 144 156 176 183 186 192 198 208 216 234 244 248 264 274 279 286 288 297 312 331 341 351 352 366 372 384 396 403 411 416 429 432 468 488 496 528 548 549 558 572 576 594 624 662 671 682 702 704 732 744 792 793 806 822 832 837 858 864 936 976 992 993 1023 1056 1096 1098 1116 1144 1152 1188 1209 1233 1248 1287 1324 1342 1364 1404 1408 1464 1488 1507 1584 1586 1612 1644 1647 1664 1674 1716 1728 1781 1872 1891 1952 1984 1986 2013 2046 2112 2192 2196 2232 2288 2376 2379 2418 2466 2496 2574 2648 2684 2728 2808 2928 2976 2979 3014 3069 3168 3172 3224 3288 3294 3348 3432 3456 3562 3627 3641 3699 3744 3782 3861 3904 3968 3972 4026 4092 4224 4247 4303 4384 4392 4433 4464 4521 4576 4752 4758 4836 4932 4992 5148 5296 5343 5368 5456 5616 5673 5856 5952 5958 6028 6039 6138 6336 6344 6448 6576 6588 6696 6864 7124 7137 7254 7282 7398 7488 7564 7722 7808 7944 8052 8184 8357 8494 8606 8723 8768 8784 8866 8928 8937 9042 9152 9207 9504 9516 9672 9864 10261 10296 10592 10686 10736 10881 10912 10923 11232 11346 11712 11904 11916 12056 12078 12276 12672 12688 12741 12896 12909 13152 13176 13299 13392 13563 13728 14248 14274 14508 14564 14796 14976 15128 15444 15888 16029 16104 16368 16714 16988 17019 17212 17446 17536 17568 17732 17856 17874 18084 18117 18304 18414 19008 19032 19344 19591 19728 20191 20522 20592 20801 21184 21372 21411 21472 21762 21824 21846 22464 22692 23424 23832 24112 24156 24552 24583 25071 25376 25482 25792 25818 26169 26304 26352 26598 26784 27126 27456 28496 28548 29016 29128 29592 30256 30783 30888 31776 32058 32208 32736 32769 33428 33976 34038 34424 34892 35136 35464 35712 35748 36168 36234 36828 38016 38064 38223 38688 38727 39182 39456 39897 40382 40689 41044 41184 41602 42368 42744 42822 42944 43524 43648 43692 44928 45347 45384 46717 47333 47664 48087 48224 48312 49104 49166 50142 50752 50964 51057 51584 51636 52338 52608 52704 53196 53568 54252 54912 55211 56992 57096 58032 58256 58773 59184 60512 60573 61566 61776 62403 63552 64116 64416 65472 65538 66856 67952 68076 68848 69784 70272 70928 71496 72336 72468 73656 73749 75213 76128 76446 77376 77454 78364 78507 78912 79794 80764 81378 82088 82368 83204 85488 85644 85888 87048 87384 90694 90768 91927 92349 93434 94666 95328 96174 96448 96624 98208 98307 98332 100284 101504 101928 102114 103272 104676 105408 106392 107136 108504 108641 110422 112871 113984 114192 114669 116064 116181 116512 117546 118368 119691 121024 121146 123132 123552 124806 127104 128232 128832 130944 131076 133393 133712 135904 136041 136152 137696 139568 140151 141856 141999 142992 144672 144936 147312 147498 150426 152256 152892 154752 154908 156728 157014 157824 159588 161528 162756 164176 164736 165633 166408 170976 171288 174096 174768 176319 181388 181536 181719 183854 184698 186868 187209 189332 190656 192348 192896 193248 196416 196614 196664 200568 203856 204228 206544 209352 210816 212784 217008 217282 220844 221247 222101 225639 225742 227968 228384 229338 232128 232362 233024 235092 235521 236736 239382 242048 242292 246264 247104 249612 256464 257664 259067 262152 262483 266786 267424 270413 271808 272082 272304 275392 275781 277047 279136 280302 283712 283998 285984 289344 289872 294624 294996 300852 304512 305784 309816 313456 314028 319176 323056 325512 325923 328352 331266 332816 338613 341952 342576 348192 349536 352638 362776 363072 363438 367708 369396 373736 374418 378664 381312 384696 386496 392832 393228 393328 400179 401136 407712 408123 408456 413088 418704 420453 425568 425997 434016 434564 441688 442494 444202 451278 451484 456768 458676 464256 464724 466048 470184 471042 473472 478764 484584 492528 494208 496899 498817 499224 512928 518134 524304 524966 528957 533572 534848 540826 543616 544164 544608 545157 550784 551562 554094 558272 560604 561627 567424 567996 571968 578688 579744 589248 589511 589992 601704 607321 611568 619632 625921 626912 628056 638352 646112 651024 651846 656704 662532 663741 665632 666303 677226 683904 685152 696384 699072 705276 725552 726144 726876 735416 738792 747472 748836 757328 769392 772992 777201 786456 786656 787449 800358 802272 811239 815424 816246 816912 826176 827343 837408 840906 851136 851994 868032 869128 883376 884988 888404 902556 902968 913536 917352 929448 940368 942084 957528 969168 977769 985056 993798 997634 998448 1015839 1025856 1036268 1048608 1049932 1057914 1067144 1069696 1081652 1088328 1089216 1090314 1103124 1108188 1116544 1121208 1123254 1135992 1143936 1159488 1178496 1179022 1179984 1195051 1200537 1203408 1214642 1223136 1224369 1239264 1251842 1253824 1256112 1261359 1276704 1277991 1292224 1302048 1303692 1313408 1325064 1327482 1331264 1332606 1354452 1370304 1392768 1398144 1405757 1410552 1451104 1453752 1467323 1470832 1477584 1490697 1494944 1496451 1497672 1514656 1538784 1554402 1572912 1573312 1574898 1600716 1604544 1622478 1630848 1632492 1633824 1652352 1654686 1674816 1681812 1702272 1703988 1736064 1738256 1766752 1768533 1769976 1776808 1805112 1805936 1821963 1834704 1858896 1877763 1880736 1884168 1915056 1938336 1955538 1970112 1987596 1995268 1996896 1998909 2031678 2051712 2072536 2097216 2099864 2115828 2134288 2163304 2176656 2178432 2180628 2206248 2216376 2242416 2246508 2271984 2318976 2331603 2358044 2359968 2362347 2390102 2401074 2406816 2429284 2433717 2446272 2448738 2478528 2482029 2503684 2507648 2512224 2522718 2553408 2555982 2584448 2604096 2607384 2650128 2654964 2662528 2665212 2708904 2740608 2766167 2811514 2821104 2849737 2887313 2902208 2907504 2933307 2934646 2941664 2955168 2981394 2989888 2992902 2995344 3029312 3047517 3077568 3108804 3145824 3146624 3149796 3201432 3209088 3244956 3264984 3267648 3309372 3349632 3363624 3367871 3407976 3476512 3533504 3537066 3539952 3553616 3585153 3601611 3610224 3611872 3643926 3669408 3717792 3755526 3761472 3768336 3830112 3876672 3911076 3940224 3975192 3990536 3993792 3997818 4063356 4145072 4194432 4199728 4217271 4231656 4268576 4326608 4353312 4361256 4401969 4412496 4432752 4484832 4489353 4493016 4543968 4663206 4716088 4719936 4724694 4780204 4802148 4813632 4858568 4867434 4892544 4897476 4957056 4964058 5007368 5024448 5045436 5106816 5111964 5208192 5214768 5300256 5305599 5309928 5330424 5417808 5465889 5532334 5623028 5633289 5642208 5699474 5774626 5804416 5815008 5866614 5869292 5883328 5910336 5962788 5979776 5985804 5990688 5996727 6058624 6095034 6155136 6217608 6291648 6299592 6402864 6484621 6489912 6529968 6535296 6618744 6727248 6735742 6815952 6885131 6953024 6994809 7067008 7074132 7079904 7087041 7107232 7170306 7203222 7220448 7223744 7287852 7301151 7338816 7435584 7511052 7522944 7536672 7660224 7753344 7822152 7950384 7981072 7987584 7995636 8126712 8136973 8290144 8298501 8399456 8434542 8463312 8537152 8549211 8653216 8661939 8706624 8722512 8803938 8824992 8865504 8969664 8978706 8986032 9087936 9326412 9432176 9439872 9449388 9560408 9604296 9627264 9717136 9734868 9794952 9928116 10014736 10048896 10090872 10103613 10223928 10429536 10600512 10611198 10619856 10660848 10755459 10835616 10931778 11064668 11246056 11266578 11284416 11398948 11549252 11630016 11733228 11738584 11766656 11820672 11925576 11971608 11981376 11993454 12190068 12435216 12583296 12599184 12651813 12805728 12969242 12979824 13059936 13205907 13237488 13454496 13468059 13471484 13631904 13770262 13906048 13989618 14148264 14159808 14174082 14214464 14340612 14406444 14440896 14447488 14575704 14602302 14677632 14871168 15022104 15073344 15320448 15463327 15644304 15900768 15916797 15962144 15991272 16253424 16273946 16397667 16580288 16597002 16798912 16869084 16899867 16926624 17074304 17098422 17306432 17323878 17413248 17445024 17607876 17649984 17731008 17939328 17957412 17972064 18175872 18274841 18652824 18864352 18898776 19120816 19208592 19434272 19453863 19469736 19589904 19856232 20029472 20181744 20207226 20447856 20655393 20859072 21201024 21222396 21239712 21321696 21510918 21671232 21863556 22129336 22492112 22533156 22568832 22797896 23098504 23260032 23466456 23477168 23851152 23943216 23962752 23986908 24380136 24410919 24870432 24895503 25198368 25303626 25611456 25647633 25938484 25959648 25985817 26119872 26411814 26474976 26908992 26936118 26942968 27263808 27540524 27979236 28296528 28319616 28348164 28428928 28681224 28812888 28881792 29151408 29204604 30044208 30146688 30310839 30427837 30926654 31288608 31801536 31833594 31924288 31982544 32266377 32506848 32547892 32795334 33160576 33194004 33597824 33738168 33799734 33853248 34196844 34612864 34647756 34890048 35215752 35299968 35462016 35914824 35944128 35960171 36549682 37046581 37305648 37728704 37797552 37955439 38241632 38417184 38868544 38907726 38939472 39179808 39617721 39712464 40058944 40363488 40414452 40895712 41310786 41718144 42444792 42479424 42643392 43021836 43342464 43727112 44258672 44984224 45066312 45595792 46197008 46389981 46932912 46954336 47702304 47886432 47973816 48760272 48821838 49740864 49791006 50396736 50607252 51222912 51295266 51876968 51919296 51971634 52239744 52823628 52949952 53817984 53872236 53885936 54527616 54824523 55081048 55958472 56593056 56696328 57362448 57625776 58302816 58361589 58409208 60088416 60621678 60855674 61853308 61966179 62577216 63603072 63667188 63848576 63965088 64532754 65013696 65095784 65590668 66388008 67476336 67599468 67706496 68393688 69295512 69780096 70431504 71829648 71888256 71920342 73099364 73232757 74093162 74611296 74686509 75457408 75595104 75910878 76483264 76834368 76942899 77737088 77815452 77878944 77957451 78359616 79235442 79424928 80117888 80726976 80828904 81791424 82621572 84889584 84958848 85286784 85751177 86043672 87454224 88517344 89506703 89968448 90132624 90932517 91191584 91283511 92394016 92779962 93865824 93908672 95404608 95772864 95947632 97520544 97643676 99481728 99582012 100793472 101214504 102590532 103753936 103838592 103943268 105647256 105899904 107744472 107771872 107880513 109649046 110162096 111139743 111916944 113186112 113392656 114724896 115251552 116605632 116723178 116818416 120176832 121243356 121711348 123706616 123932358 125154432 127334376 127930176 129065508 130027392 130191568 131181336 132776016 134952672 135198936 136787376 138591024 139169943 140863008 143659296 143840684 146198728 146465514 148186324 149222592 149373018 151190208 151821756 152966528 153668736 153885798 155630904 155757888 155914902 156719232 158470884 158849856 161453952 161657808 163582848 164473569 165243144 169779168 171502354 172087344 174908448 175084767 177034688 179013406 179936896 180265248 181865034 182383168 182567022 184788032 185559924 185898537 187731648 187817344 190809216 191545728 191895264 195041088 195287352 199164024 201023251 202429008 205181064 207507872 207886536 211294512 215488944 215543744 215761026 219298092 219698271 220324192 222279486 223833888 226372224 226785312 229449792 230503104 233211264 233446356 233636832 240353664 242486712 243422696 247413232 247864716 254668752 255860352 257253531 258131016 260383136 262362672 265552032 268520109 269905344 270397872 273574752 273850533 277182048 278339886 281726016 287318592 287681368 292397456 292931028 296372648 298445184 298746036 302380416 303643512 307771596 311261808 311515776 311829804 316941768 317699712 323315616 323641539 328947138 330486288 333419229 339558336 343004708 344174688 349816896 350169534 354069376 358026812 360530496 363730068 364766336 365134044 369576064 371119848 371797074 375463296 383790528 390082176 390574704 395561881 398328048 402046502 404858016 410362128 415015744 415773072 417509829 422589024 430977888 431087488 431522052 438596184 439396542 440648384 444558972 447667776 453570624 458899584 461006208 466892712 467273664 484973424 486845392 493420707 494826464 495729432 509337504 514507062 516262032 520766272 524725344 531104064 537040218 539810688 540795744 547149504 547701066 554364096 556679772 563452032 574637184 575362736 584794912 585862056 592745296 597492072 603069753 607287024 615543192 622523616 623659608 633883536 646631232 647283078 657894276 660972576 666838458 679116672 686009416 688349376 699633792 700339068 716053624 721060992 727460136 730268088 742239696 743594148 767581056 771760593 781149408 791123762 796656096 804093004 805560327 809716032 820724256 821551599 830031488 831546144 835019658 845178048 861955776 863044104 877192368 878793084 881296768 889117944 895335552 907141248 933785424 934547328 943262947 969946848 970924617 973690784 986841414 989652928 991458864 1000257687 1018675008 1029014124 1032524064 1041532544 1049450688 1062208128 1074080436 1081591488 1094299008 1095402132 1108728192 1113359544 1114765301 1150725472 1169589824 1171724112 1185490592 1186685643 1194984144 1206139506 1214574048 1231086384 1245047232 1247319216 1267767072 1293262464 1294566156 1315788552 1321945152 1333676916 1372018832 1376698752 1400678136 1432107248 1454920272 1460536176 1484479392 1487188296 1543521186 1562298816 1582247524 1593312192 1608186008 1611120654 1619432064 1641448512 1643103198 1663092288 1670039316 1690356096 1723911552 1726088208 1754384736 1757586168 1778235888 1809209259 1867570848 1886525894 1939893696 1941849234 1947381568 1973682828 1979305856 1982917728 2000515374 2037350016 2058028248 2065048128 2098901376 2148160872 2163182976 2190804264 2226719088 2229530602 2301450944 2315281779 2339179648 2343448224 2370981184 2373371286 2389968288 2412279012 2416680981 2429148096 2462172768 2490094464 2494638432 2535534144 2589132312 2631577104 2643890304 2667353832 2744037664 2801356272 2829788841 2864214496 2909840544 2921072352 2968958784 2974376592 3087042372 3124597632 3164495048 3186624384 3216372016 3222241308 3282897024 3286206396 3326184576 3340078632 3344295903 3452176416 3508769472 3515172336 3556471776 3560056929 3618418518 3735141696 3773051788 3879787392 3883698468 3894763136 3947365656 3965835456 4001030748 4116056496 4130096256 4296321744 4381608528 4453438176 4459061204 4602901888 4630563558 4686896448 4741962368 4746742572 4779936576 4824558024 4833361962 4858296192 4924345536 4989276864 5071068288 5178264624 5263154208 5334707664 5427627777 5488075328 5602712544 5659577682 5728428992 5819681088 5842144704 5937917568 5948753184 6174084744 6328990096 6432744032 6444482616 6572412792 6680157264 6688591806 6904352832 7017538944 7030344672 7112943552 7120113858 7236837036 7470283392 7546103576 7767396936 7894731312 7931670912 8002061496 8232112992 8489366523 8592643488 8763217056 8906876352 8918122408 9261127116 9373792896 9493485144 9559873152 9649116048 9666723924 9848691072 9978553728 10032887709 10356529248 10526308416 10669415328 10680170787 10855255554 10976150656 11205425088 11319155364 11456857984 11639362176 11684289408 11897506368 12262418311 12348169488 12657980192 12865488064 12888965232 13144825584 13360314528 13377183612 13808705664 14060689344 14225887104 14240227716 14473674072 15092207152 15534793872 15789462624 16004122992 16464225984 16978733046 17185286976 17526434112 17813752704 17836244816 18522254232 18986970288 19298232096 19333447848 20065775418 20713058496 21052616832 21338830656 21360341574 21710511108 22410850176 22638310728 23795012736 24524836622 24696338976 25315960384 25468099569 25730976128 25777930464 26289651168 26720629056 26754367224 28121378688 28480455432 28947348144 30098663127 30184414304 31069587744 31578925248 32008245984 32928451968 33957466092 34370573952 35052868224 35672489632 36787254933 37044508464 37973940576 38596464192 38666895696 40131550836 41426116992 42677661312 42720683148 43421022216 45276621456 49049673244 49392677952 50631920768 50936199138 51555860928 52579302336 53441258112 53508734448 56960910864 57894696288 60197326254 60368828608 62139175488 63157850496 64016491968 67914932184 71344979264 73574509866 74089016928 75947881152 77192928384 77333791392 80263101672 85441366296 86842044432 90553242912 98099346488 98785355904 101872398276 103111721856 105158604672 107017468896 110361764799 113921821728 115789392576 120394652508 120737657216 124278350976 128032983936 135829864368 142689958528 147149019732 148178033856 151895762304 154667582784 160526203344 170882732592 173684088864 181106485824 196198692976 203744796552 214034937792 220723529598 227843643456 231578785152 240789305016 271659728736 294298039464 296356067712 309335165568 321052406688 331085294397 341765465184 347368177728 362212971648 392397385952 407489593104 428069875584 441447059196 455687286912 481578610032 543319457472 588596078928 642104813376 662170588794 683530930368 694736355456 784794771904 814979186208 882894118392 963157220064 1086638914944 1177192157856 1284209626752 1324341177588 1367061860736 1569589543808 1629958372416 1765788236784 1926314440128 2354384315712 2648682355176 3259916744832 3531576473568 3852628880256 4708768631424 5297364710352 7063152947136 10594729420704 14126305894272 21189458841408 42378917682816
- Sum of all divisors σ(n): 155764430438400
- Sum of proper divisors (its aliquot sum) s(n): 113385512755584
- 42378917682816 is an abundant number, because the sum of its proper divisors (113385512755584) is greater than itself. Its abundance is 71006595072768
Bases of 42378917682816
- Binary: 10011010001011000111000101010110011110100000002
- Hexadecimal: 0x268B1C559E80
- Base-36: F0SLTEAO0
Squares and roots of 42378917682816
- 42378917682816 squared (423789176828162) is 1795972663966894646781689856
- 42378917682816 cubed (423789176828163) is 76111377686840789502924686664052292714496
-
The
square root of 42378917682816 is 6509909.1915952253 -
The
cube root of 42378917682816 is 34864.4876170583
Scales and comparisons
How big is 42378917682816?- 42,378,917,682,816 seconds is equal to 1,347,518 years, 25 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,378,917,682,816 would take you about three million, three hundred sixty-eight thousand, seven hundred ninety-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 42378917682816 cubic inches would be around 2905.4 feet tall.
Recreational maths with 42378917682816
- 42378917682816 backwards is 61828671987324
- 42378917682816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42378917682816'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 42378917682816 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 42378917682816 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42378917682816/
Chicago style:
Numbermatics. 2024. "Number 42378917682816 - Facts about the integer". https://numbermatics.com/n/42378917682816/
The information we have on file for 42378917682816 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 42378917682816, math, Factors of 42378917682816, curriculum, school, college, exams, university, Prime factorization of 42378917682816, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, three hundred seventy-eight billion, nine hundred seventeen million, six hundred eighty-two thousand, eight hundred sixteen.