2042142979968
2,042,142,979,968 is an even composite number composed of seven prime numbers multiplied together.
2042142979968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 2042142979968:
27 × 35 × 7 × 132 × 19 × 23 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 19 × 23 × 127)See below for interesting mathematical facts about the number 2042142979968 from the Numbermatics database.
Names of 2042142979968
- Cardinal: 2042142979968 can be written as Two trillion, forty-two billion, one hundred forty-two million, nine hundred seventy-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.042142979968 × 1012
Factors of 2042142979968
Divisors of 2042142979968
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 23 24 26 27 28 32 36 38 39 42 46 48 52 54 56 57 63 64 69 72 76 78 81 84 91 92 96 104 108 112 114 117 126 127 128 133 138 144 152 156 161 162 168 169 171 182 184 189 192 207 208 216 224 228 234 243 247 252 254 266 273 276 288 299 304 312 322 324 336 338 342 351 364 368 378 381 384 399 414 416 432 437 448 456 468 483 486 494 504 507 508 513 532 546 552 567 576 598 608 621 624 644 648 672 676 684 702 728 736 741 756 762 798 819 828 832 864 874 889 896 897 912 936 966 972 988 1008 1014 1016 1026 1053 1064 1092 1104 1134 1143 1152 1183 1196 1197 1216 1242 1248 1288 1296 1311 1344 1352 1368 1404 1449 1456 1472 1482 1512 1521 1524 1539 1596 1638 1651 1656 1664 1701 1728 1729 1748 1778 1794 1824 1863 1872 1932 1944 1976 2016 2028 2032 2052 2093 2106 2128 2184 2208 2223 2268 2286 2366 2392 2394 2413 2432 2457 2484 2496 2576 2592 2622 2667 2688 2691 2704 2736 2808 2898 2912 2921 2944 2964 3024 3042 3048 3059 3078 3159 3192 3211 3276 3302 3312 3402 3429 3456 3458 3496 3549 3556 3588 3591 3648 3726 3744 3864 3887 3888 3933 3952 4032 4056 4064 4104 4186 4212 4256 4347 4368 4416 4446 4536 4563 4572 4617 4732 4784 4788 4826 4914 4953 4968 4992 5152 5184 5187 5244 5334 5382 5408 5472 5589 5616 5681 5796 5824 5842 5928 6048 6084 6096 6118 6156 6279 6318 6384 6422 6552 6604 6624 6669 6804 6858 6916 6992 7098 7112 7176 7182 7239 7296 7371 7452 7488 7728 7774 7776 7866 7904 8001 8064 8073 8112 8128 8208 8372 8424 8512 8694 8736 8763 8832 8892 9072 9126 9144 9177 9234 9464 9568 9576 9633 9652 9828 9906 9936 10287 10304 10368 10374 10488 10647 10668 10764 10773 10816 10944 11178 11232 11362 11557 11592 11648 11661 11684 11799 11856 12096 12168 12192 12236 12312 12558 12636 12768 12844 13041 13104 13208 13248 13338 13608 13689 13716 13832 13984 14196 14224 14352 14364 14478 14742 14859 14904 14976 15456 15548 15552 15561 15732 15808 16002 16146 16224 16256 16416 16744 16848 16891 17024 17043 17388 17472 17526 17784 18144 18252 18288 18354 18468 18837 18928 19136 19152 19266 19304 19656 19812 19872 20007 20447 20574 20608 20748 20976 21294 21336 21463 21528 21546 21632 21717 21888 22113 22356 22464 22477 22724 23114 23184 23322 23368 23598 23712 24003 24192 24219 24336 24384 24472 24624 25116 25272 25536 25688 26082 26208 26289 26416 26496 26676 27209 27216 27378 27432 27531 27664 27968 28392 28448 28704 28728 28899 28956 29484 29718 29808 30861 30912 31096 31104 31122 31369 31464 31616 31941 32004 32292 32319 32448 32832 33488 33696 33782 34086 34671 34776 34944 34983 35052 35397 35568 36288 36504 36576 36708 36936 37674 37856 37973 38272 38304 38532 38608 39123 39312 39624 39744 39767 40014 40894 41067 41148 41496 41952 42588 42672 42926 43056 43092 43434 44226 44577 44712 44928 44954 45448 46228 46368 46644 46683 46736 47196 47424 48006 48438 48672 48768 48944 49248 50232 50544 50673 51072 51129 51376 52164 52416 52578 52832 53352 54418 54432 54756 54864 55062 55328 55499 55936 56511 56784 56896 57408 57456 57798 57912 58968 59436 59616 60021 61341 61722 61824 62192 62244 62738 62928 63882 64008 64389 64584 64638 64896 65151 65664 66976 67392 67431 67564 68172 69342 69552 69966 70104 70794 71136 72009 72576 72657 73008 73152 73416 73853 73872 75348 75712 75946 76608 77064 77216 78246 78624 78867 79248 79488 79534 80028 81627 81788 82134 82296 82593 82992 83904 85176 85344 85852 86112 86184 86697 86868 88452 89154 89424 89908 90896 92456 92736 93288 93366 93472 94107 94392 94848 95823 96012 96876 97344 97888 98496 100464 101088 101346 102258 102752 104013 104328 104832 104949 105156 105664 106191 106704 108836 108864 109512 109728 110124 110656 110998 113022 113568 113792 113919 114816 114912 115596 115824 117936 118872 119232 119301 120042 122682 123444 124384 124488 125476 125856 127764 128016 128778 129168 129276 130302 133731 133952 134784 134862 135128 136344 138684 139104 139932 140049 140208 141588 142272 144018 145314 146016 146304 146832 147706 147744 150241 150696 151424 151892 152019 153216 153387 154128 154432 156492 157248 157734 158496 159068 160056 163254 163576 164268 164592 165186 165984 166497 167808 169533 170352 170688 171704 172224 172368 173394 173736 176904 178308 178848 179816 181792 184023 184912 185472 186576 186732 186944 188214 188784 191646 192024 193167 193752 194688 195453 195776 196992 200928 202176 202293 202692 204516 205504 208026 208656 209898 210312 211328 212382 213408 216027 217672 217728 219024 219456 219583 220248 221312 221559 221996 226044 227136 227838 229824 231192 231648 235872 236601 237744 238464 238602 240084 244881 245364 246888 247779 248768 248976 250952 251712 255528 256032 257556 258336 258552 260091 260604 265811 267462 267904 269724 270256 272688 277368 278208 279864 280098 280416 282321 283176 284544 287469 288036 290628 292032 293664 295412 295488 300482 301392 303784 304038 306774 308256 308864 312039 312984 314496 314847 315468 316992 318136 320112 326508 327152 328536 329184 330372 331968 332994 339066 340704 341376 341757 343408 344448 344736 346788 347472 353808 356616 357696 357903 359632 363584 368046 369824 373152 373464 373888 376428 377568 383292 384048 386334 387504 388493 390906 391552 401193 401856 404352 404586 405384 407797 409032 411008 416052 417312 419796 420147 420624 424764 426816 432054 435344 438048 438912 439166 440496 443118 443992 450723 452088 454272 455676 456057 459648 460161 462384 463296 471744 473202 475488 477204 480168 489762 490728 493649 493776 495558 497536 497952 499491 501904 503424 508599 511056 512064 515112 516672 516971 517104 520182 521208 531622 534924 539448 540512 545376 552069 554736 556416 559728 560196 560832 564642 566352 574938 576072 579501 581256 584064 586359 587328 590824 590976 600964 602784 606879 607568 608076 613548 616512 624078 625968 629694 630936 633984 636272 640224 653016 654304 657072 658368 658749 660744 663936 664677 665988 678132 681408 683514 686816 689472 693576 694944 707616 709803 713232 715392 715806 719264 721487 727168 734643 736092 739648 743337 746304 746928 752856 755136 766584 768096 772668 775008 776986 780273 781812 797433 802386 803712 809172 810768 815594 818064 832104 834624 839592 840294 841248 846963 849528 853632 864108 870688 876096 878332 880992 886236 887984 901446 904176 911352 912114 920322 924768 926592 936117 943488 944541 946404 950976 954408 960336 979524 981456 987298 987552 991116 995904 998982 1003808 1017198 1022112 1024128 1025271 1030224 1033344 1033942 1034208 1040364 1042416 1063244 1069848 1073709 1078896 1081024 1090752 1104138 1109472 1119456 1120392 1121664 1129284 1132704 1149876 1152144 1159002 1162512 1165479 1172718 1174656 1181648 1201928 1205568 1213758 1215136 1216152 1223391 1227096 1233024 1248156 1251936 1259388 1261872 1272544 1280448 1306032 1308608 1314144 1316736 1317498 1321488 1329354 1331976 1352169 1356264 1362816 1367028 1368171 1373632 1378944 1380483 1387152 1389888 1415232 1419606 1426464 1431612 1438528 1442974 1469286 1472184 1479296 1480947 1486674 1492608 1493856 1498473 1505712 1510272 1533168 1536192 1545336 1550016 1550913 1553972 1560546 1563624 1594866 1604772 1618344 1621536 1631188 1636128 1656207 1664208 1669248 1679184 1680588 1682496 1693926 1699056 1728216 1738503 1741376 1752192 1756664 1761984 1772472 1775968 1802892 1808352 1820637 1822704 1824228 1840644 1849536 1872234 1889082 1892808 1901952 1908816 1920672 1959048 1962912 1974596 1975104 1976247 1982232 1991808 1994031 1997964 2007616 2034396 2044224 2050542 2060448 2067884 2068416 2080728 2084832 2126488 2139696 2147418 2157792 2162048 2164461 2181504 2203929 2208276 2218944 2238912 2240784 2258568 2265408 2299752 2304288 2318004 2325024 2330958 2345436 2363296 2392299 2403856 2411136 2427516 2430272 2432304 2446782 2454192 2496312 2503872 2518776 2523744 2540889 2545088 2560896 2612064 2617216 2628288 2634996 2642976 2658708 2663952 2704338 2712528 2734056 2736342 2747264 2760966 2774304 2779776 2808351 2830464 2839212 2852928 2854579 2863224 2877056 2885948 2938572 2944368 2961894 2973348 2987712 2996946 3011424 3066336 3072384 3075813 3090672 3100032 3101826 3107944 3121092 3127248 3189732 3209544 3221127 3236688 3243072 3262376 3272256 3312414 3328416 3358368 3361176 3364992 3387852 3398112 3455543 3456432 3477006 3482752 3496437 3513328 3523968 3544944 3551936 3605784 3616704 3641274 3645408 3648456 3670173 3681288 3699072 3744468 3778164 3785616 3817632 3841344 3918096 3925824 3949192 3950208 3952494 3964464 3988062 3995928 4015232 4056507 4068792 4088448 4101084 4104513 4120896 4135768 4136832 4161456 4169664 4252976 4279392 4294836 4315584 4328922 4407858 4416552 4437888 4442841 4477824 4481568 4495419 4517136 4530816 4599504 4608576 4636008 4650048 4652739 4661916 4690872 4726592 4784598 4807712 4855032 4860544 4864608 4893564 4908384 4968621 4992624 5007744 5037552 5047488 5050409 5081778 5090176 5215509 5224128 5256576 5269992 5285952 5317416 5327904 5408676 5425056 5461911 5468112 5472684 5521932 5548608 5616702 5678424 5705856 5709158 5726448 5771896 5877144 5888736 5923788 5928741 5946696 5975424 5982093 5993892 6022848 6132672 6151626 6181344 6203652 6215888 6242184 6254496 6379464 6419088 6442254 6473376 6486144 6493383 6524752 6544512 6611787 6624828 6656832 6716736 6722352 6775704 6796224 6911086 6912864 6954012 6992874 7026656 7089888 7103872 7176897 7211568 7233408 7282548 7290816 7296912 7340346 7362576 7488936 7556328 7571232 7622667 7635264 7682688 7836192 7851648 7898384 7904988 7928928 7976124 7991856 8113014 8137584 8202168 8209026 8241792 8271536 8322912 8339328 8505952 8558784 8563737 8589672 8631168 8657844 8815716 8833104 8885682 8963136 8990838 9034272 9199008 9217152 9227439 9272016 9300096 9305478 9323832 9379331 9381744 9453184 9569196 9615424 9663381 9710064 9729216 9787128 9816768 9937242 9985248 10075104 10094976 10100818 10163556 10366629 10431018 10448256 10489311 10539984 10571904 10634832 10655808 10817352 10850112 10923822 10936224 10945368 11010519 11043864 11097216 11233404 11356848 11418316 11452896 11543792 11754288 11777472 11847576 11857482 11893392 11964186 11987784 12045696 12169521 12265344 12303252 12362688 12407304 12431776 12484368 12508992 12758928 12838176 12884508 12946752 12986766 13049504 13223574 13249656 13313664 13328523 13433472 13444704 13486257 13551408 13592448 13822172 13825728 13908024 13958217 13985748 14053312 14179776 14353794 14423136 14565096 14581632 14593824 14680692 14725152 14977872 15112656 15142464 15151227 15245334 15270528 15672384 15796768 15809976 15857856 15952248 15983712 16226028 16275168 16404336 16418052 16543072 16645824 17011904 17117568 17127474 17179344 17315688 17631432 17666208 17771364 17786223 17926272 17946279 17981676 18068544 18398016 18454878 18544032 18610956 18647664 18758662 18763488 19138392 19230848 19326762 19420128 19458432 19480149 19574256 19633536 19874484 19970496 20150208 20201636 20327112 20733258 20862036 20978622 21079968 21269664 21311616 21530691 21634704 21700224 21847644 21872448 21890736 22021038 22087728 22466808 22713696 22836632 22905792 23087584 23508576 23554944 23695152 23714964 23786784 23928372 23975568 24339042 24606504 24725376 24814608 24863552 24968736 25017984 25517856 25676352 25691211 25769016 25893504 25973532 26099008 26447148 26499312 26657046 26889408 26972514 27102816 27644344 27651456 27816048 27916434 27971496 28106624 28137993 28359552 28707588 28846272 29130192 29187648 29361384 29450304 29955744 30225312 30284928 30302454 30490668 31099887 31344768 31467933 31593536 31619952 31715712 31904496 31967424 32452056 32550336 32808672 32836104 33031557 33086144 33291648 34023808 34254948 34358688 34631376 35262864 35332416 35542728 35572446 35892558 35963352 36137088 36508563 36796032 36909756 37088064 37221912 37295328 37517324 37526976 38276784 38653524 38840256 38960298 39148512 39748968 39940992 39985569 40300416 40403272 40654224 41466516 41724072 41874651 41957244 42159936 42539328 43061382 43269408 43695288 43744896 43781472 44042076 44175456 44933616 45427392 45453681 45673264 45811584 46175168 47017152 47390304 47429928 47573568 47856744 47951136 48678084 49213008 49629216 49727104 49937472 51035712 51352704 51382422 51538032 51947064 52198016 52894296 52998624 53314092 53358669 53778816 53945028 54205632 55288688 55632096 55832868 55942992 56275986 57415176 57692544 58260384 58375296 58440447 58722768 58900608 59911488 60450624 60604908 60981336 62199774 62935866 63187072 63239904 63808992 63934848 64592073 64904112 65100672 65617344 65655317 65672208 66063114 66172288 68509896 68717376 69262752 70525728 70664832 71085456 71144892 71785116 71926704 73017126 73819512 74176128 74443824 74590656 75034648 75053952 76553568 77073633 77307048 77680512 77920596 78297024 79497936 79971138 80806544 81308448 82933032 83448144 83749302 83914488 84319872 84413979 85078656 86122764 86538816 87390576 87562944 88084152 88350912 89867232 90854784 90907362 91346528 92350336 93299661 94034304 94403799 94780608 94859856 95147136 95713488 95902272 97356168 98426016 99094671 99258432 99874944 102071424 102764844 103076064 103894128 105788592 105997248 106628184 106717338 107890056 108411264 110577376 111264192 111665736 111885984 112551972 114830352 116520768 116880894 117445536 119822976 119956707 120901248 121209816 121962672 124399548 125623953 125871732 126479808 127617984 129184146 129808224 131234688 131310634 131344416 132126228 136361043 137019792 137434752 138525504 141051456 142170912 142289784 143570232 143853408 146034252 147639024 148887648 149181312 150069296 153107136 154147266 154614096 155841192 156594048 158995872 159942276 161613088 162616896 165866064 166896288 167498604 167828976 168827958 172245528 173077632 174781152 175125888 175321341 176168304 176701824 179734464 181814724 182693056 186599322 188807598 189561216 189719712 191426976 191804544 194712336 196852032 196965951 198189342 198516864 205529688 206152128 207788256 211577184 211994496 213256368 213434676 215780112 221154752 222528384 223331472 223771968 225103944 229660704 231220899 233041536 233761788 234891072 239913414 242419632 243925344 248799096 251247906 251743464 252959616 253241937 255235968 258368292 259616448 262621268 262688832 264252456 272722086 274039584 277051008 279898983 282102912 284341824 284579568 287140464 287706816 292068504 295278048 297775296 300138592 306214272 308294532 309228192 311682384 317991744 319884552 323226176 325233792 331732128 333792576 334997208 335657952 337655916 344491056 349562304 350642682 352336608 359468928 363629448 365386112 373198644 377615196 379439424 382853952 389424672 393704064 393931902 396378684 409083129 411059376 412304256 415576512 423154368 426512736 426869352 431560224 442309504 446662944 447543936 450207888 459321408 462441798 467523576 469782144 479826828 484839264 487850688 497598192 502495812 503486928 506483874 516736584 519232896 525242536 525377664 528504912 545444172 548079168 559797966 568683648 569159136 574280928 575413632 584137008 590556096 590897853 595550592 600277184 616589064 618456384 623364768 635983488 639769104 646452352 663464256 667585152 669994416 671315904 675311832 688982112 693662697 699124608 701285364 704673216 727258896 746397288 755230392 758878848 759725811 765707904 778849344 787863804 792757368 818166258 822118752 831153024 839696949 846308736 853025472 853738704 863120448 893325888 900415776 918642816 924883596 935047152 959653656 969678528 975701376 995196384 1004991624 1006973856 1012967748 1033473168 1050485072 1057009824 1090888344 1096158336 1119595932 1138318272 1148561856 1168274016 1181112192 1181795706 1200554368 1227249387 1233178128 1236912768 1246729536 1279538208 1326928512 1339988832 1342631808 1350623664 1377964224 1387325394 1402570728 1409346432 1454517792 1492794576 1510460784 1519451622 1557698688 1575727608 1585514736 1636332516 1644237504 1679393898 1706050944 1707477408 1726240896 1772693559 1786651776 1800831552 1849767192 1870094304 1919307312 1939357056 1990392768 2009983248 2013947712 2025935496 2066946336 2100970144 2114019648 2181776688 2239191864 2276636544 2279177433 2297123712 2336548032 2363591412 2454498774 2466356256 2493459072 2559076416 2679977664 2701247328 2755928448 2774650788 2805141456 2909035584 2985589152 3020921568 3038903244 3151455216 3171029472 3272665032 3288475008 3358787796 3414954816 3545387118 3601663104 3699534384 3740188608 3838614624 3980785536 4019966496 4027895424 4051870992 4133892672 4201940288 4228039296 4363553376 4478383728 4558354866 4673096064 4727182824 4908997548 4932712512 5118152832 5318080677 5359955328 5402494656 5549301576 5610282912 5818071168 5971178304 6041843136 6077806488 6302910432 6342058944 6545330064 6717575592 6829909632 7090774236 7399068768 7480377216 7677229248 8039932992 8103741984 8267785344 8403880576 8727106752 8956767456 9116709732 9454365648 9817995096 9865425024 10636161354 10804989312 11098603152 11220565824 11942356608 12083686272 12155612976 12605820864 12684117888 13090660128 13435151184 14181548472 14798137536 15354458496 15954242031 16079865984 16207483968 17454213504 17913534912 18233419464 18908731296 19635990192 21272322708 22197206304 22441131648 24311225952 25211641728 26181320256 26870302368 28363096944 29596275072 31908484062 32414967936 35827069824 36466838928 37817462592 39271980384 42544645416 44394412608 48622451904 52362640512 53740604736 56726193888 63816968124 72933677856 75634925184 78543960768 85089290832 88788825216 97244903808 107481209472 113452387776 127633936248 145867355712 157087921536 170178581664 226904775552 255267872496 291734711424 340357163328 510535744992 680714326656 1021071489984 2042142979968
- Sum of all divisors σ(n): 8348988211200
- Sum of proper divisors (its aliquot sum) s(n): 6306845231232
- 2042142979968 is an abundant number, because the sum of its proper divisors (6306845231232) is greater than itself. Its abundance is 4264702251264
Bases of 2042142979968
- Binary: 111011011011110010011010011110111100000002
- Hexadecimal: 0x1DB7934F780
- Base-36: Q25B7C00
Squares and roots of 2042142979968
- 2042142979968 squared (20421429799682) is 4170347950632583249281024
- 2042142979968 cubed (20421429799683) is 8516446791408265307364590544834527232
-
The
square root of 2042142979968 is 1429035.6818386307 -
The
cube root of 2042142979968 is 12687.0908154397
Scales and comparisons
How big is 2042142979968?- 2,042,142,979,968 seconds is equal to 64,933 years, 43 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 2,042,142,979,968 would take you about one hundred sixty-two thousand, three hundred thirty-four 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 2042142979968 cubic inches would be around 1057.3 feet tall.
Recreational maths with 2042142979968
- 2042142979968 backwards is 8699792412402
- 2042142979968 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2042142979968's digits is 63
- 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 2042142979968 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 2042142979968 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/2042142979968/
Chicago style:
Numbermatics. 2024. "Number 2042142979968 - Facts about the integer". https://numbermatics.com/n/2042142979968/
The information we have on file for 2042142979968 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 2042142979968, math, Factors of 2042142979968, curriculum, school, college, exams, university, Prime factorization of 2042142979968, STEM, science, technology, engineering, physics, economics, calculator, two trillion, forty-two billion, one hundred forty-two million, nine hundred seventy-nine thousand, nine hundred sixty-eight.