242014905340416
242,014,905,340,416 is an even composite number composed of six prime numbers multiplied together.
242014905340416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 242014905340416:
29 × 38 × 13 × 19 × 31 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 31 × 97 × 97)See below for interesting mathematical facts about the number 242014905340416 from the Numbermatics database.
Names of 242014905340416
- Cardinal: 242014905340416 can be written as Two hundred forty-two trillion, fourteen billion, nine hundred five million, three hundred forty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 2.42014905340416 × 1014
Factors of 242014905340416
Divisors of 242014905340416
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 64 72 76 78 81 93 96 97 104 108 114 117 124 128 144 152 156 162 171 186 192 194 208 216 228 234 243 247 248 256 279 288 291 304 312 324 342 351 372 384 388 403 416 432 456 468 486 494 496 512 513 558 576 582 589 608 624 648 684 702 729 741 744 768 776 806 832 837 864 873 912 936 972 988 992 1026 1053 1116 1152 1164 1178 1209 1216 1248 1261 1296 1368 1404 1458 1482 1488 1536 1539 1552 1612 1664 1674 1728 1746 1767 1824 1843 1872 1944 1976 1984 2052 2106 2187 2223 2232 2304 2328 2356 2418 2432 2496 2511 2522 2592 2619 2736 2808 2916 2964 2976 3007 3078 3104 3159 3224 3328 3348 3456 3492 3534 3627 3648 3686 3744 3783 3888 3952 3968 4104 4212 4374 4446 4464 4608 4617 4656 4712 4836 4864 4992 5022 5044 5184 5238 5301 5472 5529 5616 5832 5928 5952 6014 6156 6208 6318 6448 6561 6656 6669 6696 6912 6984 7068 7254 7296 7372 7488 7533 7566 7657 7776 7857 7904 7936 8208 8424 8748 8892 8928 9021 9234 9312 9409 9424 9477 9672 9728 9984 10044 10088 10368 10476 10602 10881 10944 11058 11232 11349 11664 11856 11904 12028 12312 12416 12636 12896 13122 13338 13392 13824 13851 13968 14136 14508 14592 14744 14976 15066 15132 15314 15552 15714 15808 15872 15903 16416 16587 16848 17496 17784 17856 18042 18468 18624 18818 18848 18954 19344 19968 20007 20088 20176 20736 20952 21204 21762 21888 22116 22464 22599 22698 22971 23328 23571 23712 23808 23959 24056 24624 24832 25272 25792 26244 26676 26784 27063 27702 27936 28227 28272 28431 29016 29184 29488 29952 30132 30264 30628 31104 31428 31616 31806 32643 32832 33174 33696 34047 34992 35568 35712 36084 36936 37248 37636 37696 37908 38688 39091 40014 40176 40352 41472 41553 41904 42408 43524 43776 44232 44928 45198 45396 45942 46656 47142 47424 47616 47709 47918 48112 49248 49664 49761 50544 51584 52488 53352 53568 54126 55404 55872 56454 56544 56862 57133 58032 58976 59904 60021 60264 60528 61256 62208 62856 63232 63612 65286 65664 66348 67392 67797 68094 68913 69984 70713 71136 71424 71877 72168 73872 74496 75272 75392 75816 77376 78182 80028 80352 80704 81189 83106 83808 84681 84816 85293 87048 87552 88464 89856 90396 90792 91884 93312 94284 94848 95418 95836 96224 97929 98496 99522 101088 102141 103168 104976 106704 107136 108252 110808 111744 112908 113088 113724 114266 116064 117273 117952 120042 120528 121056 122317 122512 124416 124659 125712 126464 127224 130572 131328 132696 134784 135594 136188 137826 139968 141426 142272 142848 143127 143754 144336 147744 148992 149283 150544 150784 151632 154752 156364 160056 160704 161408 162378 166212 167616 169362 169632 170586 171399 174096 176928 178771 179712 180063 180792 181584 183768 186624 188568 189696 190836 191672 192448 195858 196992 199044 202176 203391 204282 206336 206739 209952 212139 213408 214272 215631 216504 221616 223488 225816 226176 227448 228532 232128 234546 235904 240084 241056 242112 243567 244634 245024 249318 251424 254043 254448 261144 262656 265392 269568 271188 272376 275652 279936 282852 284544 286254 287508 288672 291679 293787 295488 298566 301088 301568 303264 306423 309504 312728 320112 321408 322816 324756 332424 335232 338724 339264 341172 342798 348192 351819 353856 357542 360126 361584 363168 366951 367536 373248 377136 379392 381672 383344 384896 391716 393984 398088 404352 406782 408564 413478 419904 424278 426816 428544 429381 431262 433008 443232 446976 447849 451632 452352 454896 457064 464256 469092 471808 480168 482112 484224 487134 489268 490048 498636 502848 508086 508896 514197 522288 530784 536313 539136 540189 542376 544752 551304 559872 565704 569088 572508 575016 577344 583358 587574 590976 597132 602176 606528 612846 619008 620217 625456 636417 640224 642816 645632 646893 649512 664848 670464 677448 678528 682344 685596 696384 703638 707712 715084 720252 723168 726336 730701 733902 735072 742729 754272 762129 763344 766688 769792 783432 787968 796176 808704 813564 817128 826956 839808 848556 853632 858762 862524 866016 875037 881361 886464 895698 903264 904704 909792 914128 919269 928512 938184 943616 960336 964224 968448 974268 978536 980096 997272 1005696 1016172 1017792 1028394 1044576 1055457 1061568 1072626 1080378 1084752 1089504 1100853 1102608 1119744 1131408 1138176 1145016 1150032 1154688 1166716 1175148 1181952 1194264 1204352 1213056 1225692 1240434 1250912 1272834 1280448 1285632 1288143 1293786 1299024 1329696 1340928 1343547 1354896 1357056 1364688 1371192 1392768 1407276 1415424 1430168 1440504 1446336 1452672 1461402 1467804 1470144 1485458 1508544 1524258 1526688 1533376 1539584 1542591 1566864 1592352 1608939 1617408 1620567 1627128 1634256 1653912 1679616 1697112 1707264 1717524 1725048 1732032 1750074 1762722 1772928 1791396 1806528 1819584 1828256 1838538 1857024 1860651 1876368 1920672 1928448 1936896 1940679 1948536 1957072 1960192 1994544 2011392 2032344 2035584 2056788 2089152 2110914 2123136 2145252 2160756 2169504 2179008 2192103 2201706 2205216 2228187 2262816 2286387 2290032 2300064 2309376 2324023 2333432 2350296 2363904 2388528 2408704 2426112 2451384 2480868 2501824 2545668 2560896 2576286 2587572 2598048 2625111 2644083 2659392 2687094 2709792 2714112 2729376 2742384 2757807 2785536 2814552 2830848 2860336 2881008 2892672 2905344 2922804 2935608 2940288 2970916 3017088 3048516 3053376 3066752 3085182 3133728 3166371 3184704 3217878 3241134 3254256 3268512 3302559 3307824 3359232 3394224 3414528 3435048 3450096 3464064 3500148 3525444 3545856 3582792 3613056 3639168 3656512 3677076 3721302 3752736 3791827 3841344 3856896 3864429 3881358 3897072 3914144 3920384 3989088 4022784 4030641 4064688 4071168 4113576 4178304 4221828 4246272 4290504 4321512 4339008 4358016 4384206 4403412 4410432 4456374 4525632 4572774 4580064 4600128 4618752 4627773 4648046 4666864 4700592 4777056 4817408 4826817 4852224 4902768 4961736 5003648 5091336 5121792 5152572 5175144 5196096 5250222 5288166 5318784 5374188 5419584 5458752 5484768 5515614 5541901 5571072 5581953 5629104 5720672 5762016 5785344 5810688 5822037 5845608 5871216 5880576 5941832 6034176 6097032 6106752 6133504 6170364 6267456 6332742 6369408 6435756 6482268 6508512 6537024 6576309 6605118 6615648 6684561 6788448 6859161 6870096 6900192 6928128 6972069 7000296 7050888 7091712 7165584 7226112 7278336 7313024 7354152 7442604 7505472 7583654 7682688 7728858 7762716 7794144 7828288 7875333 7978176 8061282 8129376 8142336 8227152 8273421 8356608 8443656 8492544 8581008 8643024 8678016 8716032 8768412 8806824 8820864 8912748 9051264 9145548 9160128 9200256 9255546 9296092 9333728 9401184 9499113 9554112 9653634 9805536 9907677 9923472 10007296 10182672 10243584 10305144 10350288 10392192 10500444 10576332 10637568 10748376 10839168 10917504 10969536 11031228 11083802 11163906 11258208 11375481 11441344 11524032 11570688 11644074 11691216 11742432 11761152 11883664 12068352 12091923 12194064 12213504 12267008 12340728 12534912 12665484 12738816 12871512 12964536 13017024 13074048 13152618 13210236 13231296 13369122 13576896 13718322 13740192 13800384 13856256 13883319 13944138 14000592 14101776 14331168 14452224 14480451 14556672 14626048 14708304 14885208 15010944 15167308 15365376 15457716 15525432 15588288 15656576 15750666 15956352 16122564 16258752 16454304 16546842 16625703 16713216 16745859 16887312 17162016 17286048 17356032 17432064 17466111 17536824 17613648 17641728 17825496 18102528 18291096 18320256 18400512 18511092 18592184 18667456 18802368 18998226 19108224 19307268 19611072 19728927 19815354 19846944 20014592 20053683 20365344 20577483 20610288 20700576 20784384 20916207 21000888 21152664 21275136 21496752 21678336 21835008 21939072 22062456 22167604 22327812 22516416 22750962 22882688 23048064 23288148 23382432 23484864 23625999 23767328 24183846 24388128 24427008 24681456 25069824 25330968 25477632 25743024 25929072 26034048 26148096 26305236 26420472 26462592 26738244 27153792 27436644 27480384 27600768 27766638 27888276 28001184 28203552 28497339 28662336 28960902 29252096 29416608 29723031 29770416 30021888 30334616 30730752 30915432 31050864 31176576 31313152 31501332 31912704 32245128 32517504 32908608 33093684 33251406 33491718 33774624 34126443 34324032 34572096 34712064 34932222 35073648 35227296 35283456 35650992 36205056 36582192 36640512 36801024 37022184 37184368 37334912 37604736 37996452 38216448 38614536 39222144 39457854 39630708 39693888 40107366 40730688 41154966 41220576 41401152 41568768 41649957 41832414 42001776 42305328 42993504 43356672 43441353 43670016 43878144 44124912 44335208 44655624 45032832 45501924 45765376 46096128 46576296 46764864 46969728 47251998 47534656 48367692 48776256 49362912 49877109 50139648 50237577 50661936 51486048 51858144 52068096 52296192 52398333 52610472 52840944 52925184 53476488 54307584 54873288 54960768 55201536 55533276 55776552 56002368 56407104 56994678 57324672 57921804 58833216 59446062 59540832 60043776 60161049 60669232 61732449 61830864 62101728 62353152 62626304 62748621 63002664 63825408 64490256 65035008 65817216 66187368 66502812 66983436 67549248 68252886 68648064 69144192 69864444 70147296 70454592 70877997 71301984 72044713 73164384 73281024 74044368 74368736 74669824 75209472 75992904 76432896 77229072 78444288 78915708 79261416 79387776 80214732 81461376 82309932 82441152 82802304 83299914 83664828 84003552 84610656 85492017 85987008 86882706 87756288 88249824 88670416 89169093 89311248 90065664 91003848 91530752 92192256 93152592 93529728 93939456 94503996 95069312 96735384 97552512 98725824 99754218 100475154 101323872 102379329 102972096 103716288 104136192 104796666 105220944 105681888 105850368 106952976 108615168 109746576 109921536 110403072 111066552 111553104 112004736 112814208 113989356 114649344 115843608 117666432 118892124 119081664 120322098 121338464 123464898 123661728 124203456 124706304 124949871 125497242 126005328 128980512 130070016 130324059 131634432 132374736 133005624 133966872 135098496 136505772 137296128 138288384 139728888 140294592 140909184 141755994 142603968 144089426 146328768 148088736 148737472 149339648 149631327 150418944 151985808 154458144 156888576 157194999 157831416 158522832 158775552 160429464 162922752 164619864 164882304 165604608 166599828 167329656 168007104 169221312 170984034 171974016 173765412 176499648 177340832 178338186 178622496 180131328 180483147 182007696 186305184 187059456 187878912 188245863 189007992 190138624 193470768 195105024 197451648 199508436 200950308 202647744 204758658 205944192 207432576 209593332 210441888 211363776 212633991 213905952 216134139 219493152 219843072 222133104 223106208 224009472 225628416 227978712 229298688 231687216 235332864 237784248 238163328 240644196 242676928 246929796 247323456 248406912 249899742 250994484 252010656 256476051 257961024 260648118 263268864 264749472 266011248 267507279 267933744 270196992 273011544 274592256 276576768 279457776 280589184 281818368 283511988 285207936 288178852 292657536 296177472 297474944 299262654 303971616 307137987 308916288 314389998 315662832 317045664 317551104 320858928 325845504 329239728 329764608 331209216 333199656 334659312 336014208 338442624 341968068 343948032 347530824 352999296 354681664 356676372 357244992 360966294 364015392 372610368 374118912 374849613 376491726 378015984 380277248 386941536 390210048 390972177 394903296 399016872 401900616 405295488 409517316 411888384 414865152 419186664 420883776 422727552 425267982 427811904 432268278 438986304 444266208 446212416 448018944 448893981 451256832 455957424 463374432 470665728 475568496 476326656 481288392 485353856 493859592 494646912 496813824 499799484 501988968 504021312 512952102 515922048 521296236 529498944 532022496 535014558 535867488 540393984 541449441 546023088 558915552 561178368 563636736 564737589 567023976 570415872 576357704 585315072 592354944 594949888 598525308 607943232 614275974 617832576 628779996 631325664 634091328 637901973 641717856 648402417 658479456 659529216 666399312 669318624 672028416 676885248 683936136 687896064 695061648 705998592 709363328 713352744 714489984 721932588 728030784 745220736 749699226 752983452 756031968 773883072 781944354 789806592 798033744 802521837 803801232 810590976 819034632 823776768 829730304 838373328 841767552 845455104 850535964 855623808 864536556 877972608 888532416 892424832 897787962 911914848 921413961 926748864 951136992 952653312 962576784 970707712 987719184 989293824 993627648 999598968 1003977936 1008042624 1025904204 1031844096 1042592472 1058997888 1064044992 1070029116 1071734976 1082898882 1092046176 1117831104 1122356736 1129475178 1134047952 1140831744 1152715408 1170630144 1172916531 1184709888 1189899776 1197050616 1215886464 1228551948 1235665152 1257559992 1262651328 1268182656 1275803946 1283435712 1296804834 1316958912 1332798624 1338637248 1344056832 1346681943 1353770496 1367872272 1390123296 1411997184 1418726656 1426705488 1428979968 1443865176 1456061568 1490441472 1499398452 1505966904 1512063936 1547766144 1563888708 1596067488 1605043674 1607602464 1621181952 1624348323 1638069264 1676746656 1683535104 1690910208 1694212767 1701071928 1711247616 1729073112 1755945216 1777064832 1784849664 1795575924 1823829696 1842827922 1853497728 1902273984 1913705919 1925153568 1941415424 1945207251 1975438368 1978587648 1999197936 2007955872 2016085248 2051808408 2063688192 2085184944 2117995776 2128089984 2140058232 2143469952 2165797764 2184092352 2235662208 2258950356 2268095904 2305430816 2345833062 2369419776 2394101232 2431772928 2457103896 2471330304 2515119984 2525302656 2536365312 2551607892 2566871424 2593609668 2633917824 2665597248 2677274496 2693363886 2735744544 2764241883 2780246592 2837453312 2853410976 2857959936 2887730352 2912123136 2980882944 2998796904 3011933808 3024127872 3095532288 3127777416 3192134976 3210087348 3215204928 3248696646 3276138528 3353493312 3367070208 3388425534 3402143856 3422495232 3458146224 3511890432 3554129664 3569699328 3591151848 3647659392 3685655844 3706995456 3804547968 3827411838 3850307136 3890414502 3950876736 3998395872 4015911744 4032170496 4040045829 4103616816 4170369888 4235991552 4256179968 4280116464 4286939904 4331595528 4368184704 4471324416 4517900712 4536191808 4610861632 4691666124 4788202464 4863545856 4873044969 4914207792 5030239968 5050605312 5072730624 5082638301 5103215784 5133742848 5187219336 5267835648 5331194496 5354548992 5386727772 5471489088 5528483766 5560493184 5706821952 5775460704 5824246272 5835621753 5997593808 6023867616 6048255744 6191064576 6255554832 6384269952 6420174696 6430409856 6497393292 6552277056 6706986624 6776851068 6804287712 6916292448 7108259328 7182303696 7295318784 7371311688 7413990912 7609095936 7654823676 7700614272 7780829004 7901753472 7996791744 8031823488 8080091658 8207233632 8292725649 8340739776 8512359936 8560232928 8573879808 8663191056 8736369408 8942648832 9035801424 9072383616 9221723264 9383332248 9576404928 9746089938 9828415584 10060479936 10101210624 10165276602 10206431568 10267485696 10374438672 10535671296 10662388992 10709097984 10773455544 10942978176 11056967532 11120986368 11413643904 11550921408 11671243506 11995187616 12047735232 12096511488 12120137487 12511109664 12768539904 12840349392 12860819712 12994786584 13104554112 13413973248 13553702136 13608575424 13832584896 14364607392 14590637568 14742623376 15218191872 15247914903 15309647352 15401228544 15561658008 15803506944 15993583488 16063646976 16160183316 16414467264 16585451298 16681479552 17120465856 17326382112 17472738816 17506865259 18071602848 18144767232 18443446528 18766664496 19152809856 19492179876 19656831168 20120959872 20330553204 20412863136 20748877344 21324777984 21546911088 21885956352 22113935064 22241972736 22827287808 23101842816 23342487012 23990375232 24095470464 24240274974 24878176947 25022219328 25537079808 25680698784 25721639424 25989573168 26209108224 26827946496 27107404272 27217150848 27665169792 28729214784 29485246752 30495829806 30619294704 30802457088 31123316016 31607013888 31987166976 32127293952 32320366632 32828934528 33170902596 33362959104 34240931712 34652764224 35013730518 36143205696 36289534464 36360412461 36886893056 37533328992 38305619712 38984359752 39313662336 40241919744 40661106408 40825726272 41497754688 43093822176 43771912704 44227870128 45654575616 46203685632 46684974024 47980750464 48190940928 48480549948 49756353894 50044438656 51361397568 51979146336 52418216448 52520595777 54214808544 54434301696 55330339584 57458429568 58970493504 60991659612 61238589408 62246632032 63974333952 64640733264 65657869056 66341805192 66725918208 68481863424 69305528448 70027461036 72286411392 72720824922 75066657984 76611239424 77968719504 78627324672 80483839488 81322212816 81651452544 82995509376 86187644352 88455740256 92407371264 93369948048 95961500928 96381881856 96961099896 99512707788 100088877312 102722795136 103958292672 105041191554 108429617088 108868603392 110660679168 114916859136 117940987008 121983319224 122477178816 124493264064 129281466528 131315738112 132683610384 136963726848 138611056896 140054922072 144572822784 145441649844 150133315968 155937439008 157254649344 157561787331 162644425632 163302905088 165991018752 172375288704 176911480512 186739896096 191923001856 193922199792 199025415576 200177754624 205445590272 207916585344 210082383108 216859234176 229833718272 235881974016 243966638448 244954357632 248986528128 258562933056 265367220768 277222113792 280109844144 289145645568 290883299688 300266631936 311874878016 315123574662 325288851264 326605810176 331982037504 344750577408 353822961024 373479792192 387844399584 398050831152 410891180544 415833170688 420164766216 433718468352 471763948032 472685361993 487933276896 489908715264 497973056256 517125866112 530734441536 560219688288 581766599376 600533263872 623749756032 630247149324 650577702528 689501154816 707645922048 746959584384 775688799168 796101662304 831666341376 840329532432 867436936704 945370723986 975866553792 979817430528 995946112512 1034251732224 1061468883072 1120439376576 1163533198752 1247499512064 1260494298648 1301155405056 1415291844096 1493919168768 1551377598336 1592203324608 1680659064864 1890741447972 1951733107584 2068503464448 2122937766144 2240878753152 2327066397504 2494999024128 2520988597296 2602310810112 2987838337536 3102755196672 3184406649216 3361318129728 3781482895944 3903466215168 4245875532288 4481757506304 4654132795008 5041977194592 6205510393344 6368813298432 6722636259456 7562965791888 7806932430336 8963515012608 9308265590016 10083954389184 12737626596864 13445272518912 15125931583776 18616531180032 20167908778368 26890545037824 30251863167552 40335817556736 60503726335104 80671635113472 121007452670208 242014905340416
- Sum of all divisors σ(n): 857563659912960
- Sum of proper divisors (its aliquot sum) s(n): 615548754572544
- 242014905340416 is an abundant number, because the sum of its proper divisors (615548754572544) is greater than itself. Its abundance is 373533849232128
Bases of 242014905340416
- Binary: 1101110000011100011111000111011010010010000000002
- Hexadecimal: 0xDC1C7C769200
- Base-36: 2DSC420000
Squares and roots of 242014905340416
- 242014905340416 squared (2420149053404162) is 58571214406930516916843053056
- 242014905340416 cubed (2420149053404163) is 14175106910366498916780323232021844429111296
-
The
square root of 242014905340416 is 15556828.2545130645 -
The
cube root of 242014905340416 is 62318.0762293741
Scales and comparisons
How big is 242014905340416?- 242,014,905,340,416 seconds is equal to 7,695,325 years, 20 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 242,014,905,340,416 would take you about nineteen million, two hundred thirty-eight thousand, three hundred thirteen 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 242014905340416 cubic inches would be around 5193.2 feet tall.
Recreational maths with 242014905340416
- 242014905340416 backwards is 614043509410242
- The number of decimal digits it has is: 15
- The sum of 242014905340416's digits is 45
- 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 242014905340416 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 242014905340416 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/242014905340416/
Chicago style:
Numbermatics. 2024. "Number 242014905340416 - Facts about the integer". https://numbermatics.com/n/242014905340416/
The information we have on file for 242014905340416 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 242014905340416, math, Factors of 242014905340416, curriculum, school, college, exams, university, Prime factorization of 242014905340416, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, fourteen billion, nine hundred five million, three hundred forty thousand, four hundred sixteen.