42427264201376256
42,427,264,201,376,256 is an even composite number composed of five prime numbers multiplied together.
42427264201376256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 42427264201376256:
29 × 38 × 17 × 972 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 97 × 97 × 281 × 281)See below for interesting mathematical facts about the number 42427264201376256 from the Numbermatics database.
Names of 42427264201376256
- Cardinal: 42427264201376256 can be written as Forty-two quadrillion, four hundred twenty-seven trillion, two hundred sixty-four billion, two hundred one million, three hundred seventy-six thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 4.2427264201376256 × 1016
Factors of 42427264201376256
Divisors of 42427264201376256
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 97 102 108 128 136 144 153 162 192 194 204 216 243 256 272 281 288 291 306 324 384 388 408 432 459 486 512 544 562 576 582 612 648 729 768 776 816 843 864 873 918 972 1088 1124 1152 1164 1224 1296 1377 1458 1536 1552 1632 1649 1686 1728 1746 1836 1944 2176 2187 2248 2304 2328 2448 2529 2592 2619 2754 2916 3104 3264 3298 3372 3456 3492 3672 3888 4131 4352 4374 4496 4608 4656 4777 4896 4947 5058 5184 5238 5508 5832 6208 6528 6561 6596 6744 6912 6984 7344 7587 7776 7857 8262 8704 8748 8992 9312 9409 9554 9792 9894 10116 10368 10476 11016 11664 12393 12416 13056 13122 13192 13488 13824 13968 14331 14688 14841 15174 15552 15714 16524 17496 17984 18624 18818 19108 19584 19788 20232 20736 20952 22032 22761 23328 23571 24786 24832 26112 26244 26384 26976 27257 27936 28227 28662 29376 29682 30348 31104 31428 33048 34992 35968 37179 37248 37636 38216 39168 39576 40464 41472 41904 42993 44064 44523 45522 46656 47142 49572 49664 52488 52768 53952 54514 55872 56454 57324 58752 59364 60696 62208 62856 66096 68283 69984 70713 71936 74358 74496 75272 76432 78336 78961 79152 80928 81771 83808 84681 85986 88128 89046 91044 93312 94284 99144 104976 105536 107904 109028 111537 111744 112908 114648 117504 118728 121392 124416 125712 128979 132192 133569 136566 139968 141426 143872 148716 148992 150544 152864 157922 158304 159953 161856 163542 167616 169362 171972 176256 178092 182088 186624 188568 198288 204849 209952 211072 212139 215808 218056 223074 223488 225816 229296 235008 236883 237456 242784 245313 251424 254043 257958 264384 267138 273132 279936 282852 297432 301088 305728 315844 316608 319906 323712 327084 335232 338724 343944 352512 356184 364176 373248 377136 386937 396576 400707 409698 419904 422144 424278 431616 436112 446148 446976 451632 458592 463369 473766 474912 479859 485568 490626 502848 508086 515916 528768 534276 546264 559872 565704 594864 602176 611456 614547 631688 633216 636417 639812 647424 654168 670464 677448 687888 705024 710649 712368 728352 735939 754272 762129 773874 793152 801414 819396 839808 844288 848556 872224 892296 903264 917184 926738 947532 949824 959718 971136 981252 1005696 1016172 1031832 1057536 1068552 1092528 1119744 1131408 1160811 1189728 1202121 1204352 1222912 1229094 1263376 1266432 1272834 1279624 1294848 1308336 1340928 1342337 1354896 1375776 1390107 1421298 1424736 1439577 1456704 1471878 1508544 1524258 1547748 1586304 1602828 1638792 1679616 1697112 1744448 1784592 1806528 1834368 1843641 1853476 1895064 1899648 1919436 1942272 1962504 2011392 2032344 2063664 2115072 2131947 2137104 2185056 2207817 2262816 2286387 2321622 2379456 2404242 2408704 2445824 2458188 2526752 2532864 2545668 2559248 2616672 2643929 2684674 2709792 2751552 2780214 2842596 2849472 2879154 2913408 2943756 3017088 3048516 3095496 3172608 3205656 3277584 3359232 3394224 3482433 3488896 3569184 3606363 3613056 3668736 3687282 3706952 3790128 3799296 3838872 3884544 3925008 4022784 4027011 4064688 4127328 4170321 4263894 4274208 4318731 4370112 4415634 4525632 4572774 4643244 4758912 4808484 4817408 4916376 5053504 5091336 5118496 5233344 5287858 5369348 5419584 5503104 5560428 5685192 5698944 5758308 5826816 5887512 6034176 6097032 6190992 6345216 6395841 6411312 6555168 6623451 6788448 6859161 6964866 6977792 7138368 7212726 7226112 7337472 7374564 7413904 7580256 7598592 7659217 7677744 7850016 7931787 8054022 8129376 8254656 8340642 8527788 8548416 8637462 8740224 8831268 9051264 9145548 9286488 9517824 9616968 9832752 10107008 10182672 10236992 10447299 10466688 10575716 10738696 10819089 10839168 11006208 11120856 11370384 11397888 11516616 11653632 11775024 12068352 12081033 12194064 12381984 12510963 12791682 12822624 12956193 13110336 13246902 13576896 13718322 13929732 13955584 14276736 14425452 14452224 14749128 14827808 15160512 15318434 15355488 15700032 15863574 16108044 16258752 16509312 16681284 17055576 17096832 17274924 17480448 17662536 18102528 18291096 18572976 19035648 19187523 19233936 19665504 19870353 20214016 20365344 20473984 20577483 20894598 20933376 21151432 21477392 21638178 21678336 22012416 22241712 22740768 22795776 22977651 23033232 23550048 23795361 24162066 24388128 24763968 25021926 25583364 25645248 25912386 26220672 26493804 27153792 27436644 27859464 28553472 28850904 29498256 29655616 30321024 30636868 30710976 31341897 31400064 31727148 32216088 32517504 33018624 33362568 34111152 34193664 34549848 34960896 35325072 36205056 36243099 36582192 37145952 37532889 38375046 38467872 38868579 39331008 39740706 40428032 40730688 40947968 41154966 41789196 41866752 42302864 42954784 43276356 43356672 44483424 44946793 45481536 45955302 46066464 47100096 47590722 48324132 48776256 49527936 50043852 51166728 51290496 51824772 52441344 52987608 54307584 54873288 55718928 57106944 57562569 57701808 58996512 59311232 59611059 60642048 61273736 61421952 61732449 62683794 62800128 63454296 64432176 65035008 66037248 66725136 68222304 68387328 68932953 69099696 70650144 71386083 72486198 73164384 74291904 75065778 76750092 76935744 77737158 78662016 79481412 81461376 81895936 82309932 83578392 84605728 85909568 86552712 88966848 89893586 90963072 91910604 92132928 94200192 95181444 96648264 97552512 99055872 100087704 102333456 102580992 103649544 104882688 105975216 108615168 108729297 109746576 111437856 112598667 115125138 115403616 116605737 117993024 118622464 119222118 121284096 122547472 122843904 123464898 125367588 125600256 126908592 128864352 130070016 130206689 133450272 134840379 136444608 137865906 138199392 141300288 142772166 144972396 146328768 148583808 150131556 153500184 153871488 155474316 157324032 158962824 162922752 164619864 167156784 169211456 171819136 172687707 173105424 177933696 178833177 179787172 181926144 183821208 184265856 188400384 190362888 193296528 195105024 198111744 200175408 204666912 205161984 206798859 207299088 211950432 214158249 217458594 219493152 222875712 225197334 230250276 230807232 233211474 235986048 237244928 238444236 245094944 245687808 246929796 250735176 253817184 257728704 260413378 266900544 269680758 272889216 275731812 276398784 282600576 285544332 289944792 292657536 297167616 300263112 307000368 307742976 310948632 314648064 317925648 325845504 326187891 329239728 334313568 337796001 338422912 343638272 345375414 346210848 349817211 355867392 357666354 359574344 363852288 367642416 368531712 376800768 380725776 386593056 390210048 390620067 400350816 404521137 409333824 413597718 414598176 423900864 428316498 434917188 438986304 445751424 450394668 460500552 461614464 466422948 471972096 476888472 490189888 493859592 501470352 507634368 515457408 518063121 520826756 533801088 539361516 545778432 551463624 552797568 565201152 571088664 579889584 585315072 594335232 600526224 614000736 615485952 620396577 621897264 635851296 642474747 652375782 658479456 668627136 675592002 676845824 687276544 690750828 692421696 699634422 711734784 715332708 719148688 735284832 737063424 742944049 761451552 773186112 781240134 800701632 809042274 818667648 827195436 829196352 847801728 856632996 869834376 877972608 891502848 900789336 921001104 923228928 932845896 943944192 953776944 978563673 980379776 987719184 1002940704 1013388003 1015268736 1030914816 1036126242 1041653512 1049451633 1067602176 1078723032 1091556864 1102927248 1105595136 1130402304 1142177328 1159779168 1170630144 1171860201 1201052448 1213563411 1228001472 1240793154 1243794528 1271702592 1284949494 1304751564 1316958912 1337254272 1351184004 1353691648 1381501656 1384843392 1399268844 1430665416 1438297376 1470569664 1485888098 1522903104 1546372224 1562480268 1601403264 1618084548 1637335296 1654390872 1658392704 1695603456 1713265992 1739668752 1755945216 1783005696 1801578672 1842002208 1846457856 1861189731 1865691792 1907553888 1927424241 1957127346 1960759552 1975438368 2005881408 2026776006 2030537472 2061829632 2072252484 2083307024 2098903266 2135204352 2157446064 2205854496 2211190272 2228832147 2284354656 2319558336 2343720402 2402104896 2427126822 2456002944 2481586308 2487589056 2543405184 2569898988 2609503128 2633917824 2674508544 2702368008 2763003312 2769686784 2798537688 2861330832 2876594752 2935691019 2941139328 2971776196 3040164009 3045806208 3092744448 3124960536 3202806528 3236169096 3274670592 3308781744 3316785408 3391206912 3426531984 3479337504 3511890432 3515580603 3603157344 3640690233 3684004416 3722379462 3731383584 3815107776 3854848482 3914254692 3921519104 3950876736 4011762816 4053552012 4061074944 4144504968 4166614048 4197806532 4314892128 4411708992 4457664294 4568709312 4639116672 4687440804 4804209792 4854253644 4912005888 4963172616 4975178112 5086810368 5139797976 5219006256 5267835648 5349017088 5404736016 5526006624 5539373568 5583569193 5597075376 5722661664 5753189504 5782272723 5871382038 5882278656 5943552392 6080328018 6091612416 6185488896 6249921072 6405613056 6472338192 6617563488 6633570816 6686496441 6853063968 6958675008 7031161206 7206314688 7281380466 7368008832 7444758924 7462767168 7630215552 7709696964 7828509384 7901753472 8023525632 8107104024 8289009936 8333228096 8395613064 8629784256 8807073057 8823417984 8915328588 9137418624 9278233344 9374881608 9608419584 9708507288 9824011776 9926345232 9950356224 10173620736 10279595952 10438012512 10535671296 10546741809 10809472032 10922070699 11052013248 11167138386 11194150752 11445323328 11506379008 11564545446 11742764076 11764557312 11887104784 12160656036 12183224832 12499842144 12630048833 12944676384 13235126976 13372992882 13706127936 13917350016 14062322412 14412629376 14562760932 14736017664 14889517848 14925534336 15260431104 15419393928 15657018768 15803506944 16047051264 16214208048 16578019872 16666456192 16750707579 16791226128 17259568512 17346818169 17614146114 17646835968 17830657176 18274837248 18556466688 18749763216 19216839168 19417014576 19852690464 19900712448 20059489323 20559191904 20876025024 21093483618 21618944064 21844141398 22104026496 22334276772 22388301504 22890646656 23012758016 23129090892 23485528152 23774209568 24321312072 24999684288 25260097666 25889352768 26470253952 26745985764 27412255872 27834700032 28124644824 28825258752 29125521864 29472035328 29779035696 29851068672 30520862208 30838787856 31314037536 31607013888 31640225427 32428416096 32766212097 33156039744 33332912384 33501415158 33582452256 34519137024 34693636338 35228292228 35293671936 35661314352 36549674496 37499526432 37890146499 38834029152 39705380928 40118978646 41118383808 41752050048 42186967236 43237888128 43688282796 44208052992 44668553544 44776603008 45781293312 46258181784 46971056304 47548419136 48642624144 49999368576 50252122737 50520195332 51778705536 52940507904 53491971528 54824511744 55669400064 56249289648 57650517504 58251043728 59558071392 59702137344 60178467969 61677575712 62628075072 63280450854 64856832192 65532424194 66312079488 66665824768 67002830316 67164904512 69038274048 69387272676 70456584456 71322628704 74999052864 75780292998 77668058304 79410761856 80237957292 82236767616 83504100096 84373934472 86475776256 87376565592 88416105984 89337107088 89553206016 91562586624 92516363568 93942112608 94920676281 95096838272 97285248288 98298636291 99998737152 100504245474 101040390664 103557411072 105881015808 106983943056 109649023488 112498579296 113670439497 116502087456 119116142784 120356935938 123355151424 125256150144 126560901708 129713664384 131064848388 132624158976 134005660632 134329809024 138774545352 140913168912 142645257408 149998105728 151560585996 155336116608 158821523712 160475914584 164473535232 167008200192 168747868944 172951552512 174753131184 178674214176 179106412032 180535403907 185032727136 187884225216 189841352562 190193676544 194570496576 196597272582 199997474304 201008490948 202080781328 207114822144 213967886112 224997158592 227340878994 233004174912 238232285568 240713871876 246710302848 250512300288 253121803416 259427328768 262129696776 265248317952 268011321264 268659618048 277549090704 281826337824 284762028843 285290514816 294895908873 299996211456 303121171992 310672233216 317643047424 320951829168 328947070464 337495737888 341011318491 349506262368 357348428352 361070807814 370065454272 375768450432 379682705124 380387353088 389140993152 393194545164 402016981896 404161562656 427935772224 449994317184 454681757988 466008349824 476464571136 481427743752 493420605696 501024600576 506243606832 518854657536 524259393552 536022642528 537319236096 541606211721 555098181408 563652675648 569524057686 570581029632 589791817746 599992422912 606242343984 621344466432 641903658336 674991475776 682022636982 699012524736 714696856704 722141615628 740130908544 751536900864 759365410248 778281986304 786389090328 804033963792 808323125312 854286086529 855871544448 899988634368 909363515976 932016699648 952929142272 962855487504 986841211392 1012487213664 1023033955473 1048518787104 1072045285056 1083212423442 1110196362816 1127305351296 1139048115372 1141162059264 1179583635492 1212484687968 1283807316672 1349982951552 1364045273964 1398025049472 1429393713408 1444283231256 1480261817088 1503073801728 1518730820496 1556563972608 1572778180656 1608067927584 1616646250624 1624818635163 1708572173058 1711743088896 1799977268736 1818727031952 1864033399296 1925710975008 2024974427328 2046067910946 2097037574208 2144090570112 2166424846884 2220392725632 2254610702592 2278096230744 2359167270984 2424969375936 2567614633344 2699965903104 2728090547928 2796050098944 2858787426816 2888566462512 2960523634176 3037461640992 3069101866419 3145556361312 3216135855168 3233292501248 3249637270326 3417144346116 3423486177792 3637454063904 3851421950016 4049948854656 4092135821892 4194075148416 4288181140224 4332849693768 4440785451264 4509221405184 4556192461488 4718334541968 4849938751872 4874455905489 5135229266688 5399931806208 5456181095856 5592100197888 5777132925024 6074923281984 6138203732838 6291112722624 6432271710336 6466585002496 6499274540652 6834288692232 7274908127808 7702843900032 8099897709312 8184271643784 8388150296832 8576362280448 8665699387536 8881570902528 9112384922976 9207305599257 9436669083936 9699877503744 9748911810978 10270458533376 10912362191712 11554265850048 12149846563968 12276407465676 12582225445248 12864543420672 12998549081304 13668577384464 14549816255616 15405687800064 16199795418624 16368543287568 16776300593664 17331398775072 18224769845952 18414611198514 18873338167872 19399755007488 19497823621956 21824724383424 23108531700096 24299693127936 24552814931352 25164450890496 25729086841344 25997098162608 27337154768928 27621916797771 29099632511232 30811375600128 32737086575136 34662797550144 36449539691904 36829222397028 37746676335744 38995647243912 43649448766848 46217063400192 48599386255872 49105629862704 50328901780992 51994196325216 54674309537856 55243833595542 58199265022464 65474173150272 69325595100288 72899079383808 73658444794056 75493352671488 77991294487824 82865750393313 87298897533696 92434126800384 98211259725408 103988392650432 109348619075712 110487667191084 130948346300544 138651190200576 145798158767616 147316889588112 150986705342976 155982588975648 165731500786626 174597795067392 196422519450816 207976785300864 218697238151424 220975334382168 261896692601088 277302380401152 294633779176224 311965177951296 331463001573252 392845038901632 415953570601728 437394476302848 441950668764336 523793385202176 589267558352448 623930355902592 662926003146504 785690077803264 831907141203456 883901337528672 1178535116704896 1247860711805184 1325852006293008 1571380155606528 1767802675057344 2357070233409792 2495721423610368 2651704012586016 3535605350114688 4714140466819584 5303408025172032 7071210700229376 10606816050344064 14142421400458752 21213632100688128 42427264201376256
- Sum of all divisors σ(n): 136518583464808974
- Sum of proper divisors (its aliquot sum) s(n): 94091319263432718
- 42427264201376256 is an abundant number, because the sum of its proper divisors (94091319263432718) is greater than itself. Its abundance is 51664055062056462
Bases of 42427264201376256
- Binary: 100101101011101101011111001110111000001111000010000000002
- Hexadecimal: 0x96BB5F3B83C200
- Base-36: BLR7K3M0000
Squares and roots of 42427264201376256
- 42427264201376256 squared (424272642013762562) is 1800072747613383193839564480577536
- 42427264201376256 cubed (424272642013762563) is 76372162044690289140210418931219752110792917385216
-
The
square root of 42427264201376256 is 205978795.5139466681 -
The
cube root of 42427264201376256 is 348777.4055915415
Scales and comparisons
How big is 42427264201376256?- 42,427,264,201,376,256 seconds is equal to 1,349,055,765 years, 23 weeks, 6 days, 57 minutes, 36 seconds.
-
To count from 1 to 42,427,264,201,376,256 would take you about four billion, forty-seven million, one hundred sixty-seven thousand, two 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 42427264201376256 cubic inches would be around 29064.8 feet tall.
Recreational maths with 42427264201376256
- 42427264201376256 backwards is 65267310246272424
- The number of decimal digits it has is: 17
- The sum of 42427264201376256'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 42427264201376256 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 42427264201376256 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42427264201376256/
Chicago style:
Numbermatics. 2024. "Number 42427264201376256 - Facts about the integer". https://numbermatics.com/n/42427264201376256/
The information we have on file for 42427264201376256 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 42427264201376256, math, Factors of 42427264201376256, curriculum, school, college, exams, university, Prime factorization of 42427264201376256, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred twenty-seven trillion, two hundred sixty-four billion, two hundred one million, three hundred seventy-six thousand, two hundred fifty-six.