42728622953342976
42,728,622,953,342,976 is an even composite number composed of six prime numbers multiplied together.
42728622953342976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42728622953342976:
211 × 32 × 13 × 372 × 1012 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 37 × 37 × 101 × 101 × 113 × 113)See below for interesting mathematical facts about the number 42728622953342976 from the Numbermatics database.
Names of 42728622953342976
- Cardinal: 42728622953342976 can be written as Forty-two quadrillion, seven hundred twenty-eight trillion, six hundred twenty-two billion, nine hundred fifty-three million, three hundred forty-two thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 4.2728622953342976 × 1016
Factors of 42728622953342976
Divisors of 42728622953342976
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 101 104 111 113 117 128 144 148 156 192 202 208 222 226 234 256 288 296 303 312 333 339 384 404 416 444 452 468 481 512 576 592 606 624 666 678 768 808 832 888 904 909 936 962 1017 1024 1152 1184 1212 1248 1313 1332 1356 1369 1443 1469 1536 1616 1664 1776 1808 1818 1872 1924 2034 2048 2304 2368 2424 2496 2626 2664 2712 2738 2886 2938 3072 3232 3328 3552 3616 3636 3737 3744 3848 3939 4068 4107 4181 4329 4407 4608 4736 4848 4992 5252 5328 5424 5476 5772 5876 6144 6464 6656 7104 7232 7272 7474 7488 7696 7878 8136 8214 8362 8658 8814 9216 9472 9696 9984 10201 10504 10656 10848 10952 11211 11413 11544 11752 11817 12321 12543 12769 12928 13221 13312 14208 14464 14544 14948 14976 15392 15756 16272 16428 16724 17316 17628 17797 18432 18944 19392 19968 20402 21008 21312 21696 21904 22422 22826 23088 23504 23634 24642 25086 25538 25856 26442 26624 28416 28928 29088 29896 29952 30603 30784 31512 32544 32856 33448 33633 34239 34632 35256 35594 37629 37888 38307 38784 39936 40804 42016 42624 43392 43808 44844 45652 46176 47008 47268 48581 49284 50172 51076 51712 52884 53391 54353 56832 57856 58176 59792 59904 61206 61568 63024 65088 65712 66896 67266 68478 69264 70512 71188 75258 75776 76614 77568 79872 81608 84032 85248 86784 87616 89688 91304 91809 92352 94016 94536 97162 98568 100344 102152 102717 103424 105768 106782 108706 113664 114921 115712 116352 119584 119808 122412 123136 126048 130176 131424 132613 133792 134532 136956 138269 138528 141024 142376 145743 148369 150516 153228 154697 155136 160173 163059 163216 165997 168064 170496 173568 175232 179376 182608 183618 184704 188032 189072 194324 197136 200688 204304 205434 206848 211536 213564 217412 227328 229842 231424 232704 239168 239616 244824 246272 252096 260352 262848 265226 267584 269064 273912 276538 277056 282048 284752 291486 296738 301032 306456 309394 310272 320346 326118 326432 331994 336128 340992 347136 350464 358752 365216 367236 369408 376064 377437 378144 388648 394272 397839 401376 408608 410868 414807 422281 423072 427128 434824 437229 445107 459684 464091 465408 472453 478336 489177 489648 492544 497991 504192 520704 525696 530452 535168 538128 547824 553076 554112 564096 569504 582972 593476 602064 612912 618788 620544 640692 652236 652864 663988 672256 681984 694272 700928 717504 730432 734472 738816 752128 754874 756288 777296 788544 795678 802752 817216 821736 829614 844562 846144 854256 869648 874458 890214 919368 928182 930816 944906 956672 978354 979296 985088 995982 1008384 1041408 1051392 1060904 1070336 1076256 1095648 1106152 1108224 1128192 1132311 1139008 1152713 1165944 1186952 1193517 1204128 1225824 1237576 1244421 1266843 1281384 1289669 1304472 1305728 1327976 1335321 1344512 1392273 1401856 1417359 1435008 1460864 1468944 1477632 1493973 1504256 1509748 1512576 1554592 1577088 1591356 1605504 1634432 1643472 1659228 1689124 1692288 1708512 1739296 1748916 1780428 1797497 1838736 1856364 1861632 1889812 1913344 1956708 1958592 1991964 2011061 2016768 2082816 2102784 2121808 2140672 2152512 2191296 2212304 2216448 2256384 2264622 2278016 2305426 2331888 2373904 2387034 2408256 2451648 2475152 2488842 2533686 2562768 2579338 2608944 2611456 2655952 2670642 2689024 2784546 2803712 2834718 2870016 2921728 2937888 2955264 2987946 3008512 3019496 3025152 3109184 3154176 3182712 3211008 3268864 3286944 3318456 3378248 3384576 3396933 3417024 3458139 3478592 3497832 3560856 3594994 3677472 3712728 3779624 3800529 3826688 3869007 3913416 3917184 3983928 4022122 4033536 4205568 4243616 4252077 4281344 4305024 4382592 4424608 4432896 4512768 4529244 4556032 4610852 4663776 4747808 4774068 4816512 4903296 4906681 4950304 4977684 5067372 5125536 5158676 5217888 5222912 5311904 5341284 5392491 5489653 5569092 5669436 5740032 5843456 5875776 5975892 6033183 6038992 6050304 6141889 6218368 6308352 6365424 6422016 6537728 6573888 6636912 6756496 6769152 6793866 6834048 6916278 6957184 6995664 7121712 7189988 7354944 7425456 7559248 7601058 7653376 7738014 7826832 7834368 7967856 8044244 8067072 8411136 8487232 8504154 8562688 8610048 8765184 8849216 8865792 9025536 9058488 9112064 9221704 9327552 9495616 9548136 9633024 9806592 9813362 9900608 9955368 10134744 10251072 10317352 10374417 10435776 10445824 10623808 10682568 10784982 10979306 11138184 11338872 11480064 11607021 11686912 11751552 11951784 12066366 12077984 12100608 12283778 12436736 12616704 12730848 12844032 13075456 13147776 13273824 13512992 13538304 13587732 13668096 13832556 13914368 13965169 13991328 14243424 14379976 14709888 14720043 14850912 14985269 15118496 15202116 15476028 15624397 15653664 15668736 15935712 16088488 16177473 16468959 16765697 16974464 17008308 17220096 17480761 17530368 17698432 18099549 18116976 18224128 18425667 18443408 18655104 18991232 19096272 19266048 19613184 19626724 19801216 19910736 20269488 20502144 20634704 20748834 20871552 20891648 21247616 21365136 21569964 21958612 22276368 22677744 22960128 23214042 23373824 23503104 23903568 24132732 24155968 24201216 24567556 24873472 25233408 25461696 25688064 26150912 26295552 26547648 27025984 27076608 27175464 27336192 27665112 27828736 27930338 27982656 28486848 28759952 29419776 29440086 29701824 29970538 30236992 30404232 30952056 31248794 31307328 31337472 31871424 32176976 32354946 32937918 33531394 33948928 34016616 34440192 34961522 35060736 35396864 36199098 36233952 36448256 36851334 36886816 37310208 37982464 38192544 38532096 39226368 39253448 39602432 39821472 40538976 41004288 41269408 41497668 41743104 41895507 42495232 42650381 42730272 43139928 43917224 44160129 44552736 44955807 45355488 46428084 46873191 47006208 47717753 47807136 48265464 48311936 49135112 49406877 49746944 50297091 50923392 52442283 52591104 53095296 54051968 54350928 54672384 55277001 55330224 55657472 55860676 55965312 56973696 57519904 58839552 58880172 59403648 59941076 60473984 60808464 61904112 62497588 62614656 62674944 63742848 64353952 64709892 65875836 67062788 67897856 68033232 68880384 69923044 70121472 70793728 72398196 72467904 73702668 73773632 74620416 75964928 76385088 77064192 78452736 78506896 79204864 79642944 81077952 82008576 82538816 82995336 83486208 83791014 84990464 85300762 85460544 86279856 87834448 88320258 89105472 89911614 90710976 92856168 93746382 94012416 95435506 95614272 96530928 96623872 98270224 98813754 99493888 100594182 101846784 104884566 105182208 106190592 108103936 108701856 109344768 110554002 110660448 111314944 111721352 111930624 113947392 115039808 117679104 117760344 118807296 119882152 120947968 121616928 123808224 124995176 125229312 125686521 127485696 127951143 128707904 129419784 130256569 131751672 134125576 134867421 135795712 136066464 139846088 140619573 141587456 143153259 144796392 144935808 147405336 147547264 149240832 150891273 151929856 152770176 157013792 157326849 158409728 159285888 162155904 164017152 165077632 165990672 166972416 167582028 169980928 170601524 170921088 172559712 175668896 176640516 178210944 179823228 181421952 181547197 185712336 187492764 188024832 190871012 191228544 193061856 193247744 196540448 197627508 201188364 203117161 203693568 209769132 210364416 212381184 216207872 217403712 221108004 221320896 223442704 223861248 227249893 227894784 230079616 235358208 235520688 237614592 239764304 241895936 243233856 247616448 249990352 250458624 251373042 254971392 255902286 257415808 258839568 260513138 263503344 268251152 269734842 271591424 272132928 279692176 281239146 283174912 286306518 289592784 289871616 294810672 295094528 298481664 301782546 303859712 305540352 314027584 314653698 316819456 318571776 324311808 328034304 330155264 331981344 333944832 335164056 339961856 341203048 341842176 345119424 351337792 353281032 356421888 359646456 362843904 363094394 371424672 374985528 381742024 382457088 383853429 386123712 386495488 390769707 393080896 395255016 402376728 406234322 407387136 419538264 424762368 429459777 432415744 434807424 442216008 442641792 446885408 447722496 454499786 455789568 460159232 471041376 475229184 479528608 483791872 486467712 495232896 499980704 500917248 502746084 509942784 511804572 514831616 517679136 521026276 527006688 536502304 539469684 544265856 544641591 554454953 559384352 562478292 572613036 579185568 579743232 589621344 590189056 603565092 609351483 611080704 620330789 628055168 629307396 637143552 648623616 660310528 663962688 670328112 681749679 682406096 683684352 690238848 702675584 706562064 712843776 719292912 725687808 726188788 742849344 749971056 763484048 764914176 767706858 772247424 772990976 781539414 786161792 790510032 804753456 812468644 814774272 839076528 849524736 858919554 864831488 869614848 884432016 885283584 893770816 895444992 908999572 911579136 920318464 942082752 950458368 959057216 967583744 972935424 990465792 999961408 1001834496 1005492168 1019885568 1023609144 1029663232 1035358272 1042052552 1054013376 1073004608 1078939368 1088531712 1089283182 1108909906 1118768704 1124956584 1145226072 1158371136 1159486464 1172309121 1179242688 1180378112 1207130184 1218702966 1222161408 1240661578 1256110336 1258614792 1274287104 1297247232 1320621056 1327925376 1340656224 1363499358 1364812192 1367368704 1380477696 1405351168 1413124128 1425687552 1438585824 1451375616 1452377576 1485698688 1499942112 1526968096 1529828352 1535413716 1544494848 1563078828 1572323584 1578064097 1581020064 1609506912 1624937288 1633924773 1663364859 1678153056 1693335397 1717839108 1739229696 1765556861 1768864032 1770567168 1787541632 1817999144 1828054449 1840636928 1860992367 1884165504 1918114432 1945870848 1980931584 1999922816 2010984336 2045249037 2047218288 2059326464 2070716544 2084105104 2108026752 2146009216 2157878736 2177063424 2178566364 2217819812 2237537408 2249913168 2290452144 2316742272 2318972928 2344618242 2358485376 2360756224 2414260368 2437405932 2444322816 2481323156 2512220672 2517229584 2548574208 2594494464 2641242112 2655850752 2681312448 2726998716 2729624384 2734737408 2760955392 2810702336 2826248256 2851375104 2877171648 2902751232 2904755152 2971397376 2999884224 3053936192 3059656704 3070827432 3088989696 3126157656 3144647168 3156128194 3162040128 3219013824 3249874576 3267849546 3326729718 3356306112 3386670794 3435678216 3478459392 3531113722 3537728064 3541134336 3575083264 3635998288 3656108898 3681273856 3721984734 3768331008 3836228864 3891741696 3961863168 3999845632 4021968672 4090498074 4094436576 4118652928 4141433088 4168210208 4216053504 4292018432 4315757472 4354126848 4357132728 4435639624 4475074816 4499826336 4580904288 4633484544 4689236484 4716970752 4734192291 4819493053 4828520736 4874811864 4962646312 4990094577 5024441344 5034459168 5080006191 5296670583 5311701504 5362624896 5453997432 5459248768 5521910784 5582977101 5621404672 5652496512 5754343296 5809510304 5942794752 5999768448 6107872384 6141654864 6177979392 6252315312 6289294336 6312256388 6324080256 6438027648 6499749152 6535699092 6653459436 6712612224 6773341588 6871356432 6956918784 7062227444 7075456128 7082268672 7150166528 7271996576 7312217796 7443969468 7536662016 7672457728 7783483392 7923726336 7999691264 8043937344 8180996148 8188873152 8282866176 8336420416 8432107008 8584036864 8631514944 8708253696 8714265456 8871279248 8950149632 8999652672 9161808576 9266969088 9378472968 9433941504 9468384582 9638986106 9657041472 9749623728 9925292624 9980189154 10048882688 10068918336 10160012382 10593341166 10623403008 10725249792 10907994864 10918497536 11043821568 11165954202 11242809344 11304993024 11508686592 11619020608 11885589504 11999536896 12215744768 12283309728 12355958784 12504630624 12578588672 12624512776 12648160512 12876055296 12999498304 13071398184 13306918872 13425224448 13546683176 13742712864 14124454888 14150912256 14202576873 14300333056 14458479159 14543993152 14624435592 14887938936 15073324032 15240018573 15344915456 15890011749 15999382528 16087874688 16361992296 16377746304 16565732352 16672840832 16864214016 17168073728 17263029888 17428530912 17742558496 17900299264 17999305344 18323617152 18533938176 18756945936 18867883008 18936769164 19277972212 19314082944 19499247456 19850585248 19960378308 20137836672 20320024764 20514833261 21186682332 21246806016 21450499584 21815989728 21836995072 22331908404 22609986048 22952239193 23017373184 23238041216 23771179008 23999073792 24431489536 24566619456 25009261248 25249025552 25296321024 25752110592 25998996608 26142796368 26613837744 26850448896 27093366352 27485425728 28248909776 28301824512 28405153746 28600666112 28916958318 29087986304 29248871184 29775877872 30146648064 30480037146 30689830912 31780023498 31998765056 32175749376 32723984592 32755492608 33131464704 33345681664 33728428032 34336147456 34526059776 34857061824 35485116992 35800598528 35998610688 36647234304 37067876352 37513891872 37735766016 37873538328 38555944424 38628165888 38998494912 39701170496 39920756616 40275673344 40640049528 41029666522 42373364664 42900999168 43375437477 43631979456 43673990144 44663816808 45219972096 45904478386 46034746368 46476082432 47998147584 48862979072 49133238912 50018522496 50498051104 50592642048 51504221184 51997993216 52285592736 53227675488 53700897792 54186732704 54970851456 56497819552 56603649024 56810307492 57833916636 58175972608 58497742368 59551755744 60960074292 61544499783 62653409689 63560046996 64351498752 65447969184 65510985216 66691363328 68856717579 69052119552 69714123648 70970233984 71997221376 73294468608 75027783744 75747076656 77111888848 77256331776 77996989824 79402340992 79841513232 80551346688 81280099056 82059333044 84746729328 85801998336 86750874954 87263958912 87347980288 89327633616 90439944192 91808956772 92069492736 92952164864 95996295168 97725958144 98266477824 100037044992 100996102208 101185284096 103008442368 103995986432 104571185472 106455350976 107401795584 108373465408 109941702912 112995639104 113207298048 113620614984 115667833272 116351945216 116995484736 119103511488 121920148584 123088999566 125306819378 127120093992 128702997504 130895938368 131021970432 133382726656 137713435158 138104239104 139428247296 141940467968 143994442752 146588937216 150055567488 151494153312 154223777696 154512663552 155993979648 158804681984 159683026464 161102693376 162560198112 164118666088 169493458656 173501749908 174527917824 178321242961 178655267232 183617913544 184633499349 185904329728 187960229067 196532955648 200074089984 201992204416 206570152737 207991972864 209142370944 212910701952 216746930816 219883405824 225991278208 227241229968 231335666544 232703890432 233990969472 238207022976 243840297168 246177999132 250613638756 254240187984 257405995008 261791876736 262043940864 266765453312 275426870316 276208478208 278856494592 283880935936 287988885504 293177874432 300111134976 302988306624 308447555392 309025327104 311987959296 317609363968 319366052928 322205386752 325120396224 328237332176 338986917312 347003499816 349055835648 356642485922 357310534464 367235827088 369266998698 371808659456 375920458134 393065911296 400148179968 403984408832 413140305474 415983945728 418284741888 425821403904 433493861632 439766811648 451982556416 454482459936 462671333088 465407780864 467981938944 476414045952 487680594336 492355998264 501227277512 508480375968 523583753472 534963728883 550853740632 557712989184 563880687201 567761871872 600222269952 605976613248 616895110784 623975918592 635218727936 638732105856 650240792448 656474664352 677973834624 694006999632 698111671296 713284971844 714621068928 734471654176 738533997396 751840916268 786131822592 800296359936 807968817664 826280610948 836569483776 851642807808 866987723264 879533623296 903965112832 908964919872 925342666176 935963877888 952828091904 975361188672 984711996528 1002454555024 1016960751936 1047167506944 1069927457766 1101707481264 1115425978368 1127761374402 1135523743744 1200444539904 1211953226496 1233790221568 1247951837184 1270437455872 1277464211712 1300481584896 1312949328704 1355947669248 1388013999264 1396223342592 1426569943688 1429242137856 1468943308352 1477067994792 1503681832536 1604891186649 1615937635328 1652561221896 1673138967552 1703285615616 1733975446528 1807930225664 1817929839744 1850685332352 1871927755776 1905656183808 1950722377344 1969423993056 2004909110048 2033921503872 2094335013888 2139854915532 2203414962528 2255522748804 2318176158493 2400889079808 2423906452992 2467580443136 2554928423424 2600963169792 2625898657408 2711895338496 2776027998528 2853139887376 2858484275712 2937886616704 2954135989584 3007363665072 3209782373298 3231875270656 3305122443792 3346277935104 3406571231232 3467950893056 3615860451328 3635859679488 3701370664704 3743855511552 3811312367616 3901444754688 3938847986112 4009818220096 4067843007744 4188670027776 4279709831064 4406829925056 4511045497608 4636352316986 4847812905984 4935160886272 5109856846848 5201926339584 5251797314816 5423790676992 5552055997056 5706279774752 5716968551424 5875773233408 5908271979168 6014727330144 6419564746596 6610244887584 6954528475479 7271719358976 7402741329408 7802889509376 7877695972224 8019636440192 8135686015488 8559419662128 8813659850112 9022090995216 9272704633972 9695625811968 9870321772544 10219713693696 10403852679168 10503594629632 10847581353984 11104111994112 11412559549504 11433937102848 11751546466816 11816543958336 12029454660288 12839129493192 13220489775168 13909056950958 14543438717952 14805482658816 15605779018752 15755391944448 16039272880384 16271372030976 17118839324256 17627319700224 18044181990432 18545409267944 20863585426437 21007189259264 22208223988224 22825119099008 23503092933632 23633087916672 24058909320576 25678258986384 26440979550336 27818113901916 29086877435904 29610965317632 31211558037504 31510783888896 32078545760768 32542744061952 34237678648512 35254639400448 36088363980864 37090818535888 41727170852874 42014378518528 44416447976448 45650238198016 47006185867264 47266175833344 48117818641152 51356517972768 52881959100672 55636227803832 63021567777792 64157091521536 68475357297024 70509278800896 72176727961728 74181637071776 83454341705748 88832895952896 91300476396032 94532351666688 96235637282304 102713035945536 105763918201344 111272455607664 126043135555584 128314183043072 136950714594048 141018557601792 144353455923456 148363274143552 166908683411496 182600952792064 189064703333376 192471274564608 205426071891072 211527836402688 222544911215328 273901429188096 288706911846912 296726548287104 333817366822992 365201905584128 378129406666752 384942549129216 410852143782144 423055672805376 445089822430656 547802858376192 577413823693824 593453096574208 667634733645984 821704287564288 890179644861312 1095605716752384 1154827647387648 1186906193148416 1335269467291968 1643408575128576 1780359289722624 2373812386296832 2670538934583936 3286817150257152 3560718579445248 4747624772593664 5341077869167872 7121437158890496 10682155738335744 14242874317780992 21364311476671488 42728622953342976
- Sum of all divisors σ(n): 139187456335033470
- Sum of proper divisors (its aliquot sum) s(n): 96458833381690494
- 42728622953342976 is an abundant number, because the sum of its proper divisors (96458833381690494) is greater than itself. Its abundance is 53730210428347518
Bases of 42728622953342976
- Binary: 100101111100110101110100110010001110000000101000000000002
- Hexadecimal: 0x97CD74C8E02800
- Base-36: BOQ16EE2GW0
Squares and roots of 42728622953342976
- 42728622953342976 squared (427286229533429762) is 1825735219488948224580973888536576
- 42728622953342976 cubed (427286229533429763) is 78011151806182149401298641207091488954023648690176
-
The
square root of 42728622953342976 is 206709029.6850695781 -
The
cube root of 42728622953342976 is 349601.2409729237
Scales and comparisons
How big is 42728622953342976?- 42,728,622,953,342,976 seconds is equal to 1,358,638,041 years, 31 weeks, 4 days, 4 hours, 9 minutes, 36 seconds.
-
To count from 1 to 42,728,622,953,342,976 would take you about four billion, seventy-five million, nine hundred fourteen thousand, one hundred twenty-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 42728622953342976 cubic inches would be around 29133.4 feet tall.
Recreational maths with 42728622953342976
- 42728622953342976 backwards is 67924335922682724
- The number of decimal digits it has is: 17
- The sum of 42728622953342976's digits is 81
- 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 42728622953342976 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 42728622953342976 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/42728622953342976/
Chicago style:
Numbermatics. 2024. "Number 42728622953342976 - Facts about the integer". https://numbermatics.com/n/42728622953342976/
The information we have on file for 42728622953342976 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 42728622953342976, math, Factors of 42728622953342976, curriculum, school, college, exams, university, Prime factorization of 42728622953342976, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred twenty-eight trillion, six hundred twenty-two billion, nine hundred fifty-three million, three hundred forty-two thousand, nine hundred seventy-six.