42338879022048
42,338,879,022,048 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42338879022048 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
42338879022048 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42338879022048:
25 × 3 × 72 × 19 × 43 × 61 × 313 × 577
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 43 × 61 × 313 × 577)See below for interesting mathematical facts about the number 42338879022048 from the Numbermatics database.
Names of 42338879022048
- Cardinal: 42338879022048 can be written as Forty-two trillion, three hundred thirty-eight billion, eight hundred seventy-nine million, twenty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 4.2338879022048 × 1013
Factors of 42338879022048
Divisors of 42338879022048
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 43 48 49 56 57 61 76 84 86 96 98 112 114 122 129 133 147 152 168 172 183 196 224 228 244 258 266 294 301 304 313 336 344 366 392 399 427 456 488 516 532 577 588 602 608 626 672 688 732 784 798 817 854 903 912 931 939 976 1032 1064 1154 1159 1176 1204 1252 1281 1376 1464 1568 1596 1634 1708 1731 1806 1824 1862 1878 1952 2064 2107 2128 2191 2308 2318 2352 2408 2451 2504 2562 2623 2793 2928 2989 3192 3268 3416 3462 3477 3612 3724 3756 4039 4128 4214 4256 4382 4616 4636 4704 4816 4902 5008 5124 5246 5586 5719 5856 5947 5978 6321 6384 6536 6573 6832 6924 6954 7224 7448 7512 7869 8078 8113 8428 8764 8967 9232 9272 9632 9804 10016 10248 10492 10963 11172 11438 11894 11956 12117 12642 12768 13072 13146 13459 13664 13848 13908 14448 14896 15024 15337 15738 16156 16226 16856 17157 17528 17841 17934 18361 18464 18544 19093 19608 20496 20984 21926 22344 22876 23788 23912 24234 24339 24811 25284 26144 26292 26918 27696 27816 28273 28896 29792 30048 30674 31476 32312 32452 32889 33712 34314 35056 35197 35682 35868 36722 37088 38186 39216 40033 40377 40992 41629 41968 43852 44688 45752 46011 47576 47824 48468 48678 49622 49837 50568 52584 53836 55083 55392 55632 56546 56791 57279 61348 62952 64624 64904 65778 67424 68628 70112 70394 71364 71736 73444 74433 76372 76741 78432 80066 80754 83258 83936 84819 87704 89376 91504 92022 94213 95152 95648 96936 97356 99244 99674 101136 105168 105591 107672 110166 111264 113092 113582 114558 120099 122696 124887 125904 128527 129248 129808 131556 133651 137256 140788 142728 143472 146888 148866 149511 152744 153482 160132 161508 166516 169638 170373 173677 175408 180601 183008 184044 188426 190304 193872 194712 198488 199348 202272 210336 211182 215344 220332 226184 227164 229116 230223 240198 245392 246379 249774 251808 255721 257054 259616 263112 267302 274512 281576 282639 285456 286944 291403 293776 297732 299022 305488 306964 320264 323016 333032 339276 340746 347354 348859 350816 361202 362767 368088 376852 385581 387744 389424 396976 398696 400953 422364 430688 440664 452368 454328 458232 460446 471409 480396 490784 492758 499548 511442 514108 521031 526224 534604 537187 541803 549024 563152 565278 570912 582806 587552 595464 598044 610976 613928 640528 646032 659491 666064 668743 678552 681492 694708 697718 722404 725534 736176 739137 753704 767163 771162 778848 793952 797392 801906 820999 844728 874209 881328 904736 908656 916464 920892 935557 942818 960792 985516 999096 1022884 1028216 1042062 1046577 1052448 1069208 1074374 1083606 1088301 1126304 1130556 1165612 1190928 1196088 1215739 1227856 1264207 1281056 1292064 1318982 1332128 1337486 1357104 1362984 1389416 1395436 1414227 1444808 1451068 1472352 1478274 1507408 1513471 1534326 1542324 1594784 1603812 1611561 1641998 1689456 1724653 1748418 1762656 1790047 1817312 1832928 1841784 1871114 1885636 1921584 1971032 1978473 1998192 2006229 2045768 2056432 2084124 2093154 2138416 2148748 2167212 2176602 2261112 2331224 2381856 2392176 2431478 2442013 2455712 2462997 2528414 2539369 2637964 2674972 2714208 2725968 2778832 2790872 2806671 2828454 2889616 2902136 2956548 3014816 3026942 3068652 3084648 3207624 3223122 3283996 3299863 3378912 3431419 3449306 3496836 3580094 3647217 3683568 3742228 3771272 3792621 3843168 3942064 3956946 3996384 4012458 4091536 4112864 4168248 4186308 4276832 4297496 4334424 4353204 4522224 4540413 4662448 4681201 4784352 4862956 4884026 4925994 5056828 5078738 5173959 5275928 5349944 5370141 5451936 5557664 5581744 5613342 5656908 5746993 5779232 5804272 5913096 6053884 6137304 6169296 6415248 6446244 6567992 6599726 6862838 6898612 6993672 7160188 7294434 7326039 7367136 7484456 7542544 7585242 7618107 7765843 7884128 7913892 8024916 8183072 8336496 8372616 8594992 8668848 8706408 8849449 9044448 9080826 9324896 9362402 9725912 9768052 9851988 9899589 10113656 10157476 10294257 10347918 10551856 10594297 10699888 10740282 11016661 11163488 11226684 11313816 11493986 11608544 11826192 12107768 12274608 12338592 12530329 12830496 12892488 13135984 13199452 13725676 13797224 13987344 14043603 14320376 14588868 14652078 14968912 15085088 15170484 15236214 15531686 15598981 15827784 16049832 16672992 16745232 17189984 17240979 17337696 17412816 17698898 17775583 18161652 18724804 19451824 19536104 19703976 19799178 20227312 20314952 20588514 20695836 21103712 21188594 21399776 21480564 22033322 22453368 22627632 22987972 23099041 23297529 23652384 24019933 24215536 24549216 25060658 25784976 26271968 26398904 26548347 27451352 27594448 27974688 28087206 28640752 28755949 29177736 29304156 29937824 30340968 30472428 31063372 31197962 31655568 31782891 32099664 32768407 33049983 33490464 34481958 34825632 35397796 35551166 36323304 37449608 37590987 38903648 39072208 39407952 39598356 40228951 40454624 40629904 41177028 41391672 42377188 42961128 44066644 44906736 45255264 45975944 46198082 46595058 46796943 48039866 48431072 50121316 51569952 52797808 53096694 53326749 54360901 54902704 55188896 56174412 57281504 57511898 58355472 58608312 60681936 60944856 62126744 62395924 63311136 63565782 64199328 65536814 66099966 68963916 69297123 70795592 71102332 72059799 72646608 74160079 74899216 75181974 77116627 78144416 78815904 79196712 80457902 81259808 82354056 82783344 84754376 85922256 86267847 88133288 89813472 91951888 92396164 93190116 93593886 96079732 98305221 100242632 105595616 106193388 106653498 108721802 109192867 109805408 112348824 115023796 116710944 117216624 120686853 121363872 121889712 124253488 124791848 127131564 131073628 132199932 137927832 138594246 141591184 142204664 144119598 145293216 147551017 148320158 149798432 150363948 154233254 158393424 160915804 163082703 164708112 165566688 168139531 169508752 171844512 172535694 176266576 183903776 184792328 186380232 187187772 192159464 196610442 200485264 201291643 209316559 212386776 213306996 217443604 218385734 222480237 224697648 230047592 231349881 234433248 241373706 243779424 248506976 249583696 254263128 262147256 264399864 275855664 277188492 283182368 284409328 288239196 295102034 296640316 300727896 308466508 316786848 321831608 326165406 327578601 329416224 336279062 339017504 345071388 352533152 369584656 372760464 374375544 380526307 384318928 393220884 400970528 402583286 418633118 424773552 426613992 434887208 436771468 442653051 444960474 449395296 460095184 462699762 473716423 482747412 499167392 504418593 508526256 524294512 528799728 539816389 551711328 554376984 568818656 576478392 590204068 593280632 601455792 603874929 616933016 627949677 643663216 652330812 655157202 672558124 690142776 739169312 745520928 748751088 761052614 764350069 768637856 786441768 805166572 837266236 849547104 853227984 869774416 873542936 885306102 889920948 920190368 925399524 947432846 965494824 1008837186 1017052512 1032857119 1048589024 1057599456 1079632778 1108753968 1141578921 1152956784 1180408136 1186561264 1202911584 1207749858 1233866032 1255899354 1287326432 1304661624 1310314404 1345116248 1380285552 1409041501 1421149269 1465215913 1497502176 1522105228 1528700138 1572883536 1610333144 1619449167 1674532472 1706455968 1739548832 1747085872 1770612204 1779841896 1850799048 1894865692 1930989648 2017674372 2065714238 2159265556 2217507936 2283157842 2293050207 2305913568 2360816272 2373122528 2415499716 2467732064 2511798708 2609323248 2620628808 2690232496 2760571104 2818083002 2842298538 2930431826 3044210456 3057400276 3098571357 3145767072 3220666288 3238898334 3316014961 3349064944 3494171744 3541224408 3559683792 3701598096 3789731384 3861979296 4035348744 4131428476 4227124503 4318531112 4395647739 4566315684 4586100414 4721632544 4830999432 5023597416 5218646496 5241257616 5380464992 5636166004 5684597076 5860863652 6088420912 6114800552 6197142714 6441332576 6477796668 6632029922 6698129888 7082448816 7119367584 7229999833 7403196192 7579462768 8070697488 8262856952 8454249006 8637062224 8791295478 9000612037 9132631368 9172200828 9661998864 9948044883 10047194832 10256511391 10482515232 11272332008 11369194152 11721727304 12176841824 12229601104 12394285428 12955593336 13264059844 14164897632 14459999666 15158925536 16141394976 16525713904 16908498012 17274124448 17582590956 18001224074 18265262736 18344401656 19323997728 19896089766 20094389664 20513022782 21689999499 22544664016 22738388304 23212104727 23443454608 24459202208 24788570856 25911186672 26528119688 27001836111 28919999332 30769534173 33051427808 33816996024 35165181912 36002448148 36530525472 36688803312 39792179532 41026045564 43379998998 45089328032 45476776608 46424209454 46886909216 49577141712 51822373344 53056239376 54003672222 57839998664 61539068346 63004284259 67633992048 69636314181 70330363824 72004896296 73377606624 79584359064 82052091128 86759997996 92848418908 99154283424 106112478752 108007344444 115679997328 123078136692 126008568518 135267984096 139272628362 140660727648 144009792592 159168718128 164104182256 173519995992 185696837816 189012852777 216014688888 231359994656 246156273384 252017137036 278545256724 288019585184 318337436256 328208364512 347039991984 371393675632 378025705554 432029377776 441029989813 492312546768 504034274072 557090513448 694079983968 742787351264 756051411108 864058755552 882059979626 984625093536 1008068548144 1114181026896 1323089969439 1512102822216 1764119959252 2016137096288 2228362053792 2646179938878 3024205644432 3528239918504 5292359877756 6048411288864 7056479837008 10584719755512 14112959674016 21169439511024 42338879022048
- Sum of all divisors σ(n): 142235251361280
- Sum of proper divisors (its aliquot sum) s(n): 99896372339232
- 42338879022048 is an abundant number, because the sum of its proper divisors (99896372339232) is greater than itself. Its abundance is 57557493317184
Bases of 42338879022048
- Binary: 10011010000001110010011101100000100011111000002
- Hexadecimal: 0x2681C9D823E0
- Base-36: F0A7NEUAO
Squares and roots of 42338879022048
- 42338879022048 squared (423388790220482) is 1792580676843616208870114304
- 42338879022048 cubed (423388790220483) is 75895856414142787352838546406393496174592
-
The
square root of 42338879022048 is 6506833.2560507497 -
The
cube root of 42338879022048 is 34853.5044260951
Scales and comparisons
How big is 42338879022048?- 42,338,879,022,048 seconds is equal to 1,346,245 years, 20 weeks, 2 days, 20 minutes, 48 seconds.
-
To count from 1 to 42,338,879,022,048 would take you about three million, three hundred sixty-five thousand, six 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 42338879022048 cubic inches would be around 2904.5 feet tall.
Recreational maths with 42338879022048
- 42338879022048 backwards is 84022097883324
- The number of decimal digits it has is: 14
- The sum of 42338879022048's digits is 60
- More coming soon!
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The information we have on file for 42338879022048 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!
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