42049755873664
42,049,755,873,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 42049755873664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
42049755873664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42049755873664:
27 × 73 × 112 × 172 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 17 × 17 × 61 × 449)See below for interesting mathematical facts about the number 42049755873664 from the Numbermatics database.
Names of 42049755873664
- Cardinal: 42049755873664 can be written as Forty-two trillion, forty-nine billion, seven hundred fifty-five million, eight hundred seventy-three thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2049755873664 × 1013
Factors of 42049755873664
Divisors of 42049755873664
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 61 64 68 77 88 98 112 119 121 122 128 136 154 176 187 196 224 238 242 244 272 289 308 343 352 374 392 427 448 449 476 484 488 539 544 578 616 671 686 704 748 784 833 847 854 896 898 952 968 976 1037 1078 1088 1156 1232 1309 1342 1372 1408 1496 1568 1666 1694 1708 1796 1904 1936 1952 2023 2057 2074 2156 2176 2312 2464 2618 2684 2744 2989 2992 3136 3143 3179 3332 3388 3416 3592 3773 3808 3872 3904 4046 4114 4148 4312 4624 4697 4928 4939 5236 5368 5488 5831 5929 5978 5984 6272 6286 6358 6664 6776 6832 7184 7259 7381 7546 7616 7633 7744 7808 8092 8228 8296 8624 9163 9248 9394 9856 9878 10472 10736 10976 11407 11662 11858 11956 11968 12572 12716 13328 13552 13664 14161 14368 14399 14518 14762 15092 15232 15266 15488 16184 16456 16592 17248 17629 18326 18496 18788 19756 20923 20944 21472 21952 22001 22253 22814 23324 23716 23912 23936 25144 25432 26656 27104 27328 27389 28322 28736 28798 29036 29524 30184 30532 32368 32879 32912 33184 34496 34573 34969 35258 36652 36992 37576 39512 41503 41846 41888 42944 43904 44002 44506 45628 46648 47432 47824 50288 50813 50864 51667 53312 53431 54208 54329 54656 54778 56644 57472 57596 58072 59048 60368 61064 64141 64736 65758 65824 66368 68992 69146 69938 70516 73304 75152 79024 79849 83006 83692 83776 83963 85888 88004 89012 91256 93296 94864 95648 99127 100576 100793 101626 101728 103334 106624 106862 108416 108658 109556 113288 115192 116144 118096 120736 122128 123403 125477 128282 129472 129761 131516 131648 132736 138292 139876 141032 146608 150304 154007 155771 158048 159698 166012 167384 167552 167926 176008 178024 182512 186592 189728 191296 191723 193919 198254 201152 201586 203252 203456 206668 213724 217316 219112 226576 230153 230384 232288 236192 241472 242011 244256 244783 246806 250954 256564 258944 259522 263032 263296 276584 279752 282064 293216 300608 301279 308014 311542 316096 319396 332024 334768 335852 352016 355691 356048 361669 365024 373184 374017 379456 380303 382592 383446 387838 396508 402304 403172 406504 406912 413336 427448 434632 438224 453152 460306 460768 464576 465613 472384 482944 484022 488512 489566 493612 501908 513128 519044 526064 553168 558943 559504 564128 586432 587741 601216 602558 616028 623084 632192 638792 664048 669536 671704 704032 705551 711382 712096 723338 730048 746368 748034 758912 760606 766892 775676 793016 806344 813008 826672 854896 863821 869264 876448 878339 906304 908327 920612 921536 923593 929152 931226 944768 968044 977024 979132 987224 1003816 1026256 1038088 1052128 1090397 1106336 1117886 1119008 1128256 1172864 1175482 1205116 1232056 1246168 1277584 1328096 1339072 1342061 1343408 1357433 1408064 1411102 1422764 1424192 1427371 1446676 1460096 1496068 1521212 1533784 1551352 1586032 1612688 1626016 1653344 1694077 1709792 1713481 1727642 1738528 1752896 1756678 1812608 1816654 1841224 1843072 1847186 1862452 1936088 1958264 1974448 2007632 2052512 2076176 2104256 2108953 2133109 2180794 2212672 2235772 2238016 2256512 2350964 2410232 2464112 2492336 2531683 2555168 2618119 2656192 2662121 2678144 2684122 2686816 2714866 2816128 2822204 2845528 2848384 2854742 2893352 2992136 3042424 3067568 3102704 3172064 3225376 3252032 3259291 3306688 3314069 3388154 3419584 3426962 3455284 3477056 3505792 3513356 3633308 3682448 3694372 3724904 3872176 3912601 3916528 3948896 4015264 4105024 4114187 4152352 4208512 4217906 4266218 4361588 4425344 4471544 4476032 4701928 4820464 4928224 4984672 5063366 5110336 5121743 5236238 5312384 5324242 5368244 5373632 5429732 5644408 5691056 5709484 5786704 5984272 6046747 6084848 6135136 6148373 6205408 6344128 6358289 6450752 6465151 6504064 6518582 6613376 6628138 6776308 6839168 6853924 6910568 6954112 7026712 7266616 7364896 7388744 7449808 7744352 7825202 7833056 7897792 7915421 8030528 8210048 8228374 8304704 8435812 8532436 8723176 8943088 9394427 9403856 9502031 9640928 9856448 9969344 9991597 10126732 10220672 10243486 10472476 10648484 10736488 10747264 10859464 11288816 11382112 11418968 11573408 11968544 11994367 12093494 12169696 12270272 12296746 12410816 12688256 12716578 12901504 12930302 13037164 13256276 13552616 13707848 13821136 14053424 14533232 14729792 14762671 14777488 14899616 14931763 15488704 15650404 15666112 15701081 15795584 15830842 16061056 16456748 16609408 16871624 17064872 17446352 17886176 18634847 18788854 18807712 19004062 19281856 19712896 19938688 19983194 20253464 20486972 20944952 21296968 21472976 21718928 22577632 22764224 22815037 22837936 23146816 23198483 23937088 23988734 24186988 24339392 24540544 24593492 24821632 25433156 25860604 26074328 26512552 27105232 27415696 27642272 28106848 28799309 29066464 29459584 29525342 29554976 29799232 29863526 30977408 31300808 31332224 31402162 31661684 32913496 33743248 34129744 34892704 35772352 35852201 37269694 37577708 37615424 38008124 38563712 39966388 40506928 40973944 41889904 42593936 42945952 43038611 43437856 44508023 45155264 45256057 45528448 45630074 45675872 46293632 46396966 47874176 47977468 48373976 48678784 49186984 50866312 51721208 52148656 53025104 54210464 54831392 55284544 55407947 56213696 56339173 57598618 58132928 59050684 59109952 59598464 59727052 62601616 62804324 63323368 65826992 66514217 67486496 68259488 69785408 69941179 71544704 71704402 74539388 75155416 75230848 76016248 79932776 81013856 81947888 83779808 85187872 85891904 86077222 86875712 87069631 89016046 90310528 90512114 91260148 91351744 92793932 95954936 96747952 98373968 101732624 103338697 103442416 104297312 104522341 106050208 108420928 109662784 109907567 110569088 110815894 112427392 112678346 115197236 116265856 118101368 118219904 119454104 125203232 125608648 126646736 131653984 133028434 134972992 136518976 139570816 139882358 143408804 149078776 150310832 152032496 159705259 159865552 162027712 162389381 163895776 167559616 170375744 171783808 172154444 173751424 174139262 178032092 181024228 182520296 182703488 185587864 191909872 193495904 196747936 203465248 206677394 206884832 208594624 209044682 212100416 216841856 219325568 219815134 221631788 225356692 230394472 236202736 238908208 250406464 250965407 251217296 253293472 263307968 266056868 269945984 273037952 279764716 286817608 298157552 300621664 304064992 316792399 319410518 319731104 324055424 324778762 327791552 335119232 340751488 344308888 348278524 356064184 362048456 365040592 371175728 383819744 386991808 387855629 393495872 394374211 406930496 413354788 413769664 417189248 418089364 424200832 439630268 443263576 450713384 460788944 472405472 477816416 489588253 500812928 501930814 502434592 506586944 526615936 532113736 559529432 573635216 596315104 601243328 608129984 609487417 633584798 638821036 639462208 649557524 655583104 688617776 696557048 712128368 724096912 730081184 731656387 742351456 767639488 769352969 773983616 775711258 786991744 788748422 813860992 826709576 827539328 836178728 879260536 886527152 901426768 921577888 944810944 955632832 957765941 979176506 1003861628 1004869184 1013173888 1064227472 1119058864 1136725667 1147270432 1192630208 1202486656 1216259968 1218974834 1267169596 1277642072 1278924416 1299115048 1377235552 1393114096 1424256736 1448193824 1460162368 1463312774 1484702912 1535278976 1538705938 1551422516 1577496844 1653419152 1672357456 1756757849 1758521072 1773054304 1802853536 1843155776 1889621888 1911265664 1915531882 1958353012 2007723256 2009738368 2128454944 2238117728 2273451334 2294540864 2385260416 2437949668 2534339192 2555284144 2598230096 2714989403 2754471104 2760619477 2786228192 2848513472 2896387648 2920324736 2926625548 2969405824 3077411876 3102845032 3154993688 3306838304 3344714912 3513515698 3517042144 3546108608 3605707072 3686311552 3831063764 3916706024 4015446512 4256909888 4266411919 4476235456 4546902668 4589081728 4875899336 5068678384 5110568288 5196460192 5385470783 5429978806 5508942208 5521238954 5572456384 5697026944 5792775296 5853251096 6154823752 6205690064 6309987376 6613676608 6689429824 6704361587 7027031396 7034084288 7092217216 7211414144 7662127528 7833412048 8030893024 8513819776 8532823838 8952470912 9093805336 9751798672 10137356768 10221136576 10392920384 10770941566 10859957612 11042477908 11144912768 11706502192 12309647504 12411380128 12619974752 13227353216 13378859648 13408723174 14054062792 14068168576 15324255056 15666824096 16061786048 17065647676 18187610672 19324336339 19503597344 20274713536 20442273152 20785840768 21541883132 21719915224 22084955816 23413004384 24619295008 24822760256 25239949504 26817446348 28108125584 29864883433 30648510112 31333648192 32123572096 34131295352 36375221344 38648672678 39007194688 40549427072 43083766264 43439830448 44169911632 46826008768 46930531109 49238590016 49645520512 50479899008 53634892696 56216251168 59729766866 61297020224 62667296384 68262590704 72750442688 77297345356 78014389376 86167532528 86879660896 88339823264 93652017536 93861062218 98477180032 107269785392 112432502336 119459533732 122594040448 136525181408 145500885376 154594690712 172335065056 173759321792 176679646528 187722124436 214539570784 224865004672 238919067464 273050362816 309189381424 328513717763 344670130112 347518643584 353359293056 375444248872 429079141568 477838134928 546100725632 618378762848 657027435526 689340260224 750888497744 858158283136 955676269856 1236757525696 1314054871052 1501776995488 1911352539712 2473515051392 2628109742104 3003553990976 3822705079424 5256219484208 6007107981952 10512438968416 21024877936832 42049755873664
- Sum of all divisors σ(n): 116196859800000
- Sum of proper divisors (its aliquot sum) s(n): 74147103926336
- 42049755873664 is an abundant number, because the sum of its proper divisors (74147103926336) is greater than itself. Its abundance is 32097348052672
Bases of 42049755873664
- Binary: 10011000111110011110001100001100000001100000002
- Hexadecimal: 0x263E78C30180
- Base-36: EWLE2YD8G
Squares and roots of 42049755873664
- 42049755873664 squared (420497558736642) is 1768181969034740067928784896
- 42049755873664 cubed (420497558736643) is 74351620138125338139855909031434407378944
-
The
square root of 42049755873664 is 6484578.3111675041 -
The
cube root of 42049755873664 is 34773.9874401793
Scales and comparisons
How big is 42049755873664?- 42,049,755,873,664 seconds is equal to 1,337,052 years, 8 weeks, 5 days, 6 hours, 41 minutes, 4 seconds.
-
To count from 1 to 42,049,755,873,664 would take you about three million, three hundred forty-two thousand, six hundred thirty 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 42049755873664 cubic inches would be around 2897.8 feet tall.
Recreational maths with 42049755873664
- 42049755873664 backwards is 46637855794024
- The number of decimal digits it has is: 14
- The sum of 42049755873664's digits is 70
- More coming soon!
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The information we have on file for 42049755873664 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 42049755873664, math, Factors of 42049755873664, curriculum, school, college, exams, university, Prime factorization of 42049755873664, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, forty-nine billion, seven hundred fifty-five million, eight hundred seventy-three thousand, six hundred sixty-four.