42048166928768
42,048,166,928,768 is an even composite number composed of seven prime numbers multiplied together.
42048166928768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42048166928768:
27 × 7 × 112 × 132 × 23 × 113 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 13 × 23 × 113 × 883)See below for interesting mathematical facts about the number 42048166928768 from the Numbermatics database.
Names of 42048166928768
- Cardinal: 42048166928768 can be written as Forty-two trillion, forty-eight billion, one hundred sixty-six million, nine hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2048166928768 × 1013
Factors of 42048166928768
Divisors of 42048166928768
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 23 26 28 32 44 46 52 56 64 77 88 91 92 104 112 113 121 128 143 154 161 169 176 182 184 208 224 226 242 253 286 299 308 322 338 352 364 368 416 448 452 484 506 572 598 616 644 676 704 728 736 791 832 847 883 896 904 968 1001 1012 1144 1183 1196 1232 1243 1288 1352 1408 1456 1469 1472 1573 1582 1664 1694 1766 1771 1808 1859 1936 2002 2024 2093 2288 2366 2392 2464 2486 2576 2599 2704 2783 2912 2938 2944 3146 3164 3289 3388 3532 3542 3616 3718 3872 3887 4004 4048 4186 4576 4732 4784 4928 4972 5152 5198 5408 5566 5824 5876 6181 6292 6328 6578 6776 7064 7084 7232 7436 7744 7774 8008 8096 8372 8701 9152 9464 9568 9713 9856 9944 10283 10304 10396 10816 11011 11132 11479 11648 11752 12362 12584 12656 13013 13156 13552 13673 14128 14168 14464 14872 15488 15548 16016 16159 16192 16744 17402 18193 18304 18928 19097 19136 19426 19481 19888 20309 20449 20566 20608 20792 21632 22022 22264 22958 23023 23504 24724 25168 25312 26026 26312 27104 27209 27346 28256 28336 28589 29744 31096 32032 32318 32384 33488 33787 34804 36179 36386 37856 38194 38272 38852 38962 39776 40618 40898 41132 41584 42757 44044 44528 45916 46046 47008 49448 50336 50624 52052 52624 54208 54418 54692 56512 56672 57178 59488 62192 64064 64636 66976 67574 67991 69608 72358 72772 75712 76388 77704 77924 79552 80353 81236 81796 82264 83168 85514 88088 89056 91832 92092 94016 95711 98896 99779 100672 101248 104104 105248 106843 108416 108836 109384 113024 113113 113344 114356 118976 124384 126269 128128 129272 133679 133952 135148 135982 139216 142163 143143 144716 145544 149227 151424 152776 155408 155848 159104 160706 162472 163592 164528 166336 171028 176176 177749 178112 183664 184184 188032 191422 197792 199558 200123 201344 208208 210067 210496 213686 217672 218768 223399 226226 226688 228712 236509 237952 248768 252538 253253 258544 264017 267358 267904 270296 271964 278432 284326 286286 289432 291088 298454 299299 305552 310816 311696 314479 321412 324944 327184 329056 332672 342056 352352 355498 356224 367328 368368 371657 382844 395584 399116 400246 416416 420134 420992 427372 435344 437536 439231 446798 452452 457424 470327 473018 497536 505076 506506 517088 528034 534716 540592 543928 556864 568652 572572 578864 582176 596908 598598 611104 621632 623392 628958 642824 649888 654368 658112 684112 698453 704704 710996 734656 736736 743314 747901 765688 791168 798232 800492 832832 840268 854744 870688 875072 878462 883883 893596 904904 914848 940654 946036 1010152 1013012 1034176 1044589 1056068 1069432 1081184 1087856 1097569 1113728 1137304 1145144 1157728 1164352 1193816 1197196 1222208 1243264 1244243 1246784 1257916 1285648 1297127 1299776 1308736 1316224 1368224 1388959 1396906 1409408 1421992 1469312 1470469 1473472 1486628 1495802 1531376 1563793 1596464 1600984 1641497 1665664 1680536 1709488 1741376 1750144 1756924 1767766 1787192 1809808 1829696 1848119 1881308 1892072 2020304 2026024 2068352 2089178 2112136 2138864 2162368 2175712 2195138 2201353 2274608 2290288 2294917 2310737 2315456 2328704 2387632 2394392 2444416 2457389 2488486 2493568 2515832 2571296 2594254 2599552 2601599 2617472 2736448 2777918 2793812 2843984 2904187 2940938 2946944 2973256 2991604 3062752 3074617 3127586 3192928 3201968 3282994 3292289 3361072 3418976 3432221 3482752 3513848 3535532 3574384 3619616 3659392 3696238 3762616 3784144 4040608 4052048 4088227 4178356 4224272 4277728 4324736 4351424 4390276 4402706 4549216 4580576 4589834 4621474 4630912 4775264 4788784 4831541 4914778 4976972 5031664 5142592 5188508 5203198 5472896 5555836 5587624 5687968 5808374 5881876 5946512 5983208 6125504 6149234 6255172 6385856 6403936 6565988 6584578 6722144 6837952 6864442 7027696 7071064 7148768 7239232 7392476 7525232 7568288 7682983 8081216 8104096 8176454 8356712 8448544 8555456 8702848 8780552 8805412 9079889 9098432 9161152 9179668 9242948 9550528 9577568 9663082 9722713 9829556 9953944 10063328 10285184 10377016 10406396 11111672 11175248 11375936 11490479 11616748 11763752 11893024 11966416 12073259 12251008 12298468 12510344 12771712 12807872 13131976 13169156 13444288 13675904 13728884 14055392 14142128 14268397 14297536 14478464 14784952 15050464 15136576 15365966 16064419 16162432 16175159 16208192 16352908 16713424 16862651 16897088 17110912 17201723 17561104 17610824 18056467 18159778 18196864 18322304 18359336 18485896 19101056 19155136 19326164 19445426 19659112 19907888 20126656 20329309 20754032 20812792 22223344 22350496 22751872 22980958 23233496 23527504 23786048 23932832 24025547 24146518 24596936 25020688 25244087 25615744 26263952 26338312 26888576 27457768 28110784 28284256 28536794 28595072 28617589 29569904 29833921 30100928 30273152 30731932 31946057 32128838 32350318 32416384 32705816 33426848 33725302 33794176 33820787 34403446 35122208 35221648 36112934 36319556 36718672 36971792 37754431 38310272 38652328 38890852 39318224 39815776 40253312 40658618 41508064 41625584 44446688 44700992 45961916 46466992 47055008 47572096 47865664 48051094 48293036 49193872 50041376 50488174 52527904 52676624 53146951 54915536 56221568 56568512 57073588 57235178 59139808 59667842 60201856 61463864 63892114 64257676 64700636 65411632 66853696 67450604 67641574 68806892 70244416 70443296 72225868 72639112 73437344 73943584 75508862 77304656 77781704 78636448 79631552 81317236 83016128 83251168 84512813 88893376 89401984 91923832 92933984 94110016 95731328 96102188 96586072 98387744 99878779 100082752 100976348 105055808 105353248 106293902 109831072 113137024 114147176 114470356 118038557 118279616 119335684 122927728 126395269 127784228 128515352 129401272 130823264 133707392 134901208 135283148 137613784 140488832 140886592 144451736 145278224 146874688 147887168 151017724 154609312 155563408 156952367 157272896 159263104 162634472 166032256 166502336 169025626 176708609 177786752 183847664 185489161 185867968 188220032 192204376 193172144 196775488 199757558 200165504 201952696 208837447 210111616 210706496 212587804 219662144 223622399 228294352 228940712 236077114 236559232 238671368 245855456 252790538 255568456 257030704 258802544 261646528 264281017 269802416 270566296 275227568 277684957 281773184 288903472 290556448 293749376 295774336 302035448 309218624 311126816 313904734 314545792 325268944 328173131 333004672 338051252 353417218 367695328 370978322 371735936 372028657 384408752 386344288 387840973 393550976 399515116 403905392 415298741 417674894 421412992 425175608 439324288 447244798 456588704 457881424 472154228 477342736 491710912 505581076 511136912 514061408 517605088 523293056 528562034 539604832 541132592 550455136 555369914 577806944 581112896 604070896 618437248 622253632 627809468 650537888 656346262 676102504 706834436 735390656 741956644 744057314 768817504 772688576 775681946 799030232 807810784 830597482 835349788 850351216 894489596 913177408 915762848 944308456 954685472 983421824 1011162152 1022273824 1028122816 1035210176 1057124068 1079209664 1082265184 1098666569 1100910272 1110739828 1155613888 1162225792 1208141792 1244507264 1255618936 1298424127 1301075776 1312692524 1352205008 1413668872 1470781312 1483913288 1488114628 1537635008 1545377152 1551363892 1598060464 1615621568 1661194964 1670699576 1700702432 1788979192 1826354816 1831525696 1888616912 1909370944 1943794699 2022324304 2040380771 2044547648 2056245632 2070420352 2114248136 2158419328 2164530368 2197333138 2201820544 2221479656 2297211917 2311227776 2416283584 2511237872 2596848254 2602151552 2625385048 2704410016 2714886811 2827337744 2907091187 2967826576 2976229256 3075270016 3102727784 3196120928 3231243136 3322389928 3341399152 3401404864 3577958384 3609904441 3663051392 3777233824 3818741888 3887589398 4044648608 4080761542 4089095296 4228496272 4266250703 4329060736 4394666276 4442959312 4594423834 4832567168 5022475744 5193696508 5250770096 5408820032 5429773622 5654675488 5814182374 5935653152 5952458512 6205455568 6392241856 6644779856 6682798304 6802809728 7155916768 7219808882 7554467648 7775178796 8089297216 8161523084 8456992544 8532501406 8789332552 8885918624 9188847668 10044951488 10387393016 10501540192 10817640064 10859547244 11309350976 11628364748 11871306304 11904917024 12410911136 12784483712 13289559712 13365596608 14282665397 14311833536 14439617764 15108935296 15550357592 16178594432 16323046168 16913985088 17065002812 17578665104 17771837248 18377695336 20089902976 20774786032 21003080384 21719094488 22618701952 23256729496 23742612608 23809834048 24821822272 25269331087 26579119424 26731193216 28565330794 28623667072 28879235528 29863754921 31100715184 32646092336 33827970176 34130005624 35157330208 35543674496 36755390672 41549572064 42006160768 43438188976 46513458992 46928757733 47619668096 49643644544 50538662174 53158238848 57130661588 57758471056 59727509842 62201430368 65292184672 68260011248 70314660416 73510781344 83099144128 86876377952 93026917984 93857515466 101077324348 114261323176 115516942112 119455019684 124402860736 130584369344 136520022496 140629320832 147021562688 166198288256 173752755904 186053835968 187715030932 202154648696 228522646352 231033884224 238910039368 248805721472 261168738688 273040044992 294043125376 328501304131 347505511808 372107671936 375430061864 404309297392 457045292704 462067768448 477820078736 546080089984 657002608262 750860123728 808618594784 914090585408 955640157472 1314005216524 1501720247456 1617237189568 1828181170816 1911280314944 2628010433048 3003440494912 3234474379136 3822560629888 5256020866096 6006880989824 10512041732192 21024083464384 42048166928768
- Sum of all divisors σ(n): 120088454653440
- Sum of proper divisors (its aliquot sum) s(n): 78040287724672
- 42048166928768 is an abundant number, because the sum of its proper divisors (78040287724672) is greater than itself. Its abundance is 35992120795904
Bases of 42048166928768
- Binary: 10011000111110000110100000110110100001100000002
- Hexadecimal: 0x263E1A0DA180
- Base-36: EWKNSXRI8
Squares and roots of 42048166928768
- 42048166928768 squared (420481669287682) is 1768048342069538941585997824
- 42048166928768 cubed (420481669287683) is 74343191825471479526513883478134811000832
-
The
square root of 42048166928768 is 6484455.7927992693 -
The
cube root of 42048166928768 is 34773.5494301387
Scales and comparisons
How big is 42048166928768?- 42,048,166,928,768 seconds is equal to 1,337,001 years, 33 weeks, 3 days, 17 hours, 6 minutes, 8 seconds.
-
To count from 1 to 42,048,166,928,768 would take you about three million, three hundred forty-two thousand, five hundred 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 42048166928768 cubic inches would be around 2897.8 feet tall.
Recreational maths with 42048166928768
- 42048166928768 backwards is 86782966184024
- The number of decimal digits it has is: 14
- The sum of 42048166928768's digits is 71
- 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 42048166928768 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 42048166928768 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42048166928768/
Chicago style:
Numbermatics. 2024. "Number 42048166928768 - Facts about the integer". https://numbermatics.com/n/42048166928768/
The information we have on file for 42048166928768 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 42048166928768, math, Factors of 42048166928768, curriculum, school, college, exams, university, Prime factorization of 42048166928768, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, forty-eight billion, one hundred sixty-six million, nine hundred twenty-eight thousand, seven hundred sixty-eight.