42133985690069762048
42,133,985,690,069,762,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 42133985690069762048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1458 divisors.
42133985690069762048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 42133985690069762048:
226 × 72 × 312 × 107 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 31 × 31 × 107 × 353 × 353)See below for interesting mathematical facts about the number 42133985690069762048 from the Numbermatics database.
Names of 42133985690069762048
- Cardinal: 42133985690069762048 can be written as Forty-two quintillion, one hundred thirty-three quadrillion, nine hundred eighty-five trillion, six hundred ninety billion, sixty-nine million, seven hundred sixty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 4.2133985690069762048 × 1019
Factors of 42133985690069762048
Divisors of 42133985690069762048
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 107 112 124 128 196 214 217 224 248 256 353 392 428 434 448 496 512 706 749 784 856 868 896 961 992 1024 1412 1498 1519 1568 1712 1736 1792 1922 1984 2048 2471 2824 2996 3038 3136 3317 3424 3472 3584 3844 3968 4096 4942 5243 5648 5992 6076 6272 6634 6727 6848 6944 7168 7688 7936 8192 9884 10486 10943 11296 11984 12152 12544 13268 13454 13696 13888 14336 15376 15872 16384 17297 19768 20972 21886 22592 23219 23968 24304 25088 26536 26908 27392 27776 28672 30752 31744 32768 34594 37771 39536 41944 43772 45184 46438 47089 47936 48608 50176 53072 53816 54784 55552 57344 61504 63488 65536 69188 75542 76601 79072 83888 87544 90368 92876 94178 95872 97216 100352 102827 106144 107632 109568 111104 114688 123008 124609 126976 131072 138376 151084 153202 158144 162533 167776 175088 180736 185752 188356 191744 194432 200704 205654 212288 215264 219136 222208 229376 246016 249218 253952 262144 264397 276752 302168 306404 316288 325066 335552 339233 350176 361472 371504 376712 383488 388864 401408 411308 424576 430528 438272 444416 458752 492032 498436 507904 524288 528794 536207 553504 604336 612808 632576 650132 671104 678466 700352 719789 722944 743008 753424 766976 777728 802816 822616 849152 861056 872263 876544 888832 917504 984064 996872 1015808 1048576 1057588 1072414 1107008 1170901 1208672 1225616 1265152 1300264 1342208 1356932 1400704 1439578 1445888 1486016 1506848 1533952 1555456 1605632 1645232 1698304 1722112 1744526 1753088 1777664 1835008 1850779 1968128 1993744 2031616 2097152 2115176 2144828 2214016 2341802 2374631 2417344 2451232 2530304 2600528 2684416 2713864 2801408 2879156 2891776 2972032 3013696 3067904 3110912 3211264 3290464 3396608 3444224 3489052 3506176 3555328 3670016 3701558 3862879 3936256 3987488 4063232 4194304 4230352 4289656 4428032 4683604 4749262 4834688 4902464 5038523 5060608 5201056 5368832 5427728 5602816 5758312 5783552 5944064 6027392 6105841 6135808 6221824 6422528 6580928 6793216 6888448 6978104 7012352 7110656 7340032 7403116 7725758 7872512 7974976 8126464 8196307 8388608 8460704 8579312 8856064 9367208 9498524 9669376 9804928 10077046 10121216 10402112 10737664 10855456 11205632 11516624 11567104 11888128 12054784 12211682 12271616 12443648 12845056 13161856 13333163 13586432 13776896 13956208 14024704 14221312 14680064 14806232 15451516 15745024 15949952 16252928 16392614 16622417 16777216 16921408 17158624 17712128 18734416 18997048 19338752 19609856 20154092 20242432 20804224 21475328 21710912 22411264 23033248 23134208 23776256 24109568 24423364 24543232 24887296 25690112 26323712 26666326 27040153 27172864 27553792 27912416 28049408 28442624 29360128 29612464 30903032 31490048 31899904 32505856 32785228 33244834 33554432 33842816 34317248 35424256 36297931 37468832 37994096 38677504 39219712 40308184 40484864 41608448 42950656 43421824 44822528 46066496 46268416 47552512 48219136 48846728 49086464 49774592 51380224 52647424 53332652 54080306 54345728 55107584 55824832 56098816 56885248 57374149 58720256 59224928 61806064 62980096 63799808 65011712 65570456 66489668 67108864 67685632 68634496 70848512 72595862 74937664 75988192 77355008 78439424 80616368 80969728 83216896 85901312 86843648 89645056 92132992 92536832 93332141 95105024 96438272 97693456 98172928 99549184 102760448 105294848 106665304 108160612 108691456 110215168 111649664 112197632 113770496 114748298 117440512 118449856 119749249 123612128 125960192 127599616 130023424 131140912 132979336 135371264 137268992 141697024 145191724 149875328 151976384 154710016 156878848 161232736 161939456 166433792 171802624 173687296 179290112 184265984 185073664 186664282 189281071 190210048 192876544 195386912 196345856 199098368 205520896 210589696 213330608 216321224 217382912 220430336 223299328 224395264 227540992 229496596 234881024 236899712 239498498 247224256 251920384 254085517 255199232 260046848 262281824 265958672 270742528 274537984 283394048 290383448 299750656 303952768 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58536579039232 60161155661824 62101838102528 62783094259712 64808355364864 66606993768448 68755606470656 69719470112768 76122278592512 78577835966464 79679394414592 80364200000896 82956593549312 84532388691968 85632612696064 91844800001024 94807535484928 96136613085184 97865843081216 99237794152448 102439013318656 104965485715456 108351469125632 109870414954496 111846677807104 113414621888512 116562239094784 120322311323648 124203676205056 125566188519424 129616710729728 133213987536896 137511212941312 139438940225536 152244557185024 159358788829184 160728400001792 165913187098624 169064777383936 171265225392128 183689600002048 189615070969856 192273226170368 195731686162432 198475588304896 204878026637312 209930971430912 216702938251264 219740829908992 223693355614208 226829243777024 233124478189568 240644622647296 251132377038848 259233421459456 266427975073792 275022425882624 278877880451072 304489114370048 321456800003584 331826374197248 338129554767872 342530450784256 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3131706978598912 3175609412878336 3358895542894592 3467247012020224 3515853278543872 3729991651033088 3850313962356736 4018118032621568 4262847601180672 5143308800057344 5309221987155968 5480487212548096 5878067200065536 6067682271035392 6152743237451776 6263413957197824 6351218825756672 6717791085789184 6934494024040448 7031706557087744 7459983302066176 8036236065243136 8525695202361344 10286617600114688 10618443974311936 10960974425096192 11756134400131072 12135364542070784 12305486474903552 12702437651513344 13435582171578368 13868988048080896 14063413114175488 14919966604132352 17051390404722688 20573235200229376 21236887948623872 21921948850192384 23512268800262144 24270729084141568 24610972949807104 26871164343156736 27737976096161792 28126826228350976 29839933208264704 41146470400458752 42473775897247744 43843897700384768 47024537600524288 48541458168283136 49221945899614208 53742328686313472 56253652456701952 59679866416529408 82292940800917504 84947551794495488 94049075201048576 97082916336566272 98443891799228416 107484657372626944 119359732833058816 164585881601835008 169895103588990976 188098150402097152 194165832673132544 196887783598456832 214969314745253888 329171763203670016 339790207177981952 376196300804194304 393775567196913664 429938629490507776 658343526407340032 679580414355963904 752392601608388608 859877258981015552 1316687052814680064 1359160828711927808 1504785203216777216 2633374105629360128 3009570406433554432 5266748211258720256 6019140812867108864 10533496422517440512 21066992845034881024 42133985690069762048
- Sum of all divisors σ(n): 102527220097181055708
- Sum of proper divisors (its aliquot sum) s(n): 60393234407111293660
- 42133985690069762048 is an abundant number, because the sum of its proper divisors (60393234407111293660) is greater than itself. Its abundance is 18259248717041531612
Bases of 42133985690069762048
- Binary: 1001001000101110011111110010111111111011000000000000000000000000002
- Hexadecimal: 0x248B9FCBFEC000000
- Base-36: 8W443EC6QVOJK
Squares and roots of 42133985690069762048
- 42133985690069762048 squared (421339856900697620482) is 1775272750131003482364279052983341154304
- 42133985690069762048 cubed (421339856900697620483) is 74799316649990493014084432056791711992612436298566931054592
-
The
square root of 42133985690069762048 is 6491069687.6608682769 -
The
cube root of 42133985690069762048 is 3479719.0532118749
Scales and comparisons
How big is 42133985690069762048?- 42,133,985,690,069,762,048 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,133,985,690,069,762,048 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42133985690069762048 cubic inches would be around 289976.6 feet tall.
Recreational maths with 42133985690069762048
- 42133985690069762048 backwards is 84026796009658933124
- The number of decimal digits it has is: 20
- The sum of 42133985690069762048's digits is 92
- More coming soon!
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"Number 42133985690069762048 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 42133985690069762048 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/42133985690069762048/
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Numbermatics. 2024. "Number 42133985690069762048 - Facts about the integer". https://numbermatics.com/n/42133985690069762048/
The information we have on file for 42133985690069762048 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 42133985690069762048, math, Factors of 42133985690069762048, curriculum, school, college, exams, university, Prime factorization of 42133985690069762048, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, one hundred thirty-three quadrillion, nine hundred eighty-five trillion, six hundred ninety billion, sixty-nine million, seven hundred sixty-two thousand and forty-eight.