42128957019489984
42,128,957,019,489,984 is an even composite number composed of five prime numbers multiplied together.
42128957019489984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42128957019489984:
26 × 33 × 73 × 1012 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 101 × 101 × 191 × 191 × 191)See below for interesting mathematical facts about the number 42128957019489984 from the Numbermatics database.
Names of 42128957019489984
- Cardinal: 42128957019489984 can be written as Forty-two quadrillion, one hundred twenty-eight trillion, nine hundred fifty-seven billion, nineteen million, four hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2128957019489984 × 1016
Factors of 42128957019489984
Divisors of 42128957019489984
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 101 108 112 126 144 147 168 189 191 192 196 202 216 224 252 288 294 303 336 343 378 382 392 404 432 441 448 504 573 576 588 606 672 686 707 756 764 784 808 864 882 909 1008 1029 1146 1176 1212 1323 1337 1344 1372 1414 1512 1528 1568 1616 1719 1728 1764 1818 2016 2058 2121 2292 2352 2424 2646 2674 2727 2744 2828 3024 3056 3087 3136 3232 3438 3528 3636 4011 4032 4116 4242 4584 4704 4848 4949 5157 5292 5348 5454 5488 5656 6048 6112 6174 6363 6464 6876 7056 7272 8022 8232 8484 9168 9261 9359 9408 9696 9898 10201 10314 10584 10696 10908 10976 11312 12033 12096 12224 12348 12726 13752 14112 14544 14847 16044 16464 16968 18336 18522 18718 19089 19291 19392 19796 20402 20628 21168 21392 21816 21952 22624 24066 24696 25452 27504 28077 28224 29088 29694 30603 32088 32928 33936 34643 36099 36481 36672 37044 37436 38178 38582 39592 40804 41256 42336 42784 43632 44541 45248 48132 49392 50904 55008 56154 57873 58176 59388 61206 64176 65513 65856 67872 69286 71407 72198 72962 74088 74872 76356 77164 79184 81608 82512 84231 84672 85568 87264 89082 91809 96264 98784 101808 103929 109443 110016 112308 115746 118776 122412 128352 131026 133623 135037 135744 138572 142814 144396 145924 148176 149744 152712 154328 158368 163216 165024 168462 173619 174528 178164 183618 192528 196539 197568 203616 207858 214221 218886 224616 231492 237552 244824 252693 255367 256704 262052 267246 270074 275427 277144 285628 288792 291848 296352 299488 305424 308656 311787 316736 326432 328329 330048 336924 347238 356328 367236 385056 393078 405111 407232 415716 428442 437772 449232 462984 475104 489648 499849 505386 510734 520857 524104 534492 540148 550854 554288 571256 577584 583696 589617 592704 598976 610848 617312 623574 642663 652864 656658 673848 694476 712656 734472 766101 770112 786156 810222 831432 856884 875544 898464 925968 935361 945259 950208 979296 984987 999698 1010772 1021468 1041714 1048208 1068984 1080296 1101708 1108576 1142512 1155168 1167392 1179234 1215333 1221696 1234624 1247148 1285326 1313316 1347696 1388952 1425312 1468944 1499547 1532202 1572312 1620444 1662864 1713768 1751088 1768851 1787569 1796928 1851936 1870722 1890518 1927989 1948391 1958592 1969974 1999396 2021544 2042936 2083428 2096416 2137968 2160592 2203416 2217152 2285024 2298303 2310336 2334784 2358468 2430666 2494296 2570652 2626632 2695392 2777904 2835777 2850624 2937888 2999094 3064404 3144624 3240888 3325728 3427536 3498943 3502176 3537702 3575138 3645999 3684581 3703872 3741444 3781036 3855978 3896782 3939948 3998792 4043088 4085872 4166856 4192832 4275936 4321184 4406832 4498641 4570048 4596606 4716936 4861332 4988592 5141304 5253264 5362707 5390784 5555808 5671554 5845173 5875776 5998188 6128808 6289248 6481776 6616813 6651456 6855072 6894909 6967871 6997886 7004352 7075404 7150276 7291998 7369162 7482888 7562072 7711956 7793564 7879896 7997584 8086176 8171744 8333712 8507331 8551872 8642368 8813664 8997282 9193212 9433872 9722664 9977184 10282608 10496829 10506528 10725414 11053743 11111616 11343108 11690346 11996376 12257616 12512983 12578496 12963552 13233626 13495923 13638737 13710144 13789818 13935742 13995772 14150808 14300552 14583996 14738324 14965776 15124144 15423912 15587128 15759792 15995168 16088121 16172352 16343488 16667424 17014662 17535519 17627328 17994564 18386424 18867744 19445328 19850439 19954368 20565216 20903613 20993658 21013056 21450828 22107486 22686216 23380692 23992752 24515232 25025966 25521993 25792067 25927104 26467252 26991846 27277474 27579636 27871484 27991544 28301616 28601104 29167992 29476648 29931552 30248288 30847824 31174256 31490487 31519584 31990336 32176242 33161229 33334848 34029324 35071038 35989128 36772848 37538949 37735488 38890656 39700878 40916211 41130432 41807226 41987316 42901656 44214972 45372432 46761384 47985504 48264363 48775097 49030464 50051932 51043986 51584134 52606557 52934504 53983692 54554948 55159272 55742968 55983088 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118230835128 121325883168 125039940816 127644939583 128313237696 129058906662 133009689519 135120954432 136491618564 137935974316 140669933418 142158504142 144352392408 145879930952 147495893328 152011073736 152958704192 155990421216 157641113504 160765638192 164114922321 164974162752 166719921088 172078542216 177346252692 181988824752 187559911224 192469856544 196661191104 202681431648 206903961474 213237756213 214354184256 218819896428 229438056288 236461670256 241387955053 242651766336 250079881632 255289879166 258117813324 266019379038 272983237128 275871948632 281339866836 284317008284 288704784816 291759861904 294991786656 304022147472 310355942211 311980842432 315282227008 321531276384 328229844642 344157084432 354692505384 363977649504 375119822448 382934818749 384939713088 405362863296 413807922948 426475512426 437639792856 458876112576 472923340512 482775910106 492344766963 497554764497 500159763264 510579758332 516235626648 532038758076 545966474256 551743897264 562679733672 568634016568 577409569632 583519723808 589983573312 608044294944 620711884422 639713268639 643062552768 656459689284 688314168864 709385010768 724163865159 727955299008 750239644896 765869637498 827615845896 852951024852 875279585712 931067826633 945846681024 965551820212 984689533926 995109528994 1021159516664 1032471253296 1064077516152 1091932948512 1103487794528 1125359467344 1137268033136 1148804456247 1154819139264 1167039447616 1216088589888 1241423768844 1279426537278 1312919378568 1376628337728 1418770021536 1448327730318 1492664293491 1500479289792 1531739274996 1655231691792 1705902049704 1750559171424 1862135653266 1919139805917 1931103640424 1969379067852 1990219057988 2042319033328 2064942506592 2128155032304 2172491595477 2183865897024 2206975589056 2250718934688 2274536066272 2297608912494 2482847537688 2558853074556 2625838757136 2837540043072 2896655460636 2985328586982 3063478549992 3310463383584 3411804099408 3446413368741 3482883351479 3501118342848 3724271306532 3838279611834 3862207280848 3938758135704 3980438115976 4084638066656 4129885013184 4256310064608 4344983190954 4477992880473 4501437869376 4549072132544 4595217824988 4965695075376 5117706149112 5251677514272 5793310921272 5970657173964 6126957099984 6517474786431 6620926767168 6823608198816 6892826737482 6965766702958 7448542613064 7676559223668 7724414561696 7877516271408 7960876231952 8169276133312 8512620129216 8689966381908 8955985760946 9190435649976 9931390150752 10235412298224 10448650054437 10503355028544 11586621842544 11941314347928 12253914199968 13034949572862 13433978641419 13647216397632 13785653474964 13931533405916 14897085226128 15353118447336 15448829123392 15755032542816 15921752463904 17379932763816 17911971521892 18380871299952 19862780301504 20470824596448 20897300108874 23173243685088 23882628695856 24380183460353 24507828399936 26069899145724 26867957282838 27571306949928 27863066811832 29794170452256 30706236894672 31345950163311 31510065085632 31843504927808 34759865527632 35823943043784 36761742599904 40941649192896 41794600217748 46346487370176 47765257391712 48760366920706 52139798291448 53735914565676 55142613899856 55726133623664 59588340904512 61412473789344 62691900326622 69519731055264 71647886087568 73140550381059 73523485199808 83589200435496 94037850489933 95530514783424 97520733841412 104279596582896 107471829131352 110285227799712 111452267247328 122824947578688 125383800653244 139039462110528 143295772175136 146281100762118 167178400870992 188075700979866 195041467682824 208559193165792 214943658262704 219421651143177 220570455599424 222904534494656 250767601306488 286591544350272 292562201524236 334356801741984 376151401959732 390082935365648 417118386331584 429887316525408 438843302286354 501535202612976 585124403048472 658264953429531 668713603483968 752302803919464 780165870731296 859774633050816 877686604572708 1003070405225952 1170248806096944 1316529906859062 1504605607838928 1560331741462592 1755373209145416 2006140810451904 2340497612193888 2633059813718124 3009211215677856 3510746418290832 4680995224387776 5266119627436248 6018422431355712 7021492836581664 10532239254872496 14042985673163328 21064478509744992 42128957019489984
- Sum of all divisors σ(n): 146645003802624000
- Sum of proper divisors (its aliquot sum) s(n): 104516046783134016
- 42128957019489984 is an abundant number, because the sum of its proper divisors (104516046783134016) is greater than itself. Its abundance is 62387089763644032
Bases of 42128957019489984
- Binary: 100101011010110000010000001011011110011110000110110000002
- Hexadecimal: 0x95AC102DE786C0
- Base-36: BITGVO7YUO0
Squares and roots of 42128957019489984
- 42128957019489984 squared (421289570194899842) is 1774849019550034396113235476320256
- 42128957019489984 cubed (421289570194899843) is 74772538060707337415821322092467204874706168315904
-
The
square root of 42128957019489984 is 205253397.0961016373 -
The
cube root of 42128957019489984 is 347958.0613448593
Scales and comparisons
How big is 42128957019489984?- 42,128,957,019,489,984 seconds is equal to 1,339,570,519 years, 41 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 42,128,957,019,489,984 would take you about four billion, eighteen million, seven hundred eleven thousand, five hundred fifty-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 42128957019489984 cubic inches would be around 28996.5 feet tall.
Recreational maths with 42128957019489984
- 42128957019489984 backwards is 48998491075982124
- The number of decimal digits it has is: 17
- The sum of 42128957019489984's digits is 90
- More coming soon!
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"Number 42128957019489984 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42128957019489984 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42128957019489984/
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The information we have on file for 42128957019489984 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 42128957019489984, math, Factors of 42128957019489984, curriculum, school, college, exams, university, Prime factorization of 42128957019489984, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred twenty-eight trillion, nine hundred fifty-seven billion, nineteen million, four hundred eighty-nine thousand, nine hundred eighty-four.