42122525794397664
42,122,525,794,397,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 42122525794397664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
42122525794397664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42122525794397664:
25 × 3 × 72 × 112 × 613 × 5712
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 61 × 61 × 61 × 571 × 571)See below for interesting mathematical facts about the number 42122525794397664 from the Numbermatics database.
Names of 42122525794397664
- Cardinal: 42122525794397664 can be written as Forty-two quadrillion, one hundred twenty-two trillion, five hundred twenty-five billion, seven hundred ninety-four million, three hundred ninety-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2122525794397664 × 1016
Factors of 42122525794397664
Divisors of 42122525794397664
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 61 66 77 84 88 96 98 112 121 122 132 147 154 168 176 183 196 224 231 242 244 264 294 308 336 352 363 366 392 427 462 484 488 528 539 571 588 616 671 672 726 732 784 847 854 924 968 976 1056 1078 1142 1176 1232 1281 1342 1452 1464 1568 1617 1694 1708 1713 1848 1936 1952 2013 2156 2284 2352 2464 2541 2562 2684 2904 2928 2989 3234 3388 3416 3426 3696 3721 3872 3997 4026 4312 4568 4697 4704 5082 5124 5368 5808 5856 5929 5978 6281 6468 6776 6832 6852 7381 7392 7442 7994 8052 8624 8967 9136 9394 10164 10248 10736 11163 11616 11858 11956 11991 12562 12936 13552 13664 13704 14091 14762 14884 15988 16104 17248 17787 17934 18272 18788 18843 20328 20496 21472 22143 22326 23716 23912 23982 25124 25872 26047 27104 27408 27979 28182 29524 29768 31976 32208 32879 34831 35574 35868 37576 37686 40656 40931 40992 43967 44286 44652 47432 47824 47964 50248 51667 51744 52094 54816 55958 56364 59048 59536 63952 64416 65758 69091 69662 71148 71736 75152 75372 78141 81312 81862 83937 87934 88572 89304 94864 95648 95928 98637 100496 103334 104188 104493 111916 112728 118096 119072 122793 127904 131516 131901 138182 139324 142296 143472 150304 150744 155001 156282 163724 167874 175868 177144 178608 182329 189728 191856 197274 200992 206668 207273 208376 208986 223832 225456 226981 236192 243817 245586 263032 263802 276364 278648 284592 286517 286944 301488 307769 310002 312564 326041 327448 335748 351736 354288 357216 361669 364658 383141 383712 394548 413336 414546 416752 417972 447664 450241 450912 453962 483637 487634 491172 526064 527604 546987 552728 557296 569184 573034 602976 615538 620004 625128 652082 654896 671496 680943 703472 708576 723338 729316 731451 766282 789096 826672 829092 833504 835944 859551 895328 900482 907924 923307 967274 975268 978123 982344 1052128 1055208 1085007 1093974 1105456 1114592 1146068 1149423 1231076 1240008 1250256 1304164 1309792 1342992 1350723 1361886 1406944 1446676 1450911 1458632 1462902 1532564 1578192 1588867 1653344 1658184 1671888 1706719 1719102 1800964 1815848 1846614 1934548 1950536 1956246 1964688 2005619 2110416 2124691 2170014 2187948 2210912 2282287 2292136 2298846 2462152 2480016 2496791 2500512 2608328 2681987 2685984 2701446 2723772 2893352 2901822 2917264 2925804 3065128 3151687 3156384 3177734 3316368 3343776 3385459 3413438 3438204 3586451 3601928 3631696 3693228 3869096 3901072 3912492 3929376 4011238 4214551 4220832 4249382 4340028 4375896 4564574 4584272 4597692 4766601 4924304 4960032 4993582 5120157 5216656 5363974 5402892 5447544 5786704 5803644 5834528 5851608 6016857 6130256 6303374 6355468 6374073 6632736 6770918 6826876 6846861 6876408 7172902 7203856 7263392 7386456 7490373 7738192 7802144 7824984 8022476 8045961 8429102 8498764 8680056 8751792 9129148 9168544 9195384 9455061 9533202 9848608 9987164 10156377 10240314 10433312 10727948 10759353 10805784 10895088 11122069 11573408 11607288 11703216 12033714 12260512 12606748 12643653 12710936 12748146 13541836 13653752 13693722 13752816 14345804 14407712 14772912 14872837 14980746 15476384 15649968 15976009 16044952 16091922 16858204 16997528 17360112 17477537 17503584 18258296 18390768 18773909 18910122 19066404 19888501 19974328 20312754 20480628 21455896 21518706 21611568 21790176 22061809 22244138 23214576 23371601 23406432 24067428 25105157 25213496 25287306 25421872 25496292 27083672 27307504 27387444 27464701 27505632 28691608 29501857 29545824 29745674 29961492 31299936 31952018 32089904 32183844 33366207 33716408 33995056 34720224 34955074 36516592 36781536 37547818 37820244 38132808 39450961 39777002 39948656 40625508 40961256 42911792 43037412 43223136 44123618 44488276 44618511 46429152 46743202 47928027 48134856 50210314 50426992 50574612 50843744 50992584 52432611 54167344 54615008 54774888 54929402 56321727 57383216 59003714 59491348 59665503 59922984 63904036 64179808 64367688 66185427 66732414 67432816 67990112 69910148 70114803 73033184 75095636 75315471 75640488 76265616 78901922 79554004 79897312 81251016 81922512 82394103 85823584 86074824 88247236 88505571 88976552 89237022 93486404 95856054 96269712 100420628 100853984 101149224 101985168 104109859 104865222 108334688 109549776 109858804 112643454 114766432 118007428 118352883 118982696 119331006 119845968 122342759 127808072 128735376 129606151 132370854 133464828 134865632 139219507 139820296 140229606 150191272 150630942 151280976 152531232 157803844 159108008 162502032 163601207 163845024 164788206 172149648 175736099 176494472 177011142 177953104 178474044 186972808 191712108 192252907 192539424 200841256 202298448 203970336 206512999 208219718 209730444 218773511 219099552 219717608 225286908 236014856 236705766 237965392 238662012 239691936 244685518 255616144 257087611 257470752 259212302 264741708 266929656 276156727 278439014 279640592 280459212 300382544 301261884 302561952 312329577 315607688 318216016 325004064 327202414 329576412 344299296 351472198 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6871250694 7000752352 7198453108 7219525863 7257944456 7279191366 7732388356 7796292392 7852857936 8074622094 8226803552 8435332752 8492389927 8554005966 8837015264 9161667592 9188487462 9228139536 9626034484 9705588488 9912623952 9979673627 9994546464 10501128528 10719902039 10766162792 10797679662 10886916684 11405341288 11598582534 11694438588 11744904864 12251316616 12340205328 12442190496 12597292939 12701402798 13255522896 13345184171 13365072672 13742501388 14396906216 14439051726 14515888912 14558382732 15464776712 15592584784 15682344271 15705715872 16149244188 16845560347 16870665504 16984779854 17108011932 18323335184 18376974924 18456279072 19052104197 19252068968 19411176976 19825247904 19959347254 21002257056 21439804078 21532325584 21595359324 21773833368 22810682576 23197165068 23388877176 24502633232 24680410656 25194585878 25402805596 25477169781 26511045792 26690368342 27485002776 28793812432 28878103452 29031777824 29116765464 29939020881 30929553424 31185169568 31364688542 32159706117 32298488376 33691120694 33969559708 34216023864 36646670368 36753949848 37791878817 38104208394 38504137936 38822353952 39918694508 40035552513 42879608156 43064651168 43190718648 43547666736 45621365152 46394330136 46777754352 47047032813 49005266464 50389171756 50536681041 50805611192 50954339562 53380736684 54970005552 57587624864 57756206904 58233530928 59446729489 59878041762 61859106848 62729377084 64319412234 64596976752 67382241388 67939119416 68432047728 69857715389 73507899696 74005112221 75583757634 76208416788 77008275872 79837389016 80071105026 85759216312 86381437296 87095333472 92788660272 93416289197 93555508704 94094065626 100778343512 101073362082 101611222384 101908679124 106761473368 109776409897 109940011104 115512413808 116467061856 117918922429 118893458978 119756083524 125458754168 128638824468 129193953504 134764482776 135878238832 136864095456 139715430778 146797025881 147015799392 148010224442 151167515268 152416833576 159674778032 160142210052 171518432624 172762874592 178340188467 185577320544 186832578394 188188131252 201556687024 202146724164 203222444768 203817358248 209573146167 213522946736 219552819794 222015336663 231024827616 235837844858 237786917956 239512167048 250917508336 257277648936 269528965552 271756477664 279430861556 280248867591 293594051762 296020448884 302335030536 304833667152 319349556064 320284420104 329329229691 343036865248 353756767287 356680376934 373665156788 376376262504 403113374048 404293448328 407634716496 419146292334 427045893472 439105639588 440391077643 444030673326 471675689716 475573835912 479024334096 501835016672 514555297872 518035785547 539057931104 558861723112 560497735182 587188103524 592040897768 604670061072 609667334304 640568840208 653914024379 658658459382 707513534574 713360753868 747330313576 752752525008 768434869279 808586896656 814056234431 815269432992 838292584668 878211279176 880782155286 888061346652 943351379432 951147671824 958048668192 1027579181167 1029110595744 1036071571094 1117723446224 1120995470364 1174376207048 1184081795536 1209340122144 1281137680416 1307828048758 1317316918764 1415027069148 1426721507736 1494660627152 1505505050016 1536869738558 1554107356641 1617173793312 1628112468862 1676585169336 1756422558352 1761564310572 1776122693304 1886702758864 1902295343648 1961742073137 2055158362334 2072143142188 2235446892448 2241990940728 2305304607837 2348752414096 2368163591072 2442168703293 2615656097516 2634633837528 2830054138296 2853443015472 2989321254304 3073739477116 3082737543501 3108214713282 3256224937724 3353170338672 3512845116704 3523128621144 3552245386608 3626250498829 3773405517728 3923484146274 4110316724668 4144286284376 4483981881456 4610609215674 4697504828192 4884337406586 5231312195032 5269267675056 5660108276592 5698393641017 5706886030944 6147478954232 6165475087002 6216429426564 6512449875448 6706340677344 7046257242288 7104490773216 7193054268169 7252500997658 7846968292548 8220633449336 8288572568752 8954618578741 8967963762912 9221218431348 9768674813172 10462624390064 10538535350112 10878751496487 11320216553184 11396787282034 12294957908464 12330950174004 12432858853128 13024899750896 14092514484576 14386108536338 14505001995316 15693936585096 16441266898672 16577145137504 17095180923051 17909237157482 18442436862696 19537349626344 20925248780128 21579162804507 21757502992974 22793574564068 24589915816928 24661900348008 24865717706256 26049799501792 26863855736223 28772217072676 29010003990632 31387873170192 32882533797344 34190361846102 35818474314964 36884873725392 39074699252688 39888755487119 43158325609014 43515005985948 45587149128136 49323800696016 49731435412512 53727711472446 57544434145352 58020007981264 62682330051187 62775746340384 68380723692204 71636948629928 73769747450784 78149398505376 79777510974238 86316651218028 87030011971896 91174298256272 98647601392032 107455422944892 115088868290704 116040015962528 119666266461357 125364660102374 136761447384408 143273897259856 159555021948476 172633302436056 174060023943792 182348596512544 188046990153561 214910845889784 230177736581408 239332532922714 250729320204748 273522894768816 286547794519712 319110043896952 345266604872112 348120047887584 376093980307122 429821691779568 438776310358309 478665065845428 501458640409496 547045789537632 638220087793904 690533209744224 752187960614244 859643383559136 877552620716618 957330131690856 1002917280818992 1276440175587808 1316328931074927 1504375921228488 1755105241433236 1914660263381712 2005834561637984 2632657862149854 3008751842456976 3510210482866472 3829320526763424 5265315724299708 6017503684913952 7020420965732944 10530631448599416 14040841931465888 21061262897198832 42122525794397664
- Sum of all divisors σ(n): 143988750309320784
- Sum of proper divisors (its aliquot sum) s(n): 101866224514923120
- 42122525794397664 is an abundant number, because the sum of its proper divisors (101866224514923120) is greater than itself. Its abundance is 59743698720525456
Bases of 42122525794397664
- Binary: 100101011010011000110110110010110000010001101101111000002
- Hexadecimal: 0x95A636CB046DE0
- Base-36: BIR6T7ILIAO
Squares and roots of 42122525794397664
- 42122525794397664 squared (421225257943976642) is 1774307179299696554630848568656896
- 42122525794397664 cubed (421225257943976643) is 74738299927236429068959883512058803461181799890944
-
The
square root of 42122525794397664 is 205237729.9484616303 -
The
cube root of 42122525794397664 is 347940.3545175843
Scales and comparisons
How big is 42122525794397664?- 42,122,525,794,397,664 seconds is equal to 1,339,366,026 years, 38 weeks, 1 day, 10 hours, 54 minutes, 24 seconds.
-
To count from 1 to 42,122,525,794,397,664 would take you about four billion, eighteen million, ninety-eight thousand and eighty 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 42122525794397664 cubic inches would be around 28995 feet tall.
Recreational maths with 42122525794397664
- 42122525794397664 backwards is 46679349752522124
- The number of decimal digits it has is: 17
- The sum of 42122525794397664's digits is 78
- More coming soon!
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"Number 42122525794397664 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 42122525794397664 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42122525794397664/
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Numbermatics. 2024. "Number 42122525794397664 - Facts about the integer". https://numbermatics.com/n/42122525794397664/
The information we have on file for 42122525794397664 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 42122525794397664, math, Factors of 42122525794397664, curriculum, school, college, exams, university, Prime factorization of 42122525794397664, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred twenty-two trillion, five hundred twenty-five billion, seven hundred ninety-four million, three hundred ninety-seven thousand, six hundred sixty-four.