42338753545671648
42,338,753,545,671,648 is an even composite number composed of eight prime numbers multiplied together.
42338753545671648 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42338753545671648:
25 × 33 × 13 × 19 × 37 × 43 × 1063 × 117307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 37 × 43 × 1063 × 117307)See below for interesting mathematical facts about the number 42338753545671648 from the Numbermatics database.
Names of 42338753545671648
- Cardinal: 42338753545671648 can be written as Forty-two quadrillion, three hundred thirty-eight trillion, seven hundred fifty-three billion, five hundred forty-five million, six hundred seventy-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.2338753545671648 × 1016
Factors of 42338753545671648
Divisors of 42338753545671648
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 37 38 39 43 48 52 54 57 72 74 76 78 86 96 104 108 111 114 117 129 144 148 152 156 171 172 208 216 222 228 234 247 258 288 296 304 312 333 342 344 351 387 416 432 444 456 468 481 494 513 516 559 592 608 624 666 684 688 702 703 741 774 817 864 888 912 936 962 988 999 1026 1032 1063 1118 1161 1184 1248 1332 1368 1376 1404 1406 1443 1482 1548 1591 1634 1677 1776 1824 1872 1924 1976 1998 2052 2064 2109 2126 2223 2236 2322 2451 2664 2736 2808 2812 2886 2964 3096 3182 3189 3268 3354 3552 3744 3848 3952 3996 4104 4128 4218 4252 4329 4446 4472 4644 4773 4902 5031 5328 5472 5616 5624 5772 5928 6192 6327 6364 6378 6536 6669 6708 7353 7696 7904 7992 8208 8436 8504 8658 8892 8944 9139 9288 9546 9567 9804 10062 10621 10656 11232 11248 11544 11856 12384 12654 12728 12756 12987 13072 13338 13416 13819 14319 14706 15093 15392 15984 16416 16872 17008 17316 17784 17888 18278 18576 18981 19092 19134 19608 20124 20197 20683 21242 22059 22496 23088 23712 25308 25456 25512 25974 26144 26676 26832 27417 27638 28638 28701 29412 30186 30229 31863 31968 33744 34016 34632 35568 36556 37152 37962 38184 38268 39216 39331 40248 40394 41366 41457 42484 42957 44118 45709 46176 50616 50912 51024 51948 53352 53664 54834 55276 57276 57402 58824 60372 60458 60591 62049 63726 67488 69264 71136 73112 75924 76368 76536 78432 78662 80496 80788 82251 82732 82914 84968 85914 88236 90687 91418 95589 101232 102048 103896 106704 109668 110552 114552 114804 117307 117648 117993 120744 120916 121182 124098 124371 127452 137127 138528 146224 151848 152736 153072 157324 160992 161576 164502 165464 165828 169936 171828 176472 181374 181773 182836 186147 191178 202464 207792 213408 219336 221104 229104 229608 234614 235296 235986 241488 241832 242364 246753 248196 248742 254904 262561 272061 274254 286767 292448 303696 306144 314648 323152 329004 330928 331656 339872 343656 351921 352944 353979 362748 363546 365672 372294 373113 382356 392977 411381 415584 438672 442208 458208 459216 469228 471972 482976 483664 484728 493506 496392 497484 509808 511303 525122 544122 545319 548508 558441 573534 594217 607392 629296 646304 658008 661856 663312 687312 703842 705888 707958 725496 727092 731344 744588 746226 747289 764712 785954 787683 816183 822762 868471 877344 918432 938456 943944 967328 969456 987012 992784 994968 1019616 1022606 1050244 1055763 1061937 1088244 1090638 1097016 1116882 1147068 1178931 1188434 1234143 1258592 1316016 1326624 1374624 1407684 1415916 1450992 1454184 1462688 1489176 1492452 1494578 1524991 1529424 1533909 1571908 1575366 1632366 1645524 1691233 1736942 1782651 1876912 1887888 1938912 1974024 1985568 1989936 2045212 2100488 2111526 2123874 2176488 2181276 2194032 2228833 2233764 2241867 2294136 2357862 2363049 2376868 2468286 2605413 2632032 2815368 2831832 2901984 2908368 2978352 2984904 2989156 3049982 3058848 3067818 3143816 3150732 3167289 3264732 3291048 3382466 3473884 3536793 3565302 3753824 3775776 3948048 3979872 4090424 4200976 4223052 4247748 4340359 4352976 4362552 4388064 4457666 4467528 4483734 4574973 4588272 4601727 4715724 4726098 4753736 4936572 5044201 5073699 5210826 5347953 5630736 5663664 5816736 5956704 5969808 5978312 6099964 6135636 6287632 6301464 6334578 6529464 6582096 6686499 6725601 6764932 6947768 7073586 7089147 7130604 7816239 7896096 8180848 8401952 8446104 8495496 8680718 8705952 8725104 8915332 8935056 8967468 9149946 9176544 9203454 9431448 9452196 9507472 9714757 9873144 10088402 10147398 10421652 10610379 10695906 11261472 11290123 11327328 11939616 11956624 12199928 12271272 12575264 12602928 12669156 13021077 13058928 13164192 13372998 13451202 13529864 13724919 13805181 13895536 14147172 14178294 14261208 15132603 15221097 15632478 16043859 16361696 16892208 16990992 17361436 17450208 17830664 17870112 17934936 18299892 18406908 18862896 18904392 19014944 19429514 19746288 20059497 20176803 20176804 20294796 20843304 21220758 21391812 21986029 22580246 23448717 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30076887672 30800243227 31914659727 32171913978 33639776469 34306197536 35625666672 35912834208 36910412936 37907991664 38594472228 38820170896 38905570392 39869364704 40102516896 40313254392 41402801808 41524214553 42552879636 42646490622 42895885304 43672692258 43768766691 44853035292 45115331508 46098952939 48257870967 48750912288 51459296304 51874093856 53751005856 53869251312 55365619404 56656465632 56737172848 56861987496 57891708342 58230256344 58358355588 59804047056 59979421021 60153775344 61600486454 63829319454 63969735933 64343827956 65509038387 67279552938 69705813619 71251333344 73820825872 75815983328 77188944456 77640341792 77811140784 80626508784 82805603616 83048429106 85105759272 85292981244 85791770608 87345384516 87537533382 87662230723 89706070584 90230663016 92197905878 92400729681 95743979181 96515741934 101877727597 102918592608 107738502624 110731238808 113474345696 113723974992 115783416684 116460512688 116716711176 119608094112 119958842042 120307550688 123200972908 124572643659 127658638908 127939471866 128687655912 131018076774 134559105876 138296858817 139411627238 144773612901 147641651744 154377888912 155622281568 161253017568 166096858212 170211518544 170585962488 171583541216 174690769032 175075066764 175324461446 179412141168 179938263063 180461326032 184395811756 184801459362 191487958362 193031483868 198393469531 203755455194 209117440857 221462477616 227447949984 231566833368 232921025376 233433422352 239917684084 246401945816 249145287318 255317277816 255878943732 257375311824 262036153548 262986692169 269118211752 276593717634 277202189043 278823254476 289547225802 305633182791 308755777824 332193716424 340423037088 341171924976 349381538064 350150133528 350648922892 358824282336 359876526126 360922652064 368791623512 369602918724 382975916724 386062967736 396786939062 407510910388 414890576451 418234881714 442924955232 463133666736 466866844704 479835368168 492803891632 498290574636 510634555632 511757887464 514750623648 524072307096 525973384338 538236423504 539814789189 553187435268 554404378086 557646508952 579094451604 595180408593 611266365582 627352322571 664387432848 682343849952 698763076128 700300267056 701297845784 719753052252 737583247024 739205837448 765951833448 772125935472 788960076507 793573878124 815021820776 829781152902 831606567129 836469763428 916899548373 926267333472 959670736336 985607783264 996581149272 1021269111264 1023515774928 1048144614192 1051946768676 1076472847008 1079629578378 1106374870536 1108808756172 1115293017904 1139608999399 1158188903208 1190360817186 1222532731164 1244671729353 1254704645142 1324410458761 1328774865696 1400600534112 1402595691568 1439506104504 1475166494048 1478411674896 1531903666896 1544251870944 1577920153014 1587147756248 1619444367567 1630043641552 1659562305804 1663213134258 1672939526856 1785541225779 1833799096746 1882056967713 1919341472672 1993162298544 2047031549856 2096289228384 2103893537352 2159259156756 2212749741072 2217617512344 2230586035808 2279217998798 2316377806416 2366880229521 2380721634372 2445065462328 2489343458706 2509409290284 2579115103903 2648820917522 2750698645119 2805191383136 2879012209008 2956823349792 3063807333792 3155840306028 3174295512496 3238888735134 3260087283104 3319124611608 3326426268516 3345879053712 3418826998197 3571082451558 3667598193492 3764113935426 3769475921089 3973231376283 3986324597088 4207787074704 4318518313512 4425499482144 4435235024688 4558435997596 4632755612832 4733760459042 4761443268744 4890130924656 4978686917412 5018818580568 5158230207806 5297641835044 5356623677337 5501397290238 5758024418016 6311680612056 6348591024992 6477777470268 6638249223216 6652852537032 6691758107424 6837653996394 7142164903116 7335196386984 7528227870852 7538951842178 7737345311709 7946462752566 8415574149408 8637036627024 8870470049376 9116871995192 9467520918084 9522886537488 9780261849312 9957373834824 10037637161136 10256480994591 10316460415612 10595283670088 10713247354674 11002794580476 11308427763267 11919694128849 12623361224112 12955554940536 13276498446432 13305705074064 13675307992788 14284329806232 14670392773968 15056455741704 15077903684356 15474690623418 15892925505132 17274073254048 18233743990384 18935041836168 19045773074976 19914747669648 20075274322272 20512961989182 20632920831224 21190567340176 21426494709348 22005589160952 22616855526534 23212035935127 23839388257698 25246722448224 25911109881072 26611410148128 27350615985576 28568659612464 29340785547936 30112911483408 30155807368712 30769442983773 30949381246836 31785851010264 33925283289801 35759082386547 36467487980768 37870083672336 39829495339296 41025923978364 41265841662448 42381134680352 42852989418696 44011178321904 45233711053068 46424071870254 47678776515396 49003186974157 51822219762144 54701231971152 57137319224928 60225822966816 60311614737424 61538885967546 61898762493672 63571702020528 67850566579602 69636107805381 71518164773094 75740167344672 82051847956728 82531683324896 85705978837392 88022356643808 90467422106136 92848143740508 95357553030792 98006373948314 101775849869403 109402463942304 120623229474848 123077771935092 123797524987344 127143404041056 135701133159204 139272215610762 143036329546188 147009560922471 164103695913456 171411957674784 180934844212272 185696287481016 190715106061584 196012747896628 203551699738806 246155543870184 247595049974688 271402266318408 278544431221524 286072659092376 294019121844942 328207391826912 361869688424544 371392574962032 381430212123168 392025495793256 407103399477612 441028682767413 492311087740368 542804532636816 557088862443048 572145318184752 588038243689884 742785149924064 784050991586512 814206798955224 882057365534826 984622175480736 1085609065273632 1114177724886096 1144290636369504 1176076487379768 1323086048302239 1568101983173024 1628413597910448 1764114731069652 2228355449772192 2352152974759536 2646172096604478 3256827195820896 3528229462139304 4704305949519072 5292344193208956 7056458924278608 10584688386417912 14112917848557216 21169376772835824 42338753545671648
- Sum of all divisors σ(n): 147252983799398400
- Sum of proper divisors (its aliquot sum) s(n): 104914230253726752
- 42338753545671648 is an abundant number, because the sum of its proper divisors (104914230253726752) is greater than itself. Its abundance is 62575476708055104
Bases of 42338753545671648
- Binary: 100101100110101011011111001111010101001010010011111000002
- Hexadecimal: 0x966ADF3D5293E0
- Base-36: BKVU2V6VCO0
Squares and roots of 42338753545671648
- 42338753545671648 squared (423387535456716482) is 1792570051801123545307435431035904
- 42338753545671648 cubed (423387535456716483) is 75895181636559629229020270997588631894664082849792
-
The
square root of 42338753545671648 is 205763829.5368543337 -
The
cube root of 42338753545671648 is 348534.6999520587
Scales and comparisons
How big is 42338753545671648?- 42,338,753,545,671,648 seconds is equal to 1,346,241,400 years, 20 weeks, 1 day, 13 hours, 40 minutes, 48 seconds.
-
To count from 1 to 42,338,753,545,671,648 would take you about four billion, thirty-eight million, seven hundred twenty-four thousand, two hundred one 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 42338753545671648 cubic inches would be around 29044.6 feet tall.
Recreational maths with 42338753545671648
- 42338753545671648 backwards is 84617654535783324
- The number of decimal digits it has is: 17
- The sum of 42338753545671648's digits is 81
- More coming soon!
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"Number 42338753545671648 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 42338753545671648 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/42338753545671648/
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Numbermatics. 2024. "Number 42338753545671648 - Facts about the integer". https://numbermatics.com/n/42338753545671648/
The information we have on file for 42338753545671648 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!
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