42138413228577344
42,138,413,228,577,344 is an even composite number composed of six prime numbers multiplied together.
42138413228577344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 42138413228577344:
26 × 7 × 432 × 47 × 1672 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 43 × 43 × 47 × 167 × 167 × 197 × 197)See below for interesting mathematical facts about the number 42138413228577344 from the Numbermatics database.
Names of 42138413228577344
- Cardinal: 42138413228577344 can be written as Forty-two quadrillion, one hundred thirty-eight trillion, four hundred thirteen billion, two hundred twenty-eight million, five hundred seventy-seven thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.2138413228577344 × 1016
Factors of 42138413228577344
Divisors of 42138413228577344
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 43 47 56 64 86 94 112 167 172 188 197 224 301 329 334 344 376 394 448 602 658 668 688 752 788 1169 1204 1316 1336 1376 1379 1504 1576 1849 2021 2338 2408 2632 2672 2752 2758 3008 3152 3698 4042 4676 4816 5264 5344 5516 6304 7181 7396 7849 8084 8471 9259 9352 9632 10528 10688 11032 12608 12943 14147 14362 14792 15698 16168 16942 18518 18704 19264 21056 22064 25886 27889 28294 28724 29584 31396 32336 32899 33884 37036 37408 38809 44128 50267 51772 54943 55778 56588 57448 59168 59297 62792 64672 64813 65798 67768 74072 74816 77618 86903 88256 100534 103544 109886 111556 113176 114896 118336 118594 125584 129344 129626 131596 135536 148144 155236 173806 195223 201068 207088 219772 223112 226352 229792 230293 237188 251168 259252 263192 271072 271663 296288 308783 310472 337507 347612 364253 390446 398137 402136 414176 439544 446224 452704 459584 460586 474376 502336 518504 526384 542144 543326 592576 608321 617566 620944 675014 695224 728506 780892 796274 804272 828352 879088 892448 905408 921172 948752 1037008 1052768 1086652 1199227 1216642 1235132 1241888 1310783 1350028 1390448 1414657 1457012 1546253 1561784 1592548 1608544 1668787 1758176 1784896 1824023 1842344 1897504 2074016 2105536 2161481 2173304 2362549 2398454 2433284 2470264 2483776 2549771 2621566 2700056 2780896 2786959 2829314 2914024 3092506 3123568 3185096 3217088 3337574 3516352 3648046 3684688 3795008 4148032 4322962 4346608 4725098 4796908 4866568 4940528 5099542 5243132 5400112 5494133 5561792 5573918 5658628 5828048 6185012 6247136 6370192 6481103 6675148 7296092 7369376 8394589 8645924 8693216 9175481 9450196 9593816 9733136 9881056 9902599 10199084 10486264 10800224 10823771 10988266 11147836 11317256 11656096 11681509 12370024 12494272 12740384 12768161 12962206 13350296 14512801 14592184 14738752 16789178 17119891 17291848 17386432 18350962 18900392 19187632 19466272 19762112 19805198 20398168 20972528 21600448 21647542 21976532 22295672 22634512 23312192 23363018 24740048 25480768 25536322 25924412 26700592 29025602 29184368 33578356 34239782 34583696 36701924 37800784 38375264 38458931 38932544 39610396 40796336 41945056 43295084 43953064 44591344 45269024 45367721 46726036 49480096 51072644 51566761 51848824 53401184 56363669 58051204 58368736 60830251 66488879 67156712 68479564 69167392 71757841 73403848 75601568 76750528 76917862 78432989 79220792 81592672 83890112 86590168 87906128 89182688 90538048 90735442 93452072 98960192 101589607 102145288 103133522 103697648 106802368 112727338 116102408 116737472 119839237 121660502 132977758 134313424 136959128 138334784 143515682 146807696 151203136 153835724 156865978 158441584 163185344 173180336 175812256 178365376 181470884 186904144 203179214 204290576 206267044 207395296 225454676 232204816 236247719 239678474 243321004 258224251 265955516 268626848 273918256 278687429 287031364 293615392 304611841 307671448 313731956 316883168 346360672 351624512 360967327 362941768 373808288 394545683 406358428 408581152 412534088 414790592 425811757 450909352 464409632 465422153 472495438 479356948 486642008 502304887 516448502 531911032 537253696 547836512 549030923 557374858 574062728 587230784 609223682 615342896 627463912 633766336 692721344 721934654 725883536 747616576 789091366 812716856 817162304 825068176 851623514 901818704 928819264 930844306 944990876 958713896 973284016 1004609774 1032897004 1063822064 1082344201 1095673024 1098061846 1114749716 1148125456 1218447364 1230685792 1254927824 1443869308 1451767072 1578182732 1625433712 1650136352 1653734033 1703247028 1803637408 1807569757 1861688612 1889981752 1917427792 1946568032 1950812003 2009219548 2065794008 2127644128 2132282887 2164688402 2196123692 2229499432 2296250912 2423637767 2436894728 2461371584 2509855648 2859021797 2887738616 2903534144 3156365464 3250867424 3300272704 3307468066 3372618527 3406494056 3607274816 3615139514 3723377224 3779963504 3834855584 3893136064 3901624006 4018439096 4131588016 4255288256 4264565774 4329376804 4392247384 4458998864 4592501824 4847275534 4873789456 5019711296 5718043594 5775477232 6312730928 6501734848 6614936132 6745237054 6812988112 7230279028 7446754448 7559927008 7576409407 7669711168 7803248012 8036878192 8263176032 8529131548 8658753608 8784494768 8917997728 9694551068 9747578912 10158651917 11103642793 11436087188 11550954464 11983559447 12625461856 13098309163 13229872264 13490474108 13625976224 14460558056 14893508896 15119854016 15152818814 15606496024 16073756384 16526352064 16965464369 17058263096 17317507216 17568989536 17835995456 19389102136 19495157824 20013152579 20317303834 22207285586 22872174376 23101908928 23608329689 23967118894 25250923712 26196618326 26459744528 26980948216 27251952448 28921116112 29787017792 30305637628 31212992048 32147512768 33930928738 34116526192 34635014432 35137979072 38778204272 40026305158 40634607668 44414571172 45744348752 46540800643 47216659378 47934237788 50870177447 52393236652 52919489056 53961896432 57842232224 60611275256 62425984096 67861857476 68233052384 69270028864 71110563419 77556408544 77725499551 80052610316 81269215336 83884916129 88829142344 91488697504 91688164141 93081601286 94433318756 95868475576 101740354894 104786473304 105838978112 107923792864 115684464448 121222550512 124851968192 135723714952 136466104768 142221126838 155112817088 155450999102 160105220632 162538430672 167769832258 177658284688 182977395008 183376328282 186163202572 188866637512 191736951152 203480709788 209572946608 215847585728 242445101024 271447429904 284442253676 310901998204 320210441264 325076861344 325785604501 335539664516 355316569376 356091242129 366752656564 372326405144 377733275024 383473902304 406961419576 419145893216 477456640099 484890202048 542894859808 563227294009 568884507352 621803996408 640420882528 650153722688 651571209002 671079329032 710633138752 712182484258 733505313128 744652810288 755466550048 766947804608 813922839152 838291786432 954913280198 1085789719616 1126454588018 1137769014704 1243607992816 1280841765056 1303142418004 1342158658064 1424364968516 1467010626256 1489305620576 1510933100096 1627845678304 1909826560396 2001254427649 2187417630221 2252909176036 2275538029408 2487215985632 2606284836008 2684317316128 2848729937032 2934021252512 2978611241152 3255691356608 3342196480693 3819653120792 3942591058063 4002508855298 4374835260442 4505818352072 4551076058816 4974431971264 5212569672016 5368634632256 5697459874064 5868042505024 6684392961386 7639306241584 7885182116126 8005017710596 8749670520884 9011636704144 10425139344032 11394919748128 13368785922772 14008780993543 15278612483168 15311923411547 15770364232252 16010035421192 17499341041768 18023273408288 20850278688064 22789839496256 26737571845544 28017561987086 30557224966336 30623846823094 31540728464504 32020070842384 34998682083536 36046546816576 53475143691088 56035123974172 61247693646188 63081456929008 64040141684768 69997364167072 94058958099503 106950287382176 112070247948344 122495387292376 126162913858016 128080283369536 139994728334144 188117916199006 213900574764352 224140495896688 244990774584752 252325827716032 376235832398012 448280991793376 489981549169504 658412706696521 752471664796024 896561983586752 979963098339008 1316825413393042 1504943329592048 2633650826786084 3009886659184096 5267301653572168 6019773318368192 10534603307144336 21069206614288672 42138413228577344
- Sum of all divisors σ(n): 101034417459067776
- Sum of proper divisors (its aliquot sum) s(n): 58896004230490432
- 42138413228577344 is an abundant number, because the sum of its proper divisors (58896004230490432) is greater than itself. Its abundance is 16757591001913088
Bases of 42138413228577344
- Binary: 100101011011010010101001110111111110001101010010010000002
- Hexadecimal: 0x95B4A9DFE35240
- Base-36: BIWTJSMPFSW
Squares and roots of 42138413228577344
- 42138413228577344 squared (421384132285773442) is 1775645869422342100077746190094336
- 42138413228577344 cubed (421384132285773443) is 74822899393335139557493172562525056966650432323584
-
The
square root of 42138413228577344 is 205276431.2544850921 -
The
cube root of 42138413228577344 is 347984.0934635539
Scales and comparisons
How big is 42138413228577344?- 42,138,413,228,577,344 seconds is equal to 1,339,871,197 years, 51 weeks, 6 days, 11 hours, 55 minutes, 44 seconds.
-
To count from 1 to 42,138,413,228,577,344 would take you about four billion, nineteen million, six hundred thirteen thousand, five hundred ninety-three 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 42138413228577344 cubic inches would be around 28998.7 feet tall.
Recreational maths with 42138413228577344
- 42138413228577344 backwards is 44377582231483124
- The number of decimal digits it has is: 17
- The sum of 42138413228577344's digits is 68
- More coming soon!
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The information we have on file for 42138413228577344 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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