42838721310425040
42,838,721,310,425,040 is an even composite number composed of seven prime numbers multiplied together.
42838721310425040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42838721310425040:
24 × 35 × 5 × 7 × 11 × 13 × 2201436491
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 2201436491)See below for interesting mathematical facts about the number 42838721310425040 from the Numbermatics database.
Names of 42838721310425040
- Cardinal: 42838721310425040 can be written as Forty-two quadrillion, eight hundred thirty-eight trillion, seven hundred twenty-one billion, three hundred ten million, four hundred twenty-five thousand and forty.
Scientific notation
- Scientific notation: 4.283872131042504 × 1016
Factors of 42838721310425040
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2201436532
Divisors of 42838721310425040
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 65 66 70 72 77 78 80 81 84 88 90 91 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 154 156 162 165 168 176 180 182 189 195 198 208 210 216 220 231 234 240 243 252 260 264 270 273 280 286 297 308 312 315 324 330 336 351 360 364 378 385 390 396 405 420 429 432 440 455 462 468 486 495 504 520 528 540 546 560 567 572 585 594 616 624 630 648 660 693 702 715 720 728 756 770 780 792 810 819 840 858 880 891 910 924 936 945 972 990 1001 1008 1040 1053 1080 1092 1134 1144 1155 1170 1188 1215 1232 1260 1287 1296 1320 1365 1386 1404 1430 1456 1485 1512 1540 1560 1584 1620 1638 1680 1701 1716 1755 1782 1820 1848 1872 1890 1944 1980 2002 2079 2106 2145 2160 2184 2268 2288 2310 2340 2376 2430 2457 2520 2574 2640 2673 2730 2772 2808 2835 2860 2970 3003 3024 3080 3120 3159 3240 3276 3402 3432 3465 3510 3564 3640 3696 3780 3861 3888 3960 4004 4095 4158 4212 4290 4368 4455 4536 4620 4680 4752 4860 4914 5005 5040 5148 5265 5346 5460 5544 5616 5670 5720 5940 6006 6160 6237 6318 6435 6480 6552 6804 6864 6930 7020 7128 7280 7371 7560 7722 7920 8008 8190 8316 8424 8505 8580 8910 9009 9072 9240 9360 9720 9828 10010 10296 10395 10530 10692 10920 11088 11340 11440 11583 11880 12012 12285 12474 12636 12870 13104 13365 13608 13860 14040 14256 14742 15015 15120 15444 15795 16016 16380 16632 16848 17010 17160 17820 18018 18480 18711 19305 19440 19656 20020 20592 20790 21060 21384 21840 22113 22680 23166 23760 24024 24570 24948 25272 25740 26730 27027 27216 27720 28080 29484 30030 30888 31185 31590 32760 33264 34020 34320 34749 35640 36036 36855 37422 38610 39312 40040 41580 42120 42768 44226 45045 45360 46332 48048 49140 49896 50544 51480 53460 54054 55440 57915 58968 60060 61776 62370 63180 65520 68040 69498 71280 72072 73710 74844 77220 80080 81081 83160 84240 88452 90090 92664 93555 98280 99792 102960 106920 108108 110565 115830 117936 120120 124740 126360 135135 136080 138996 144144 147420 149688 154440 162162 166320 173745 176904 180180 185328 187110 196560 213840 216216 221130 231660 240240 243243 249480 252720 270270 277992 294840 299376 308880 324324 347490 353808 360360 374220 405405 432432 442260 463320 486486 498960 540540 555984 589680 648648 694980 720720 748440 810810 884520 926640 972972 1081080 1216215 1297296 1389960 1496880 1621620 1769040 1945944 2162160 2432430 2779920 3243240 3891888 4864860 6486480 9729720 19459440 2201436491 4402872982 6604309473 8805745964 11007182455 13208618946 15410055437 17611491928 19812928419 22014364910 24215801401 26417237892 28618674383 30820110874 33021547365 35222983856 39625856838 44028729820 46230166311 48431602802 52834475784 57237348766 59438785257 61640221748 66043094730 72647404203 77050277185 79251713676 85856023149 88057459640 92460332622 96863205604 99064642095 105668951568 114474697532 118877570514 121079007005 123280443496 132086189460 138690498933 143093371915 145294808406 154100554370 158503427352 169510609807 171712046298 176114919280 178316355771 184920665244 193726411208 198129284190 200330720681 217942212609 228949395064 231150831555 237755141028 242158014010 246560886992 257568069447 264172378920 277380997866 286186743830 290589616812 297193926285 308201108740 314805418213 317006854704 339021219614 343424092596 356632711542 363237021015 369841330488 387452822416 396258568380 400661441362 416071496799 429280115745 435884425218 457898790128 462301663110 475510282056 484316028020 508531829421 515136138894 528344757840 534949067313 554761995732 572373487660 581179233624 594387852570 600992162043 616402217480 629610836426 653826637827 678042439228 686848185192 693452494665 713265423084 726474042030 739682660976 772704208341 792517136760 801322882724 832142993598 847553049035 858560231490 871768850436 891581778855 924603326220 944416254639 951020564112 968632056040 1001653603405 1017063658842 1030272277788 1069898134626 1089711063045 1109523991464 1144746975320 1162358467248 1188775705140 1201984324086 1232804434960 1248214490397 1259221672852 1287840347235 1307653275654 1356084878456 1373696370384 1386904989330 1426530846168 1452948084060 1525595488263 1545408416682 1574027091065 1585034273520 1602645765448 1664285987196 1695106098070 1717120462980 1743537700872 1783163557710 1802976486129 1849206652440 1888832509278 1937264112080 1961479913481 2003307206810 2034127317684 2060544555576 2080357483995 2139796269252 2179422126090 2203637927491 2219047982928 2289493950640 2318112625023 2377551410280 2403968648172 2496428980794 2518443345704 2542659147105 2575680694470 2615306551308 2674745336565 2712169756912 2773809978660 2833248763917 2853061692336 2905896168120 3004960810215 3051190976526 3090816833364 3148054182130 3205291530896 3269133189135 3328571974392 3390212196140 3434240925960 3487075401744 3566327115420 3605952972258 3698413304880 3744643471191 3777665018556 3863521041705 3922959826962 4006614413620 4068254635368 4121089111152 4160714967990 4279592538504 4358844252180 4407275854982 4576786464789 4636225250046 4722081273195 4755102820560 4807937296344 4992857961588 5036886691408 5085318294210 5151361388940 5230613102616 5349490673130 5408929458387 5547619957320 5666497527834 5811792336240 5884439740443 6009921620430 6102381953052 6181633666728 6241072451985 6296108364260 6538266378270 6610913782473 6657143948784 6780424392280 6868481851920 6954337875069 7132654230840 7211905944516 7489286942382 7555330037112 7627977441315 7727042083410 7845919653924 8013228827240 8136509270736 8321429935980 8499746291751 8559185077008 8717688504360 8814551709964 9014882430645 9153572929578 9272450500092 9444162546390 9615874592688 9807399567405 9985715923176 10170636588420 10302722777880 10461226205232 10698981346260 10817858916774 11018189637455 11095239914640 11332995055668 11590563125115 11768879480886 12019843240860 12204763906104 12363267333456 12482144903970 12592216728520 13076532756540 13221827564946 13560848784560 13730359394367 13908675750138 14166243819585 14265308461680 14423811889032 14978573884764 15110660074224 15255954882630 15454084166820 15691839307848 16026457654480 16226788375161 16642859871960 16999492583502 17435377008720 17629103419928 18029764861290 18307145859156 18544901000184 18723217355955 18888325092780 19614799134810 19832741347419 19971431846352 20341273176840 20605445555760 21397962692520 21635717833548 22036379274910 22665990111336 22883932323945 23181126250230 23537758961772 24039686481720 24409527812208 24964289807940 25184433457040 25499238875253 26153065513080 26443655129892 27044647291935 27460718788734 27817351500276 28332487639170 28847623778064 29422198702215 29957147769528 30511909765260 30908168333640 31383678615696 32453576750322 33054568912365 33285719743920 33998985167004 34771689375345 35258206839856 36059529722580 36614291718312 37089802000368 37446434711910 37776650185560 39229598269620 39665482694838 40682546353680 41191078183101 42498731458755 42795925385040 43271435667096 44072758549820 45331980222672 45767864647890 46362252500460 47075517923544 48079372963440 48680365125483 49928579615880 50998477750506 52306131026160 52887310259784 54089294583870 54921437577468 55634703000552 56664975278340 58844397404430 59498224042257 59914295539056 61023819530520 61816336667280 64907153500644 66109137824730 67997970334008 68651796971835 69543378750690 72119059445160 73228583436624 74892869423820 75553300371120 76497716625759 78459196539240 79330965389676 81133941875805 82382156366202 84997462917510 86542871334192 88145517099640 91535729295780 92724505000920 94151035847088 97360730250966 99163706737095 99857159231760 101996955501012 105774620519568 108178589167740 109842875154936 111269406001104 113329950556680 117688794808860 118996448084514 122047639061040 127496194376265 129814307001288 132218275649460 135995940668016 137303593943670 139086757501380 144238118890320 149785738847640 152995433251518 156918393078480 158661930779352 162267883751610 164764312732404 169994925835020 176291034199280 178494672126771 183071458591560 185449010001840 194721460501932 198327413474190 203993911002024 205955390915505 216357178335480 219685750309872 226659901113360 235377589617720 237992896169028 243401825627415 254992388752530 259628614002576 264436551298920 274607187887340 278173515002760 297491120211285 299571477695280 305990866503036 317323861558704 324535767503220 329528625464808 339989851670040 356989344253542 366142917183120 382488583128795 389442921003864 396654826948380 407987822004048 411910781831010 432714356670960 470755179235440 475985792338056 486803651254830 509984777505060 528873102597840 535484016380313 549214375774680 556347030005520 594982240422570 611981733006072 649071535006440 659057250929616 679979703340080 713978688507084 764977166257590 778885842007728 793309653896760 823821563662020 892473360633855 951971584676112 973607302509660 1019969555010120 1070968032760626 1098428751549360 1189964480845140 1223963466012144 1298143070012880 1427957377014168 1529954332515180 1586619307793520 1647643127324040 1784946721267710 1947214605019320 2039939110020240 2141936065521252 2379928961690280 2677420081901565 2855914754028336 3059908665030360 3295286254648080 3569893442535420 3894429210038640 4283872131042504 4759857923380560 5354840163803130 6119817330060720 7139786885070840 8567744262085008 10709680327606260 14279573770141680 21419360655212520 42838721310425040
- Sum of all divisors σ(n): 200317899605870592
- Sum of proper divisors (its aliquot sum) s(n): 157479178295445552
- 42838721310425040 is an abundant number, because the sum of its proper divisors (157479178295445552) is greater than itself. Its abundance is 114640456985020512
Bases of 42838721310425040
- Binary: 100110000011000110010111000011100101011011111111110100002
- Hexadecimal: 0x9831970E56FFD0
- Base-36: BPT24VX7X00
Squares and roots of 42838721310425040
- 42838721310425040 squared (428387213104250402) is 1835156043512264456311385459001600
- 42838721310425040 cubed (428387213104250403) is 78615738309164145335676565142666564519590040064000
-
The
square root of 42838721310425040 is 206975170.7582941939 -
The
cube root of 42838721310425040 is 349901.2546209673
Scales and comparisons
How big is 42838721310425040?- 42,838,721,310,425,040 seconds is equal to 1,362,138,828 years, 41 weeks, 6 days, 11 hours, 24 minutes.
-
To count from 1 to 42,838,721,310,425,040 would take you about four billion, eighty-six million, four hundred sixteen thousand, four hundred eighty-six 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 42838721310425040 cubic inches would be around 29158.4 feet tall.
Recreational maths with 42838721310425040
- 42838721310425040 backwards is 04052401312783824
- 42838721310425040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42838721310425040's digits is 54
- More coming soon!
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The information we have on file for 42838721310425040 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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