42080704876800
42,080,704,876,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42080704876800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
42080704876800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42080704876800:
28 × 32 × 52 × 31 × 1632 × 887
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 163 × 163 × 887)See below for interesting mathematical facts about the number 42080704876800 from the Numbermatics database.
Names of 42080704876800
- Cardinal: 42080704876800 can be written as Forty-two trillion, eighty billion, seven hundred four million, eight hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20807048768 × 1013
Factors of 42080704876800
Divisors of 42080704876800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 163 180 186 192 200 225 240 248 256 279 288 300 310 320 326 360 372 384 400 450 465 480 489 496 558 576 600 620 640 652 720 744 768 775 800 815 887 900 930 960 978 992 1116 1152 1200 1240 1280 1304 1395 1440 1467 1488 1550 1600 1630 1774 1800 1860 1920 1956 1984 2232 2304 2325 2400 2445 2480 2608 2661 2790 2880 2934 2976 3100 3200 3260 3548 3600 3720 3840 3912 3968 4075 4435 4464 4650 4800 4890 4960 5053 5216 5322 5580 5760 5868 5952 6200 6400 6520 6975 7096 7200 7335 7440 7824 7936 7983 8150 8870 8928 9300 9600 9780 9920 10106 10432 10644 11160 11520 11736 11904 12225 12400 13040 13305 13950 14192 14400 14670 14880 15159 15648 15966 16300 17740 17856 18600 19200 19560 19840 20212 20864 21288 22175 22320 23472 23808 24450 24800 25265 26080 26569 26610 27497 27900 28384 28800 29340 29760 30318 31296 31932 32600 35480 35712 36675 37200 39120 39680 39915 40424 41728 42576 44350 44640 45477 46944 48900 49600 50530 52160 53138 53220 54994 55800 56768 57600 58680 59520 60636 62592 63864 65200 66525 70960 71424 73350 74400 75795 78240 79707 79830 80848 82491 85152 88700 89280 90954 93888 97800 99200 101060 104320 106276 106440 109988 111600 113536 117360 119040 121272 125184 126325 127728 130400 132845 133050 137485 141920 144581 146700 148800 151590 156480 159414 159660 161696 164982 170304 177400 178560 181908 187776 195600 198400 199575 202120 208640 212552 212880 219976 223200 227072 227385 234720 239121 242544 247473 252650 255456 260800 265690 266100 274970 283840 289162 293400 297600 303180 312960 318828 319320 323392 329964 340608 354800 357120 363816 375552 378975 391200 398535 399150 404240 412455 425104 425760 433743 439952 446400 454770 469440 478242 485088 494946 505300 510912 521600 531380 532200 549940 567680 578324 586800 595200 606360 625920 637656 638640 646784 659928 664225 681216 687425 709600 722905 727632 757950 782400 797070 798300 808480 823639 824910 850208 851520 867486 879904 892800 909540 938880 956484 970176 989892 1010600 1021824 1043200 1062760 1064400 1099880 1135360 1136925 1156648 1173600 1195605 1212720 1237365 1275312 1277280 1293568 1301229 1319856 1328450 1374850 1419200 1445810 1455264 1515900 1564800 1594140 1596600 1616960 1647278 1649820 1700416 1703040 1734972 1759808 1785600 1819080 1877760 1912968 1940352 1979784 1992675 2021200 2043648 2062275 2125520 2128800 2168715 2199760 2273850 2313296 2347200 2391210 2425440 2470917 2474730 2550624 2554560 2602458 2639712 2656900 2749700 2838400 2891620 2910528 3031800 3129600 3188280 3193200 3233920 3294556 3299640 3400832 3406080 3469944 3519616 3614525 3638160 3825936 3880704 3959568 3985350 4042400 4118195 4124550 4251040 4257600 4337430 4399520 4482011 4547700 4626592 4694400 4782420 4850880 4941834 4949460 5101248 5109120 5204916 5279424 5313800 5499400 5676800 5783240 5821056 5978025 6063600 6186825 6376560 6386400 6467840 6506145 6589112 6599280 6801664 6939888 7039232 7229050 7276320 7412751 7651872 7919136 7970700 8084800 8236390 8249100 8502080 8515200 8674860 8799040 8964022 9095400 9253184 9388800 9564840 9701760 9883668 9898920 10202496 10218240 10409832 10558848 10627600 10843575 10998800 11566480 11642112 11956050 12127200 12354585 12373650 12753120 12772800 13012290 13178224 13198560 13446033 13879776 14458100 14552640 14825502 15303744 15838272 15941400 16169600 16472780 16498200 17004160 17030400 17349720 17598080 17928044 18190800 18506368 19129680 19403520 19767336 19797840 20404992 20590975 20819664 21117696 21255200 21687150 21997600 22410055 23132960 23566703 23912100 24254400 24709170 24747300 25506240 25545600 26024580 26356448 26397120 26892066 27759552 28916200 29105280 29651004 30607488 31676544 31882800 32339200 32530725 32945560 32996400 34008320 34699440 35196160 35856088 36381600 37012736 37063755 38259360 39534672 39595680 40338099 41181950 41639328 42510400 43374300 43995200 44820110 46265920 47133406 47824200 48508800 49418340 49494600 51012480 51091200 52049160 52712896 52794240 53784132 55519104 57832400 58210560 59302008 61214976 61772925 63353088 63765600 65061450 65891120 65992800 67230165 69398880 70700109 71712176 72763200 74127510 76518720 79069344 79191360 80676198 82363900 83278656 85020800 86748600 87990400 89640220 92531840 94266812 95648400 97017600 98836680 98989200 102024960 104098320 105425792 105588480 107568264 111038208 112050275 115664800 117833515 118604016 123545850 127531200 130122900 131782240 131985600 134460330 138797760 141400218 143424352 145526400 148255020 153037440 158138688 158382720 161352396 164727800 166557312 170041600 173497200 175980800 179280440 185063680 185318775 188533624 191296800 197673360 197978400 201690495 208196640 210851584 212100327 215136528 224100550 231329600 235667030 237208032 247091700 255062400 260245800 263564480 263971200 268920660 277595520 282800436 286848704 291052800 296510040 306074880 316277376 316765440 322704792 329455600 333114624 336150825 346994400 353500545 358560880 370637550 377067248 382593600 395346720 395956800 403380990 416393280 424200654 430273056 448201100 462659200 471334060 474416064 494183400 510124800 520491600 527128960 527942400 537841320 555191040 565600872 573697408 589167575 593020080 632554752 645409584 658911200 672301650 693988800 707001090 717121760 730567793 741275100 754134496 765187200 790693440 791913600 806761980 832786560 848401308 860546112 896402200 925318400 942668120 948832128 988366800 1008452475 1040983200 1054257920 1060501635 1075682640 1131201744 1147394816 1178335150 1186040160 1290819168 1317822400 1344603300 1387977600 1414002180 1434243520 1461135586 1482550200 1508268992 1530374400 1581386880 1583827200 1613523960 1665573120 1696802616 1721092224 1767502725 1792804400 1885336240 1897664256 1976733600 2016904950 2081966400 2121003270 2151365280 2191703379 2262403488 2356670300 2372080320 2581638336 2635644800 2689206600 2775955200 2828004360 2868487040 2922271172 2965100400 3016537984 3162773760 3227047920 3393605232 3442184448 3535005450 3585608800 3652838965 3770672480 3953467200 4033809900 4163932800 4242006540 4302730560 4383406758 4524806976 4713340600 4744160640 5163276672 5271289600 5302508175 5378413200 5656008720 5736974080 5844542344 5930200800 6033075968 6454095840 6575110137 6787210464 7070010900 7171217600 7305677930 7541344960 7906934400 8067619800 8327865600 8484013080 8605461120 8766813516 9049613952 9426681200 9488321280 10326553344 10605016350 10756826400 10958516895 11312017440 11689084688 11860401600 12908191680 13150220274 13574420928 14140021800 14342435200 14611355860 15082689920 15813868800 16135239600 16968026160 17210922240 17533627032 18099227904 18264194825 18853362400 21210032700 21513652800 21917033790 22624034880 23378169376 23720803200 25816383360 26300440548 27148841856 28280043600 28684870400 29222711720 30165379840 32270479200 32875550685 33936052320 35067254064 36528389650 37706724800 42420065400 43027305600 43834067580 45248069760 46756338752 47441606400 51632766720 52600881096 54297683712 54792584475 56560087200 58445423440 64540958400 65751101370 67872104640 70134508128 73056779300 75413449600 84840130800 86054611200 87668135160 90496139520 93512677504 105201762192 109585168950 113120174400 116890846880 129081916800 131502202740 135744209280 140269016256 146113558600 150826899200 164377753425 169680261600 175336270320 187025355008 210403524384 219170337900 226240348800 233781693760 258163833600 263004405480 271488418560 280538032512 292227117200 328755506850 339360523200 350672540640 420807048768 438340675800 452480697600 467563387520 526008810960 561076065024 584454234400 657511013700 678721046400 701345081280 841614097536 876681351600 935126775040 1052017621920 1168908468800 1315022027400 1357442092800 1402690162560 1683228195072 1753362703200 2104035243840 2337816937600 2630044054800 2805380325120 3506725406400 4208070487680 4675633875200 5260088109600 7013450812800 8416140975360 10520176219200 14026901625600 21040352438400 42080704876800
- Sum of all divisors σ(n): 156435958957824
- Sum of proper divisors (its aliquot sum) s(n): 114355254081024
- 42080704876800 is an abundant number, because the sum of its proper divisors (114355254081024) is greater than itself. Its abundance is 72274549204224
Bases of 42080704876800
- Binary: 10011001000101101011010111011101010001000000002
- Hexadecimal: 0x2645AD775100
- Base-36: EWZLX6WW0
Squares and roots of 42080704876800
- 42080704876800 squared (420807048768002) is 1770785722928339303178240000
- 42080704876800 cubed (420807048768003) is 74515911406598381292177677707640832000000
-
The
square root of 42080704876800 is 6486964.2265700833 -
The
cube root of 42080704876800 is 34782.5166717679
Scales and comparisons
How big is 42080704876800?- 42,080,704,876,800 seconds is equal to 1,338,036 years, 13 weeks, 8 hours.
-
To count from 1 to 42,080,704,876,800 would take you about three million, three hundred forty-five thousand and ninety 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 42080704876800 cubic inches would be around 2898.5 feet tall.
Recreational maths with 42080704876800
- 42080704876800 backwards is 00867840708024
- The number of decimal digits it has is: 14
- The sum of 42080704876800's digits is 54
- More coming soon!
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The information we have on file for 42080704876800 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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