42688729408000
42,688,729,408,000 is an even composite number composed of five prime numbers multiplied together.
42688729408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42688729408000:
29 × 53 × 133 × 192 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 29 × 29)See below for interesting mathematical facts about the number 42688729408000 from the Numbermatics database.
Names of 42688729408000
- Cardinal: 42688729408000 can be written as Forty-two trillion, six hundred eighty-eight billion, seven hundred twenty-nine million, four hundred eight thousand.
Scientific notation
- Scientific notation: 4.2688729408 × 1013
Factors of 42688729408000
Divisors of 42688729408000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 29 32 38 40 50 52 58 64 65 76 80 95 100 104 116 125 128 130 145 152 160 169 190 200 208 232 247 250 256 260 290 304 320 325 338 361 377 380 400 416 464 475 494 500 512 520 551 580 608 640 650 676 722 725 754 760 800 832 841 845 928 950 988 1000 1040 1102 1160 1216 1235 1280 1300 1352 1444 1450 1508 1520 1600 1625 1664 1682 1690 1805 1856 1885 1900 1976 2000 2080 2197 2204 2320 2375 2432 2470 2560 2600 2704 2755 2888 2900 3016 3040 3200 3211 3250 3328 3364 3380 3610 3625 3712 3770 3800 3952 4000 4160 4205 4225 4394 4408 4640 4693 4750 4864 4901 4940 5200 5408 5510 5776 5800 6032 6080 6175 6400 6422 6500 6656 6728 6760 7163 7220 7250 7424 7540 7600 7904 8000 8320 8410 8450 8788 8816 9025 9280 9386 9425 9500 9728 9802 9880 10400 10469 10816 10933 10985 11020 11552 11600 12064 12160 12350 12800 12844 13000 13456 13520 13775 14326 14440 14500 14848 15080 15200 15808 15979 16000 16055 16640 16820 16900 17576 17632 18050 18560 18772 18850 19000 19604 19760 20800 20938 21025 21125 21632 21866 21970 22040 23104 23200 23465 24128 24320 24505 24700 25688 26000 26912 27040 27550 28652 28880 29000 30160 30400 30875 31616 31958 32000 32110 33280 33640 33800 35152 35264 35815 36100 37120 37544 37700 38000 39208 39520 41600 41743 41876 42050 42250 43264 43732 43940 44080 45125 46208 46400 46930 47125 48256 48640 49010 49400 51376 52000 52345 53824 54080 54665 54925 55100 57304 57760 58000 60320 60800 61009 61750 63232 63713 63916 64000 64220 67280 67600 68875 70304 70528 71630 72200 74240 75088 75400 76000 78416 79040 79895 80275 83200 83486 83752 84100 84500 86528 87464 87880 88160 90250 92416 92800 93119 93860 94250 96512 98020 98800 102752 104000 104690 105125 107648 108160 109330 109850 110200 114608 115520 116000 117325 120640 121600 122018 122525 123500 126464 127426 127832 128440 134560 135200 136097 137750 140608 141056 142129 143260 144400 150176 150800 152000 156832 158080 159790 160550 166400 166972 167504 168200 169000 174928 175760 176320 179075 180500 184832 185600 186238 187720 188500 193024 196040 197600 205504 207727 208000 208715 209380 210250 215296 216320 218660 219700 220400 229216 231040 232000 234650 241280 243200 244036 245050 247000 254852 255664 256880 261725 269120 270400 272194 273325 274625 275500 281216 282112 284258 286520 288800 300352 301600 303601 304000 305045 313664 316160 318565 319580 321100 333944 335008 336400 338000 349856 351520 352640 358150 361000 371200 372476 375440 377000 392080 395200 399475 401375 411008 415454 416000 417430 418760 420500 430592 432640 437320 439400 440800 458432 462080 464000 465595 469300 482560 488072 490100 494000 509704 511328 513760 523450 538240 540800 544388 546650 549250 551000 562432 568516 573040 577600 586625 600704 603200 607202 608000 610090 612625 627328 632320 637130 639160 642200 667888 670016 672800 676000 680485 699712 703040 705280 710645 716300 722000 744952 750880 754000 784160 790400 793117 798950 802750 822016 830908 832000 834860 837520 841000 874640 878800 881600 895375 916864 924160 928000 931190 938600 965120 976144 980200 988000 1019408 1022656 1027520 1038635 1043575 1046900 1076480 1081600 1088776 1093300 1098500 1102000 1124864 1137032 1146080 1155200 1173250 1201408 1206400 1210547 1214404 1216000 1220180 1225250 1254656 1274260 1278320 1284400 1308625 1335776 1340032 1345600 1352000 1360970 1366625 1399424 1406080 1410560 1421290 1432600 1444000 1489904 1501760 1508000 1518005 1525225 1568320 1580800 1586234 1592825 1597900 1605500 1644032 1661816 1669720 1675040 1682000 1749280 1757600 1763200 1769261 1790750 1833728 1847677 1856000 1862380 1877200 1952288 1960400 1976000 1997375 2038816 2045312 2055040 2077270 2087150 2093800 2152960 2163200 2177552 2186600 2197000 2204000 2274064 2292160 2310400 2327975 2346500 2402816 2412800 2421094 2428808 2440360 2450500 2509312 2548520 2556640 2568800 2617250 2671552 2680064 2691200 2700451 2704000 2721940 2733250 2798848 2812160 2842580 2865200 2888000 2979808 3003520 3016000 3036010 3050450 3136640 3161600 3172468 3185650 3195800 3211000 3323632 3339440 3350080 3364000 3402425 3498560 3515200 3526400 3538522 3553225 3581500 3667456 3695354 3724760 3754400 3904576 3920800 3946813 3952000 3965585 3994750 4077632 4090624 4110080 4154540 4174300 4187600 4355104 4373200 4394000 4408000 4548128 4584320 4620800 4655950 4693000 4825600 4842188 4857616 4880720 4901000 5097040 5113280 5137600 5193175 5217875 5234500 5343104 5360128 5382400 5400902 5408000 5443880 5466500 5597696 5624320 5685160 5730400 5776000 5959616 6007040 6032000 6052735 6072020 6100900 6273280 6344936 6371300 6391600 6422000 6647264 6678880 6700160 6728000 6804850 6997120 7030400 7052800 7077044 7106450 7163000 7390708 7449520 7508800 7590025 7626125 7809152 7841600 7893626 7904000 7931170 7964125 7989500 8155264 8181248 8220160 8309080 8348600 8375200 8710208 8746400 8788000 8816000 8846305 9096256 9168640 9238385 9311900 9386000 9684376 9715232 9761440 9802000 10194080 10226560 10275200 10386350 10435750 10469000 10686208 10764800 10801804 10816000 10887760 10933000 11370320 11460800 11552000 11639875 11919232 12014080 12064000 12105470 12144040 12201800 12546560 12689872 12742600 12783200 12844000 13294528 13357760 13400320 13456000 13502255 13609700 13994240 14060800 14154088 14212900 14326000 14781416 14899040 15017600 15180050 15252250 15618304 15683200 15787252 15808000 15862340 15928250 15979000 16310528 16618160 16697200 16750400 17012125 17420416 17492800 17576000 17632000 17692610 17766125 18192512 18337280 18476770 18623800 18772000 19368752 19430464 19522880 19604000 19734065 19827925 20388160 20453120 20550400 20772700 20871500 20938000 21372416 21603608 21775520 21866000 22740640 22921600 23000393 23104000 23279750 23838464 24128000 24210940 24288080 24403600 25379744 25485200 25566400 25688000 25965875 26589056 26715520 26800640 26912000 27004510 27219400 27988480 28121600 28308176 28425800 28652000 29562832 29798080 30035200 30263675 30360100 30504500 31236608 31366400 31574504 31724680 31856500 31958000 32621056 33236320 33394400 33500800 34024250 34840832 34985600 35105863 35152000 35264000 35385220 35532250 36385024 36953540 37247600 37544000 37950125 38737504 38860928 39045760 39208000 39468130 39655850 40776320 40906240 41100800 41545400 41743000 41876000 43207216 43551040 43732000 44231525 45481280 45843200 46000786 46191925 46559500 47676928 48421880 48576160 48807200 50759488 50970400 51132800 51308569 51376000 51931750 53178112 53431040 53824000 54009020 54438800 56616352 56851600 57304000 59125664 59596160 60070400 60527350 60720200 61009000 62732800 63149008 63449360 63713000 63916000 66472640 66788800 67001600 67511275 68048500 69681664 69971200 70211726 70304000 70770440 71064500 72770048 73907080 74495200 75088000 75900250 77475008 77721856 78091520 78416000 78936260 79311700 81552640 83090800 83486000 83752000 86414432 87102080 87464000 88463050 90962560 91686400 92001572 92383850 93119000 96843760 97152320 97614400 98670325 99139625 101518976 101940800 102265600 102617138 102752000 103863500 106356224 106862080 108018040 108877600 113232704 113703200 114608000 115001965 118251328 119192320 121054700 121440400 122018000 126298016 126898720 127426000 127832000 132945280 133577600 134003200 135022550 136097000 139942400 140423452 140608000 141540880 142129000 147814160 148990400 150176000 151318375 151800500 154950016 155443712 156183040 156832000 157872520 158623400 163105280 166181600 166972000 167504000 172828864 174204160 174928000 175529315 176926100 181925120 184003144 184767700 186238000 193687520 194304640 195228800 197340650 198279250 203037952 203881600 204531200 205234276 205504000 207727000 216036080 217755200 221157625 226465408 227406400 229216000 230003930 230959625 236502656 238384640 242109400 242880800 244036000 252596032 253797440 254852000 255664000 256542845 265890560 267155200 270045100 272194000 280846904 283081760 284258000 295628320 297980800 300352000 302636750 303601000 309900032 313664000 315745040 317246800 332363200 333944000 335008000 337556375 345657728 348408320 349856000 351058630 353852200 363850240 368006288 369535400 372476000 387375040 388609280 390457600 394681300 396558500 406075904 407763200 410468552 415454000 432072160 435510400 442315250 452930816 454812800 458432000 460007860 461919250 473005312 484218800 485761600 488072000 493351625 505192064 507594880 509704000 511328000 513085690 531781120 534310400 540090200 544388000 561693808 566163520 568516000 575009825 591256640 595961600 605273500 607202000 619800064 631490080 634493600 664726400 667011397 667888000 670016000 675112750 691315456 699712000 702117260 707704400 736012576 739070800 744952000 774750080 777218560 780915200 789362600 793117000 815526400 820937104 830908000 864144320 871020800 877646575 884630500 905861632 909625600 920015720 923838500 946010624 968437600 971523200 976144000 986703250 1010384128 1015189760 1019408000 1022656000 1026171380 1080180400 1088776000 1123387616 1132327040 1137032000 1150019650 1182513280 1191923200 1210547000 1214404000 1262980160 1268987200 1282714225 1329452800 1334022794 1335776000 1350225500 1382630912 1404234520 1415408800 1472025152 1478141600 1489904000 1549500160 1578725200 1586234000 1641874208 1661816000 1728288640 1742041600 1755293150 1769261000 1819251200 1840031440 1847677000 1936875200 1943046400 1952288000 1973406500 2020768256 2030379520 2038816000 2052342760 2160360800 2177552000 2246775232 2264654080 2274064000 2300039300 2365026560 2421094000 2428808000 2525960320 2537974400 2565428450 2658905600 2668045588 2671552000 2700451000 2808469040 2830817600 2875049125 2944050304 2956283200 2979808000 3099000320 3157450400 3172468000 3283748416 3323632000 3335056985 3456577280 3510586300 3538522000 3680062880 3695354000 3873750400 3886092800 3904576000 3946813000 4077632000 4104685520 4320721600 4355104000 4388232875 4493550464 4529308160 4548128000 4600078600 4730053120 4842188000 4857616000 5051920640 5075948800 5130856900 5336091176 5400902000 5616938080 5661635200 5750098250 5888100608 5912566400 5959616000 6314900800 6344936000 6413571125 6567496832 6647264000 6670113970 6913154560 7021172600 7077044000 7360125760 7390708000 7747500800 7893626000 8209371040 8641443200 8710208000 8776465750 8987100928 9096256000 9200157200 9684376000 9715232000 10103841280 10151897600 10261713800 10672182352 10801804000 11233876160 11323270400 11500196500 11776201216 11825132800 12629801600 12689872000 12827142250 13134993664 13294528000 13340227940 14042345200 14154088000 14720251520 14781416000 15495001600 15787252000 16418742080 16675284925 17282886400 17552931500 17974201856 18400314400 19368752000 19430464000 20523427600 21344364704 21603608000 22467752320 22646540800 23000393000 23650265600 25259603200 25379744000 25654284500 26269987328 26680455880 28084690400 28308176000 29440503040 29562832000 31574504000 32837484160 33350569850 34565772800 35105863000 36800628800 38737504000 41046855200 42688729408 43207216000 44935504640 46000786000 50519206400 50759488000 51308569000 53360911760 56169380800 56616352000 58881006080 59125664000 63149008000 65674968320 66701139700 70211726000 73601257600 77475008000 82093710400 83376424625 85377458816 86414432000 89871009280 92001572000 102617138000 106721823520 112338761600 113232704000 118251328000 126298016000 131349936640 133402279400 140423452000 147202515200 164187420800 166752849250 170754917632 172828864000 184003144000 205234276000 213443647040 224677523200 252596032000 266804558800 280846904000 294405030400 328374841600 333505698500 341509835264 368006288000 410468552000 426887294080 449355046400 533609117600 561693808000 656749683200 667011397000 736012576000 820937104000 853774588160 1067218235200 1123387616000 1334022794000 1472025152000 1641874208000 1707549176320 2134436470400 2246775232000 2668045588000 3283748416000 4268872940800 5336091176000 8537745881600 10672182352000 21344364704000 42688729408000
- Sum of all divisors σ(n): 126043460983440
- Sum of proper divisors (its aliquot sum) s(n): 83354731575440
- 42688729408000 is an abundant number, because the sum of its proper divisors (83354731575440) is greater than itself. Its abundance is 40666002167440
Bases of 42688729408000
- Binary: 10011011010011001111101000110101100010000000002
- Hexadecimal: 0x26D33E8D6200
- Base-36: F4QXJARR4
Squares and roots of 42688729408000
- 42688729408000 squared (426887294080002) is 1822327618469444030464000000
- 42688729408000 cubed (426887294080003) is 77792850597567159332678604685312000000000
-
The
square root of 42688729408000 is 6533661.2559881003 -
The
cube root of 42688729408000 is 34949.2405452919
Scales and comparisons
How big is 42688729408000?- 42,688,729,408,000 seconds is equal to 1,357,369 years, 28 weeks, 4 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 42,688,729,408,000 would take you about three million, three hundred ninety-three thousand, four hundred twenty-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 42688729408000 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688729408000
- 42688729408000 backwards is 00080492788624
- 42688729408000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42688729408000's digits is 58
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42688729408000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 42688729408000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/42688729408000/
Chicago style:
Numbermatics. 2024. "Number 42688729408000 - Facts about the integer". https://numbermatics.com/n/42688729408000/
The information we have on file for 42688729408000 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 42688729408000, math, Factors of 42688729408000, curriculum, school, college, exams, university, Prime factorization of 42688729408000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred eighty-eight billion, seven hundred twenty-nine million, four hundred eight thousand.