13996786947984000
13,996,786,947,984,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13996786947984000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1248 divisors.
13996786947984000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13996786947984000:
27 × 312 × 53 × 12832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 1283 × 1283)See below for interesting mathematical facts about the number 13996786947984000 from the Numbermatics database.
Names of 13996786947984000
- Cardinal: 13996786947984000 can be written as Thirteen quadrillion, nine hundred ninety-six trillion, seven hundred eighty-six billion, nine hundred forty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3996786947984 × 1016
Factors of 13996786947984000
Divisors of 13996786947984000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 540 576 600 640 648 675 720 729 750 800 810 864 900 960 972 1000 1080 1125 1152 1200 1215 1283 1296 1350 1440 1458 1500 1600 1620 1728 1800 1920 1944 2000 2025 2160 2187 2250 2400 2430 2566 2592 2700 2880 2916 3000 3200 3240 3375 3456 3600 3645 3849 3888 4000 4050 4320 4374 4500 4800 4860 5132 5184 5400 5760 5832 6000 6075 6415 6480 6561 6750 7200 7290 7698 7776 8000 8100 8640 8748 9000 9600 9720 10125 10264 10368 10800 10935 11547 11664 12000 12150 12830 12960 13122 13500 14400 14580 15396 15552 16000 16200 17280 17496 18000 18225 19245 19440 19683 20250 20528 21600 21870 23094 23328 24000 24300 25660 25920 26244 27000 28800 29160 30375 30792 31104 32075 32400 32805 34641 34992 36000 36450 38490 38880 39366 40500 41056 43200 43740 46188 46656 48000 48600 51320 51840 52488 54000 54675 57735 58320 59049 60750 61584 64150 64800 65610 69282 69984 72000 72900 76980 77760 78732 81000 82112 86400 87480 91125 92376 93312 96225 97200 98415 102640 103923 104976 108000 109350 115470 116640 118098 121500 123168 128300 129600 131220 138564 139968 144000 145800 153960 155520 157464 160375 162000 164025 164224 173205 174960 177147 182250 184752 192450 194400 196830 205280 207846 209952 216000 218700 230940 233280 236196 243000 246336 256600 259200 262440 273375 277128 279936 288675 291600 295245 307920 311769 314928 320750 324000 328050 346410 349920 354294 364500 369504 384900 388800 393660 410560 415692 419904 432000 437400 461880 466560 472392 481125 486000 492075 492672 513200 519615 524880 531441 546750 554256 577350 583200 590490 615840 623538 629856 641500 648000 656100 692820 699840 708588 729000 739008 769800 777600 787320 820125 821120 831384 839808 866025 874800 885735 923760 935307 944784 962250 972000 984150 1026400 1039230 1049760 1062882 1093500 1108512 1154700 1166400 1180980 1231680 1247076 1259712 1283000 1296000 1312200 1385640 1399680 1417176 1443375 1458000 1476225 1478016 1539600 1558845 1574640 1640250 1646089 1662768 1732050 1749600 1771470 1847520 1870614 1889568 1924500 1944000 1968300 2052800 2078460 2099520 2125764 2187000 2217024 2309400 2332800 2361960 2460375 2463360 2494152 2519424 2566000 2598075 2624400 2657205 2771280 2805921 2834352 2886750 2916000 2952450 3079200 3117690 3149280 3280500 3292178 3325536 3464100 3499200 3542940 3695040 3741228 3779136 3849000 3888000 3936600 4105600 4156920 4199040 4251528 4330125 4374000 4428675 4434048 4618800 4676535 4723920 4920750 4938267 4988304 5132000 5196150 5248800 5314410 5542560 5611842 5668704 5773500 5832000 5904900 6158400 6235380 6298560 6561000 6584356 6651072 6928200 6998400 7085880 7381125 7390080 7482456 7558272 7698000 7794225 7873200 8230445 8313840 8417763 8503056 8660250 8748000 8857350 9237600 9353070 9447840 9841500 9876534 9976608 10264000 10392300 10497600 10628820 11085120 11223684 11337408 11547000 11664000 11809800 12316800 12470760 12597120 12990375 13122000 13168712 13286025 13302144 13856400 14029605 14171760 14762250 14814801 14964912 15396000 15588450 15746400 16460890 16627680 16835526 17006112 17320500 17496000 17714700 18475200 18706140 18895680 19683000 19753068 19953216 20528000 20784600 20995200 21257640 22143375 22170240 22447368 22674816 23094000 23382675 23619600 24691335 24941520 25253289 25980750 26244000 26337424 26572050 27712800 28059210 28343520 29524500 29629602 29929824 30792000 31176900 31492800 32921780 33255360 33671052 34012224 34641000 34992000 35429400 36950400 37412280 37791360 38971125 39366000 39506136 39906432 41152225 41569200 42088815 42515280 44286750 44444403 44894736 46188000 46765350 47239200 49382670 49883040 50506578 51961500 52488000 52674848 53144100 55425600 56118420 56687040 59049000 59259204 59859648 61584000 62353800 62985600 65843560 66430125 66510720 67342104 68024448 69282000 70148025 70858800 74074005 74824560 75759867 77942250 78732000 79012272 82304450 83138400 84177630 85030560 88573500 88888806 89789472 92376000 93530700 94478400 98765340 99766080 101013156 103923000 104976000 105349696 106288200 110851200 112236840 113374080 116913375 118098000 118518408 119719296 123456675 124707600 126266445 131687120 132860250 133333209 134684208 138564000 140296050 141717600 148148010 149649120 151519734 155884500 157464000 158024544 164608900 166276800 168355260 170061120 177147000 177777612 179578944 184752000 187061400 188956800 197530680 199532160 202026312 205761125 207846000 210444075 210699392 212576400 222222015 224473680 227279601 233826750 236196000 237036816 246913350 249415200 252532890 263374240 265720500 266666418 269368416 277128000 280592100 283435200 296296020 299298240 303039468 311769000 314928000 316049088 329217800 332553600 336710520 340122240 350740125 354294000 355555224 359157888 370370025 374122800 378799335 395061360 399999627 404052624 411522250 415692000 420888150 425152800 444444030 448947360 454559202 467653500 472392000 474073632 493826700 498830400 505065780 526748480 531441000 533332836 538736832 554256000 561184200 566870400 592592040 598596480 606078936 617283375 623538000 631332225 632098176 658435600 666666045 673421040 681838803 701480250 708588000 711110448 740740050 748245600 757598670 790122720 799999254 808105248 823044500 831384000 841776300 850305600 888888060 897894720 909118404 935307000 944784000 948147264 987653400 997660800 1010131560 1052220375 1053496960 1062882000 1066665672 1077473664 1111110075 1122368400 1136398005 1185184080 1199998881 1212157872 1234566750 1247076000 1262664450 1316871200 1333332090 1346842080 1363677606 1402960500 1417176000 1422220896 1481480100 1496491200 1515197340 1580245440 1599998508 1616210496 1646089000 1662768000 1683552600 1700611200 1777776120 1795789440 1818236808 1851850125 1870614000 1893996675 1896294528 1975306800 1999998135 2020263120 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10666656720 10799989929 10909420848 11111100750 11223684000 11363980050 11851840800 11999988810 12121578720 12626644500 12799988064 13168712000 13333320900 13468420800 13636776060 14222208960 14399986572 14545894464 14814801000 14964912000 15151973400 15802454400 15999985080 16162104960 16666651125 16835526000 17045970075 17066650752 17777761200 17999983215 18182368080 18939966750 19199982096 19753068000 19999981350 20202631200 21333313440 21599979858 21818841696 22222201500 22447368000 22727960100 23703681600 23999977620 24243157440 25253289000 25599976128 26337424000 26666641800 26936841600 27273552120 28409950125 28444417920 28799973144 29091788928 29629602000 29999972025 30303946800 31999970160 32399969787 33333302250 33671052000 34091940150 35555522400 35999966430 36364736160 37879933500 38399964192 39506136000 39999962700 40405262400 42666626880 43199959716 43637683392 44444403000 44894736000 45455920200 47407363200 47999955240 48486314880 49999953375 50506578000 51199952256 53333283600 53999949645 54547104240 56819900250 57599946288 59259204000 59999944050 60607893600 63999940320 64799939574 66666604500 67342104000 68183880300 71111044800 71999932860 72729472320 75759867000 76799928384 79012272000 79999925400 80810524800 85229850375 85333253760 86399919432 87275366784 88888806000 89999916075 90911840400 95999910480 97199909361 99999906750 101013156000 106666567200 107999899290 109094208480 113639800500 115199892576 118518408000 119999888100 121215787200 127999880640 129599879148 133333209000 134684208000 136367760600 142222089600 143999865720 145458944640 149999860125 151519734000 153599856768 159999850800 161999848935 170459700750 172799838864 177777612000 179999832150 181823680800 191999820960 194399818722 199999813500 202026312000 213333134400 215999798580 218188416960 227279601000 230399785152 237036816000 239999776200 242431574400 255999761280 259199758296 266666418000 269999748225 272735521200 287999731440 291599728083 299999720250 303039468000 319999701600 323999697870 340919401500 345599677728 355555224000 359999664300 363647361600 383999641920 388799637444 399999627000 404052624000 426666268800 431999597160 436376833920 449999580375 454559202000 460799570304 479999552400 485999546805 518399516592 533332836000 539999496450 545471042400 575999462880 583199456166 599999440500 606078936000 639999403200 647999395740 681838803000 691199355456 711110448000 719999328600 727294723200 767999283840 777599274888 799999254000 809999244675 863999194320 874799184249 899999160750 909118404000 959999104800 971999093610 1036799033184 1066665672000 1079998992900 1090942084800 1151998925760 1166398912332 1199998881000 1212157872000 1279998806400 1295998791480 1349998741125 1363677606000 1382398710912 1439998657200 1457998640415 1555198549776 1599998508000 1619998489350 1727998388640 1749598368498 1799998321500 1818236808000 1919998209600 1943998187220 2073598066368 2133331344000 2159997985800 2181884169600 2303997851520 2332797824664 2399997762000 2429997734025 2591997582960 2699997482250 2727355212000 2879997314400 2915997280830 3110397099552 3199997016000 3239996978700 3455996777280 3499196736996 3599996643000 3636473616000 3839996419200 3887996374440 4049996223375 4147196132736 4319995971600 4373995921245 4665595649328 4799995524000 4859995468050 5183995165920 5399994964500 5454710424000 5759994628800 5831994561660 6220794199104 6399994032000 6479993957400 6911993554560 6998393473992 7199993286000 7289993202075 7775992748880 8099992446750 8639991943200 8747991842490 9331191298656 9599991048000 9719990936100 10367990331840 10799989929000 10909420848000 11519989257600 11663989123320 12149988670125 12441588398208 12959987914800 13996786947984 14399986572000 14579986404150 15551985497760 16199984893500 17279983886400 17495983684980 18662382597312 19199982096000 19439981872200 20735980663680 21599979858000 21869979606225 23327978246640 24299977340250 25919975829600 27993573895968 28799973144000 29159972808300 31103970995520 32399969787000 34559967772800 34991967369960 36449966010375 37324765194624 38879963744400 43199959716000 43739959212450 46655956493280 48599954680500 51839951659200 55987147791936 57599946288000 58319945616600 62207941991040 64799939574000 69983934739920 72899932020750 77759927488800 86399919432000 87479918424900 93311912986560 97199909361000 103679903318400 109349898031125 111974295583872 116639891233200 129599879148000 139967869479840 145799864041500 155519854977600 172799838864000 174959836849800 186623825973120 194399818722000 218699796062250 233279782466400 259199758296000 279935738959680 291599728083000 311039709955200 349919673699600 388799637444000 437399592124500 466559564932800 518399516592000 559871477919360 583199456166000 699839347399200 777599274888000 874799184249000 933119129865600 1166398912332000 1399678694798400 1555198549776000 1749598368498000 2332797824664000 2799357389596800 3499196736996000 4665595649328000 6998393473992000 13996786947984000
- Sum of all divisors σ(n): 52239951590348340
- Sum of proper divisors (its aliquot sum) s(n): 38243164642364340
- 13996786947984000 is an abundant number, because the sum of its proper divisors (38243164642364340) is greater than itself. Its abundance is 24246377694380340
Bases of 13996786947984000
- Binary: 1100011011101000000000111010100000100000001010100000002
- Hexadecimal: 0x31BA00EA080A80
- Base-36: 3TTG35MI000
Squares and roots of 13996786947984000
- 13996786947984000 squared (139967869479840002) is 195910044867255257521664256000000
- 13996786947984000 cubed (139967869479840003) is 2742111158976958220345733001498584059904000000000
-
The
square root of 13996786947984000 is 118308017.2599642547 -
The
cube root of 13996786947984000 is 240995.7871200107
Scales and comparisons
How big is 13996786947984000?- 13,996,786,947,984,000 seconds is equal to 445,054,530 years, 2 weeks, 1 day.
-
To count from 1 to 13,996,786,947,984,000 would take you about one billion, three hundred thirty-five million, one hundred sixty-three thousand, five hundred 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 13996786947984000 cubic inches would be around 20083 feet tall.
Recreational maths with 13996786947984000
- 13996786947984000 backwards is 00048974968769931
- 13996786947984000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13996786947984000's digits is 90
- More coming soon!
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The information we have on file for 13996786947984000 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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