13705424128000
13,705,424,128,000 is an even composite number composed of six prime numbers multiplied together.
13705424128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13705424128000:
211 × 53 × 113 × 19 × 29 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 29 × 73)See below for interesting mathematical facts about the number 13705424128000 from the Numbermatics database.
Names of 13705424128000
- Cardinal: 13705424128000 can be written as Thirteen trillion, seven hundred five billion, four hundred twenty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3705424128 × 1013
Factors of 13705424128000
Divisors of 13705424128000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 29 32 38 40 44 50 55 58 64 73 76 80 88 95 100 110 116 121 125 128 145 146 152 160 176 190 200 209 220 232 242 250 256 275 290 292 304 319 320 352 365 380 400 418 440 464 475 484 500 512 550 551 580 584 605 608 638 640 704 725 730 760 800 803 836 880 928 950 968 1000 1024 1045 1100 1102 1160 1168 1210 1216 1276 1280 1331 1375 1387 1408 1450 1460 1520 1595 1600 1606 1672 1760 1825 1856 1900 1936 2000 2048 2090 2117 2200 2204 2299 2320 2336 2375 2420 2432 2552 2560 2662 2750 2755 2774 2816 2900 2920 3025 3040 3190 3200 3212 3344 3509 3520 3625 3650 3712 3800 3872 4000 4015 4180 4234 4400 4408 4598 4640 4672 4750 4840 4864 5104 5120 5225 5324 5500 5510 5548 5632 5800 5840 6050 6061 6080 6380 6400 6424 6655 6688 6935 7018 7040 7250 7300 7424 7600 7744 7975 8000 8030 8360 8468 8800 8816 8833 9125 9196 9280 9344 9500 9680 9728 10208 10240 10450 10585 10648 11000 11020 11096 11264 11495 11600 11680 12100 12122 12160 12760 12800 12848 13310 13376 13775 13870 14036 14080 14500 14600 14848 15125 15200 15257 15488 15950 16000 16060 16720 16936 17545 17600 17632 17666 18250 18392 18560 18688 19000 19360 19456 20075 20416 20900 21170 21296 22000 22040 22192 22528 22990 23200 23287 23360 24200 24244 24320 25289 25520 25600 25696 26125 26620 26752 27550 27740 28072 28160 29000 29200 29696 30250 30305 30400 30514 30976 31900 32000 32120 33275 33440 33872 34675 35090 35200 35264 35332 36500 36784 37120 37376 38000 38599 38720 38912 39875 40150 40223 40832 41800 42340 42592 44000 44080 44165 44384 45980 46400 46574 46720 48400 48488 48640 50578 51040 51200 51392 52250 52925 53240 53504 55100 55480 56144 56320 57475 58000 58400 59392 60500 60610 60800 61028 61952 63800 64000 64240 66550 66671 66880 67744 68875 69350 70180 70400 70528 70664 73000 73568 74240 74752 76000 76285 77198 77440 79750 80300 80446 81664 83600 84680 85184 87725 88000 88160 88330 88768 91960 92800 93148 93440 96800 96976 97163 97280 100375 101156 102080 102784 104500 105850 106480 107008 110200 110960 112288 112640 114950 116000 116435 116800 121000 121220 121600 122056 123904 126445 127600 128000 128480 133100 133342 133760 135488 137750 138700 140360 140800 141056 141328 146000 147136 148480 149504 151525 152000 152570 154396 154880 159500 160600 160892 163328 166375 167200 167827 169360 170368 173375 175450 176000 176320 176660 177536 183920 185600 186296 186880 192995 193600 193952 194326 194560 200750 201115 202312 204160 205568 209000 211700 212960 214016 220400 220825 221920 224576 229900 232000 232870 233600 242000 242440 243200 244112 247808 252890 255200 256000 256157 256960 264625 266200 266684 267520 270976 275500 277400 280720 281600 282112 282656 287375 292000 294272 296960 303050 304000 305140 308792 309760 319000 321200 321784 326656 332750 333355 334400 335654 338720 340736 346750 350900 352000 352640 353320 355072 367840 371200 372592 373760 381425 385990 387200 387904 388652 401500 402230 404624 408320 411136 418000 423400 425920 428032 438625 440800 441650 442453 443840 449152 459800 464000 465740 467200 484000 484880 485815 486400 488224 505780 510400 512314 513920 529250 532400 533368 535040 541952 551000 554800 561440 563200 564224 565312 574750 582175 584000 588544 606100 608000 610280 617584 619520 632225 638000 642400 643568 653312 665500 666710 668800 671308 677440 681472 693500 701800 704000 705280 706640 710144 733381 735680 742400 745184 747520 757625 762850 771980 774400 775808 777304 803000 804460 809248 816640 822272 836000 839135 846800 851840 877250 881600 883300 884906 887680 898304 919600 928000 931480 934400 964975 968000 969760 971630 972800 976448 1005575 1011560 1020800 1024628 1027840 1058500 1064800 1066736 1070080 1083904 1102000 1104125 1109600 1122880 1128448 1130624 1149500 1164350 1168000 1177088 1212200 1216000 1220560 1235168 1239040 1264450 1276000 1280785 1284800 1287136 1331000 1333420 1337600 1342616 1354880 1362944 1387000 1403600 1408000 1410560 1413280 1420288 1466762 1471360 1484800 1490368 1515250 1525700 1543960 1548800 1551616 1554608 1606000 1608920 1618496 1633280 1644544 1666775 1672000 1678270 1693600 1703680 1754500 1763200 1766600 1769812 1775360 1796608 1839200 1846097 1856000 1862960 1868800 1907125 1929950 1936000 1939520 1943260 1952896 2011150 2023120 2041600 2049256 2055680 2117000 2129600 2133472 2140160 2167808 2204000 2208250 2212265 2219200 2245760 2261248 2299000 2328700 2336000 2354176 2424400 2429075 2432000 2441120 2470336 2528900 2552000 2561570 2569600 2574272 2662000 2666840 2675200 2685232 2709760 2725888 2774000 2807200 2816000 2817727 2821120 2826560 2840576 2910875 2933524 2942720 2980736 3030500 3051400 3087920 3097600 3103232 3109216 3161125 3212000 3217840 3236992 3266560 3333550 3344000 3356540 3387200 3407360 3509000 3526400 3533200 3539624 3550720 3593216 3666905 3678400 3692194 3712000 3725920 3737600 3814250 3859900 3872000 3879040 3886520 3905792 4022300 4046240 4083200 4098512 4111360 4195675 4234000 4259200 4266944 4335616 4408000 4416500 4424530 4438400 4491520 4522496 4598000 4657400 4672000 4708352 4824875 4848800 4858150 4864000 4866983 4882240 4940672 5027875 5057800 5104000 5123140 5139200 5148544 5324000 5333680 5350400 5370464 5419520 5548000 5614400 5635454 5642240 5653120 5821750 5867048 5885440 5961472 6061000 6102800 6175840 6195200 6206464 6218432 6322250 6403925 6424000 6435680 6473984 6667100 6688000 6713080 6774400 6814720 7018000 7052800 7066400 7079248 7101440 7186432 7333810 7356800 7384388 7424000 7451840 7628500 7719800 7744000 7758080 7773040 7811584 8044600 8092480 8166400 8197024 8222720 8333875 8391350 8468000 8518400 8533888 8816000 8833000 8849060 8876800 8983040 9044992 9196000 9230485 9314800 9344000 9649750 9697600 9716300 9733966 9764480 9881344 10055750 10115600 10208000 10246280 10278400 10297088 10648000 10667360 10700800 10740928 10839040 11061325 11096000 11228800 11270908 11306240 11643500 11734096 11770880 11922944 12122000 12145375 12205600 12351680 12412928 12436864 12644500 12807850 12848000 12871360 12947968 13334200 13376000 13426160 13548800 13629440 14036000 14088635 14105600 14132800 14158496 14202880 14667620 14713600 14768776 14903680 15257000 15439600 15488000 15516160 15546080 15623168 16089200 16184960 16332800 16394048 16667750 16782700 16936000 17036800 17067776 17632000 17666000 17698120 17753600 17966080 18089984 18334525 18392000 18460970 18629600 18688000 19299500 19395200 19432600 19467932 19528960 19762688 20111500 20231200 20416000 20492560 20556800 20594176 20978375 21296000 21334720 21481856 21678080 22122650 22192000 22457600 22541816 22612480 23287000 23468192 23541760 23845888 24244000 24290750 24334915 24411200 24703360 24873728 25289000 25615700 25696000 25742720 25895936 26668400 26752000 26852320 27097600 28072000 28177270 28211200 28265600 28316992 29335240 29427200 29537552 29807360 30514000 30879200 30976000 31032320 31092160 31246336 32019625 32178400 32369920 32788096 33335500 33565400 33872000 34073600 34135552 35264000 35332000 35396240 35507200 35932160 36669050 36784000 36921940 37259200 38599000 38790400 38865200 38935864 39057920 39525376 40223000 40462400 40832000 40985120 41113600 41188352 41956750 42592000 42669440 42963712 44245300 44384000 44915200 45083632 45224960 46152425 46574000 46936384 47691776 48488000 48581500 48669830 48822400 49406720 49747456 50578000 51231400 51392000 51485440 51791872 53336800 53504000 53536813 53704640 54195200 55306625 56144000 56354540 56531200 56633984 58670480 58854400 59075104 59614720 61028000 61758400 62064640 62184320 64039250 64356800 64739840 65576192 66671000 67130800 67744000 68147200 68271104 70443175 70528000 70664000 70792480 71014400 73338100 73568000 73843880 74518400 77198000 77580800 77730400 77871728 78115840 79050752 80446000 80924800 81664000 81970240 82376704 83913500 85184000 85338880 85927424 88490600 88768000 89830400 90167264 90449920 91672625 92304850 93148000 93872768 96976000 97163000 97339660 97644800 98813440 99494912 101156000 102462800 102784000 102970880 106673600 107073626 107409280 108390400 110613250 112288000 112709080 113062400 113267968 117340960 117708800 118150208 119229440 121674575 122056000 123516800 124368640 128078500 128713600 129479680 131152384 133342000 134261600 135488000 136542208 140886350 141056000 141328000 141584960 146676200 147136000 147687760 149036800 154396000 155161600 155460800 155743456 156231680 160892000 161849600 163940480 167827000 170368000 170677760 171854848 176981200 177536000 179660800 180334528 183345250 184609700 186296000 187745536 193952000 194326000 194679320 195289600 197626880 198989824 202312000 204925600 205568000 205941760 213347200 214147252 214818560 221226500 224576000 225418160 226124800 226535936 230762125 234681920 236300416 238458880 243349150 244112000 247033600 248737280 256157000 257427200 258959360 262304768 266684000 267684065 268523200 270976000 281772700 282656000 283169920 293352400 294272000 295375520 298073600 308792000 310323200 310921600 311486912 321784000 323699200 327880960 335654000 340736000 341355520 343709696 352215875 353962400 355072000 360669056 366690500 369219400 372592000 375491072 387904000 388652000 389358640 390579200 395253760 404624000 409851200 411883520 426694400 428294504 429637120 442453000 449152000 450836320 452249600 453071872 461524250 469363840 472600832 486698300 488224000 494067200 497474560 512314000 514854400 524609536 533368000 535368130 537046400 541952000 563545400 565312000 566339840 586704800 588544000 590751040 596147200 608372875 617584000 621843200 622973824 643568000 647398400 655761920 671308000 682711040 704431750 707924800 721338112 733381000 738438800 745184000 750982144 775808000 777304000 778717280 781158400 809248000 819702400 853388800 856589008 859274240 884906000 898304000 901672640 906143744 923048500 938727680 945201664 973396600 976448000 988134400 994949120 1024628000 1029708800 1066736000 1070736260 1074092800 1127090800 1130624000 1132679680 1173409600 1181502080 1192294400 1216745750 1235168000 1243686400 1245947648 1287136000 1294796800 1311523840 1338420325 1342616000 1408863500 1415849600 1442676224 1466762000 1476877600 1490368000 1501964288 1551616000 1554608000 1557434560 1618496000 1639404800 1706777600 1713178016 1718548480 1769812000 1803345280 1846097000 1877455360 1890403328 1946793200 1952896000 1976268800 2049256000 2059417600 2133472000 2141472520 2148185600 2254181600 2261248000 2265359360 2346819200 2363004160 2433491500 2470336000 2487372800 2491895296 2574272000 2623047680 2676840650 2685232000 2817727000 2831699200 2885352448 2933524000 2953755200 2980736000 3109216000 3114869120 3236992000 3278809600 3413555200 3426356032 3539624000 3606690560 3692194000 3754910720 3780806656 3893586400 3905792000 4098512000 4266944000 4282945040 4296371200 4508363200 4530718720 4693638400 4726008320 4866983000 4940672000 4974745600 4983790592 5148544000 5353681300 5370464000 5635454000 5663398400 5770704896 5867048000 5907510400 5961472000 6218432000 6229738240 6473984000 6557619200 6692101625 6852712064 7079248000 7213381120 7384388000 7509821440 7787172800 8197024000 8533888000 8565890080 8592742400 9016726400 9387276800 9452016640 9733966000 9881344000 9967581184 10297088000 10707362600 10740928000 11270908000 11326796800 11734096000 11815020800 12436864000 12459476480 13115238400 13384203250 13705424128 14158496000 14426762240 14768776000 15574345600 16394048000 17067776000 17131780160 18033452800 18774553600 18904033280 19467932000 21414725200 21481856000 22541816000 22653593600 23468192000 23630041600 24873728000 24918952960 26768406500 27410848256 28316992000 28853524480 29537552000 31148691200 32788096000 34263560320 36066905600 37549107200 38935864000 42829450400 42963712000 45083632000 46936384000 47260083200 49837905920 53536813000 54821696512 56633984000 59075104000 62297382400 65576192000 68527120640 72133811200 77871728000 85658900800 90167264000 93872768000 94520166400 107073626000 109643393024 113267968000 118150208000 124594764800 137054241280 144267622400 155743456000 171317801600 180334528000 187745536000 214147252000 236300416000 249189529600 274108482560 311486912000 342635603200 360669056000 428294504000 472600832000 548216965120 622973824000 685271206400 721338112000 856589008000 1245947648000 1370542412800 1713178016000 2741084825600 3426356032000 6852712064000 13705424128000
- Sum of all divisors σ(n): 41524322112000
- Sum of proper divisors (its aliquot sum) s(n): 27818897984000
- 13705424128000 is an abundant number, because the sum of its proper divisors (27818897984000) is greater than itself. Its abundance is 14113473856000
Bases of 13705424128000
- Binary: 110001110111000010101110111111001000000000002
- Hexadecimal: 0xC770AEFC800
- Base-36: 4UW6NNU9S
Squares and roots of 13705424128000
- 13705424128000 squared (137054241280002) is 187838650528364560384000000
- 13705424128000 cubed (137054241280003) is 2574408373122407594266986545152000000000
-
The
square root of 13705424128000 is 3702083.7548602273 -
The
cube root of 13705424128000 is 23931.1825656719
Scales and comparisons
How big is 13705424128000?- 13,705,424,128,000 seconds is equal to 435,790 years, 4 weeks, 6 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 13,705,424,128,000 would take you about one million, eighty-nine thousand, four hundred seventy-five 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 13705424128000 cubic inches would be around 1994.3 feet tall.
Recreational maths with 13705424128000
- 13705424128000 backwards is 00082142450731
- The number of decimal digits it has is: 14
- The sum of 13705424128000's digits is 37
- More coming soon!
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The information we have on file for 13705424128000 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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