12805874816000
12,805,874,816,000 is an even composite number composed of five prime numbers multiplied together.
12805874816000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 12805874816000:
210 × 53 × 73 × 31 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 97 × 97)See below for interesting mathematical facts about the number 12805874816000 from the Numbermatics database.
Names of 12805874816000
- Cardinal: 12805874816000 can be written as Twelve trillion, eight hundred five billion, eight hundred seventy-four million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.2805874816 × 1013
Factors of 12805874816000
Divisors of 12805874816000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 97 98 100 112 124 125 128 140 155 160 175 194 196 200 217 224 245 248 250 256 280 310 320 343 350 388 392 400 434 448 485 490 496 500 512 560 620 640 679 686 700 775 776 784 800 868 875 896 970 980 992 1000 1024 1085 1120 1225 1240 1280 1358 1372 1400 1519 1550 1552 1568 1600 1715 1736 1750 1792 1940 1960 1984 2000 2170 2240 2425 2450 2480 2560 2716 2744 2800 3007 3038 3100 3104 3136 3200 3395 3430 3472 3500 3584 3875 3880 3920 3968 4000 4340 4480 4753 4850 4900 4960 5120 5425 5432 5488 5600 6014 6076 6125 6200 6208 6272 6400 6790 6860 6944 7000 7168 7595 7750 7760 7840 7936 8000 8575 8680 8960 9409 9506 9700 9800 9920 10633 10850 10864 10976 11200 12028 12125 12152 12250 12400 12416 12544 12800 13580 13720 13888 14000 15035 15190 15500 15520 15680 15872 16000 16975 17150 17360 17920 18818 19012 19400 19600 19840 21049 21266 21700 21728 21952 22400 23765 24056 24250 24304 24500 24800 24832 25088 25600 27125 27160 27440 27776 28000 30070 30380 31000 31040 31360 31744 32000 33271 33950 34300 34720 35840 37636 37975 38024 38800 39200 39680 42098 42532 42875 43400 43456 43904 44800 47045 47530 48112 48500 48608 49000 49600 49664 50176 53165 54250 54320 54880 55552 56000 60140 60760 62000 62080 62720 64000 65863 66542 67900 68600 69440 75175 75272 75950 76048 77600 78400 79360 84196 84875 85064 85750 86800 86912 87808 89600 94090 95060 96224 97000 97216 98000 99200 99328 105245 106330 108500 108640 109760 111104 112000 118825 120280 121520 124000 124160 125440 128000 131726 133084 135800 137200 138880 147343 150350 150544 151900 152096 155200 156800 158720 166355 168392 169750 170128 171500 173600 173824 175616 179200 188180 189875 190120 192448 194000 194432 196000 198400 210490 212660 217000 217280 219520 222208 224000 235225 237650 240560 243040 248000 248320 250880 263452 265825 266168 271600 274400 277760 291679 294686 300700 301088 303800 304192 310400 313600 329315 332710 336784 339500 340256 343000 347200 347648 351232 375875 376360 379750 380240 384896 388000 388864 392000 396800 420980 425320 434000 434560 439040 448000 461041 470450 475300 481120 486080 496000 496640 526225 526904 531650 532336 543200 548800 555520 583358 589372 594125 601400 602176 607600 608384 620800 627200 658630 665420 673568 679000 680512 686000 694400 695296 736715 751750 752720 759500 760480 769792 776000 777728 784000 793600 831775 841960 850640 868000 869120 878080 896000 922082 940900 950600 962240 972160 992000 1031401 1052450 1053808 1063300 1064672 1086400 1097600 1111040 1166716 1176125 1178744 1188250 1202800 1204352 1215200 1216768 1241600 1254400 1317260 1329125 1330840 1347136 1358000 1361024 1372000 1388800 1458395 1473430 1503500 1505440 1519000 1520960 1539584 1552000 1555456 1568000 1646575 1663550 1683920 1701280 1736000 1738240 1756160 1844164 1881800 1901200 1924480 1944320 1984000 2041753 2062802 2104900 2107616 2126600 2129344 2172800 2195200 2305205 2333432 2352250 2357488 2376500 2405600 2408704 2430400 2433536 2483200 2631125 2634520 2658250 2661680 2694272 2716000 2722048 2744000 2777600 2916790 2946860 3007000 3010880 3038000 3041920 3079168 3104000 3136000 3227287 3293150 3327100 3367840 3402560 3472000 3476480 3683575 3688328 3763600 3802400 3848960 3888640 3968000 4083506 4125604 4158875 4209800 4215232 4253200 4258688 4345600 4390400 4610410 4666864 4704500 4714976 4753000 4811200 4817408 4860800 4867072 5157005 5262250 5269040 5316500 5323360 5388544 5432000 5444096 5488000 5555200 5833580 5893720 6014000 6021760 6076000 6083840 6208000 6272000 6454574 6586300 6654200 6735680 6805120 6944000 7291975 7367150 7376656 7527200 7604800 7697920 7777280 8167012 8232875 8251208 8317750 8419600 8430464 8506400 8517376 8691200 8780800 9220820 9333728 9409000 9429952 9506000 9622400 9634816 9721600 10208765 10314010 10524500 10538080 10633000 10646720 10777088 10864000 10888192 10976000 11526025 11667160 11787440 12028000 12043520 12152000 12167680 12416000 12909148 13172600 13308400 13471360 13610240 13888000 14292271 14583950 14734300 14753312 15054400 15209600 15395840 16136435 16334024 16465750 16502416 16635500 16839200 16860928 17012800 17034752 17382400 18417875 18441640 18667456 18818000 18859904 19012000 19244800 19443200 20417530 20628020 21049000 21076160 21266000 21293440 21554176 21728000 21952000 23052050 23334320 23574880 24056000 24087040 24304000 24335360 25785025 25818296 26345200 26616800 26942720 27220480 27776000 28584542 29167900 29468600 29506624 30108800 30419200 32272870 32668048 32931500 33004832 33271000 33678400 33721856 34025600 34069504 36459875 36835750 36883280 37334912 37636000 37719808 38024000 38489600 38886400 40835060 41256040 42098000 42152320 42532000 42586880 43456000 43904000 46104100 46668640 47149760 48112000 48174080 48608000 51043825 51570050 51636592 52690400 53233600 53885440 54440960 57169084 57630125 58335800 58937200 59013248 60217600 60838400 64545740 65336096 65863000 66009664 66542000 67356800 67443712 68051200 71461355 72919750 73671500 73766560 74669824 75272000 75439616 76048000 76979200 80682175 81670120 82512080 84196000 84304640 85064000 85173760 86912000 92208200 93337280 94299520 96224000 97216000 100045897 102087650 103140100 103273184 105380800 106467200 107770880 114338168 115260250 116671600 117874400 118026496 120435200 121676800 128925125 129091480 130672192 131726000 132019328 133084000 134713600 136102400 142922710 145839500 147343000 147533120 149339648 150544000 150879232 152096000 161364350 163340240 165024160 168392000 168609280 170128000 170347520 184416400 186674560 188599040 192448000 194432000 200091794 204175300 206280200 206546368 210761600 212934400 228676336 230520500 233343200 235748800 236052992 240870400 255219125 257850250 258182960 261344384 263452000 264038656 266168000 269427200 272204800 285845420 291679000 294686000 295066240 298679296 301088000 304192000 322728700 326680480 330048320 336784000 337218560 340256000 357306775 368832800 373349120 377198080 384896000 400183588 403410875 408350600 412560400 413092736 421523200 425868800 457352672 461041000 466686400 471497600 472105984 500229485 510438250 515700500 516365920 522688768 526904000 528077312 532336000 538854400 571690840 583358000 589372000 590132480 602176000 608384000 645457400 653360960 660096640 673568000 680512000 714613550 737665600 746698240 754396160 800367176 806821750 816701200 825120800 826185472 843046400 851737600 914705344 922082000 933372800 942995200 1000458970 1020876500 1031401000 1032731840 1045377536 1053808000 1056154624 1064672000 1143381680 1166716000 1178744000 1180264960 1204352000 1290914800 1306721920 1320193280 1347136000 1361024000 1429227100 1475331200 1493396480 1600734352 1613643500 1633402400 1650241600 1652370944 1686092800 1786533875 1829410688 1844164000 1866745600 1885990400 2000917940 2041753000 2062802000 2065463680 2090755072 2107616000 2129344000 2286763360 2333432000 2357488000 2360529920 2501147425 2581829600 2613443840 2640386560 2694272000 2858454200 2950662400 3201468704 3227287000 3266804800 3300483200 3304741888 3573067750 3658821376 3688328000 3733491200 3771980800 4001835880 4083506000 4125604000 4130927360 4215232000 4258688000 4573526720 4666864000 4714976000 5002294850 5163659200 5226887680 5280773120 5716908400 5901324800 6402937408 6454574000 6533609600 6600966400 7146135500 7317642752 7376656000 7466982400 8003671760 8167012000 8251208000 8261854720 8430464000 9147053440 9333728000 9429952000 10004589700 10327318400 10453775360 11433816800 11802649600 12505737125 12805874816 12909148000 13067219200 13201932800 14292271000 14635285504 14753312000 16007343520 16334024000 16502416000 16523709440 18294106880 18667456000 18859904000 20009179400 20654636800 22867633600 25011474250 25611749632 25818296000 26134438400 26403865600 28584542000 29506624000 32014687040 32668048000 33004832000 36588213760 37334912000 40018358800 41309273600 45735267200 50022948500 51223499264 51636592000 52268876800 57169084000 59013248000 64029374080 65336096000 66009664000 73176427520 80036717600 82618547200 91470534400 100045897000 102446998528 103273184000 114338168000 128058748160 130672192000 132019328000 160073435200 182941068800 200091794000 206546368000 228676336000 256117496320 261344384000 320146870400 365882137600 400183588000 413092736000 457352672000 512234992640 640293740800 800367176000 914705344000 1280587481600 1600734352000 1829410688000 2561174963200 3201468704000 6402937408000 12805874816000
- Sum of all divisors σ(n): 38859383347200
- Sum of proper divisors (its aliquot sum) s(n): 26053508531200
- 12805874816000 is an abundant number, because the sum of its proper divisors (26053508531200) is greater than itself. Its abundance is 13247633715200
Bases of 12805874816000
- Binary: 101110100101100110011001111010010100000000002
- Hexadecimal: 0xBA5999E9400
- Base-36: 4JEXR86WW
Squares and roots of 12805874816000
- 12805874816000 squared (128058748160002) is 163990429803063033856000000
- 12805874816000 cubed (128058748160003) is 2100040915080060744917105770496000000000
-
The
square root of 12805874816000 is 3578529.7003098913 -
The
cube root of 12805874816000 is 23395.7201221175
Scales and comparisons
How big is 12805874816000?- 12,805,874,816,000 seconds is equal to 407,187 years, 10 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 12,805,874,816,000 would take you about one million, seventeen thousand, nine hundred sixty-eight 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 12805874816000 cubic inches would be around 1949.6 feet tall.
Recreational maths with 12805874816000
- 12805874816000 backwards is 00061847850821
- 12805874816000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12805874816000's digits is 50
- More coming soon!
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The information we have on file for 12805874816000 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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