12838517059322745984000
12,838,517,059,322,745,984,000 is an even composite number composed of five prime numbers multiplied together.
12838517059322745984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 12838517059322745984000:
210 × 3 × 53 × 903761 × 36993893491
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 903761 × 36993893491)See below for interesting mathematical facts about the number 12838517059322745984000 from the Numbermatics database.
Names of 12838517059322745984000
- Cardinal: 12838517059322745984000 can be written as Twelve sextillion, eight hundred thirty-eight quintillion, five hundred seventeen quadrillion, fifty-nine trillion, three hundred twenty-two billion, seven hundred forty-five million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.2838517059322745984 × 1022
Factors of 12838517059322745984000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 36994797262
Divisors of 12838517059322745984000
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1024 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3072 3200 3840 4000 4800 5120 6000 6400 7680 8000 9600 12000 12800 15360 16000 19200 24000 25600 32000 38400 48000 64000 76800 96000 128000 192000 384000 903761 1807522 2711283 3615044 4518805 5422566 7230088 9037610 10845132 13556415 14460176 18075220 21690264 22594025 27112830 28920352 36150440 43380528 45188050 54225660 57840704 67782075 72300880 86761056 90376100 108451320 112970125 115681408 135564150 144601760 173522112 180752200 216902640 225940250 231362816 271128300 289203520 338910375 347044224 361504400 433805280 451880500 462725632 542256600 578407040 677820750 694088448 723008800 867610560 903761000 925451264 1084513200 1156814080 1355641500 1388176896 1446017600 1735221120 1807522000 2169026400 2313628160 2711283000 2776353792 2892035200 3470442240 3615044000 4338052800 4627256320 5422566000 5784070400 6940884480 7230088000 8676105600 10845132000 11568140800 13881768960 14460176000 17352211200 21690264000 23136281600 28920352000 34704422400 36993893491 43380528000 57840704000 69408844800 73987786982 86761056000 110981680473 115681408000 147975573964 173522112000 184969467455 221963360946 295951147928 347044224000 369938934910 443926721892 554908402365 591902295856 739877869820 887853443784 924847337275 1109816804730 1183804591712 1479755739640 1775706887568 1849694674550 2219633609460 2367609183424 2774542011825 2959511479280 3551413775136 3699389349100 4439267218920 4624236686375 4735218366848 5549084023650 5919022958560 7102827550272 7398778698200 8878534437840 9248473372750 9470436733696 11098168047300 11838045917120 13872710059125 14205655100544 14797557396400 17757068875680 18496946745500 18940873467392 22196336094600 23676091834240 27745420118250 28411310201088 29595114792800 35514137751360 36993893491000 37881746934784 44392672189200 47352183668480 55490840236500 56822620402176 59190229585600 71028275502720 73987786982000 88785344378400 94704367336960 110981680473000 113645240804352 118380459171200 142056551005440 147975573964000 177570688756800 189408734673920 221963360946000 236760918342400 284113102010880 295951147928000 355141377513600 443926721892000 473521836684800 568226204021760 591902295856000 710282755027200 887853443784000 947043673369600 1183804591712000 1420565510054400 1775706887568000 2367609183424000 2841131020108800 3551413775136000 4735218366848000 7102827550272000 14205655100544000 33433638175319651 66867276350639302 100300914525958953 133734552701278604 167168190876598255 200601829051917906 267469105402557208 334336381753196510 401203658103835812 501504572629794765 534938210805114416 668672763506393020 802407316207671624 835840954382991275 1003009145259589530 1069876421610228832 1337345527012786040 1604814632415343248 1671681908765982550 2006018290519179060 2139752843220457664 2507522863148973825 2674691054025572080 3209629264830686496 3343363817531965100 4012036581038358120 4179204771914956375 4279505686440915328 5015045726297947650 5349382108051144160 6419258529661372992 6686727635063930200 8024073162076716240 8358409543829912750 8559011372881830656 10030091452595895300 10698764216102288320 12537614315744869125 12838517059322745984 13373455270127860400 16048146324153432480 16716819087659825500 17118022745763661312 20060182905191790600 21397528432204576640 25075228631489738250 25677034118645491968 26746910540255720800 32096292648306864960 33433638175319651000 34236045491527322624 40120365810383581200 42795056864409153280 50150457262979476500 51354068237290983936 53493821080511441600 64192585296613729920 66867276350639302000 80240731620767162400 85590113728818306560 100300914525958953000 102708136474581967872 106987642161022883200 128385170593227459840 133734552701278604000 160481463241534324800 171180227457636613120 200601829051917906000 213975284322045766400 256770341186454919680 267469105402557208000 320962926483068649600 401203658103835812000 427950568644091532800 513540682372909839360 534938210805114416000 641925852966137299200 802407316207671624000 855901137288183065600 1069876421610228832000 1283851705932274598400 1604814632415343248000 2139752843220457664000 2567703411864549196800 3209629264830686496000 4279505686440915328000 6419258529661372992000 12838517059322745984000
- Sum of all divisors σ(n): 42705769437695084752512
- Sum of proper divisors (its aliquot sum) s(n): 29867252378372338768512
- 12838517059322745984000 is an abundant number, because the sum of its proper divisors (29867252378372338768512) is greater than itself. Its abundance is 17028735319049592784512
Bases of 12838517059322745984000
- Binary: 101011011111111010001101110010110000010011010011001110110000010100000000002
- Hexadecimal: 0x2B7FA372C134CEC1400
- Base-36: 239H17RKD7YPUDC
Squares and roots of 12838517059322745984000
- 12838517059322745984000 squared (128385170593227459840002) is 164827520282521169123719647082188128256000000
- 12838517059322745984000 cubed (128385170593227459840003) is 2116140930993013949547361023327797174899609455431100923904000000000
-
The
square root of 12838517059322745984000 is 113307180087.2422470331 -
The
cube root of 12838517059322745984000 is 23415581.8609670147
Scales and comparisons
How big is 12838517059322745984000?- 12,838,517,059,322,745,984,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,838,517,059,322,745,984,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12838517059322745984000 cubic inches would be around 1951298.5 feet tall.
Recreational maths with 12838517059322745984000
- 12838517059322745984000 backwards is 00048954722395071583821
- The number of decimal digits it has is: 23
- The sum of 12838517059322745984000's digits is 93
- More coming soon!
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The information we have on file for 12838517059322745984000 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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