12746386742004000
12,746,386,742,004,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12746386742004000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
12746386742004000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 12746386742004000:
25 × 36 × 53 × 172 × 229 × 2572
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 229 × 257 × 257)See below for interesting mathematical facts about the number 12746386742004000 from the Numbermatics database.
Names of 12746386742004000
- Cardinal: 12746386742004000 can be written as Twelve quadrillion, seven hundred forty-six trillion, three hundred eighty-six billion, seven hundred forty-two million, four thousand.
Scientific notation
- Scientific notation: 1.2746386742004 × 1016
Factors of 12746386742004000
Divisors of 12746386742004000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 96 100 102 108 120 125 135 136 144 150 153 160 162 170 180 200 204 216 225 229 240 243 250 255 257 270 272 288 289 300 306 324 340 360 375 400 405 408 425 432 450 458 459 480 486 500 510 514 540 544 578 600 612 648 675 680 687 720 729 750 765 771 800 810 816 850 864 867 900 916 918 972 1000 1020 1028 1080 1125 1145 1156 1200 1215 1224 1275 1285 1296 1350 1360 1374 1377 1440 1445 1458 1500 1530 1542 1620 1632 1700 1734 1800 1832 1836 1944 2000 2025 2040 2056 2061 2125 2160 2250 2290 2295 2312 2313 2400 2430 2448 2550 2570 2592 2601 2700 2720 2748 2754 2890 2916 3000 3060 3084 3240 3375 3400 3435 3468 3600 3645 3664 3672 3825 3855 3888 3893 4000 4050 4080 4112 4122 4131 4250 4320 4335 4369 4500 4580 4590 4624 4626 4860 4896 5100 5140 5202 5400 5496 5508 5725 5780 5832 6000 6075 6120 6168 6183 6375 6425 6480 6750 6800 6870 6885 6936 6939 7200 7225 7290 7328 7344 7650 7710 7776 7786 7803 8100 8160 8224 8244 8262 8500 8670 8738 9000 9160 9180 9248 9252 9720 10125 10200 10280 10305 10404 10800 10992 11016 11450 11475 11560 11565 11664 11679 12000 12150 12240 12336 12366 12393 12750 12850 12960 13005 13107 13500 13600 13740 13770 13872 13878 14450 14580 14688 15300 15420 15572 15606 16200 16488 16524 17000 17175 17340 17476 18000 18225 18320 18360 18504 18549 19125 19275 19440 19465 20250 20400 20560 20610 20655 20808 20817 21600 21675 21845 21984 22032 22900 22950 23120 23130 23328 23358 23409 24300 24480 24672 24732 24786 25500 25700 26010 26214 27000 27480 27540 27744 27756 28625 28900 29160 30375 30600 30840 30915 31144 31212 32125 32400 32976 33048 34000 34350 34425 34680 34695 34952 35037 36000 36125 36450 36640 36720 37008 37098 38250 38550 38880 38930 39015 39321 40500 40800 41120 41220 41310 41616 41634 43350 43690 44064 45800 45900 46240 46260 46716 46818 48600 49464 49572 51000 51400 51525 52020 52428 54000 54960 55080 55512 55647 57250 57375 57800 57825 58320 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374893727706 385693135500 386535260250 393406998210 396774684576 408380967000 409272628500 412304277600 413306963100 416548586340 419634131424 437118886900 441051444360 445288619808 459229959000 459428587875 462831762600 463842312300 472088397852 486243486000 490057160400 495968355720 499858303608 514257514000 515380347000 516633703875 520685732925 524542664280 544507956000 545696838000 546398608625 551075950800 551314305450 555398115120 556610774760 578539703250 579802890375 583492183200 588068592480 590110497315 612306612000 612571450500 617109016800 618456416400 619960444650 624822879510 629451197136 654836205600 655678330350 661291140960 666477738144 687173796000 688844938500 694247643900 695763468450 699390219040 708132596778 729365229000 735085740600 742147699680 749787455412 771386271000 773070520500 786813996420 816761934000 818545257000 826613926200 833097172680 867809554875 874237773800 882102888720 918459918000 918857175750 925663525200 927684624600 937234319265 944176795704 972486972000 980114320800 983517495525 991936711440 999716607216 1028515028000 1030760694000 1033267407750 1041371465850 1049085328560 1062198895167 1091393676000 1092797217250 1102151901600 1102628610900 1110796230240 1113221549520 1157079406500 1159605780750 1180220994630 1225142901000 1236912832800 1239920889300 1249645759020 1258902394272 1311356660700 1377689877000 1378285763625 1388495287800 1391526936900 1416265193556 1458730458000 1470171481200 1499574910824 1542772542000 1546141041000 1549901111625 1562057198775 1573627992840 1633523868000 1637090514000 1639195825875 1653227852400 1666194345360 1735619109750 1739408671125 1748475547600 1764205777440 1770331491945 1836919836000 1837714351500 1851327050400 1855369249200 1874468638530 1888353591408 1967034991050 1983873422880 1999433214432 2061521388000 2066534815500 2082742931700 2098170657120 2124397790334 2185594434500 2205257221800 2226443099040 2314158813000 2319211561500 2360441989260 2450285802000 2479841778600 2499291518040 2603428664625 2622713321400 2755379754000 2756571527250 2776990575600 2783053873800 2832530387112 2917460916000 2940342962400 2950552486575 2999149821648 3085545084000 3092282082000 3099802223250 3124114397550 3147255985680 3186596685501 3274181028000 3278391651750 3306455704800 3332388690720 3471238219500 3478817342250 3496951095200 3540662983890 3675428703000 3710738498400 3748937277060 3776707182816 3934069982100 4133069631000 4165485863400 4248795580668 4371188869000 4410514443600 4628317626000 4638423123000 4686171596325 4720883978520 4900571604000 4917587477625 4959683557200 4998583036080 5206857329250 5245426642800 5310994475835 5510759508000 5513143054500 5553981151200 5566107747600 5665060774224 5901104973150 5998299643296 6184564164000 6199604446500 6248228795100 6294511971360 6373193371002 6556783303500 6942476439000 6957634684500 7081325967780 7350857406000 7497874554120 7810285993875 7868139964200 8266139262000 8330971726800 8497591161336 8742377738000 8821028887200 8851657459725 9256635252000 9276846246000 9372343192650 9441767957040 9835174955250 9919367114400 9997166072160 10413714658500 10490853285600 10621988951670 11026286109000 11132215495200 11330121548448 11802209946300 12399208893000 12496457590200 12746386742004 13113566607000 13884952878000 13915269369000 14162651935560 14701714812000 14752762432875 14995749108240 15620571987750 15736279928400 15932983427505 16532278524000 16661943453600 16995182322672 17484755476000 17703314919450 18553692492000 18744686385300 18883535914080 19670349910500 20827429317000 21243977903340 22052572218000 23430857981625 23604419892600 24798417786000 24992915180400 25492773484008 26227133214000 26554972379175 27769905756000 27830538738000 28325303871120 29505524865750 29991498216480 31241143975500 31472559856800 31865966855010 33990364645344 35406629838900 37489372770600 39340699821000 41654858634000 42487955806680 44105144436000 44258287298625 46861715963250 47208839785200 49596835572000 49985830360800 50985546968016 52454266428000 53109944758350 55661077476000 56650607742240 59011049731500 62482287951000 63731933710020 70813259677800 74978745541200 78681399642000 79664917137525 83309717268000 84975911613360 88516574597250 93723431926500 94417679570400 101971093936032 106219889516700 118022099463000 124964575902000 127463867420040 132774861895875 141626519355600 149957491082400 157362799284000 159329834275050 169951823226720 177033149194500 187446863853000 212439779033400 236044198926000 249929151804000 254927734840080 265549723791750 283253038711200 318659668550100 354066298389000 374893727706000 398324585687625 424879558066800 472088397852000 509855469680160 531099447583500 637319337100200 708132596778000 749787455412000 796649171375250 849759116133600 1062198895167000 1274638674200400 1416265193556000 1593298342750500 2124397790334000 2549277348400800 3186596685501000 4248795580668000 6373193371002000 12746386742004000
- Sum of all divisors σ(n): 50293388882089080
- Sum of proper divisors (its aliquot sum) s(n): 37547002140085080
- 12746386742004000 is an abundant number, because the sum of its proper divisors (37547002140085080) is greater than itself. Its abundance is 24800615398081080
Bases of 12746386742004000
- Binary: 1011010100100011000101011011011110110101001001001000002
- Hexadecimal: 0x2D48C56DED4920
- Base-36: 3HI7T8C8I00
Squares and roots of 12746386742004000
- 12746386742004000 squared (127463867420040002) is 162470374976735345657936016000000
- 12746386742004000 cubed (127463867420040003) is 2070910233571877849837009842809331616064000000000
-
The
square root of 12746386742004000 is 112899896.9973135095 -
The
cube root of 12746386742004000 is 233594.3659286577
Scales and comparisons
How big is 12746386742004000?- 12,746,386,742,004,000 seconds is equal to 405,295,671 years, 12 weeks, 18 hours.
-
To count from 1 to 12,746,386,742,004,000 would take you about one billion, two hundred fifteen million, eight hundred eighty-seven thousand and thirteen 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 12746386742004000 cubic inches would be around 19466.2 feet tall.
Recreational maths with 12746386742004000
- 12746386742004000 backwards is 00040024768364721
- 12746386742004000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12746386742004000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 12746386742004000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 12746386742004000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/12746386742004000/
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Numbermatics. 2024. "Number 12746386742004000 - Facts about the integer". https://numbermatics.com/n/12746386742004000/
The information we have on file for 12746386742004000 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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