12144223728000
12,144,223,728,000 is an even composite number composed of six prime numbers multiplied together.
12144223728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 12144223728000:
27 × 34 × 53 × 7 × 132 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 89 × 89)See below for interesting mathematical facts about the number 12144223728000 from the Numbermatics database.
Names of 12144223728000
- Cardinal: 12144223728000 can be written as Twelve trillion, one hundred forty-four billion, two hundred twenty-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2144223728 × 1013
Factors of 12144223728000
Divisors of 12144223728000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 89 90 91 96 100 104 105 108 112 117 120 125 126 128 130 135 140 144 150 156 160 162 168 169 175 178 180 182 189 192 195 200 208 210 216 224 225 234 240 250 252 260 267 270 273 280 288 300 312 315 320 324 325 336 338 350 351 356 360 364 375 378 384 390 400 405 416 420 432 445 448 450 455 468 480 500 504 507 520 525 534 540 546 560 567 576 585 600 623 624 630 640 648 650 672 675 676 700 702 712 720 728 750 756 780 800 801 810 819 832 840 845 864 875 890 896 900 910 936 945 960 975 1000 1008 1014 1040 1050 1053 1068 1080 1092 1120 1125 1134 1152 1157 1170 1183 1200 1246 1248 1260 1296 1300 1335 1344 1350 1352 1365 1400 1404 1424 1440 1456 1500 1512 1521 1560 1575 1600 1602 1620 1625 1638 1664 1680 1690 1728 1750 1755 1780 1800 1820 1869 1872 1890 1920 1950 2000 2016 2025 2028 2080 2100 2106 2136 2160 2184 2225 2240 2250 2268 2275 2314 2340 2366 2400 2403 2457 2492 2496 2520 2535 2592 2600 2625 2670 2688 2700 2704 2730 2800 2808 2835 2848 2880 2912 2925 3000 3024 3042 3115 3120 3150 3200 3204 3240 3250 3276 3360 3375 3380 3456 3471 3500 3510 3549 3560 3600 3640 3738 3744 3780 3900 4000 4005 4032 4050 4056 4095 4160 4200 4212 4225 4272 4320 4368 4450 4480 4500 4536 4550 4563 4628 4680 4725 4732 4800 4806 4875 4914 4984 4992 5040 5070 5184 5200 5250 5265 5340 5400 5408 5460 5600 5607 5616 5670 5696 5760 5785 5824 5850 5915 6000 6048 6084 6230 6240 6300 6408 6480 6500 6552 6675 6720 6750 6760 6825 6942 7000 7020 7098 7120 7200 7209 7280 7371 7476 7488 7560 7605 7800 7875 7921 8000 8010 8064 8099 8100 8112 8190 8320 8400 8424 8450 8544 8640 8736 8775 8900 9000 9072 9100 9126 9256 9345 9360 9450 9464 9600 9612 9750 9828 9968 10080 10125 10140 10368 10400 10413 10500 10530 10647 10680 10800 10816 10920 11125 11200 11214 11232 11340 11375 11392 11570 11648 11700 11830 12000 12015 12096 12168 12285 12460 12480 12600 12675 12816 12960 13000 13104 13350 13440 13500 13520 13650 13689 13884 14000 14040 14175 14196 14240 14400 14418 14560 14625 14742 14952 14976 15041 15120 15210 15575 15600 15750 15842 16000 16020 16198 16200 16224 16380 16800 16821 16848 16900 17088 17280 17355 17472 17550 17745 17800 18000 18144 18200 18252 18512 18690 18720 18900 18928 19224 19500 19656 19936 20025 20160 20250 20280 20475 20800 20826 21000 21060 21125 21294 21360 21600 21632 21840 22250 22400 22428 22464 22680 22750 22815 23140 23400 23625 23660 23763 24000 24030 24192 24297 24336 24570 24920 24960 25200 25350 25632 25920 26000 26208 26325 26700 27000 27040 27300 27378 27768 28000 28035 28080 28350 28392 28480 28800 28836 28925 29120 29250 29484 29575 29904 30082 30240 30420 31150 31200 31239 31500 31684 31941 32040 32396 32400 32448 32760 33375 33600 33642 33696 33800 34125 34176 34710 34944 35100 35490 35600 36000 36045 36288 36400 36504 36855 37024 37380 37440 37800 37856 38025 38448 39000 39312 39605 39872 40050 40320 40495 40500 40560 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4048074576 4151871360 4170406500 4216744350 4264123500 4283676800 4324866000 4337222760 4448433600 4491207000 4497860640 4517940375 4548398400 4626370944 4670855280 4685271500 4790620800 4819136400 4865474250 4873284000 4942704000 5053776000 5060093220 5132808000 5189839200 5248152000 5338120320 5354596000 5397432768 5421528450 5458078080 5560542000 5622325800 5685498000 5766488000 5782963680 5838569100 5988276000 5997147520 6023920500 6072111864 6227807040 6325116525 6425515200 6487299000 6497712000 6672650400 6746790960 6822597600 6919785600 6939556416 7027907250 7185931200 7228704600 7298211375 7414056000 7473368448 7496434400 7580664000 7590139830 7710618240 7784758800 7984368000 8031894000 8096149152 8340813000 8433488700 8528247000 8649732000 8674445520 8896867200 8982414000 8995721280 9035880750 9096796800 9341710560 9370543000 9638272800 9730948500 9746568000 10120186440 10265616000 10379678400 10496304000 10541860875 10709192000 10794865536 10843056900 11121084000 11244651600 11370996000 11532976000 11565927360 11677138200 11976552000 12047841000 12144223728 12455614080 12650233050 12851030400 12974598000 13345300800 13493581920 13553821125 13645195200 13879112832 14055814500 14371862400 14457409200 14596422750 14828112000 14992868800 15161328000 15180279660 15569517600 16063788000 16192298304 16681626000 16866977400 17056494000 17299464000 17348891040 17964828000 17991442560 18071761500 18683421120 18741086000 18975349575 19276545600 19461897000 19493136000 20240372880 20759356800 21083721750 21418384000 21686113800 22242168000 22489303200 22741992000 23131854720 23354276400 23953104000 24095682000 24288447456 25300466100 25949196000 26690601600 26987163840 27107642250 27290390400 28111629000 28914818400 29192845500 29985737600 30360559320 31139035200 31625582625 32127576000 32384596608 33363252000 33733954800 34112988000 34598928000 34697782080 35929656000 36143523000 37366842240 37482172000 37950699150 38553091200 38923794000 40480745760 42167443500 43372227600 44484336000 44978606400 45483984000 46708552800 48191364000 48576894912 50600932200 51898392000 53974327680 54215284500 56223258000 57829636800 58385691000 60721118640 62278070400 63251165250 64255152000 66726504000 67467909600 68225976000 69395564160 71859312000 72287046000 74964344000 75901398300 77847588000 80961491520 84334887000 86744455200 89957212800 93417105600 94876747875 96382728000 97153789824 101201864400 103796784000 108430569000 112446516000 115659273600 116771382000 121442237280 126502330500 133453008000 134935819200 136451952000 144574092000 149928688000 151802796600 155695176000 161922983040 168669774000 173488910400 186834211200 189753495750 192765456000 202403728800 216861138000 224893032000 233542764000 242884474560 253004661000 269871638400 289148184000 303605593200 311390352000 337339548000 346977820800 379506991500 404807457600 433722276000 449786064000 467085528000 485768949120 506009322000 578296368000 607211186400 674679096000 759013983000 809614915200 867444552000 934171056000 1012018644000 1214422372800 1349358192000 1518027966000 1734889104000 2024037288000 2428844745600 3036055932000 4048074576000 6072111864000 12144223728000
- Sum of all divisors σ(n): 56451821231520
- Sum of proper divisors (its aliquot sum) s(n): 44307597503520
- 12144223728000 is an abundant number, because the sum of its proper divisors (44307597503520) is greater than itself. Its abundance is 32163373775520
Bases of 12144223728000
- Binary: 101100001011100011000010010000110001100000002
- Hexadecimal: 0xB0B8C243180
- Base-36: 4AYZ99400
Squares and roots of 12144223728000
- 12144223728000 squared (121442237280002) is 147482169955718217984000000
- 12144223728000 cubed (121442237280003) is 1791056467833161892123169124352000000000
-
The
square root of 12144223728000 is 3484856.3425197315 -
The
cube root of 12144223728000 is 22985.6392571059
Scales and comparisons
How big is 12144223728000?- 12,144,223,728,000 seconds is equal to 386,148 years, 39 weeks.
-
To count from 1 to 12,144,223,728,000 would take you about nine hundred sixty-five thousand, three hundred seventy-one 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 12144223728000 cubic inches would be around 1915.5 feet tall.
Recreational maths with 12144223728000
- 12144223728000 backwards is 00082732244121
- 12144223728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12144223728000's digits is 36
- More coming soon!
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"Number 12144223728000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 12144223728000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/12144223728000/
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The information we have on file for 12144223728000 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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