12738385382400
12,738,385,382,400 is an even composite number composed of seven prime numbers multiplied together.
12738385382400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 12738385382400:
210 × 33 × 52 × 17 × 41 × 137 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 41 × 137 × 193)See below for interesting mathematical facts about the number 12738385382400 from the Numbermatics database.
Names of 12738385382400
- Cardinal: 12738385382400 can be written as Twelve trillion, seven hundred thirty-eight billion, three hundred eighty-five million, three hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.27383853824 × 1013
Factors of 12738385382400
Divisors of 12738385382400
- Number of divisors d(n): 2112
-
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 41 45 48 50 51 54 60 64 68 72 75 80 82 85 90 96 100 102 108 120 123 128 135 136 137 144 150 153 160 164 170 180 192 193 200 204 205 216 225 240 246 255 256 270 272 274 288 300 306 320 328 340 360 369 384 386 400 408 410 411 425 432 450 459 480 492 510 512 540 544 548 576 579 600 612 615 640 656 675 680 685 697 720 738 765 768 772 800 816 820 822 850 864 900 918 960 965 984 1020 1024 1025 1080 1088 1096 1107 1152 1158 1200 1224 1230 1233 1275 1280 1312 1350 1360 1370 1394 1440 1476 1530 1536 1544 1600 1632 1640 1644 1700 1728 1737 1800 1836 1845 1920 1930 1968 2040 2050 2055 2091 2160 2176 2192 2214 2295 2304 2316 2329 2400 2448 2460 2466 2550 2560 2624 2700 2720 2740 2788 2880 2895 2952 3060 3072 3075 3088 3200 3264 3280 3281 3288 3400 3425 3456 3474 3485 3600 3672 3690 3699 3825 3840 3860 3936 4080 4100 4110 4182 4320 4352 4384 4428 4590 4608 4632 4658 4800 4825 4896 4920 4932 5100 5120 5211 5248 5400 5440 5480 5535 5576 5617 5760 5790 5904 6120 6150 6165 6176 6273 6400 6528 6560 6562 6576 6800 6850 6912 6948 6970 6987 7200 7344 7380 7398 7650 7680 7720 7872 7913 8160 8200 8220 8364 8640 8685 8704 8768 8856 9180 9216 9225 9264 9316 9600 9650 9792 9840 9843 9864 10200 10275 10422 10455 10496 10800 10880 10960 11070 11152 11234 11475 11520 11580 11645 11808 12240 12300 12330 12352 12546 12800 13056 13120 13124 13152 13600 13700 13824 13896 13940 13974 14400 14475 14688 14760 14796 15300 15360 15440 15744 15826 16320 16400 16405 16440 16728 16851 17280 17370 17408 17425 17536 17712 18360 18450 18495 18528 18632 18819 19200 19300 19584 19680 19686 19728 20400 20550 20844 20910 20961 20992 21600 21760 21920 22140 22304 22468 22950 23040 23160 23290 23616 23739 24480 24600 24660 24704 25092 25600 26055 26112 26240 26248 26304 26441 27200 27400 27648 27675 27792 27880 27948 28085 28800 28950 29376 29520 29529 29592 30600 30825 30880 31365 31488 31652 32640 32800 32810 32880 33456 33702 34560 34740 34850 34935 35072 35424 36720 36900 36990 37056 37264 37638 38400 38600 39168 39360 39372 39456 39565 40800 41100 41688 41820 41922 41984 43200 43425 43520 43840 44280 44608 44936 45900 46080 46320 46580 47232 47478 48960 49200 49215 49320 49408 50184 50553 52110 52224 52275 52480 52496 52608 52882 54400 54800 55350 55584 55760 55896 56170 57600 57900 58225 58752 59040 59058 59184 61200 61650 61760 62730 62883 62976 63304 65280 65600 65620 65760 66912 67404 69120 69480 69700 69870 70144 70848 71217 73440 73800 73980 74112 74528 75276 76800 77200 78336 78720 78744 78912 79130 79323 81600 82025 82200 83376 83640 83844 84255 86400 86850 87040 87680 88560 88587 89216 89872 91800 92475 92640 93160 94095 94464 94956 95489 97920 98400 98430 98640 98816 100368 101106 104220 104550 104805 104960 104992 105216 105764 108800 109600 110700 111168 111520 111792 112340 115200 115800 116450 117504 118080 118116 118368 118695 122400 123300 123520 125460 125766 125952 126608 130275 130560 131200 131240 131520 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607718400 609200640 611129600 619872768 624430656 645700800 647078400 647275680 650448600 660019968 663457572 676889600 683683200 687520800 688747520 690427392 693811840 719195200 726413400 731040768 731754675 733355520 737175080 755942400 761500800 774840960 776494080 776730816 780538320 804902400 809094600 825024960 829321965 832574208 860934400 863034240 867264800 880026624 884610096 911577600 913800960 916694400 921468850 929809152 936645984 968551200 970617600 970913520 975672900 995186358 1015334400 1031281200 1033121280 1035641088 1040717760 1078792800 1093893120 1100033280 1105762620 1110098944 1133913600 1142251200 1150712320 1162261440 1170807480 1179480128 1213641900 1218401280 1222259200 1239745536 1248861312 1291401600 1294156800 1294551360 1300897200 1320039936 1326915144 1367366400 1375041600 1380854784 1382203275 1387623680 1438390400 1452826800 1463509350 1466711040 1474350160 1523001600 1549681920 1553461632 1561076640 1609804800 1618189200 1650049920 1658643930 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5753561600 5811307200 5854037400 5897400640 6092006400 6198727680 6213846528 6244306560 6472756800 6600199680 6634575720 6904273920 6938118400 7076880768 7333555200 7371750800 7493167872 7748409600 7767308160 7805383200 7961490864 8250249600 8293219650 8325742080 8630342400 8846100960 9138009600 9298091520 9366459840 9435841024 9709135200 9951863580 9990890496 10331212800 10356410880 10407177600 10615321152 11000332800 11057626200 11507123200 11622614400 11708074800 11794801280 12427693056 12439829475 12488613120 12945513600 13200399360 13269151440 13876236800 14153761536 14743501600 14986335744 15496819200 15534616320 15610766400 15922981728 16500499200 16586439300 16651484160 17260684800 17692201920 18276019200 18596183040 18732919680 18871682048 19418270400 19903727160 20712821760 20814355200 21230642304 22000665600 22115252400 23245228800 23416149600 23589602560 24879658950 24977226240 25891027200 26538302880 27752473600 28307523072 29487003200 29972671488 30993638400 31069232640 31221532800 31845963456 33000998400 33172878600 34521369600 35384403840 37465839360 38836540800 39807454320 41628710400 42461284608 44230504800 46490457600 46832299200 47179205120 49759317900 49954452480 51782054400 53076605760 56615046144 58974006400 62138465280 62443065600 63691926912 66001996800 66345757200 70768807680 74931678720 77673081600 79614908640 83257420800 84922569216 88461009600 92980915200 93664598400 94358410240 99518635800 103564108800 106153211520 117948012800 124886131200 127383853824 132691514400 141537615360 149863357440 155346163200 159229817280 169845138432 176922019200 187329196800 199037271600 212306423040 235896025600 249772262400 254767707648 265383028800 283075230720 310692326400 318459634560 353844038400 374658393600 398074543200 424612846080 471792051200 509535415296 530766057600 636919269120 707688076800 749316787200 796149086400 849225692160 1061532115200 1273838538240 1415376153600 1592298172800 2123064230400 2547677076480 3184596345600 4246128460800 6369192691200 12738385382400
- Sum of all divisors σ(n): 51373853112960
- Sum of proper divisors (its aliquot sum) s(n): 38635467730560
- 12738385382400 is an abundant number, because the sum of its proper divisors (38635467730560) is greater than itself. Its abundance is 25897082348160
Bases of 12738385382400
- Binary: 101110010101111000101110111110001100000000002
- Hexadecimal: 0xB95E2EF8C00
- Base-36: 4IJXLREO0
Squares and roots of 12738385382400
- 12738385382400 squared (127383853824002) is 162266462150541994229760000
- 12738385382400 cubed (127383853824003) is 2067012729512227007533719931060224000000
-
The
square root of 12738385382400 is 3569087.4719457353 -
The
cube root of 12738385382400 is 23354.5477204557
Scales and comparisons
How big is 12738385382400?- 12,738,385,382,400 seconds is equal to 405,041 years, 13 weeks, 1 day.
-
To count from 1 to 12,738,385,382,400 would take you about one million, twelve thousand, six hundred three 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 12738385382400 cubic inches would be around 1946.2 feet tall.
Recreational maths with 12738385382400
- 12738385382400 backwards is 00428358383721
- 12738385382400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12738385382400's digits is 54
- More coming soon!
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"Number 12738385382400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 June 2024.
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Numbermatics. (2024). Number 12738385382400 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/12738385382400/
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The information we have on file for 12738385382400 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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