10839438144000
10,839,438,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 10839438144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 800 divisors.
10839438144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 10839438144000:
29 × 34 × 53 × 1201 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 1201 × 1741)See below for interesting mathematical facts about the number 10839438144000 from the Numbermatics database.
Names of 10839438144000
- Cardinal: 10839438144000 can be written as Ten trillion, eight hundred thirty-nine billion, four hundred thirty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.0839438144 × 1013
Factors of 10839438144000
Divisors of 10839438144000
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 500 512 540 576 600 640 648 675 720 750 768 800 810 864 900 960 1000 1080 1125 1152 1200 1201 1280 1296 1350 1440 1500 1536 1600 1620 1728 1741 1800 1920 2000 2025 2160 2250 2304 2400 2402 2560 2592 2700 2880 3000 3200 3240 3375 3456 3482 3600 3603 3840 4000 4050 4320 4500 4608 4800 4804 5184 5223 5400 5760 6000 6005 6400 6480 6750 6912 6964 7200 7206 7680 8000 8100 8640 8705 9000 9600 9608 10125 10368 10446 10800 10809 11520 12000 12010 12800 12960 13500 13824 13928 14400 14412 15669 16000 16200 17280 17410 18000 18015 19200 19216 20250 20736 20892 21600 21618 23040 24000 24020 25920 26115 27000 27856 28800 28824 30025 31338 32000 32400 32427 34560 34820 36000 36030 38400 38432 40500 41472 41784 43200 43236 43525 47007 48000 48040 51840 52230 54000 54045 55712 57600 57648 60050 62676 64000 64800 64854 69120 69640 72000 72060 76864 78345 81000 83568 86400 86472 87050 90075 94014 96000 96080 97281 103680 104460 108000 108090 111424 115200 115296 120100 125352 129600 129708 130575 139280 141021 144000 144120 150125 153728 156690 162000 162135 167136 172800 172944 174100 180150 188028 192000 192160 194562 207360 208920 216000 216180 217625 222848 230592 235035 240200 250704 259200 259416 261150 270225 278560 282042 288000 288240 300250 307456 313380 324000 324270 334272 345600 345888 348200 360300 376056 384320 389124 391725 417840 432000 432360 435250 445696 450375 461184 470070 480400 486405 501408 518400 518832 522300 540450 557120 564084 576000 576480 600500 614912 626760 648000 648540 652875 668544 691776 696400 705105 720600 752112 768640 778248 783450 810675 835680 864000 864720 870500 891392 900750 922368 940140 960800 972810 1002816 1036800 1037664 1044600 1080900 1114240 1128168 1152960 1175175 1201000 1253520 1296000 1297080 1305750 1337088 1351125 1383552 1392800 1410210 1441200 1504224 1537280 1556496 1566900 1621350 1671360 1728000 1729440 1741000 1801500 1844736 1880280 1921600 1945620 1958625 2005632 2075328 2089200 2090941 2161800 2228480 2256336 2305920 2350350 2402000 2432025 2507040 2592000 2594160 2611500 2674176 2702250 2767104 2785600 2820420 2882400 3008448 3074560 3112992 3133800 3242700 3342720 3458880 3482000 3525525 3603000 3760560 3843200 3891240 3917250 4011264 4053375 4150656 4178400 4181882 4323600 4456960 4512672 4611840 4700700 4804000 4864050 5014080 5184000 5188320 5223000 5404500 5534208 5571200 5640840 5764800 5875875 6016896 6225984 6267600 6272823 6485400 6685440 6917760 6964000 7051050 7206000 7521120 7686400 7782480 7834500 8022528 8106750 8301312 8356800 8363764 8647200 9025344 9223680 9401400 9608000 9728100 10028160 10376640 10446000 10454705 10809000 11142400 11281680 11529600 11751750 12033792 12160125 12451968 12535200 12545646 12970800 13370880 13835520 13928000 14102100 14412000 15042240 15372800 15564960 15669000 16213500 16602624 16713600 16727528 17294400 17627625 18050688 18802800 18818469 19216000 19456200 20056320 20753280 20892000 20909410 21618000 22284800 22563360 23059200 23503500 24067584 24320250 24903936 25070400 25091292 25941600 27671040 27856000 28204200 28824000 30084480 31129920 31338000 31364115 32427000 33427200 33455056 34588800 35255250 36101376 37605600 37636938 38432000 38912400 40112640 41506560 41784000 41818820 43236000 45126720 46118400 47007000 48640500 49807872 50140800 50182584 51883200 52273525 55712000 56408400 56455407 57648000 60168960 62259840 62676000 62728230 64854000 66854400 66910112 69177600 70510500 72202752 75211200 75273876 76864000 77824800 83013120 83568000 83637640 86472000 90253440 94014000 94092345 97281000 100281600 100365168 103766400 104547050 111424000 112816800 112910814 115296000 120337920 124519680 125352000 125456460 129708000 133820224 138355200 141021000 150422400 150547752 155649600 156820575 167136000 167275280 169366221 172944000 180506880 188028000 188184690 194562000 200563200 200730336 207532800 209094100 225633600 225821628 230592000 249039360 250704000 250912920 259416000 261367625 267640448 282042000 282277035 300844800 301095504 311299200 313641150 334272000 334550560 338732442 345888000 361013760 376056000 376369380 389124000 401460672 415065600 418188200 451267200 451643256 470461725 501408000 501825840 518832000 522735250 535280896 564084000 564554070 601689600 602191008 622598400 627282300 669101120 677464884 691776000 752112000 752738760 778248000 784102875 802921344 836376400 846831105 902534400 903286512 940923450 1002816000 1003651680 1037664000 1045470500 1070561792 1128168000 1129108140 1204382016 1245196800 1254564600 1338202240 1354929768 1411385175 1504224000 1505477520 1556496000 1568205750 1605842688 1672752800 1693662210 1805068800 1806573024 1881846900 2007303360 2075328000 2090941000 2256336000 2258216280 2352308625 2408764032 2509129200 2676404480 2709859536 2822770350 3008448000 3010955040 3112992000 3136411500 3211685376 3345505600 3387324420 3613146048 3763693800 4014606720 4181882000 4234155525 4512672000 4516432560 4704617250 4817528064 5018258400 5352808960 5419719072 5645540700 6021910080 6225984000 6272823000 6691011200 6774648840 7056925875 7226292096 7527387600 8029213440 8363764000 8468311050 9025344000 9032865120 9409234500 9635056128 10036516800 10839438144 11291081400 12043820160 12545646000 13382022400 13549297680 14113851750 14452584192 15054775200 16058426880 16727528000 16936622100 18065730240 18818469000 20073033600 21170777625 21678876288 22582162800 24087640320 25091292000 26764044800 27098595360 28227703500 28905168384 30109550400 33455056000 33873244200 36131460480 37636938000 40146067200 42341555250 43357752576 45164325600 48175280640 50182584000 54197190720 56455407000 60219100800 66910112000 67746488400 72262920960 75273876000 80292134400 84683110500 86715505152 90328651200 100365168000 108394381440 112910814000 120438201600 133820224000 135492976800 144525841920 150547752000 169366221000 180657302400 200730336000 216788762880 225821628000 240876403200 270985953600 301095504000 338732442000 361314604800 401460672000 433577525760 451643256000 541971907200 602191008000 677464884000 722629209600 903286512000 1083943814400 1204382016000 1354929768000 1806573024000 2167887628800 2709859536000 3613146048000 5419719072000 10839438144000
- Sum of all divisors σ(n): 40433209934832
- Sum of proper divisors (its aliquot sum) s(n): 29593771790832
- 10839438144000 is an abundant number, because the sum of its proper divisors (29593771790832) is greater than itself. Its abundance is 18754333646832
Bases of 10839438144000
- Binary: 100111011011110000001101110000110010000000002
- Hexadecimal: 0x9DBC0DC3200
- Base-36: 3UBKHLS00
Squares and roots of 10839438144000
- 10839438144000 squared (108394381440002) is 117493419277602164736000000
- 10839438144000 cubed (108394381440003) is 1273562650586625829296370089984000000000
-
The
square root of 10839438144000 is 3292330.1997217715 -
The
cube root of 10839438144000 is 22131.0621159409
Scales and comparisons
How big is 10839438144000?- 10,839,438,144,000 seconds is equal to 344,660 years, 31 weeks, 3 days.
-
To count from 1 to 10,839,438,144,000 would take you about eight hundred sixty-one thousand, six hundred fifty-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 10839438144000 cubic inches would be around 1844.3 feet tall.
Recreational maths with 10839438144000
- 10839438144000 backwards is 00044183493801
- 10839438144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10839438144000's digits is 45
- More coming soon!
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