138343919616000
138,343,919,616,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138343919616000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138343919616000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138343919616000:
215 × 32 × 53 × 7 × 269 × 1993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 269 × 1993)See below for interesting mathematical facts about the number 138343919616000 from the Numbermatics database.
Names of 138343919616000
- Cardinal: 138343919616000 can be written as One hundred thirty-eight trillion, three hundred forty-three billion, nine hundred nineteen million, six hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38343919616 × 1014
Factors of 138343919616000
Divisors of 138343919616000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 269 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 512 525 538 560 576 600 630 640 672 700 720 750 768 800 807 840 875 896 900 960 1000 1008 1024 1050 1076 1120 1125 1152 1200 1260 1280 1344 1345 1400 1440 1500 1536 1575 1600 1614 1680 1750 1792 1800 1883 1920 1993 2000 2016 2048 2100 2152 2240 2250 2304 2400 2421 2520 2560 2625 2688 2690 2800 2880 3000 3072 3150 3200 3228 3360 3500 3584 3600 3766 3840 3986 4000 4032 4035 4096 4200 4304 4480 4500 4608 4800 4842 5040 5120 5250 5376 5380 5600 5649 5760 5979 6000 6144 6300 6400 6456 6720 6725 7000 7168 7200 7532 7680 7875 7972 8000 8064 8070 8192 8400 8608 8960 9000 9216 9415 9600 9684 9965 10080 10240 10500 10752 10760 11200 11298 11520 11958 12000 12105 12288 12600 12800 12912 13440 13450 13951 14000 14336 14400 15064 15360 15750 15944 16000 16128 16140 16384 16800 16947 17216 17920 17937 18000 18432 18830 19200 19368 19930 20160 20175 20480 21000 21504 21520 22400 22596 23040 23916 24000 24210 24576 25200 25600 25824 26880 26900 27902 28000 28245 28672 28800 29895 30128 30720 31500 31888 32000 32256 32280 32768 33600 33625 33894 34432 35840 35874 36000 36864 37660 38400 38736 39860 40320 40350 40960 41853 42000 43008 43040 44800 45192 46080 47075 47832 48000 48420 49152 49825 50400 51200 51648 53760 53800 55804 56000 56490 57344 57600 59790 60256 60525 61440 63000 63776 64000 64512 64560 67200 67250 67788 68864 69755 71680 71748 72000 73728 75320 76800 77472 79720 80640 80700 81920 83706 84000 84735 86016 86080 89600 89685 90384 92160 94150 95664 96000 96840 98304 99650 100800 100875 102400 103296 107520 107600 111608 112000 112980 114688 115200 119580 120512 121050 122880 125559 126000 127552 128000 129024 129120 134400 134500 135576 137728 139510 141225 143360 143496 144000 147456 149475 150640 153600 154944 159440 161280 161400 163840 167412 168000 169470 172032 172160 179200 179370 180768 184320 188300 191328 192000 193680 199300 201600 201750 204800 206592 209265 215040 215200 223216 224000 225960 229376 230400 235375 239160 241024 242100 245760 249125 251118 252000 255104 256000 258048 258240 268800 269000 271152 275456 279020 282450 286720 286992 288000 294912 298950 301280 302625 307200 309888 318880 322560 322800 334824 336000 338940 344064 344320 348775 358400 358740 361536 368640 376600 382656 384000 387360 398600 403200 403500 409600 413184 418530 423675 430080 430400 446432 448000 448425 451920 460800 470750 478320 482048 484200 491520 498250 502236 504000 510208 512000 516096 516480 536117 537600 538000 542304 550912 558040 564900 573440 573984 576000 597900 602560 605250 614400 619776 627795 637760 645120 645600 669648 672000 677880 688128 688640 697550 706125 716800 717480 723072 737280 747375 753200 765312 768000 774720 797200 806400 807000 819200 826368 837060 847350 860160 860800 892864 896000 896850 903840 921600 941500 956640 964096 968400 996500 1004472 1008000 1020416 1024000 1032192 1032960 1046325 1072234 1075200 1076000 1084608 1101824 1116080 1129800 1146880 1147968 1152000 1195800 1205120 1210500 1228800 1239552 1255590 1275520 1290240 1291200 1339296 1344000 1355760 1377280 1395100 1412250 1433600 1434960 1446144 1474560 1494750 1506400 1530624 1536000 1549440 1594400 1608351 1612800 1614000 1652736 1674120 1694700 1720320 1721600 1743875 1785728 1792000 1793700 1807680 1843200 1883000 1913280 1928192 1936800 1993000 2008944 2016000 2040832 2048000 2064384 2065920 2092650 2118375 2144468 2150400 2152000 2169216 2203648 2232160 2242125 2259600 2295936 2304000 2391600 2410240 2421000 2457600 2479104 2511180 2551040 2580480 2582400 2678592 2680585 2688000 2711520 2754560 2790200 2824500 2867200 2869920 2892288 2989500 3012800 3061248 3072000 3098880 3138975 3188800 3216702 3225600 3228000 3305472 3348240 3389400 3440640 3443200 3487750 3571456 3584000 3587400 3615360 3686400 3752819 3766000 3826560 3856384 3873600 3986000 4017888 4032000 4081664 4096000 4131840 4185300 4236750 4288936 4300800 4304000 4338432 4407296 4464320 4484250 4519200 4591872 4608000 4783200 4820480 4825053 4842000 4958208 5022360 5102080 5160960 5164800 5231625 5357184 5361170 5376000 5423040 5509120 5580400 5649000 5734400 5739840 5784576 5979000 6025600 6122496 6144000 6197760 6277950 6377600 6433404 6451200 6456000 6610944 6696480 6778800 6886400 6975500 7142912 7168000 7174800 7230720 7372800 7505638 7532000 7653120 7712768 7747200 7972000 8035776 8041755 8064000 8163328 8263680 8370600 8473500 8577872 8601600 8608000 8676864 8814592 8928640 8968500 9038400 9183744 9216000 9566400 9640960 9650106 9684000 9916416 10044720 10204160 10321920 10329600 10463250 10714368 10722340 10752000 10846080 11018240 11160800 11258457 11298000 11479680 11569152 11958000 12051200 12244992 12288000 12395520 12555900 12755200 12866808 12902400 12912000 13221888 13392960 13402925 13557600 13772800 13951000 14285824 14336000 14349600 14461440 15011276 15064000 15306240 15425536 15494400 15694875 15944000 16071552 16083510 16128000 16326656 16527360 16741200 16947000 17155744 17203200 17216000 17353728 17857280 17937000 18076800 18367488 18432000 18764095 19132800 19281920 19300212 19368000 19832832 20089440 20408320 20659200 20926500 21428736 21444680 21504000 21692160 22036480 22321600 22516914 22596000 22959360 23138304 23916000 24102400 24125265 24489984 24791040 25111800 25510400 25733616 25804800 25824000 26443776 26785920 26805850 27115200 27545600 27902000 28571648 28672000 28699200 28922880 30022552 30128000 30612480 30851072 30988800 31389750 31888000 32143104 32167020 32256000 32653312 33054720 33482400 33775371 33894000 34311488 34432000 34707456 35714560 35874000 36153600 36734976 36864000 37528190 38265600 38563840 38600424 38736000 39665664 40178880 40208775 40816640 41318400 41853000 42857472 42889360 43008000 43384320 44072960 44643200 45033828 45192000 45918720 46276608 47832000 48204800 48250530 48979968 49582080 50223600 51020800 51467232 51609600 51648000 53571840 53611700 54230400 55091200 55804000 56292285 57143296 57398400 57845760 60045104 60256000 61224960 61702144 61977600 62779500 63776000 64286208 64334040 64512000 65306624 66109440 66964800 67014625 67550742 67788000 68622976 68864000 69414912 71429120 71748000 72307200 73469952 75056380 76531200 77127680 77200848 77472000 79331328 80357760 80417550 81633280 82636800 83706000 85714944 85778720 86016000 86768640 89286400 90067656 90384000 91837440 92553216 93820475 95664000 96409600 96501060 97959936 99164160 100447200 102041600 102934464 103296000 107143680 107223400 108460800 110182400 111608000 112584570 114286592 114796800 115691520 120090208 120512000 120626325 122449920 123955200 125559000 127552000 128572416 128668080 129024000 132218880 133929600 134029250 135101484 135576000 137245952 137728000 138829824 142858240 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469102375 480360832 482048000 482505300 489799680 495820800 502236000 510208000 514289664 514672320 535718400 536117000 540405936 542304000 548983808 550912000 555319296 562922850 571432960 573984000 578457600 587759616 600451040 603131625 612249600 617606784 619776000 642862080 643340400 661094400 669648000 675507420 685719552 686229760 694149120 714291200 720541248 723072000 734699520 750563800 765312000 771276800 772008480 803577600 804175500 816332800 823475712 826368000 844384275 857149440 857787200 867686400 892864000 900676560 918374400 925532160 938204750 960721664 964096000 965010600 979599360 991641600 1004472000 1020416000 1028579328 1029344640 1071436800 1072234000 1080811872 1084608000 1097967616 1101824000 1125845700 1142865920 1147968000 1156915200 1200902080 1206263250 1224499200 1235213568 1239552000 1285724160 1286680800 1339296000 1351014840 1371439104 1372459520 1388298240 1407307125 1428582400 1441082496 1446144000 1469399040 1501127600 1530624000 1542553600 1544016960 1607155200 1608351000 1632665600 1646951424 1652736000 1688768550 1714298880 1715574400 1735372800 1785728000 1801353120 1836748800 1876409500 1921443328 1928192000 1930021200 1983283200 2008944000 2040832000 2057158656 2058689280 2142873600 2144468000 2161623744 2169216000 2195935232 2251691400 2285731840 2295936000 2313830400 2401804160 2412526500 2448998400 2470427136 2479104000 2571448320 2573361600 2678592000 2702029680 2744919040 2776596480 2814614250 2857164800 2882164992 2892288000 2938798080 3002255200 3061248000 3088033920 3214310400 3216702000 3293902848 3305472000 3377537100 3428597760 3431148800 3470745600 3571456000 3602706240 3673497600 3752819000 3842886656 3856384000 3860042400 4017888000 4081664000 4114317312 4117378560 4221921375 4285747200 4288936000 4323247488 4338432000 4391870464 4503382800 4591872000 4627660800 4803608320 4825053000 4897996800 4940854272 4958208000 5142896640 5146723200 5357184000 5404059360 5489838080 5629228500 5714329600 5764329984 5784576000 6004510400 6122496000 6176067840 6428620800 6433404000 6587805696 6755074200 6857195520 6862297600 6941491200 7142912000 7205412480 7346995200 7505638000 7685773312 7712768000 7720084800 8035776000 8163328000 8234757120 8443842750 8571494400 8577872000 8646494976 8676864000 8783740928 9006765600 9183744000 9607216640 9650106000 9881708544 9916416000 10285793280 10293446400 10714368000 10808118720 10979676160 11258457000 11428659200 11528659968 11569152000 12009020800 12244992000 12352135680 12857241600 12866808000 13175611392 13510148400 13724595200 13882982400 14285824000 14410824960 14693990400 15011276000 15371546624 15440169600 16071552000 16469514240 16887685500 17142988800 17155744000 17292989952 17353728000 17567481856 18013531200 18367488000 19214433280 19300212000 19763417088 20571586560 20586892800 21428736000 21616237440 21959352320 22516914000 23057319936 23138304000 24018041600 24489984000 24704271360 25714483200 25733616000 26351222784 27020296800 27449190400 28571648000 28821649920 30022552000 30743093248 30880339200 32143104000 32939028480 33775371000 34285977600 34311488000 34585979904 34707456000 36027062400 36734976000 38428866560 38600424000 39526834176 41173785600 42857472000 43232474880 43918704640 45033828000 46114639872 48036083200 49408542720 51428966400 51467232000 52702445568 54040593600 54898380800 57143296000 57643299840 60045104000 61486186496 61760678400 64286208000 65878056960 67550742000 68622976000 69171959808 69414912000 72054124800 73469952000 76857733120 77200848000 79053668352 82347571200 85714944000 86464949760 87837409280 90067656000 92229279744 96072166400 98817085440 102857932800 102934464000 108081187200 109796761600 115286599680 120090208000 122972372992 123521356800 128572416000 131756113920 135101484000 137245952000 138343919616 144108249600 153715466240 154401696000 158107336704 164695142400 171429888000 172929899520 180135312000 184458559488 192144332800 197634170880 205868928000 216162374400 219593523200 230573199360 240180416000 247042713600 257144832000 263512227840 270202968000 274491904000 276687839232 288216499200 307430932480 308803392000 329390284800 345859799040 360270624000 368917118976 384288665600 395268341760 411737856000 432324748800 439187046400 461146398720 480360832000 494085427200 514289664000 540405936000 548983808000 553375678464 576432998400 614861864960 617606784000 658780569600 691719598080 720541248000 768577331200 790536683520 823475712000 864649497600 922292797440 960721664000 988170854400 1080811872000 1097967616000 1106751356928 1152865996800 1235213568000 1317561139200 1383439196160 1441082496000 1537154662400 1646951424000 1729298995200 1844585594880 1921443328000 1976341708800 2161623744000 2195935232000 2305731993600 2470427136000 2766878392320 2882164992000 3074309324800 3293902848000 3458597990400 3842886656000 3952683417600 4323247488000 4611463987200 4940854272000 5533756784640 5764329984000 6587805696000 6917195980800 7685773312000 8646494976000 9222927974400 9881708544000 11528659968000 13834391961600 15371546624000 17292989952000 19763417088000 23057319936000 27668783923200 34585979904000 46114639872000 69171959808000 138343919616000
- Sum of all divisors σ(n): 572427065059200
- Sum of proper divisors (its aliquot sum) s(n): 434083145443200
- 138343919616000 is an abundant number, because the sum of its proper divisors (434083145443200) is greater than itself. Its abundance is 295739225827200
Bases of 138343919616000
- Binary: 111110111010010101101000010111110000000000000002
- Hexadecimal: 0x7DD2B42F8000
- Base-36: 1D1EBHSZK0
Squares and roots of 138343919616000
- 138343919616000 squared (1383439196160002) is 19139040094718269587456000000
- 138343919616000 cubed (1383439196160003) is 2647769824391105313973630345936896000000000
-
The
square root of 138343919616000 is 11761969.2065572081 -
The
cube root of 138343919616000 is 51719.3857984815
Scales and comparisons
How big is 138343919616000?- 138,343,919,616,000 seconds is equal to 4,398,908 years, 37 weeks, 2 days, 8 hours.
-
To count from 1 to 138,343,919,616,000 would take you about ten million, nine hundred ninety-seven thousand, two 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 138343919616000 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138343919616000
- 138343919616000 backwards is 000616919343831
- The number of decimal digits it has is: 15
- The sum of 138343919616000's digits is 54
- More coming soon!
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The information we have on file for 138343919616000 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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