138016778756688000
138,016,778,756,688,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138016778756688000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
138016778756688000 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 138016778756688000:
27 × 34 × 53 × 13 × 292 × 31212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 29 × 3121 × 3121)See below for interesting mathematical facts about the number 138016778756688000 from the Numbermatics database.
Names of 138016778756688000
- Cardinal: 138016778756688000 can be written as One hundred thirty-eight quadrillion, sixteen trillion, seven hundred seventy-eight billion, seven hundred fifty-six million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38016778756688 × 1017
Factors of 138016778756688000
Divisors of 138016778756688000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 125 128 130 135 144 145 150 156 160 162 174 180 192 195 200 208 216 225 232 234 240 250 260 261 270 288 290 300 312 320 324 325 348 351 360 375 377 384 390 400 405 416 432 435 450 464 468 480 500 520 522 540 576 580 585 600 624 640 648 650 675 696 702 720 725 750 754 780 783 800 810 832 841 864 870 900 928 936 960 975 1000 1040 1044 1053 1080 1125 1131 1152 1160 1170 1200 1248 1296 1300 1305 1350 1392 1404 1440 1450 1500 1508 1560 1566 1600 1620 1625 1664 1682 1728 1740 1755 1800 1856 1872 1885 1920 1950 2000 2025 2080 2088 2106 2160 2175 2250 2262 2320 2340 2349 2400 2496 2523 2592 2600 2610 2700 2784 2808 2880 2900 2925 3000 3016 3120 3121 3132 3200 3240 3250 3364 3375 3393 3456 3480 3510 3600 3625 3712 3744 3770 3900 3915 4000 4050 4160 4176 4205 4212 4320 4350 4500 4524 4640 4680 4698 4800 4875 4992 5046 5184 5200 5220 5265 5400 5568 5616 5655 5760 5800 5850 6000 6032 6240 6242 6264 6480 6500 6525 6728 6750 6786 6960 7020 7200 7250 7488 7540 7569 7800 7830 8000 8100 8320 8352 8410 8424 8640 8700 8775 9000 9048 9280 9360 9363 9396 9425 9600 9750 10092 10125 10179 10368 10400 10440 10530 10800 10875 10933 11136 11232 11310 11600 11700 11745 12000 12064 12480 12484 12528 12615 12960 13000 13050 13456 13500 13572 13920 14040 14400 14500 14625 14976 15080 15138 15600 15605 15660 16000 16200 16704 16820 16848 16965 17280 17400 17550 18000 18096 18560 18720 18726 18792 18850 19500 19575 20184 20250 20358 20800 20880 21025 21060 21600 21750 21866 22464 22620 22707 23200 23400 23490 24000 24128 24960 24968 25056 25230 25920 26000 26100 26325 26912 27000 27144 27840 28080 28089 28275 28800 29000 29250 30160 30276 30537 31200 31210 31320 32400 32625 32799 33408 33640 33696 33930 34800 35100 36000 36192 37440 37452 37584 37700 37845 39000 39150 40368 40500 40573 40716 41600 41760 42050 42120 43200 43500 43732 43875 44928 45240 45414 46400 46800 46815 46980 47125 48000 48256 49936 50112 50460 50895 51840 52000 52200 52650 53824 54000 54288 54665 55680 56160 56178 56550 58000 58500 58725 60320 60552 61074 62400 62420 62640 63075 64800 65250 65598 67280 67392 67860 68121 69600 70200 72000 72384 74880 74904 75168 75400 75690 78000 78025 78300 80736 81000 81146 81432 83520 84100 84240 84267 84825 86400 87000 87464 87750 90480 90509 90828 92800 93600 93630 93960 94250 97875 98397 99872 100224 100920 101790 104000 104400 105125 105300 107648 108000 108576 109330 112320 112356 113100 113535 116000 117000 117450 120640 121104 121719 122148 124800 124840 125280 126150 129600 130500 131196 131625 134560 134784 135720 136242 139200 140400 140445 141375 144000 144768 149808 150336 150800 151380 152685 156000 156050 156600 161472 162000 162292 162864 163995 167040 168200 168480 168534 169650 174000 174928 175500 180960 181018 181656 187200 187260 187920 188500 189225 195750 196794 199744 201840 202865 203580 208000 208800 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7864203917760 7931998779120 7987082103975 8135383363200 8191879081000 8205515978400 8262498728250 8519554244240 8626048672293 8813331976800 8844394665600 8847229407480 9117239976000 9152306283600 9215863966125 9437044701312 9518398534944 9584498524770 9830254897200 9914998473900 10169229204000 10223465093088 10256894973000 10575998372160 10616675288976 10649442805300 10940687971200 11016664971000 11055493332000 11059036759350 11440382854500 11501398229724 11751109302400 11796305876640 11897998168680 12203075044800 12287818621500 12393748092375 12623870736000 12691198046592 12779331366360 13107006529600 13219997965200 13270844111220 13311803506625 13558972272000 13631286790784 13675859964000 14155567051968 14376747787155 14643690053760 14688886628000 14740657776000 14745382345800 14872497710850 15253843806000 15335197639632 15728407835520 15863997558240 15974164207950 16383758162000 16411031956800 16524997456500 16588555139025 17039108488480 17252097344586 17626663953600 17694458814960 18234479952000 18304612567200 18431727932250 19036797069888 19168997049540 19660509794400 19829996947800 20338458408000 20446930186176 20513789946000 21151996744320 21233350577952 21298885610600 22033329942000 22110986664000 22118073518700 22880765709000 23002796459448 23592611753280 23795996337360 23961246311925 24406150089600 24575637243000 24787496184750 25558662732720 26214013059200 26439995930400 26541688222440 26623607013250 27351719928000 27647591898375 28311134103936 28753495574310 29377773256000 29490764691600 29744995421700 30507687612000 30670395279264 31727995116480 31948328415900 32767516324000 32822063913600 33049994913000 33177110278050 34078216976960 34504194689172 35253327907200 35388917629920 36609225134400 36863455864500 37181244277125 38073594139776 38337994099080 39321019588800 39659993895600 39935410519875 40676916816000 40893860372352 41027579892000 42466701155904 42597771221200 43130243361465 44066659884000 44221973328000 44236147037400 45761531418000 46005592918896 47185223506560 47591992674720 47922492623850 49151274486000 49574992369500 51117325465440 52879991860800 53083376444880 53247214026500 54703439856000 55295183796750 57506991148620 58755546512000 58981529383200 59489990843400 61015375224000 61340790558528 63455990232960 63896656831800 65535032648000 66099989826000 66354220556100 68156433953920 69008389378344 70777835259840 71883738935775 73218450268800 73726911729000 74362488554250 76675988198160 78642039177600 79319987791200 79870821039750 82055159784000 82942775695125 84933402311808 85195542442400 86260486722930 88133319768000 88472294074800 91523062836000 92011185837792 95183985349440 95844985247700 98302548972000 99149984739000 102234650930880 105759983721600 106166752889760 106494428053000 110590367593500 115013982297240 117963058766400 118979981686800 119806231559625 122030750448000 122681581117056 127793313663600 131070065296000 132199979652000 132708441112200 138016778756688 141555670519680 143767477871550 147453823458000 148724977108500 153351976396320 158639975582400 159741642079500 164110319568000 165885551390250 170391084884800 172520973445860 176266639536000 176944588149600 183046125672000 184022371675584 190367970698880 191689970495400 196605097944000 198299969478000 204469301861760 212333505779520 212988856106000 215651216807325 221180735187000 230027964594480 235926117532800 237959963373600 239612463119250 255586627327200 264399959304000 265416882224400 276033557513376 287534955743100 294907646916000 297449954217000 306703952792640 317279951164800 319483284159000 331771102780500 340782169769600 345041946891720 353889176299200 359418694678875 366092251344000 368044743351168 383379940990800 393210195888000 396599938956000 424667011559040 425977712212000 431302433614650 442361470374000 460055929188960 475919926747200 479224926238500 511173254654400 528799918608000 530833764448800 552067115026752 575069911486200 589815293832000 594899908434000 613407905585280 638966568318000 663542205561000 690083893783440 707778352598400 718837389357750 766759881981600 793199877912000 851955424424000 862604867229300 884722940748000 920111858377920 951839853494400 958449852477000 1022346509308800 1061667528897600 1078256084036625 1104134230053504 1150139822972400 1179630587664000 1189799816868000 1277933136636000 1327084411122000 1380167787566880 1437674778715500 1533519763963200 1586399755824000 1703910848848000 1725209734458600 1769445881496000 1840223716755840 1916899704954000 2123335057795200 2156512168073250 2300279645944800 2379599633736000 2555866273272000 2654168822244000 2760335575133760 2875349557431000 3067039527926400 3450419468917200 3538891762992000 3833799409908000 4313024336146500 4600559291889600 4759199267472000 5111732546544000 5308337644488000 5520671150267520 5750699114862000 6900838937834400 7667598819816000 8626048672293000 9201118583779200 10616675288976000 11501398229724000 13801677875668800 15335197639632000 17252097344586000 23002796459448000 27603355751337600 34504194689172000 46005592918896000 69008389378344000 138016778756688000
- Sum of all divisors σ(n): 571903891573374360
- Sum of proper divisors (its aliquot sum) s(n): 433887112816686360
- 138016778756688000 is an abundant number, because the sum of its proper divisors (433887112816686360) is greater than itself. Its abundance is 295870334059998360
Bases of 138016778756688000
- Binary: 1111010100101010110000111011011101101011000001000100000002
- Hexadecimal: 0x1EA55876ED60880
- Base-36: 11QYV4UW3S00
Squares and roots of 138016778756688000
- 138016778756688000 squared (1380167787566880002) is 19048631218372563995104729344000000
- 138016778756688000 cubed (1380167787566880003) is 2629030720483866345571061220948741069852672000000000
-
The
square root of 138016778756688000 is 371506095.1810723657 -
The
cube root of 138016778756688000 is 516785.8680420645
Scales and comparisons
How big is 138016778756688000?- 138,016,778,756,688,000 seconds is equal to 4,388,506,650 years, 27 weeks, 6 days.
-
To count from 1 to 138,016,778,756,688,000 would take you about thirteen billion, one hundred sixty-five million, five hundred nineteen thousand, nine 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 138016778756688000 cubic inches would be around 43065.5 feet tall.
Recreational maths with 138016778756688000
- 138016778756688000 backwards is 000886657877610831
- 138016778756688000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138016778756688000's digits is 81
- More coming soon!
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Cite this page
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"Number 138016778756688000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 138016778756688000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138016778756688000/
Chicago style:
Numbermatics. 2024. "Number 138016778756688000 - Facts about the integer". https://numbermatics.com/n/138016778756688000/
The information we have on file for 138016778756688000 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!
Keywords: Divisors of 138016778756688000, math, Factors of 138016778756688000, curriculum, school, college, exams, university, Prime factorization of 138016778756688000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, sixteen trillion, seven hundred seventy-eight billion, seven hundred fifty-six million, six hundred eighty-eight thousand.