138329675392742400
138,329,675,392,742,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138329675392742400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
138329675392742400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 138329675392742400:
210 × 3 × 52 × 7 × 674 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 67 × 67 × 67 × 67 × 113 × 113)See below for interesting mathematical facts about the number 138329675392742400 from the Numbermatics database.
Names of 138329675392742400
- Cardinal: 138329675392742400 can be written as One hundred thirty-eight quadrillion, three hundred twenty-nine trillion, six hundred seventy-five billion, three hundred ninety-two million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.383296753927424 × 1017
Factors of 138329675392742400
Divisors of 138329675392742400
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 67 70 75 80 84 96 100 105 112 113 120 128 134 140 150 160 168 175 192 200 201 210 224 226 240 256 268 280 300 320 335 336 339 350 384 400 402 420 448 452 469 480 512 525 536 560 565 600 640 670 672 678 700 768 791 800 804 840 896 904 938 960 1005 1024 1050 1072 1120 1130 1200 1280 1340 1344 1356 1400 1407 1536 1582 1600 1608 1675 1680 1695 1792 1808 1876 1920 2010 2100 2144 2240 2260 2345 2373 2400 2560 2680 2688 2712 2800 2814 2825 3072 3164 3200 3216 3350 3360 3390 3584 3616 3752 3840 3955 4020 4200 4288 4480 4489 4520 4690 4746 4800 5025 5120 5360 5376 5424 5600 5628 5650 6328 6400 6432 6700 6720 6780 7035 7168 7232 7504 7571 7680 7910 8040 8400 8475 8576 8960 8978 9040 9380 9492 9600 10050 10720 10752 10848 11200 11256 11300 11725 11865 12656 12769 12800 12864 13400 13440 13467 13560 14070 14464 15008 15142 15360 15820 16080 16800 16950 17152 17920 17956 18080 18760 18984 19200 19775 20100 21440 21504 21696 22400 22445 22512 22600 22713 23450 23730 25312 25538 25600 25728 26800 26880 26934 27120 28140 28928 30016 30284 31423 31640 32160 33600 33900 34304 35175 35840 35912 36160 37520 37855 37968 38307 38400 39550 40200 42880 43392 44800 44890 45024 45200 45426 46900 47460 50624 51076 51456 52997 53600 53760 53868 54240 56280 57856 59325 60032 60568 62846 63280 63845 64320 67200 67335 67800 68608 70350 71824 72320 75040 75710 75936 76614 76800 79100 80400 85760 86784 89383 89600 89780 90048 90400 90852 93800 94269 94920 101248 102152 102912 105994 107200 107520 107736 108480 112225 112560 113565 115712 118650 120064 121136 125692 126560 127690 128640 134400 134670 135600 140700 143648 144640 150080 151420 151872 153228 157115 158200 158991 160800 171520 173568 178766 179200 179560 180096 180800 181704 187600 188538 189275 189840 191535 202496 204304 205824 211988 214400 215472 216960 224450 225120 227130 237300 240128 242272 251384 253120 255380 257280 264985 268149 268800 269340 271200 281400 287296 289280 300160 300763 302840 303744 306456 314230 316400 317982 319225 321600 336675 343040 347136 357532 359120 360192 361600 363408 375200 377076 378550 379680 383070 404992 408608 423976 428800 430944 433920 446915 448900 450240 454260 471345 474600 480256 484544 502768 506240 507257 510760 514560 529970 536298 537600 538680 542400 562800 567825 574592 578560 600320 601526 605680 607488 612912 628460 632800 635964 638450 643200 673350 715064 718240 720384 723200 726816 750400 754152 757100 759360 766140 785575 794955 809984 817216 847952 855523 857600 861888 867840 893830 897800 900480 902289 908520 942690 949200 957675 969088 1005536 1012480 1014514 1021520 1029120 1059940 1072596 1077360 1084800 1125600 1135650 1149184 1200640 1203052 1211360 1214976 1225824 1256920 1265600 1271928 1276900 1286400 1324925 1340745 1346700 1430128 1436480 1440768 1446400 1453632 1500800 1503815 1508304 1514200 1518720 1521771 1532280 1571150 1589910 1634432 1695904 1711046 1715200 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3072354197600 3081525404160 3087715968588 3187907342200 3225971907480 3441036701312 3497589769728 3602335296686 3611080883200 3643322676800 3654198266880 3686825037120 3825488810640 3851906755200 3859644960735 3932613372928 4032464884350 4080521398016 4116954624784 4301295876640 4371987212160 4402179148800 4567747833600 4608531296400 4781861013300 4915766716160 5100651747520 5135875673600 5146193280980 5161555051968 5376619845800 5403502945029 5416621324800 5464984015200 5829316282880 5898920059392 6090330444800 6120782097024 6144708395200 6163050808320 6175431937176 6375814684400 6432741601225 6451943814960 6882073402624 6995179539456 7204670593372 7286645353600 7373650074240 7650977621280 7703813510400 7719289921470 8064929768700 8161042796032 8233909249568 8602591753280 8743974424320 9005838241715 9135495667200 9217062592800 9563722026600 9831533432320 10201303495040 10271751347200 10292386561960 10323110103936 10753239691600 10807005890058 10833242649600 10929968030400 11658632565760 11797840118784 12241564194048 12289416790400 12350863874352 12751629368800 12865483202450 12903887629920 13764146805248 14409341186744 14573290707200 14747300148480 15301955242560 15407627020800 15438579842940 16129859537400 16322085592064 16467818499136 17205183506560 17487948848640 18011676483430 18270991334400 18434125185600 19127444053200 19298224803675 19663066864640 20402606990080 20584773123920 20646220207872 21506479383200 21614011780116 21859936060800 24483128388096 24578833580800 24701727748704 25503258737600 25730966404900 25807775259840 27017514725145 27528293610496 28818682373488 29146581414400 29494600296960 30603910485120 30815254041600 30877159685880 32259719074800 32935636998272 34410367013120 34975897697280 36023352966860 36868250371200 38254888106400 38596449607350 40805213980160 41169546247840 41292440415744 43012958766400 43228023560232 43719872121600 45029191208575 48966256776192 49157667161600 49403455497408 51006517475200 51461932809800 51615550519680 54035029450290 57637364746976 58293162828800 58989200593920 61207820970240 61754319371760 64519438149600 65871273996544 68820734026240 72046705933720 73736500742400 76509776212800 77192899214700 81610427960320 82339092495680 82584880831488 86025917532800 86456047120464 87439744243200 90058382417150 98315334323200 98806910994816 102013034950400 102923865619600 103231101039360 108070058900580 115274729493952 122415641940480 123508638743520 129038876299200 131742547993088 135087573625725 137641468052480 144093411867440 147473001484800 153019552425600 154385798429400 164678184991360 172051835065600 172912094240928 174879488486400 180116764834300 197613821989632 204026069900800 205847731239200 206462202078720 216140117801160 230549458987904 244831283880960 247017277487040 258077752598400 263485095986176 270175147251450 288186823734880 294946002969600 306039104851200 308771596858800 329356369982720 344103670131200 345824188481856 360233529668600 395227643979264 408052139801600 411695462478400 412924404157440 432280235602320 461098917975808 494034554974080 516155505196800 540350294502900 576373647469760 612078209702400 617543193717600 658712739965440 688207340262400 691648376963712 720467059337200 790455287958528 823390924956800 864560471204640 922197835951616 988069109948160 1032311010393600 1080700589005800 1152747294939520 1224156419404800 1235086387435200 1317425479930880 1383296753927424 1440934118674400 1646781849913600 1729120942409280 1844395671903232 1976138219896320 2064622020787200 2161401178011600 2305494589879040 2470172774870400 2766593507854848 2881868237348800 3293563699827200 3458241884818560 3952276439792640 4322802356023200 4610989179758080 4940345549740800 5533187015709696 5763736474697600 6587127399654400 6916483769637120 8645604712046400 9221978359516160 9880691099481600 11527472949395200 13832967539274240 17291209424092800 19761382198963200 23054945898790400 27665935078548480 34582418848185600 46109891797580800 69164837696371200 138329675392742400
- Sum of all divisors σ(n): 535151317853637472
- Sum of proper divisors (its aliquot sum) s(n): 396821642460895072
- 138329675392742400 is an abundant number, because the sum of its proper divisors (396821642460895072) is greater than itself. Its abundance is 258491967068152672
Bases of 138329675392742400
- Binary: 1111010110111001000011011010110111010110111110100000000002
- Hexadecimal: 0x1EB721B5BADF400
- Base-36: 11U1RZL6GK5C
Squares and roots of 138329675392742400
- 138329675392742400 squared (1383296753927424002) is 19135099094261482255686592757760000
- 138329675392742400 cubed (1383296753927424003) is 2646952046317149947965474046694060615505281024000000
-
The
square root of 138329675392742400 is 371926975.8873943255 -
The
cube root of 138329675392742400 is 517176.1068670275
Scales and comparisons
How big is 138329675392742400?- 138,329,675,392,742,400 seconds is equal to 4,398,455,795 years, 36 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,329,675,392,742,400 would take you about thirteen billion, one hundred ninety-five million, three hundred sixty-seven thousand, three hundred eighty-seven 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 138329675392742400 cubic inches would be around 43098 feet tall.
Recreational maths with 138329675392742400
- 138329675392742400 backwards is 004247293576923831
- 138329675392742400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138329675392742400's digits is 75
- More coming soon!
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The information we have on file for 138329675392742400 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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