138742642483200

Names of 138742642483200

• Cardinal: 138742642483200 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, six hundred forty-two million, four hundred eighty-three thousand, two hundred.

Scientific notation

• Scientific notation: 1.387426424832 × 10¹⁴

Factors of 138742642483200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1819

Divisors of 138742642483200

• Number of divisors d(n): 1512
• 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 79 80 84 90 96 100 105 112 120 126 128 140 144 150 158 160 168 175 180 192 200 210 224 225 237 240 252 256 280 288 300 315 316 320 336 350 360 384 395 400 420 448 450 474 480 504 512 525 553 560 576 600 630 632 640 672 700 711 720 768 790 800 840 896 900 948 960 1008 1024 1050 1106 1120 1152 1185 1200 1260 1264 1280 1344 1400 1422 1440 1536 1575 1580 1600 1659 1680 1723 1792 1800 1896 1920 1975 2016 2048 2100 2212 2240 2304 2370 2400 2520 2528 2560 2688 2765 2800 2844 2880 3072 3150 3160 3200 3318 3360 3446 3555 3584 3600 3792 3840 3950 4032 4096 4200 4424 4480 4608 4740 4800 4977 5040 5056 5120 5169 5376 5530 5600 5688 5760 5925 6144 6241 6300 6320 6400 6636 6720 6892 7110 7168 7200 7584 7680 7900 8064 8192 8295 8400 8615 8848 8960 9216 9480 9600 9954 10080 10112 10240 10338 10752 11060 11200 11376 11520 11850 12061 12288 12482 12600 12640 12800 13272 13440 13784 13825 14220 14336 14400 15168 15360 15507 15800 16128 16590 16800 17230 17696 17775 17920 18432 18723 18960 19200 19908 20160 20224 20480 20676 21504 22120 22400 22752 23040 23700 24122 24576 24885 24964 25200 25280 25600 25845 26544 26880 27568 27650 28440 28672 28800 30336 30720 31014 31205 31600 32256 33180 33600 34460 35392 35550 35840 36183 36864 37446 37920 38400 39816 40320 40448 40960 41352 41475 43008 43075 43687 44240 44800 45504 46080 47400 48244 49770 49928 50400 50560 51200 51690 53088 53760 55136 55300 56169 56880 57344 57600 60305 60672 61440 62028 62410 63200 64512 66360 67200 68920 70784 71100 71680 72366 73728 74892 75840 76800 77535 79632 80640 80896 82704 82950 86016 86150 87374 88480 89600 91008 92160 93615 94800 96488 99540 99856 100800 101120 102400 103380 106176 107520 108549 110272 110600 112338 113760 115200 120610 121344 122880 124056 124425 124820 126400 129024 129225 131061 132720 134400 136117 137840 141568 142200 143360 144732 149784 151680 153600 155070 156025 159264 161280 161792 165408 165900 172032 172300 174748 176960 179200 180915 182016 184320 187230 189600 192976 199080 199712 201600 202240 204800 206760 212352 215040 217098 218435 220544 221200 224676 227520 230400 241220 242688 248112 248850 249640 252800 258048 258450 262122 265440 268800 272234 275680 280845 283136 284400 286720 289464 299568 301525 303360 307200 310140 312050 318528 322560 323584 330816 331800 344600 349496 353920 358400 361830 364032 368640 374460 379200 385952 387675 393183 398160 399424 403200 404480 408351 413520 424704 430080 434196 436870 441088 442400 449352 455040 460800 468075 482440 485376 496224 497700 499280 505600 516096 516900 524244 530880 537600 542745 544468 551360 561690 566272 568800 578928 599136 603050 606720 614400 620280 624100 637056 645120 647168 655305 661632 663600 680585 689200 698992 707840 716800 723660 728064 748920 758400 771904 775350 786366 796320 798848 806400 808960 816702 827040 849408 860160 868392 873740 882176 884800 898704 904575 910080 921600 936150 952819 964880 970752 992448 995400 998560 1011200 1033800 1048488 1061760 1075200 1085490 1088936 1092175 1102720 1123380 1132544 1137600 1157856 1198272 1206100 1213440 1225053 1240560 1248200 1274112 1290240 1310610 1323264 1327200 1361170 1378400 1397984 1404225 1415680 1433600 1447320 1456128 1497840 1516800 1543808 1550700 1572732 1592640 1597696 1612800 1617920 1633404 1654080 1698816 1736784 1747480 1764352 1769600 1797408 1809150 1820160 1843200 1872300 1905638 1929760 1941504 1965915 1984896 1990800 1997120 2022400 2041755 2067600 2096976 2123520 2150400 2170980 2177872 2184350 2205440 2246760 2265088 2275200 2315712 2396544 2412200 2426880 2450106 2481120 2496400 2548224 2580480 2621220 2646528 2654400 2713725 2722340 2756800 2795968 2808450 2831360 2858457 2894640 2912256 2995680 3033600 3087616 3101400 3145464 3185280 3195392 3225600 3235840 3266808 3276525 3308160 3397632 3402925 3473568 3494960 3528704 3539200 3594816 3618300 3640320 3744600 3811276 3859520 3931830 3969792 3981600 3994240 4044800 4083510 4135200 4193952 4247040 4300800 4341960 4355744 4368700 4410880 4493520 4530176 4550400 4631424 4764095 4793088 4824400 4853760 4900212 4962240 4992800 5096448 5242440 5293056 5308800 5427450 5444680 5513600 5591936 5616900 5662720 5716914 5789280 5824512 5991360 6067200 6125265 6175232 6202800 6290928 6370560 6390784 6451200 6533616 6553050 6616320 6795264 6805850 6947136 6989920 7057408 7078400 7189632 7236600 7280640 7489200 7622552 7719040 7863660 7939584 7963200 7988480 8089600 8167020 8270400 8387904 8494080 8575371 8683920 8711488 8737400 8821760 8987040 9100800 9262848 9528190 9586176 9648800 9707520 9800424 9829575 9924480 9985600 10192896 10208775 10484880 10586112 10617600 10753243 10854900 10889360 11027200 11183872 11233800 11325440 11433828 11578560 11982720 12134400 12250530 12350464 12405600 12581856 12741120 12781568 12902400 13067232 13106100 13232640 13590528 13611700 13894272 13979840 14114816 14156800 14292285 14379264 14473200 14561280 14978400 15245104 15438080 15727320 15879168 15926400 15976960 16179200 16334040 16540800 16775808 16988160 17150742 17367840 17422976 17474800 17643520 17974080 18201600 18525696 19056380 19172352 19297600 19600848 19659150 19848960 19971200 20385792 20417550 20969760 21172224 21235200 21506486 21709800 21778720 22054400 22367744 22467600 22650880 22867656 23157120 23820475 23965440 24268800 24501060 24700928 24811200 25163712 25482240 25563136 26134464 26212200 26465280 27223400 27788544 27959680 28313600 28584570 28758528 28946400 29122560 29956800 30490208 30626325 30876160 31454640 31758336 31852800 31953920 32259729 32668080 33081600 33551616 33976320 34301484 34735680 34845952 34949600 35287040 35948160 36403200 37051392 38112760 38344704 38595200 39201696 39318300 39697920 39942400 40771584 40835100 41939520 42344448 42470400 42876855 43012972 43419600 43557440 44108800 44735488 44935200 45735312 46314240 47640950 47930880 48537600 49002120 49401856 49622400 50327424 50964480 51126272 52268928 52424400 52930560 53766215 54446800 55577088 55919360 56627200 57169140 57517056 57892800 59913600 60980416 61252650 61752320 62909280 63516672 63705600 63907840 64519458 65336160 66163200 67103232 67952640 68602968 69471360 69691904 69899200 70574080 71461425 71896320 72806400 74102784 75272701 76225520 76689408 77190400 78403392 78636600 79395840 79884800 81670200 83879040 84940800 85753710 86025944 86839200 87114880 88217600 89470976 89870400 91470624 92628480 95281900 95861760 96779187 98004240 98803712 99244800 100654848 101928960 104537856 104848800 105861120 107532430 108893600 111154176 111838720 113254400 114338280 115034112 115785600 119827200 121960832 122505300 123504640 125818560 127033344 127411200 127815680 129038916 130672320 132326400 134206464 137205936 138942720 139383808 139798400 142922850 143792640 145612800 148205568 150545402 152451040 153378816 154380800 156806784 157273200 158791680 159769600 161298645 163340400 167758080 169881600 171507420 172051888 173678400 174229760 176435200 178941952 179740800 182941248 185256960 190563800 191723520 193558374 196008480 198489600 201309696 203857920 209075712 209697600 211722240 214384275 215064860 217787200 222308352 223677440 225818103 228676560 230068224 231571200 239654400 243921664 245010600 247009280 251637120 254822400 255631360 258077832 261344640 264652800 268412928 268831075 274411872 277885440 278767616 279596800 285845700 287585280 296411136 301090804 304902080 308761600 313613568 314546400 317583360 319539200 322597290 326680800 335516160 339763200 343014840 344103776 347356800 348459520 352870400 357883904 359481600 365882496 370513920 376363505 381127600 383447040 387116748 392016960 396979200 402619392 418151424 419395200 428768550 430129720 435574400 444616704 447354880 451636206 457353120 460136448 463142400 479308800 483895935 487843328 490021200 494018560 503274240 509644800 516155664 522689280 529305600 536825856 537662150 548823744 555770880 557535232 559193600 571691400 575170560 602181608 609804160 617523200 627227136 629092800 635166720 639078400 645194580 653361600 671032320 677454309 686029680 688207552 694713600 696919040 718963200 731764992 741027840 752727010 762255200 766894080 774233496 784033920 793958400 805238784 806493225 836302848 838790400 857537100 860259440 871148800 889233408 894709760 903272412 914706240 926284800 958617600 967791870 975686656 980042400 1006548480 1019289600 1032311328 1045378560 1058611200 1073651712 1075324300 1097647488 1111541760 1115070464 1118387200 1129090515 1143382800 1150341120 1204363216 1219608320 1235046400 1254454272 1258185600 1278156800 1290389160 1306723200 1342064640 1354908618 1372059360 1376415104 1389427200 1393838080 1437926400 1463529984 1482055680 1505454020 1524510400 1548466992 1568067840 1587916800 1610477568 1612986450 1672605696 1677580800 1715074200 1720518880 1742297600 1789419520 1806544824 1829412480 1852569600 1881817525 1917235200 1935583740 1951373312 1960084800 2013096960 2064622656 2090757120 2150648600 2195294976 2223083520 2236774400 2258181030 2286765600 2300682240 2408726432 2419479675 2439216640 2470092800 2508908544 2516371200 2580778320 2613446400 2684129280 2709817236 2744118720 2752830208 2778854400 2787676160 2875852800 2927059968 3010908040 3049020800 3096933984 3136135680 3175833600 3220955136 3225972900 3345211392 3355161600 3387271545 3430148400 3441037760 3484595200 3613089648 3658824960 3705139200 3763635050 3834470400 3871167480 3902746624 3920169600 4026193920 4129245312 4181514240 4301297200 4390589952 4446167040 4473548800 4516362060 4573531200 4817452864 4838959350 4878433280 5017817088 5032742400 5161556640 5226892800 5368258560 5419634472 5488237440 5505660416 5557708800 5575352320 5645452575 5751705600 5854119936 6021816080 6098041600 6193867968 6272271360 6451945800 6710323200 6774543090 6860296800 6882075520 6969190400 7226179296 7317649920 7410278400 7527270100 7742334960 7805493248 7840339200 8052387840 8258490624 8363028480 8602594400 8781179904 8947097600 9032724120 9147062400 9634905728 9677918700 9756866560 10035634176 10065484800 10323113280 10453785600 10839268944 10976474880 11011320832 11115417600 11290905150 11503411200 11708239872 12043632160 12196083200 12387735936 12544542720 12903891600 13420646400 13549086180 13720593600 13764151040 13938380800 14452358592 14635299840 15054540200 15484669920 15680678400 16104775680 16516981248 16726056960 16936357725 17205188800 17562359808 18065448240 18294124800 19269811456 19355837400 19513733120 20130969600 20646226560 20907571200 21678537888 21952949760 22022641664 22230835200 22581810300 23416479744 24087264320 24392166400 24775471872 25089085440 25807783200 26841292800 27098172360 27441187200 27528302080 27876761600 28904717184 29270599680 30109080400 30969339840 31361356800 33033962496 33872715450 34410377600 35124719616 36130896480 36588249600 38539622912 38711674800 39027466240 40261939200 41292453120 41815142400 43357075776 43905899520 44045283328 45163620600 48174528640 48784332800 49550943744 50178170880 51615566400 54196344720 54882374400 55056604160 57809434368 58541199360 60218160800 61938679680 62722713600 66067924992 67745430900 68820755200 70249439232 72261792960 73176499200 77079245824 77423349600 80523878400 82584906240 83630284800 86714151552 87811799040 88090566656 90327241200 96349057280 97568665600 99101887488 103231132800 108392689440 109764748800 110113208320 115618868736 117082398720 120436321600 123877359360 125445427200 132135849984 135490861800 137641510400 144523585920 146352998400 154158491648 154846699200 165169812480 173428303104 175623598080 180654482400 192698114560 195137331200 198203774976 206462265600 216785378880 219529497600 220226416640 231237737472 240872643200 247754718720 250890854400 264271699968 270981723600 275283020800 289047171840 292705996800 308316983296 309693398400 330339624960 346856606208 351247196160 361308964800 385396229120 396407549952 412924531200 433570757760 439058995200 440452833280 462475474944 481745286400 495509437440 541963447200 550566041600 578094343680 585411993600 616633966592 619386796800 660679249920 693713212416 722617929600 770792458240 792815099904 825849062400 867141515520 878117990400 924950949888 963490572800 991018874880 1083926894400 1101132083200 1156188687360 1238773593600 1321358499840 1387426424832 1445235859200 1541584916480 1651698124800 1734283031040 1756235980800 1849901899776 1926981145600 1982037749760 2167853788800 2202264166400 2312377374720 2477547187200 2774852849664 2890471718400 3083169832960 3303396249600 3468566062080 3853962291200 3964075499520 4335707577600 4624754749440 4955094374400 5549705699328 5780943436800 6606792499200 6937132124160 7707924582400 8671415155200 9249509498880 9910188748800 11561886873600 13874264248320 15415849164800 17342830310400 19820377497600 23123773747200 27748528496640 34685660620800 46247547494400 69371321241600 138742642483200
• Sum of all divisors σ(n): 575587715215968
• Sum of proper divisors (its aliquot sum) s(n): 436845072732768
• 138742642483200 is an abundant number, because the sum of its proper divisors (436845072732768) is greater than itself. Its abundance is 298102430249568

Bases of 138742642483200

• Binary: 11111100010111110001001111010111010000000000000₂
• Hexadecimal: 0x7E2F89EBA000
• Base-36: 1D6HHN3SW0

Squares and roots of 138742642483200

• 138742642483200 squared (138742642483200²) is 19249520843221053462282240000
• 138742642483200 cubed (138742642483200³) is 2670729388323925218824698360252858368000000
• The square root of 138742642483200 is 11778906.6760544461
• The cube root of 138742642483200 is 51769.0251854819

Scales and comparisons

• 138,742,642,483,200 seconds is equal to 4,411,586 years, 45 weeks, 2 days, 8 hours.
• To count from 1 to 138,742,642,483,200 would take you about eleven million, twenty-eight thousand, nine hundred sixty-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 138742642483200 cubic inches would be around 4314.1 feet tall.

Recreational maths with 138742642483200

• 138742642483200 backwards is 002384246247831
• The number of decimal digits it has is: 15
• The sum of 138742642483200's digits is 54
• More coming soon!