138150338918400
138,150,338,918,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138150338918400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138150338918400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138150338918400:
211 × 33 × 52 × 61 × 941 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 61 × 941 × 1741)See below for interesting mathematical facts about the number 138150338918400 from the Numbermatics database.
Names of 138150338918400
- Cardinal: 138150338918400 can be written as One hundred thirty-eight trillion, one hundred fifty billion, three hundred thirty-eight million, nine hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.381503389184 × 1014
Factors of 138150338918400
Divisors of 138150338918400
- Number of divisors d(n): 1152
-
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 61 64 72 75 80 90 96 100 108 120 122 128 135 144 150 160 180 183 192 200 216 225 240 244 256 270 288 300 305 320 360 366 384 400 432 450 480 488 512 540 549 576 600 610 640 675 720 732 768 800 864 900 915 941 960 976 1024 1080 1098 1152 1200 1220 1280 1350 1440 1464 1525 1536 1600 1647 1728 1741 1800 1830 1882 1920 1952 2048 2160 2196 2304 2400 2440 2560 2700 2745 2823 2880 2928 3050 3072 3200 3294 3456 3482 3600 3660 3764 3840 3904 4320 4392 4575 4608 4705 4800 4880 5120 5223 5400 5490 5646 5760 5856 6100 6144 6400 6588 6912 6964 7200 7320 7528 7680 7808 8235 8469 8640 8705 8784 9150 9216 9410 9600 9760 10240 10446 10800 10980 11292 11520 11712 12200 12800 13176 13725 13824 13928 14115 14400 14640 15056 15360 15616 15669 16470 16938 17280 17410 17568 18300 18432 18820 19200 19520 20892 21600 21960 22584 23040 23424 23525 24400 25407 25600 26115 26352 27450 27648 27856 28230 28800 29280 30112 30720 31232 31338 32940 33876 34560 34820 35136 36600 37640 38400 39040 41175 41784 42345 43200 43525 43920 45168 46080 46848 47007 47050 48800 50814 51200 52230 52704 54900 55296 55712 56460 57401 57600 58560 60224 62464 62676 65880 67752 69120 69640 70272 70575 73200 75280 76800 78080 78345 82350 83568 84690 86400 87050 87840 90336 92160 93696 94014 94100 97600 101628 104460 105408 106201 109800 111424 112920 114802 115200 117120 120448 124928 125352 127035 130575 131760 135504 138240 139280 140544 141150 146400 150560 153600 156160 156690 164700 167136 169380 172203 172800 174100 175680 180672 187392 188028 188200 195200 203256 208920 210816 211725 212402 219600 222848 225840 229604 230400 234240 235035 240896 250704 254070 261150 263520 271008 276480 278560 281088 282300 287005 292800 301120 312320 313380 318603 329400 334272 338760 344406 345600 348200 351360 361344 374784 376056 376400 390400 391725 406512 417840 421632 423450 424804 439200 445696 451680 459208 460800 468480 470070 481792 501408 508140 516609 522300 527040 531005 542016 557120 562176 564600 574010 585600 602240 624640 626760 635175 637206 658800 668544 677520 688812 691200 696400 702720 722688 752112 752800 780800 783450 813024 835680 843264 846900 849608 861015 878400 891392 903360 918416 936960 940140 955809 963584 1002816 1016280 1033218 1044600 1054080 1062010 1084032 1114240 1124352 1129200 1148020 1171200 1175175 1204480 1253520 1270350 1274412 1317600 1337088 1355040 1377624 1382400 1392800 1405440 1435025 1445376 1504224 1505600 1549827 1561600 1566900 1593015 1626048 1638281 1671360 1686528 1693800 1699216 1722030 1756800 1782784 1806720 1836832 1873920 1880280 1911618 1927168 2005632 2032560 2066436 2089200 2108160 2124020 2168064 2228480 2258400 2296040 2342400 2350350 2408960 2507040 2540700 2548824 2583045 2635200 2655025 2674176 2710080 2755248 2785600 2810880 2867427 2870050 2890752 3008448 3011200 3099654 3123200 3133800 3186030 3252096 3276562 3342720 3373056 3387600 3398432 3444060 3513600 3565568 3613440 3673664 3760560 3823236 4011264 4065120 4132872 4178400 4216320 4248040 4305075 4336128 4456960 4516800 4592080 4684800 4700700 4779045 4817920 4914843 5014080 5081400 5097648 5166090 5270400 5310050 5348352 5420160 5510496 5571200 5621760 5734854 5740100 5781504 6016896 6022400 6199308 6267600 6372060 6504192 6553124 6685440 6775200 6796864 6888120 7027200 7226880 7347328 7521120 7646472 7749135 7965075 8022528 8130240 8191405 8265744 8356800 8432640 8496080 8610150 8672256 8913920 9033600 9184160 9369600 9401400 9558090 9635840 9829686 10028160 10162800 10195296 10332180 10540800 10620100 10696704 10840320 11020992 11142400 11469708 11480200 12033792 12044800 12398616 12535200 12744120 12915225 13008384 13106248 13370880 13550400 13593728 13776240 14054400 14337135 14453760 14694656 14744529 15042240 15292944 15498270 15930150 16045056 16260480 16382810 16531488 16713600 16865280 16992160 17220300 17344512 17827840 18067200 18368320 18802800 19116180 19659372 20056320 20325600 20390592 20664360 21081600 21240200 21680640 22041984 22284800 22939416 22960400 23895225 24067584 24089600 24574215 24797232 25070400 25488240 25830450 26016768 26212496 26741760 27100800 27187456 27552480 28108800 28674270 28907520 29389312 29489058 30084480 30585888 30996540 31860300 32090112 32520960 32765620 33062976 33427200 33984320 34440600 36134400 36736640 37605600 38232360 38745675 39318744 40112640 40651200 40781184 40957025 41328720 42163200 42480400 43361280 44083968 44233587 44569600 45878832 45920800 47790450 48135168 48179200 49148430 49594464 50140800 50976480 51660900 52033536 52424992 53483520 54201600 54374912 55104960 57348540 58778624 58978116 60168960 61171776 61993080 63720600 65041920 65531240 66125952 66854400 67968640 68881200 71685675 72268800 73473280 73722645 75211200 76464720 77491350 78637488 80225280 81302400 81562368 81914050 82657440 84326400 84960800 86722560 88167936 88467174 89139200 91757664 91841600 95580900 96270336 98296860 99188928 99935141 100281600 101952960 103321800 104849984 108403200 108749824 110209920 114697080 117557248 117956232 120337920 122343552 122871075 123986160 127441200 130083840 131062480 132251904 133708800 135937280 137762400 143371350 144537600 146946560 147445290 150422400 152929440 154982700 157274976 160450560 162604800 163124736 163828100 165314880 169921600 176335872 176934348 183515328 183683200 191161800 196593720 198377856 199870282 200563200 203905920 206643600 209699968 216806400 217499648 220419840 221167935 229394160 235912464 240675840 244687104 245742150 247972320 254882400 260167680 262124960 264503808 267417600 271874560 275524800 286742700 293893120 294890580 299805423 300844800 305858880 309965400 314549952 325209600 326249472 327656200 330629760 339843200 352671744 353868696 367030656 367366400 368613225 382323600 393187440 396755712 399740564 401126400 407811840 413287200 419399936 433612800 440839680 442335870 458788320 471824928 481351680 489374208 491484300 495944640 499675705 509764800 524249920 529007616 543749120 551049600 573485400 587786240 589781160 599610846 601689600 611717760 619930800 629099904 650419200 652498944 655312400 661259520 679686400 707737392 734061312 734732800 737226450 764647200 786374880 793511424 799481128 802252800 815623680 826574400 838799872 881679360 884671740 899416269 917576640 943649856 978748416 982968600 991889280 999351410 1019529600 1048499840 1058015232 1087498240 1102099200 1105839675 1146970800 1179562320 1199221692 1203379200 1223435520 1239861600 1258199808 1300838400 1310624800 1322519040 1359372800 1415474784 1468122624 1469465600 1474452900 1499027115 1529294400 1572749760 1587022848 1598962256 1631247360 1653148800 1677599744 1763358720 1769343480 1798832538 1835153280 1887299712 1957496832 1965937200 1983778560 1998702820 2039059200 2096999680 2204198400 2211679350 2293941600 2359124640 2398443384 2406758400 2446871040 2479723200 2498378525 2516399616 2621249600 2645038080 2698248807 2718745600 2830949568 2936245248 2938931200 2948905800 2998054230 3058588800 3145499520 3174045696 3197924512 3262494720 3306297600 3355199488 3538686960 3597665076 3670306560 3774599424 3931874400 3967557120 3997405640 4078118400 4193999360 4408396800 4423358700 4497081345 4587883200 4718249280 4796886768 4893742080 4959446400 4996757050 5032799232 5242499200 5290076160 5396497614 5437491200 5661899136 5872490496 5897811600 5996108460 6117177600 6290999040 6395849024 6612595200 7077373920 7195330152 7340613120 7495135575 7549198848 7863748800 7935114240 7994811280 8156236800 8387998720 8816793600 8846717400 8994162690 9175766400 9436498560 9593773536 9787484160 9918892800 9993514100 10065598464 10484998400 10792995228 11323798272 11795623200 11992216920 12234355200 12581998080 12791698048 13225190400 13491244035 14154747840 14390660304 14681226240 14990271150 15098397696 15727497600 15870228480 15989622560 16312473600 16775997440 17693434800 17988325380 18351532800 18872997120 19187547072 19837785600 19987028200 20969996800 21585990456 22485406725 22647596544 23591246400 23984433840 24468710400 25163996160 25583396096 26450380800 26982488070 28309495680 28781320608 29362452480 29980542300 30196795392 31454995200 31979245120 35386869600 35976650760 36703065600 37745994240 38375094144 39675571200 39974056400 41939993600 43171980912 44970813450 45295193088 47182492800 47968867680 48937420800 50327992320 51166792192 53964976140 56618991360 57562641216 59961084600 62909990400 63958490240 67456220175 70773739200 71953301520 73406131200 75491988480 76750188288 79351142400 79948112800 83879987200 86343961824 89941626900 90590386176 94364985600 95937735360 102333584384 107929952280 113237982720 115125282432 119922169200 125819980800 127916980480 134912440350 141547478400 143906603040 146812262400 150983976960 153500376576 159896225600 172687923648 179883253800 188729971200 191875470720 204667168768 215859904560 226475965440 230250564864 239844338400 251639961600 255833960960 269824880700 283094956800 287813206080 307000753152 319792451200 345375847296 359766507600 377459942400 383750941440 431719809120 452951930880 460501129728 479688676800 511667921920 539649761400 566189913600 575626412160 614001506304 639584902400 690751694592 719533015200 754919884800 767501882880 863439618240 921002259456 959377353600 1023335843840 1079299522800 1132379827200 1151252824320 1279169804800 1381503389184 1439066030400 1535003765760 1726879236480 1842004518912 1918754707200 2158599045600 2264759654400 2302505648640 2558339609600 2763006778368 2878132060800 3070007531520 3453758472960 3837509414400 4317198091200 4605011297280 5116679219200 5526013556736 5756264121600 6907516945920 7675018828800 8634396182400 9210022594560 11512528243200 13815033891840 15350037657600 17268792364800 23025056486400 27630067783680 34537584729600 46050112972800 69075169459200 138150338918400
- Sum of all divisors σ(n): 516614193950400
- Sum of proper divisors (its aliquot sum) s(n): 378463855032000
- 138150338918400 is an abundant number, because the sum of its proper divisors (378463855032000) is greater than itself. Its abundance is 240313516113600
Bases of 138150338918400
- Binary: 111110110100101101000011110000001111000000000002
- Hexadecimal: 0x7DA5A1E07800
- Base-36: 1CYXE0UTC0
Squares and roots of 138150338918400
- 138150338918400 squared (1381503389184002) is 19085516143268785681858560000
- 138150338918400 cubed (1381503389184003) is 2636670523625177192776373302412181504000000
-
The
square root of 138150338918400 is 11753737.2319786017 -
The
cube root of 138150338918400 is 51695.2513847189
Scales and comparisons
How big is 138150338918400?- 138,150,338,918,400 seconds is equal to 4,392,753 years, 23 weeks, 3 days.
-
To count from 1 to 138,150,338,918,400 would take you about ten million, nine hundred eighty-one thousand, eight hundred eighty-three 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 138150338918400 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138150338918400
- 138150338918400 backwards is 004819833051831
- 138150338918400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138150338918400's digits is 54
- More coming soon!
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The information we have on file for 138150338918400 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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