138216284774400

Names of 138216284774400

• Cardinal: 138216284774400 can be written as One hundred thirty-eight trillion, two hundred sixteen billion, two hundred eighty-four million, seven hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.382162847744 × 10¹⁴

Factors of 138216284774400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 525

Divisors of 138216284774400

• Number of divisors d(n): 1512
• 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 49 50 56 60 64 70 75 80 84 96 98 100 105 107 112 120 128 140 147 150 160 168 175 192 196 200 210 214 224 240 245 256 280 294 300 320 321 336 350 384 392 400 401 420 428 448 480 490 512 525 535 560 588 600 640 642 672 700 735 749 768 784 800 802 840 856 896 960 980 1024 1050 1070 1120 1176 1200 1203 1225 1280 1284 1344 1400 1470 1498 1536 1568 1600 1604 1605 1680 1712 1792 1920 1960 2005 2048 2100 2140 2240 2247 2352 2400 2406 2450 2560 2568 2675 2688 2800 2807 2940 2996 3072 3136 3200 3208 3210 3360 3424 3584 3675 3745 3840 3920 4010 4096 4200 4280 4480 4494 4704 4800 4812 4900 5120 5136 5243 5350 5376 5600 5614 5880 5992 6015 6144 6272 6400 6416 6420 6720 6848 7168 7350 7490 7680 7840 8020 8025 8192 8400 8421 8560 8960 8988 9408 9600 9624 9800 10025 10240 10272 10486 10700 10752 11200 11228 11235 11449 11760 11984 12030 12288 12544 12800 12832 12840 13440 13696 14035 14336 14700 14980 15360 15680 15729 16040 16050 16800 16842 17120 17920 17976 18725 18816 19200 19248 19600 19649 20050 20480 20544 20972 21400 21504 22400 22456 22470 22898 23520 23968 24060 24576 25088 25600 25664 25680 26215 26880 27392 28070 28672 29400 29960 30075 30720 31360 31458 32080 32100 33600 33684 34240 34347 35840 35952 37450 37632 38400 38496 39200 39298 40100 40960 41088 41944 42105 42800 42907 43008 44800 44912 44940 45796 47040 47936 48120 50176 51200 51328 51360 52430 53760 54784 56140 56175 57245 57344 58800 58947 59920 60150 61440 62720 62916 64160 64200 67200 67368 68480 68694 70175 71680 71904 74900 75264 76800 76992 78400 78596 78645 80143 80200 82176 83888 84210 85600 85814 86016 89600 89824 89880 91592 94080 95872 96240 98245 100352 102400 102656 102720 104860 107520 109568 112280 112350 114490 117600 117894 119840 120300 122880 125440 125832 128320 128400 128721 131075 134400 134736 136960 137388 140350 143360 143808 149800 150528 153600 153984 156800 157192 157290 160286 160400 164352 167776 168420 171200 171628 171735 172032 179200 179648 179760 183184 188160 191744 192480 196490 200704 204800 205312 205440 209720 210525 214535 215040 219136 224560 224700 228980 235200 235788 239680 240429 240600 250880 251664 256640 256800 257442 262150 268800 269472 273920 274776 280700 286225 286720 287616 294735 299600 300349 301056 307200 307968 313600 314384 314580 320572 320800 328704 335552 336840 342400 343256 343470 358400 359296 359520 366368 376320 383488 384960 392980 393225 400715 401408 410624 410880 419440 421050 429070 430080 438272 449120 449400 457960 470400 471576 479360 480858 481200 491225 501760 503328 513280 513600 514884 524300 537600 538944 547840 549552 561001 561400 572450 575232 589470 599200 600698 602112 614400 615936 627200 628768 629160 641144 641600 643605 657408 671104 673680 684800 686512 686940 716800 718592 719040 732736 752640 766976 769920 785960 786450 801430 821248 821760 838880 842100 858140 858675 860160 876544 898240 898800 901047 915920 940800 943152 958720 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3834880 3846864 3849600 3929800 4007150 4026624 4106240 4108800 4119072 4194400 4204886 4290700 4300800 4311552 4382720 4396416 4488008 4491200 4505235 4579600 4591049 4601856 4715760 4793600 4805584 4808580 4927488 5017600 5030144 5033280 5129152 5132800 5148840 5368832 5389440 5478400 5492096 5495520 5610010 5748736 5752320 5861888 5894700 6006980 6010725 6021120 6135808 6159360 6287680 6291600 6307329 6411440 6436050 6574080 6711040 6732012 6736800 6865120 6869400 7185920 7190400 7208376 7327360 7508725 7526400 7545216 7669760 7693728 7699200 7859600 8014300 8053248 8212480 8217600 8238144 8388800 8409772 8415015 8581400 8623104 8792832 8976016 8982400 9010470 9159200 9182098 9203712 9431520 9587200 9611168 9617160 9854976 10035200 10060288 10066560 10258304 10265600 10297680 10512215 10737664 10778880 10956800 10984192 10991040 11220020 11497472 11504640 11723776 11789400 12013960 12021450 12318720 12575360 12583200 12614658 12822880 12872100 13148160 13422080 13464024 13473600 13730240 13738800 13773147 14025025 14371840 14380800 14416752 14654720 15017450 15052800 15090432 15339520 15387456 15398400 15719200 16028600 16106496 16424960 16435200 16476288 16777600 16819544 16830030 17162800 17246208 17585664 17952032 17964800 18020940 18318400 18364196 18407424 18863040 19174400 19222336 19234320 20120576 20133120 20516608 20531200 20595360 21024430 21475328 21557760 21913600 21968384 21982080 22440040 22526175 22955245 22994944 23009280 23447552 23578800 24027920 24042900 24637440 25150720 25166400 25229316 25645760 25744200 26844160 26928048 26947200 27460480 27477600 27546294 28050050 28743680 28761600 28833504 29309440 30034900 30105600 30180864 30679040 30774912 30796800 31438400 31536645 32057200 32137343 32212992 32870400 32952576 33555200 33639088 33660060 34325600 34492416 35171328 35904064 35929600 36041880 36636800 36728392 37726080 38348800 38444672 38468640 40241152 40266240 41033216 41062400 41190720 42048860 42075075 42950656 43115520 43936768 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143616256 143718400 144167520 146547200 146913568 150904320 153395200 153778688 153874560 157683225 160686715 160964608 161064960 164132864 164762880 168195440 168300300 172462080 175747072 175856640 179520320 180209400 183641960 188630400 192223360 192343200 192824058 201205760 201331200 201834528 205166080 205953600 210244300 214753280 215424384 215577600 219683840 219820800 220370352 224400400 224961401 229552450 230092800 230668032 234475520 240279200 241446912 246199296 246374400 251507200 252293160 256457600 257098744 263620608 268441600 269112704 269280480 274604800 275462940 281370624 287232512 287436800 288335040 293094400 293827136 301808640 307557376 307749120 315366450 321373430 322129920 328265728 329525760 336390880 336600600 344328675 344924160 351494144 351713280 359040640 360418800 367283920 377260800 384446720 384686400 385648116 402411520 402662400 403669056 410332160 411907200 420488600 430848768 431155200 439367680 439641600 440740704 448800800 449922802 459104900 460185600 461336064 468951040 480558400 482060145 482893824 492398592 503014400 504586320 512915200 514197488 527241216 536883200 538225408 538560960 549209600 550925880 574465024 574873600 576670080 586188800 587654272 603617280 615114752 615498240 630732900 642746860 644259840 656531456 659051520 672781760 673201200 674884203 688657350 703426560 718081280 720837600 734567840 754521600 768893440 769372800 771296232 803433575 804823040 805324800 807338112 820664320 823814400 840977200 861697536 862310400 878735360 879283200 881481408 897601600 899845604 918209800 922672128 961116800 964120290 984797184 1006028800 1009172640 1025830400 1028394976 1054482432 1073766400 1076450816 1077121920 1098419200 1101851760 1124807005 1148930048 1153340160 1172377600 1175308544 1207234560 1230229504 1230996480 1261465800 1285493720 1318103040 1345563520 1346402400 1349768406 1377314700 1406853120 1436162560 1441675200 1469135680 1509043200 1537786880 1538745600 1542592464 1606867150 1610649600 1614676224 1641328640 1647628800 1681954400 1723395072 1724620800 1757470720 1758566400 1762962816 1795203200 1799691208 1836419600 1845344256 1922233600 1928240580 1969594368 2012057600 2018345280 2051660800 2056789952 2152901632 2154243840 2196838400 2203703520 2249614010 2297860096 2306680320 2344755200 2350617088 2410300725 2414469120 2460459008 2461992960 2522931600 2570987440 2636206080 2691127040 2692804800 2699536812 2754629400 2872325120 2883350400 2938271360 3018086400 3075573760 3077491200 3085184928 3213734300 3221299200 3229352448 3282657280 3295257600 3363908800 3374421015 3446790144 3517132800 3525925632 3590406400 3599382416 3672839200 3690688512 3844467200 3856481160 4024115200 4036690560 4103321600 4113579904 4305803264 4308487680 4393676800 4407407040 4499228020 4595720192 4613360640 4701234176 4820601450 4923985920 5045863200 5141974880 5272412160 5382254080 5385609600 5399073624 5509258800 5624035025 5744650240 5766700800 5876542720 6036172800 6151147520 6154982400 6170369856 6427468600 6458704896 6590515200 6727817600 6748842030 6893580288 7034265600 7051851264 7180812800 7198764832 7345678400 7381377024 7688934400 7712962320 8073381120 8206643200 8227159808 8611606528 8616975360 8787353600 8814814080 8998456040 9226721280 9402468352 9641202900 9847971840 10091726400 10283949760 10764508160 10771219200 10798147248 11018517600 11248070050 11489300480 11533401600 11753085440 12072345600 12302295040 12309964800 12340739712 12854937200 12917409792 13181030400 13455635200 13497684060 13787160576 14103702528 14361625600 14397529664 14691356800 15377868800 15425924640 16146762240 16413286400 16454319616 16872105075 17223213056 17233950720 17629628160 17996912080 18453442560 18804936704 19282405800 20183452800 20567899520 21529016320 21542438400 21596294496 22037035200 22496140100 22978600960 23066803200 23506170880 24619929600 24681479424 25709874400 25834819584 26362060800 26911270400 26995368120 28207405056 28723251200 28795059328 29382713600 30755737600 30851849280 32293524480 32908639232 33744210150 34467901440 35259256320 35993824160 36906885120 37609873408 38564811600 40366905600 41135799040 43058032640 43084876800 43192588992 44074070400 44992280200 46133606400 47012341760 49239859200 49362958848 51419748800 51669639168 53822540800 53990736240 56414810112 57446502400 57590118656 58765427200 61511475200 61703698560 64587048960 65817278464 67488420300 68935802880 70518512640 71987648320 77129623200 80733811200 82271598080 86116065280 86169753600 86385177984 88148140800 89984560400 92267212800 94024683520 98725917696 102839497600 107645081600 107981472480 112829620224 114893004800 115180237312 117530854400 123407397120 129174097920 131634556928 134976840600 141037025280 143975296640 154259246400 161467622400 164543196160 172339507200 172770355968 176296281600 179969120800 184534425600 188049367040 197451835392 205678995200 215290163200 215962944960 230360474624 235061708800 246814794240 258348195840 263269113856 269953681200 282074050560 287950593280 308518492800 322935244800 329086392320 344679014400 345540711936 352592563200 359938241600 394903670784 411357990400 430580326400 431925889920 460720949248 470123417600 493629588480 539907362400 564148101120 575901186560 617036985600 645870489600 658172784640 691081423872 705185126400 719876483200 789807341568 822715980800 863851779840 921441898496 940246835200 987259176960 1079814724800 1151802373120 1234073971200 1291740979200 1316345569280 1382162847744 1410370252800 1439752966400 1645431961600 1727703559680 1842883796992 1974518353920 2159629449600 2303604746240 2468147942400 2764325695488 2820740505600 2879505932800 3290863923200 3455407119360 3949036707840 4319258899200 4607209492480 4936295884800 5528651390976 5759011865600 6581727846400 6910814238720 8638517798400 9214418984960 9872591769600 11518023731200 13821628477440 17277035596800 19745183539200 23036047462400 27643256954880 34554071193600 46072094924800 69108142387200 138216284774400
• Sum of all divisors σ(n): 537973816050216
• Sum of proper divisors (its aliquot sum) s(n): 399757531275816
• 138216284774400 is an abundant number, because the sum of its proper divisors (399757531275816) is greater than itself. Its abundance is 261541246501416

Bases of 138216284774400

• Binary: 11111011011010011111100100011100110000000000000₂
• Hexadecimal: 0x7DB4FC8E6000
• Base-36: 1CZRONBDHC

Squares and roots of 138216284774400

• 138216284774400 squared (138216284774400²) is 19103741376838037258895360000
• 138216284774400 cubed (138216284774400³) is 2640448158397534502001438657330806784000000
• The square root of 138216284774400 is 11756542.2116539011
• The cube root of 138216284774400 is 51703.4756263511

Scales and comparisons

• 138,216,284,774,400 seconds is equal to 4,394,850 years, 16 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 138,216,284,774,400 would take you about ten million, nine hundred eighty-seven thousand, one hundred twenty-five 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 138216284774400 cubic inches would be around 4308.6 feet tall.

Recreational maths with 138216284774400

• 138216284774400 backwards is 004477482612831
• The number of decimal digits it has is: 15
• The sum of 138216284774400's digits is 57
• More coming soon!