138108408422400
138,108,408,422,400 is an even composite number composed of seven prime numbers multiplied together.
138108408422400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138108408422400:
213 × 32 × 52 × 13 × 41 × 257 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 41 × 257 × 547)See below for interesting mathematical facts about the number 138108408422400 from the Numbermatics database.
Names of 138108408422400
- Cardinal: 138108408422400 can be written as One hundred thirty-eight trillion, one hundred eight billion, four hundred eight million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.381084084224 × 1014
Factors of 138108408422400
Divisors of 138108408422400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 64 65 72 75 78 80 82 90 96 100 104 117 120 123 128 130 144 150 156 160 164 180 192 195 200 205 208 225 234 240 246 256 257 260 288 300 312 320 325 328 360 369 384 390 400 410 416 450 468 480 492 512 514 520 533 547 576 585 600 615 624 640 650 656 720 738 768 771 780 800 820 832 900 936 960 975 984 1024 1025 1028 1040 1066 1094 1152 1170 1200 1230 1248 1280 1285 1300 1312 1440 1476 1536 1542 1560 1599 1600 1640 1641 1664 1800 1845 1872 1920 1950 1968 2048 2050 2056 2080 2132 2188 2304 2313 2340 2400 2460 2496 2560 2570 2600 2624 2665 2735 2880 2925 2952 3072 3075 3084 3120 3198 3200 3280 3282 3328 3341 3600 3690 3744 3840 3855 3900 3936 4096 4100 4112 4160 4264 4376 4608 4626 4680 4797 4800 4920 4923 4992 5120 5140 5200 5248 5330 5470 5760 5850 5904 6144 6150 6168 6240 6396 6400 6425 6560 6564 6656 6682 7111 7200 7380 7488 7680 7710 7800 7872 7995 8192 8200 8205 8224 8320 8528 8752 9216 9225 9252 9360 9594 9600 9840 9846 9984 10023 10240 10280 10400 10496 10537 10660 10940 11520 11565 11700 11808 12288 12300 12336 12480 12792 12800 12850 13120 13128 13312 13325 13364 13675 14222 14400 14760 14976 15360 15420 15600 15744 15990 16400 16410 16448 16640 16705 17056 17504 18432 18450 18504 18720 19188 19200 19275 19680 19692 19968 20046 20480 20560 20800 20992 21074 21320 21333 21880 22427 23040 23130 23400 23616 23985 24576 24600 24615 24672 24960 25584 25600 25700 26240 26256 26624 26650 26728 27350 28444 28800 29520 29952 30069 30720 30840 31200 31488 31611 31980 32800 32820 32896 33280 33410 34112 35008 35555 36864 36900 37008 37440 38376 38400 38550 39360 39384 39936 39975 40092 40960 41025 41120 41600 41984 42148 42640 42666 43760 44854 46080 46260 46800 47232 47970 49200 49230 49344 49920 50115 51168 51200 51400 52480 52512 52685 53248 53300 53456 54700 56888 57600 57825 59040 59904 60138 61440 61680 62400 62976 63222 63960 63999 65600 65640 65792 66560 66820 67281 68224 70016 71110 73728 73800 74016 74880 76752 76800 77100 78720 78768 79872 79950 80184 82050 82240 83200 83525 83968 84296 85280 85332 87520 89708 92160 92520 93600 94464 94833 95940 98400 98460 98688 99840 100230 102336 102400 102800 104960 105024 105370 106496 106600 106665 106912 109400 112135 113776 115200 115650 118080 119808 119925 120276 122880 123075 123360 124800 125952 126444 127920 127998 131200 131280 131584 133120 133640 134562 136448 136981 140032 140579 142220 147600 148032 149760 150345 153504 153600 154200 157440 157536 158055 159744 159900 160368 164100 164480 166400 167050 167936 168592 170560 170664 175040 177775 179416 184320 185040 187200 188928 189666 191880 196800 196920 197376 199680 200460 201843 204672 204800 205600 209920 210048 210740 213200 213330 213824 218800 224270 227552 230400 231300 236160 239616 239850 240552 246150 246720 249600 250575 251904 252888 255840 255996 262400 262560 263168 263425 266240 267280 269124 272896 273962 280064 281158 284440 291551 295200 296064 299520 300690 307008 307200 308400 314880 315072 316110 319488 319800 319995 320736 328200 328960 332800 334100 335872 336405 337184 341120 341328 350080 355550 358832 368640 370080 374400 377856 379332 383760 393600 393840 394752 399360 400920 403686 409344 410943 411200 419840 420096 421480 421737 426400 426660 427648 437600 448540 455104 460800 462600 472320 474165 479232 479700 481104 492300 493440 499200 501150 503808 505776 511680 511992 524800 525120 526336 526850 532480 533325 534560 538248 545792 547924 560128 560675 562316 568880 583102 590400 592128 599040 601380 614016 614400 616800 629760 630144 632220 639600 639990 641472 656400 657920 665600 668200 672810 674368 682240 682656 684905 700160 702895 711100 717664 740160 748800 751725 755712 758664 767520 787200 787680 789504 790275 798720 801840 807372 818688 821886 822400 839680 840192 842960 843474 852800 853320 855296 874653 875200 897080 910208 921600 925200 944640 948330 958464 959400 962208 984600 986880 998400 1002300 1007616 1009215 1011552 1023360 1023984 1049600 1050240 1052672 1053700 1066650 1069120 1076496 1091584 1095848 1120256 1121350 1124632 1137760 1166204 1180800 1184256 1198080 1202760 1228032 1232829 1233600 1259520 1260288 1264440 1265211 1279200 1279980 1282944 1312800 1315840 1331200 1336400 1345620 1348736 1364480 1365312 1369810 1400320 1405790 1422200 1435328 1457755 1480320 1497600 1503450 1511424 1517328 1535040 1574400 1575360 1579008 1580550 1597440 1599975 1603680 1614744 1637376 1643772 1644800 1679360 1680384 1682025 1685920 1686948 1705600 1706640 1710592 1749306 1750400 1794160 1820416 1827527 1843200 1850400 1889280 1896660 1918800 1924416 1969200 1973760 1996800 2004600 2018430 2023104 2046720 2047968 2054715 2099200 2100480 2105344 2107400 2108685 2133300 2138240 2152992 2183168 2191696 2240512 2242700 2249264 2275520 2332408 2361600 2368512 2370825 2396160 2405520 2456064 2465658 2467200 2519040 2520576 2528880 2530422 2558400 2559960 2565888 2623959 2625600 2631680 2662400 2672800 2691240 2697472 2728960 2730624 2739620 2800640 2811580 2844400 2870656 2915510 2960640 2995200 3006900 3022848 3034656 3070080 3148800 3150720 3158016 3161100 3199950 3207360 3229488 3274752 3287544 3289600 3360768 3364050 3371840 3373896 3411200 3413280 3421184 3424525 3498612 3500800 3514475 3588320 3640832 3655054 3700800 3778560 3793320 3837600 3848832 3938400 3947520 3993600 4009200 4036860 4046208 4093440 4095936 4109430 4198400 4200960 4214800 4217370 4266600 4276480 4305984 4366336 4373265 4383392 4481024 4485400 4498528 4551040 4664816 4723200 4737024 4741650 4792320 4811040 4912128 4931316 4934400 5038080 5041152 5046075 5057760 5060844 5116800 5119920 5131776 5247918 5251200 5263360 5345600 5382480 5394944 5457920 5461248 5479240 5482581 5601280 5623160 5688800 5741312 5763739 5831020 5921280 5990400 6013800 6069312 6140160 6164145 6297600 6301440 6316032 6322200 6326055 6399900 6414720 6458976 6549504 6575088 6579200 6721536 6728100 6743680 6747792 6822400 6826560 6842368 6849050 6997224 7001600 7028950 7176640 7281664 7288775 7310108 7401600 7557120 7586640 7675200 7697664 7876800 7895040 7987200 8018400 8073720 8092416 8186880 8191872 8218860 8396800 8401920 8429600 8434740 8533200 8552960 8611968 8746530 8766784 8970800 8997056 9102080 9137635 9329632 9446400 9474048 9483300 9622080 9824256 9862632 9868800 10082304 10092150 10115520 10121688 10233600 10239840 10263552 10273575 10495836 10502400 10526720 10543425 10691200 10764960 10789888 10915840 10922496 10958480 10965162 11202560 11246320 11377600 11482624 11527478 11662040 11842560 11980800 12027600 12138624 12280320 12328290 12595200 12602880 12644400 12652110 12799800 12829440 12917952 13099008 13119795 13150176 13158400 13443072 13456200 13487360 13495584 13644800 13653120 13684736 13698100 13994448 14003200 14057900 14353280 14563328 14577550 14620216 14803200 15114240 15173280 15350400 15395328 15753600 15790080 16036800 16147440 16184832 16373760 16383744 16437720 16447743 16803840 16859200 16869480 17066400 17105920 17223936 17291217 17493060 17533568 17941600 17994112 18204160 18275270 18659264 18892800 18948096 18966600 19244160 19648512 19725264 19737600 20164608 20184300 20231040 20243376 20467200 20479680 20527104 20547150 20991672 21004800 21086850 21382400 21529920 21579776 21831680 21844992 21866325 21916960 21930324 22405120 22492640 22755200 22965248 23054956 23324080 23685120 23961600 24055200 24277248 24560640 24656580 25190400 25205760 25288800 25304220 25599600 25658880 25835904 26239590 26300352 26316800 26912400 26974720 26991168 27289600 27306240 27369472 27396200 27412905 27988896 28006400 28115800 28706560 28818695 29126656 29155100 29240432 29606400 30346560 30700800 30790656 30820725 31507200 31580160 31630275 32073600 32294880 32369664 32747520 32767488 32875440 32895486 33607680 33718400 33738960 34132800 34211840 34447872 34582434 34986120 35067136 35883200 35988224 36408320 36550540 37318528 37785600 37933200 38488320 39297024 39450528 39475200 40329216 40368600 40462080 40486752 40934400 40959360 41054208 41094300 41983344 42009600 42173700 42764800 43059840 43159552 43689984 43732650 43833920 43860648 44985280 45510400 45688175 45930496 46109912 46648160 47370240 48110400 48554496 49121280 49313160 50411520 50577600 50608440 51199200 51317760 51671808 51873651 52479180 52600704 52633600 53824800 53949440 53982336 54579200 54612480 54792400 54825810 55977792 56012800 56231600 57413120 57637390 58253312 58310200 58480864 59212800 60693120 61401600 61581312 61641450 63014400 63260550 64147200 64589760 64739328 65495040 65534976 65598975 65750880 65790972 67215360 67436800 67477920 68265600 68423680 68895744 69164868 69972240 70134272 71766400 71976448 72816640 73101080 74637056 74928607 75571200 75866400 76976640 78901056 78950400 80737200 80924160 80973504 81868800 81918720 82108416 82188600 82238715 83966688 84019200 84347400 85529600 86119680 86319104 86456085 87379968 87465300 87667840 87721296 89970560 91020800 91376350 91860992 92219824 93296320 94740480 96220800 97108992 98242560 98626320 100823040 101155200 101216880 102398400 102635520 103343616 103747302 104958360 105201408 107649600 107898880 107964672 109158400 109224960 109584800 109651620 111955584 112025600 112463200 114826240 115274780 116620400 116961728 118425600 121386240 122803200 123162624 123282900 126028800 126521100 128294400 129179520 129478656 131069952 131197950 131501760 131581944 134873600 134955840 136531200 136847360 137064525 137791488 138329736 139944480 140268544 143532800 143952896 144093475 145633280 146202160 149274112 149857214 151732800 153953280 157802112 157900800 161474400 161848320 161947008 163737600 163837440 164377200 164477430 167933376 168038400 168694800 171059200 172239360 172912170 174759936 174930600 175335680 175442592 179941120 182041600 182752700 183721984 184439648 186592640 192441600 194217984 196485120 197252640 201646080 202310400 202433760 204796800 205271040 206687232 207494604 209916720 210402816 215299200 215797760 215929344 218449920 219169600 219303240 223911168 224785821 224926400 229652480 230549560 233240800 233923456 236851200 242772480 245606400 246325248 246565800 252057600 253042200 256588800 258359040 258957312 259368255 262139904 262395900 263003520 263163888 269747200 269911680 273062400 274129050 275582976 276659472 279888960 280537088 287065600 287905792 288186950 291266560 292404320 298548224 299714428 303465600 307906560 315604224 322948800 323696640 323894016 327475200 327674880 328754400 328954860 335866752 336076800 337389600 342118400 344478720 345824340 349861200 350671360 350885184 359882240 364083200 365505400 368879296 373185280 374643035 384883200 388435968 394505280 404620800 404867520 409593600 410542080 411193575 413374464 414989208 419833440 420805632 430598400 431595520 431858688 432280425 436899840 438339200 438606480 447822336 449571642 449852800 459304960 461099120 466481600 467846912 473702400 485544960 491212800 493131600 504115200 506084400 513177600 516718080 518736510 524279808 524791800 526007040 526327776 539494400 539823360 546124800 548258100 551165952 553318944 559777920 561074176 574131200 575811584 576373900 584808640 597096448 599428856 606931200 615813120 631208448 645897600 647393280 647788032 655349760 657508800 657909720 671733504 674357463 674779200 684236800 688957440 691648680 699722400 701342720 701770368 719764480 728166400 731010800 737758592 746370560 749286070 769766400 776871936 789010560 809241600 809735040 819187200 822387150 826748928 829978416 839666880 841611264 861196800 863717376 864560850 873799680 876678400 877212960 895644672 899143284 899705600 918609920 922198240 932963200 935693824 971089920 982425600 986263200 1008230400 1012168800 1026355200 1033436160 1037473020 1049583600 1052014080 1052655552 1078988800 1079646720 1092249600 1096516200 1106637888 1119555840 1122148352 1123929105 1148262400 1151623168 1152747800 1169617280 1194192896 1198857712 1213862400 1231626240 1262416896 1291795200 1294786560 1295576064 1296841275 1310699520 1315017600 1315819440 1343467008 1348714926 1349558400 1377914880 1383297360 1399444800 1402685440 1403540736 1439528960 1456332800 1462021600 1475517184 1492741120 1498572140 1539532800 1578021120 1618483200 1619470080 1638374400 1644774300 1653497856 1659956832 1679333760 1683222528 1722393600 1727434752 1729121700 1753356800 1754425920 1791289344 1798286568 1799411200 1844396480 1865926400 1871387648 1873215175 1942179840 1972526400 2024337600 2052710400 2066872320 2074946040 2099167200 2104028160 2105311104 2157977600 2159293440 2184499200 2193032400 2213275776 2239111680 2247858210 2296524800 2305495600 2339234560 2388385792 2397715424 2427724800 2524833792 2583590400 2591152128 2593682550 2621399040 2630035200 2631638880 2686934016 2697429852 2699116800 2755829760 2766594720 2798889600 2805370880 2807081472 2879057920 2924043200 2951034368 2985482240 2997144280 3079065600 3156042240 3236966400 3238940160 3276748800 3289548600 3319913664 3358667520 3366445056 3371787315 3444787200 3454869504 3458243400 3506713600 3508851840 3582578688 3596573136 3598822400 3688792960 3731852800 3742775296 3746430350 3884359680 3945052800 4048675200 4133744640 4149892080 4198334400 4208056320 4210622208 4318586880 4368998400 4386064800 4426551552 4478223360 4495716420 4593049600 4610991200 4678469120 4795430848 4855449600 5049667584 5167180800 5182304256 5187365100 5260070400 5263277760 5373868032 5394859704 5398233600 5533189440 5597779200 5610741760 5614162944 5619645525 5758115840 5848086400 5902068736 5970964480 5994288560 6158131200 6312084480 6473932800 6477880320 6553497600 6579097200 6639827328 6717335040 6743574630 6889574400 6916486800 7013427200 7017703680 7165157376 7193146272 7197644800 7377585920 7463705600 7485550592 7492860700 7890105600 8097350400 8267489280 8299784160 8396668800 8416112640 8421244416 8637173760 8772129600 8853103104 8956446720 8991432840 9221982400 9356938240 9590861696 9710899200 10099335168 10334361600 10364608512 10374730200 10520140800 10526555520 10747736064 10789719408 10796467200 11066378880 11195558400 11228325888 11239291050 11696172800 11804137472 11941928960 11988577120 12624168960 12955760640 13106995200 13158194400 13279654656 13434670080 13487149260 13779148800 13832973600 14026854400 14035407360 14386292544 14395289600 14755171840 14927411200 14971101184 14985721400 15780211200 16194700800 16599568320 16793337600 16832225280 16842488832 16858936575 17274347520 17544259200 17706206208 17912893440 17982865680 18443964800 18713876480 19181723392 19421798400 20668723200 20749460400 21040281600 21053111040 21495472128 21579438816 21592934400 22132757760 22391116800 22456651776 22478582100 23392345600 23608274944 23977154240 25248337920 25911521280 26316388800 26559309312 26869340160 26974298520 27665947200 28053708800 28070814720 28772585088 28790579200 29510343680 29854822400 29971442800 31560422400 32389401600 33199136640 33586675200 33684977664 33717873150 35088518400 35412412416 35825786880 35965731360 36887929600 37427752960 38363446784 41337446400 41498920800 42080563200 42106222080 43158877632 43185868800 44265515520 44782233600 44913303552 44957164200 46784691200 47216549888 47954308480 50496675840 51823042560 52632777600 53118618624 53738680320 53948597040 55331894400 56141629440 57545170176 59020687360 59709644800 59942885600 63120844800 64778803200 66398273280 67173350400 67369955328 67435746300 70177036800 70824824832 71931462720 73775859200 74855505920 76726893568 82997841600 84161126400 84212444160 86317755264 86371737600 88531031040 89564467200 89914328400 93569382400 95908616960 105265555200 106237237248 107477360640 107897194080 110663788800 112283258880 115090340352 118041374720 119885771200 126241689600 129557606400 132796546560 134346700800 134739910656 134871492600 140354073600 141649649664 143862925440 147551718400 153453787136 165995683200 168424888320 172635510528 177062062080 179128934400 179828656800 187138764800 191817233920 210531110400 212474474496 215794388160 221327577600 224566517760 230180680704 236082749440 239771542400 252483379200 259115212800 265593093120 268693401600 269742985200 280708147200 287725850880 295103436800 306907574272 331991366400 336849776640 345271021056 354124124160 359657313600 374277529600 383634467840 421062220800 424948948992 431588776320 442655155200 460361361408 479543084800 531186186240 537386803200 539485970400 561416294400 575451701760 590206873600 613815148544 663982732800 673699553280 690542042112 708248248320 719314627200 767268935680 842124441600 863177552640 885310310400 920722722816 959086169600 1062372372480 1078971940800 1122832588800 1150903403520 1180413747200 1327965465600 1381084084224 1438629254400 1534537871360 1684248883200 1726355105280 1770620620800 1841445445632 1918172339200 2124744744960 2157943881600 2301806807040 2655930931200 2762168168448 2877258508800 3069075742720 3368497766400 3452710210560 3541241241600 3836344678400 4315887763200 4603613614080 5311861862400 5524336336896 5754517017600 6905420421120 7672689356800 8631775526400 9207227228160 10623723724800 11509034035200 13810840842240 15345378713600 17263551052800 23018068070400 27621681684480 34527102105600 46036136140800 69054204211200 138108408422400
- Sum of all divisors σ(n): 548878308477408
- Sum of proper divisors (its aliquot sum) s(n): 410769900055008
- 138108408422400 is an abundant number, because the sum of its proper divisors (410769900055008) is greater than itself. Its abundance is 272661491632608
Bases of 138108408422400
- Binary: 111110110011011110111101001111111100000000000002
- Hexadecimal: 0x7D9BDE9FE000
- Base-36: 1CYE4KIRK0
Squares and roots of 138108408422400
- 138108408422400 squared (1381084084224002) is 19073932476968447256821760000
- 138108408422400 cubed (1381084084224003) is 2634270456750437995143092534639591424000000
-
The
square root of 138108408422400 is 11751953.3875181787 -
The
cube root of 138108408422400 is 51690.0207862159
Scales and comparisons
How big is 138108408422400?- 138,108,408,422,400 seconds is equal to 4,391,420 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 138,108,408,422,400 would take you about ten million, nine hundred seventy-eight thousand, five hundred fifty 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 138108408422400 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138108408422400
- 138108408422400 backwards is 004224804801831
- 138108408422400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138108408422400's digits is 45
- More coming soon!
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"Number 138108408422400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138108408422400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138108408422400/
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The information we have on file for 138108408422400 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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