138442575052800
138,442,575,052,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138442575052800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138442575052800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138442575052800:
217 × 32 × 52 × 23 × 53 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 53 × 3851)See below for interesting mathematical facts about the number 138442575052800 from the Numbermatics database.
Names of 138442575052800
- Cardinal: 138442575052800 can be written as One hundred thirty-eight trillion, four hundred forty-two billion, five hundred seventy-five million, fifty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384425750528 × 1014
Factors of 138442575052800
Divisors of 138442575052800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 53 60 64 69 72 75 80 90 92 96 100 106 115 120 128 138 144 150 159 160 180 184 192 200 207 212 225 230 240 256 265 276 288 300 318 320 345 360 368 384 400 414 424 450 460 477 480 512 530 552 575 576 600 636 640 690 720 736 768 795 800 828 848 900 920 954 960 1024 1035 1060 1104 1150 1152 1200 1219 1272 1280 1325 1380 1440 1472 1536 1590 1600 1656 1696 1725 1800 1840 1908 1920 2048 2070 2120 2208 2300 2304 2385 2400 2438 2544 2560 2650 2760 2880 2944 3072 3180 3200 3312 3392 3450 3600 3657 3680 3816 3840 3851 3975 4096 4140 4240 4416 4600 4608 4770 4800 4876 5088 5120 5175 5300 5520 5760 5888 6095 6144 6360 6400 6624 6784 6900 7200 7314 7360 7632 7680 7702 7950 8192 8280 8480 8832 9200 9216 9540 9600 9752 10176 10240 10350 10600 10971 11040 11520 11553 11776 11925 12190 12288 12720 12800 13248 13568 13800 14400 14628 14720 15264 15360 15404 15900 16384 16560 16960 17664 18285 18400 18432 19080 19200 19255 19504 20352 20480 20700 21200 21942 22080 23040 23106 23552 23850 24380 24576 25440 25600 26496 27136 27600 28800 29256 29440 30475 30528 30720 30808 31800 32768 33120 33920 34659 35328 36570 36800 36864 38160 38400 38510 39008 40704 40960 41400 42400 43884 44160 46080 46212 47104 47700 48760 49152 50880 51200 52992 54272 54855 55200 57600 57765 58512 58880 60950 61056 61440 61616 63600 65536 66240 67840 69318 70656 73140 73600 73728 76320 76800 77020 78016 81408 81920 82800 84800 87768 88320 88573 91425 92160 92424 94208 95400 96275 97520 98304 101760 102400 105984 108544 109710 110400 115200 115530 117024 117760 121900 122112 122880 123232 127200 131072 132480 135680 138636 141312 146280 147200 147456 152640 153600 154040 156032 162816 163840 165600 169600 173295 175536 176640 177146 182850 184320 184848 188416 190800 192550 195040 196608 203520 204103 204800 211968 217088 219420 220800 230400 231060 234048 235520 243800 244224 245760 246464 254400 264960 265719 271360 274275 277272 282624 288825 292560 294400 294912 305280 307200 308080 312064 325632 327680 331200 339200 346590 351072 353280 354292 365700 368640 369696 376832 381600 385100 390080 393216 407040 408206 409600 423936 434176 438840 441600 442865 460800 462120 468096 471040 487600 488448 491520 492928 508800 529920 531438 542720 548550 554544 565248 577650 585120 588800 589824 610560 612309 614400 616160 624128 651264 655360 662400 678400 693180 702144 706560 708584 731400 737280 739392 753664 763200 770200 780160 797157 814080 816412 819200 847872 866475 868352 877680 883200 885730 921600 924240 936192 942080 975200 976896 983040 985856 1017600 1020515 1059840 1062876 1085440 1097100 1109088 1130496 1155300 1170240 1177600 1179648 1221120 1224618 1228800 1232320 1248256 1302528 1324800 1328595 1356800 1386360 1404288 1413120 1417168 1462800 1474560 1478784 1507328 1526400 1540400 1560320 1594314 1628160 1632824 1638400 1695744 1732950 1736704 1755360 1766400 1771460 1836927 1843200 1848480 1872384 1884160 1950400 1953792 1966080 1971712 2035200 2041030 2119680 2125752 2170880 2194200 2214325 2218176 2260992 2310600 2340480 2355200 2442240 2449236 2457600 2464640 2496512 2605056 2649600 2657190 2713600 2772720 2808576 2826240 2834336 2925600 2949120 2957568 3014656 3052800 3061545 3080800 3120640 3188628 3256320 3265648 3276800 3391488 3465900 3473408 3510720 3532800 3542920 3673854 3686400 3696960 3744768 3768320 3900800 3907584 3943424 3985785 4070400 4082060 4239360 4251504 4341760 4388400 4428650 4436352 4521984 4621200 4680960 4694369 4710400 4884480 4898472 4915200 4929280 4993024 5102575 5210112 5299200 5314380 5427200 5545440 5617152 5652480 5668672 5851200 5898240 5915136 6105600 6123090 6161600 6241280 6377256 6512640 6531296 6642975 6782976 6931800 6946816 7021440 7065600 7085840 7347708 7372800 7393920 7489536 7536640 7801600 7815168 7886848 7971570 8140800 8164120 8478720 8503008 8683520 8776800 8857300 8872704 9043968 9184635 9242400 9361920 9388738 9420800 9768960 9796944 9830400 9858560 9986048 10205150 10420224 10598400 10628760 10854400 11090880 11234304 11304960 11337344 11702400 11830272 12211200 12246180 12323200 12482560 12754512 13025280 13062592 13285950 13565952 13863600 14042880 14083107 14131200 14171680 14695416 14745600 14787840 14979072 15073280 15307725 15603200 15630336 15773696 15943140 16281600 16328240 16957440 17006016 17367040 17553600 17714600 17745408 18369270 18484800 18723840 18777476 18841600 19537920 19593888 19717120 19928925 19972096 20410300 20840448 21196800 21257520 21708800 22181760 22468608 22609920 22674688 23404800 23471845 23660544 24422400 24492360 24646400 24965120 25509024 26050560 26125184 26571900 27131904 27727200 28085760 28166214 28262400 28343360 29390832 29491200 29575680 29958144 30615450 31206400 31260672 31547392 31886280 32563200 32656480 33914880 34012032 34734080 35107200 35429200 35490816 36738540 36969600 37447680 37554952 37683200 39075840 39187776 39434240 39857850 39944192 40820600 42249321 42393600 42515040 43417600 44363520 44937216 45219840 45349376 45923175 46809600 46943690 47321088 48844800 48984720 49292800 49930240 51018048 52101120 52250368 53143800 55454400 56171520 56332428 56524800 56686720 58781664 59151360 59916288 61230900 62412800 62521344 63094784 63772560 65126400 65312960 67829760 68024064 70214400 70415535 70858400 70981632 73477080 73939200 74895360 75109904 75366400 78151680 78375552 78868480 79715700 79888384 81641200 84498642 84787200 85030080 86835200 88727040 89874432 90698752 91846350 93619200 93887380 94642176 97689600 97969440 98585600 99860480 102036096 104202240 104500736 106287600 110908800 112343040 112664856 113049600 113373440 117359225 117563328 118302720 119832576 122461800 124825600 126189568 127545120 130252800 130625920 135659520 136048128 140428800 140831070 141716800 141963264 146954160 147878400 149790720 150219808 156303360 156751104 157736960 159431400 159776768 163282400 168997284 169574400 170060160 173670400 177454080 179748864 181397504 183692700 187238400 187774760 189284352 195379200 195938880 197171200 199720960 204072192 209001472 211246605 212575200 221817600 224686080 225329712 226099200 226746880 234718450 235126656 236605440 239665152 244923600 249651200 252379136 255090240 260505600 261251840 272096256 280857600 281662140 283433600 283926528 293908320 295756800 299581440 300439616 312606720 313502208 315473920 318862800 326564800 337994568 339148800 340120320 352077675 354908160 359497728 362795008 367385400 374476800 375549520 378568704 390758400 391877760 394342400 399441920 408144384 418002944 422493210 425150400 443635200 449372160 450659424 453493760 469436900 470253312 473210880 479330304 489847200 499302400 504758272 510180480 521011200 522503680 544192512 561715200 563324280 566867200 567853056 587816640 591513600 599162880 600879232 627004416 630947840 637725600 653129600 675989136 678297600 680240640 704155350 709816320 718995456 725590016 734770800 748953600 751099040 757137408 781516800 783755520 788684800 798883840 816288768 836005888 844986420 850300800 887270400 898744320 901318848 906987520 938873800 940506624 946421760 979694400 998604800 1020360960 1045007360 1056233025 1088385024 1123430400 1126648560 1133734400 1135706112 1175633280 1183027200 1198325760 1201758464 1254008832 1261895680 1275451200 1306259200 1351978272 1360481280 1408310700 1419632640 1437990912 1451180032 1469541600 1497907200 1502198080 1514274816 1563033600 1567511040 1577369600 1632577536 1672011776 1689972840 1700601600 1774540800 1797488640 1802637696 1813975040 1877747600 1881013248 1892843520 1959388800 1997209600 2040721920 2090014720 2112466050 2176770048 2246860800 2253297120 2267468800 2271412224 2351266560 2366054400 2396651520 2403516928 2508017664 2523791360 2550902400 2612518400 2703956544 2720962560 2816621400 2839265280 2902360064 2939083200 2995814400 3004396160 3135022080 3154739200 3265155072 3344023552 3379945680 3401203200 3549081600 3594977280 3605275392 3627950080 3755495200 3762026496 3785687040 3918777600 3994419200 4081443840 4180029440 4224932100 4353540096 4493721600 4506594240 4534937600 4542824448 4702533120 4732108800 4807033856 5016035328 5101804800 5225036800 5407913088 5441925120 5633242800 5678530560 5804720128 5878166400 5991628800 6008792320 6270044160 6309478400 6530310144 6688047104 6759891360 6802406400 7098163200 7189954560 7210550784 7255900160 7510990400 7524052992 7571374080 7837555200 8162887680 8360058880 8449864200 8707080192 8987443200 9013188480 9069875200 9405066240 9464217600 9614067712 10032070656 10203609600 10450073600 10815826176 10883850240 11266485600 11357061120 11609440256 11756332800 11983257600 12017584640 12540088320 12618956800 13060620288 13376094208 13519782720 13604812800 14196326400 14421101568 14511800320 15021980800 15048105984 15675110400 16325775360 16720117760 16899728400 17414160384 17974886400 18026376960 18139750400 18810132480 18928435200 19228135424 20064141312 20407219200 20900147200 21631652352 21767700480 22532971200 22714122240 23512665600 24035169280 25080176640 26121240576 26752188416 27039565440 27209625600 28392652800 28842203136 29023600640 30043961600 30096211968 31350220800 32651550720 33440235520 33799456800 34828320768 35949772800 36052753920 36279500800 37620264960 37856870400 38456270848 40128282624 40814438400 41800294400 43263304704 43535400960 45065942400 47025331200 48070338560 50160353280 52242481152 54079130880 54419251200 56785305600 57684406272 58047201280 60087923200 60192423936 62700441600 65303101440 66880471040 67598913600 72105507840 72559001600 75240529920 76912541696 80256565248 81628876800 83600588800 86526609408 87070801920 90131884800 94050662400 96140677120 100320706560 104484962304 108158261760 108838502400 113570611200 115368812544 120175846400 120384847872 125400883200 130606202880 133760942080 135197827200 144211015680 145118003200 150481059840 153825083392 163257753600 167201177600 173053218816 174141603840 180263769600 188101324800 192281354240 200641413120 216316523520 217677004800 230737625088 240351692800 240769695744 250801766400 261212405760 270395654400 288422031360 290236006400 300962119680 307650166784 326515507200 334402355200 346106437632 360527539200 376202649600 384562708480 401282826240 432633047040 435354009600 461475250176 480703385600 501603532800 522424811520 540791308800 576844062720 601924239360 615300333568 653031014400 668804710400 692212875264 721055078400 752405299200 769125416960 865266094080 870708019200 922950500352 961406771200 1003207065600 1081582617600 1153688125440 1203848478720 1306062028800 1384425750528 1442110156800 1504810598400 1538250833920 1730532188160 1845901000704 1922813542400 2006414131200 2163165235200 2307376250880 2612124057600 2768851501056 2884220313600 3009621196800 3076501667840 3461064376320 3845627084800 4326330470400 4614752501760 5537703002112 5768440627200 6019242393600 6922128752640 7691254169600 8652660940800 9229505003520 11536881254400 13844257505280 15382508339200 17305321881600 23073762508800 27688515010560 34610643763200 46147525017600 69221287526400 138442575052800
- Sum of all divisors σ(n): 527393279544768
- Sum of proper divisors (its aliquot sum) s(n): 388950704491968
- 138442575052800 is an abundant number, because the sum of its proper divisors (388950704491968) is greater than itself. Its abundance is 250508129439168
Bases of 138442575052800
- Binary: 111110111101001101011001000001000000000000000002
- Hexadecimal: 0x7DE9AC820000
- Base-36: 1D2NN2PDS0
Squares and roots of 138442575052800
- 138442575052800 squared (1384425750528002) is 19166346587250160922787840000
- 138442575052800 cubed (1384425750528003) is 2653438375893357547121933245011197952000000
-
The
square root of 138442575052800 is 11766162.2907726375 -
The
cube root of 138442575052800 is 51731.6768728367
Scales and comparisons
How big is 138442575052800?- 138,442,575,052,800 seconds is equal to 4,402,045 years, 34 weeks, 16 hours.
-
To count from 1 to 138,442,575,052,800 would take you about eleven million, five thousand, one hundred fourteen 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 138442575052800 cubic inches would be around 4311 feet tall.
Recreational maths with 138442575052800
- 138442575052800 backwards is 008250575244831
- The number of decimal digits it has is: 15
- The sum of 138442575052800's digits is 54
- More coming soon!
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The information we have on file for 138442575052800 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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