138420840038400
138,420,840,038,400 is an even composite number composed of five prime numbers multiplied together.
138420840038400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138420840038400:
224 × 33 × 52 × 17 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 719)See below for interesting mathematical facts about the number 138420840038400 from the Numbermatics database.
Names of 138420840038400
- Cardinal: 138420840038400 can be written as One hundred thirty-eight trillion, four hundred twenty billion, eight hundred forty million, thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.384208400384 × 1014
Factors of 138420840038400
Divisors of 138420840038400
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 340 360 384 400 408 425 432 450 459 480 510 512 540 544 576 600 612 640 675 680 719 720 765 768 800 816 850 864 900 918 960 1020 1024 1080 1088 1152 1200 1224 1275 1280 1350 1360 1438 1440 1530 1536 1600 1632 1700 1728 1800 1836 1920 2040 2048 2157 2160 2176 2295 2304 2400 2448 2550 2560 2700 2720 2876 2880 3060 3072 3200 3264 3400 3456 3595 3600 3672 3825 3840 4080 4096 4314 4320 4352 4590 4608 4800 4896 5100 5120 5400 5440 5752 5760 6120 6144 6400 6471 6528 6800 6912 7190 7200 7344 7650 7680 8160 8192 8628 8640 8704 9180 9216 9600 9792 10200 10240 10785 10800 10880 11475 11504 11520 12223 12240 12288 12800 12942 13056 13600 13824 14380 14400 14688 15300 15360 16320 16384 17256 17280 17408 17975 18360 18432 19200 19413 19584 20400 20480 21570 21600 21760 22950 23008 23040 24446 24480 24576 25600 25884 26112 27200 27648 28760 28800 29376 30600 30720 32355 32640 32768 34512 34560 34816 35950 36669 36720 36864 38400 38826 39168 40800 40960 43140 43200 43520 45900 46016 46080 48892 48960 49152 51200 51768 52224 53925 54400 55296 57520 57600 58752 61115 61200 61440 64710 65280 65536 69024 69120 69632 71900 73338 73440 73728 76800 77652 78336 81600 81920 86280 86400 87040 91800 92032 92160 97065 97784 97920 98304 102400 103536 104448 107850 108800 110007 110592 115040 115200 117504 122230 122400 122880 129420 130560 131072 138048 138240 139264 143800 146676 146880 147456 153600 155304 156672 161775 163200 163840 172560 172800 174080 183345 183600 184064 184320 194130 195568 195840 196608 204800 207072 208896 215700 217600 220014 221184 230080 230400 235008 244460 244800 245760 258840 261120 262144 276096 276480 278528 287600 293352 293760 294912 305575 307200 310608 313344 323550 326400 327680 330021 345120 345600 348160 366690 367200 368128 368640 388260 391136 391680 393216 409600 414144 417792 431400 435200 440028 442368 460160 460800 470016 485325 488920 489600 491520 517680 522240 524288 550035 552192 552960 557056 575200 586704 587520 589824 611150 614400 621216 626688 647100 652800 655360 660042 690240 691200 696320 733380 734400 736256 737280 776520 782272 783360 786432 819200 828288 835584 862800 870400 880056 884736 916725 920320 921600 940032 970650 977840 979200 983040 1035360 1044480 1048576 1100070 1104384 1105920 1114112 1150400 1173408 1175040 1179648 1222300 1228800 1242432 1253376 1294200 1305600 1310720 1320084 1380480 1382400 1392640 1466760 1468800 1472512 1474560 1553040 1564544 1566720 1572864 1638400 1650105 1656576 1671168 1725600 1740800 1760112 1769472 1833450 1840640 1843200 1880064 1941300 1955680 1958400 1966080 2070720 2088960 2097152 2200140 2208768 2211840 2228224 2300800 2346816 2350080 2359296 2444600 2457600 2484864 2506752 2588400 2611200 2621440 2640168 2750175 2760960 2764800 2785280 2933520 2937600 2945024 2949120 3106080 3129088 3133440 3145728 3276800 3300210 3313152 3342336 3451200 3481600 3520224 3538944 3666900 3681280 3686400 3760128 3882600 3911360 3916800 3932160 4141440 4177920 4194304 4400280 4417536 4423680 4456448 4601600 4693632 4700160 4718592 4889200 4915200 4969728 5013504 5176800 5222400 5242880 5280336 5500350 5521920 5529600 5570560 5867040 5875200 5890048 5898240 6212160 6258176 6266880 6291456 6553600 6600420 6626304 6684672 6902400 6963200 7040448 7077888 7333800 7362560 7372800 7520256 7765200 7822720 7833600 7864320 8250525 8282880 8355840 8388608 8800560 8835072 8847360 8912896 9203200 9387264 9400320 9437184 9778400 9830400 9939456 10027008 10353600 10444800 10485760 10560672 11000700 11043840 11059200 11141120 11734080 11750400 11780096 11796480 12424320 12516352 12533760 12582912 13107200 13200840 13252608 13369344 13804800 13926400 14080896 14155776 14667600 14725120 14745600 15040512 15530400 15645440 15667200 15728640 16501050 16565760 16711680 16777216 17601120 17670144 17694720 17825792 18406400 18774528 18800640 18874368 19556800 19660800 19878912 20054016 20707200 20889600 20971520 21121344 22001400 22087680 22118400 22282240 23468160 23500800 23560192 23592960 24848640 25032704 25067520 25165824 26214400 26401680 26505216 26738688 27609600 27852800 28161792 28311552 29335200 29450240 29491200 30081024 31060800 31290880 31334400 31457280 33002100 33131520 33423360 35202240 35340288 35389440 35651584 36812800 37549056 37601280 37748736 39113600 39321600 39757824 40108032 41414400 41779200 41943040 42242688 44002800 44175360 44236800 44564480 46936320 47001600 47120384 47185920 49697280 50065408 50135040 50331648 52428800 52803360 53010432 53477376 55219200 55705600 56323584 56623104 58670400 58900480 58982400 60162048 62121600 62581760 62668800 62914560 66004200 66263040 66846720 70404480 70680576 70778880 71303168 73625600 75098112 75202560 75497472 78227200 78643200 79515648 80216064 82828800 83558400 83886080 84485376 88005600 88350720 88473600 89128960 93872640 94003200 94240768 94371840 99394560 100130816 100270080 104857600 105606720 106020864 106954752 110438400 111411200 112647168 113246208 117340800 117800960 117964800 120324096 124243200 125163520 125337600 125829120 132008400 132526080 133693440 140808960 141361152 141557760 142606336 147251200 150196224 150405120 150994944 156454400 157286400 159031296 160432128 165657600 167116800 168970752 176011200 176701440 176947200 178257920 187745280 188006400 188481536 188743680 198789120 200261632 200540160 209715200 211213440 212041728 213909504 220876800 222822400 225294336 226492416 234681600 235601920 235929600 240648192 248486400 250327040 250675200 251658240 264016800 265052160 267386880 281617920 282722304 283115520 285212672 294502400 300392448 300810240 312908800 314572800 318062592 320864256 331315200 334233600 337941504 352022400 353402880 353894400 356515840 375490560 376012800 376963072 377487360 397578240 400523264 401080320 419430400 422426880 424083456 427819008 441753600 445644800 450588672 452984832 469363200 471203840 471859200 481296384 496972800 500654080 501350400 528033600 530104320 534773760 563235840 565444608 566231040 589004800 600784896 601620480 625817600 629145600 636125184 641728512 662630400 668467200 675883008 704044800 706805760 707788800 713031680 750981120 752025600 753926144 754974720 795156480 801046528 802160640 844853760 848166912 855638016 883507200 891289600 901177344 938726400 942407680 943718400 962592768 993945600 1001308160 1002700800 1056067200 1060208640 1069547520 1126471680 1130889216 1132462080 1178009600 1201569792 1203240960 1251635200 1258291200 1272250368 1283457024 1325260800 1336934400 1351766016 1408089600 1413611520 1415577600 1426063360 1501962240 1504051200 1507852288 1590312960 1602093056 1604321280 1689707520 1696333824 1767014400 1782579200 1802354688 1877452800 1884815360 1887436800 1925185536 1987891200 2002616320 2005401600 2112134400 2120417280 2139095040 2252943360 2261778432 2264924160 2356019200 2403139584 2406481920 2503270400 2544500736 2566914048 2650521600 2673868800 2703532032 2816179200 2827223040 2831155200 3003924480 3008102400 3015704576 3180625920 3204186112 3208642560 3379415040 3392667648 3534028800 3565158400 3604709376 3754905600 3769630720 3774873600 3850371072 3975782400 4005232640 4010803200 4224268800 4240834560 4278190080 4505886720 4523556864 4712038400 4806279168 4812963840 5006540800 5089001472 5301043200 5347737600 5407064064 5632358400 5654446080 5662310400 6007848960 6016204800 6031409152 6361251840 6408372224 6417285120 6758830080 6785335296 7068057600 7130316800 7209418752 7509811200 7539261440 7700742144 7951564800 8010465280 8021606400 8448537600 8481669120 9011773440 9047113728 9424076800 9612558336 9625927680 10013081600 10178002944 10602086400 10695475200 10814128128 11264716800 11308892160 11324620800 12015697920 12032409600 12062818304 12722503680 12816744448 12834570240 13517660160 13570670592 14136115200 14418837504 15019622400 15078522880 15903129600 16020930560 16043212800 16897075200 16963338240 18023546880 18094227456 18848153600 19225116672 19251855360 20026163200 20356005888 21204172800 21390950400 21628256256 22529433600 22617784320 24031395840 24064819200 25445007360 25633488896 27035320320 27141341184 28272230400 28837675008 30039244800 30157045760 31806259200 32041861120 32086425600 33794150400 33926676480 36047093760 36188454912 37696307200 38450233344 38503710720 40052326400 40712011776 42408345600 43256512512 45058867200 45235568640 48062791680 48129638400 50890014720 51266977792 54070640640 54282682368 56544460800 57675350016 60078489600 60314091520 63612518400 64083722240 64172851200 67588300800 67853352960 72094187520 75392614400 76900466688 80104652800 81424023552 84816691200 86513025024 90117734400 90471137280 96125583360 96259276800 101780029440 102533955584 108141281280 108565364736 113088921600 115350700032 120156979200 127225036800 128167444480 135176601600 135706705920 144188375040 150785228800 153800933376 160209305600 162848047104 169633382400 173026050048 180235468800 180942274560 192251166720 192518553600 203560058880 205067911168 216282562560 226177843200 230701400064 240313958400 254450073600 256334888960 270353203200 271413411840 288376750080 301570457600 307601866752 320418611200 325696094208 339266764800 346052100096 360470937600 384502333440 407120117760 432565125120 452355686400 461402800128 480627916800 508900147200 512669777920 540706406400 542826823680 576753500160 615203733504 640837222400 678533529600 692104200192 720941875200 769004666880 814240235520 865130250240 904711372800 922805600256 961255833600 1017800294400 1025339555840 1081412812800 1153507000320 1281674444800 1357067059200 1384208400384 1441883750400 1538009333760 1628480471040 1730260500480 1845611200512 1922511667200 2035600588800 2162825625600 2307014000640 2563348889600 2714134118400 2768416800768 2883767500800 3076018667520 3460521000960 3845023334400 4071201177600 4325651251200 4614028001280 5126697779200 5536833601536 5767535001600 6921042001920 7690046668800 8142402355200 8651302502400 9228056002560 11535070003200 13842084003840 15380093337600 17302605004800 23070140006400 27684168007680 34605210009600 46140280012800 69210420019200 138420840038400
- Sum of all divisors σ(n): 539233127942400
- Sum of proper divisors (its aliquot sum) s(n): 400812287904000
- 138420840038400 is an abundant number, because the sum of its proper divisors (400812287904000) is greater than itself. Its abundance is 262391447865600
Bases of 138420840038400
- Binary: 111110111100100100111010000000000000000000000002
- Hexadecimal: 0x7DE49D000000
- Base-36: 1D2DNM8LC0
Squares and roots of 138420840038400
- 138420840038400 squared (1384208400384002) is 19160328956936320513474560000
- 138420840038400 cubed (1384208400384003) is 2652188829631205943930734621547823104000000
-
The
square root of 138420840038400 is 11765238.6307460845 -
The
cube root of 138420840038400 is 51728.9694985861
Scales and comparisons
How big is 138420840038400?- 138,420,840,038,400 seconds is equal to 4,401,354 years, 28 weeks, 4 days.
-
To count from 1 to 138,420,840,038,400 would take you about eleven million, three thousand, three hundred eighty-six 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 138420840038400 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138420840038400
- 138420840038400 backwards is 004830048024831
- 138420840038400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138420840038400's digits is 45
- More coming soon!
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The information we have on file for 138420840038400 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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