2138201906400
2,138,201,906,400 is an even composite number composed of five prime numbers multiplied together.
2138201906400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 2138201906400:
25 × 37 × 52 × 74 × 509
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 509)See below for interesting mathematical facts about the number 2138201906400 from the Numbermatics database.
Names of 2138201906400
- Cardinal: 2138201906400 can be written as Two trillion, one hundred thirty-eight billion, two hundred one million, nine hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 2.1382019064 × 1012
Factors of 2138201906400
Divisors of 2138201906400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 135 140 144 147 150 160 162 168 175 180 189 196 200 210 216 224 225 240 243 245 252 270 280 288 294 300 315 324 336 343 350 360 378 392 400 405 420 432 441 450 480 486 490 504 509 525 540 560 567 588 600 630 648 672 675 686 700 720 729 735 756 784 800 810 840 864 882 900 945 972 980 1008 1018 1029 1050 1080 1120 1134 1176 1200 1215 1225 1260 1296 1323 1350 1372 1400 1440 1458 1470 1512 1527 1568 1575 1620 1680 1701 1715 1764 1800 1890 1944 1960 2016 2025 2036 2058 2100 2160 2187 2205 2268 2352 2400 2401 2430 2450 2520 2545 2592 2646 2700 2744 2800 2835 2916 2940 3024 3054 3087 3150 3240 3360 3402 3430 3528 3563 3600 3645 3675 3780 3888 3920 3969 4050 4072 4116 4200 4320 4374 4410 4536 4581 4704 4725 4802 4860 4900 5040 5090 5103 5145 5292 5400 5488 5600 5670 5832 5880 6048 6075 6108 6174 6300 6480 6615 6804 6860 7056 7126 7200 7203 7290 7350 7560 7635 7776 7840 7938 8100 8144 8232 8400 8505 8575 8748 8820 9072 9162 9261 9450 9604 9720 9800 10080 10180 10206 10290 10584 10689 10800 10935 10976 11025 11340 11664 11760 11907 12005 12150 12216 12348 12600 12725 12960 13230 13608 13720 13743 14112 14175 14252 14406 14580 14700 15120 15270 15309 15435 15876 16200 16288 16464 16800 17010 17150 17496 17640 17815 18144 18225 18324 18522 18900 19208 19440 19600 19845 20360 20412 20580 21168 21378 21600 21609 21870 22050 22680 22905 23328 23520 23814 24010 24300 24432 24696 24941 25200 25450 25515 25725 26460 27216 27440 27486 27783 28350 28504 28812 29160 29400 30240 30540 30618 30870 31752 32067 32400 32928 33075 34020 34300 34992 35280 35630 35721 36015 36450 36648 37044 37800 38175 38416 38880 39200 39690 40720 40824 41160 41229 42336 42525 42756 43218 43740 44100 45360 45810 46305 47628 48020 48600 48864 49392 49882 50400 50900 51030 51450 52920 53445 54432 54675 54880 54972 55566 56700 57008 57624 58320 58800 59535 60025 61080 61236 61740 63504 64134 64800 64827 66150 68040 68600 68715 69984 70560 71260 71442 72030 72900 73296 74088 74823 75600 76350 76545 76832 77175 79380 81440 81648 82320 82458 83349 85050 85512 86436 87480 88200 89075 90720 91620 92610 95256 96040 96201 97200 98784 99225 99764 101800 102060 102900 105840 106890 107163 108045 109350 109944 111132 113400 114016 114525 115248 116640 117600 119070 120050 122160 122472 123480 123687 124705 127008 127575 128268 129654 132300 136080 137200 137430 138915 142520 142884 144060 145800 146592 148176 149646 151200 152700 153090 154350 158760 160335 163296 164640 164916 166698 170100 171024 172872 174587 174960 176400 178150 178605 180075 183240 185220 190512 192080 192402 194400 194481 198450 199528 203600 204120 205800 206145 211680 213780 214326 216090 218700 219888 222264 224469 226800 229050 230496 231525 238140 240100 244320 244944 246960 247374 249410 250047 255150 256536 259308 264600 267225 272160 274400 274860 277830 285040 285768 288120 288603 291600 296352 297675 299292 305400 306180 308700 317520 320670 324135 329832 333396 340200 342048 343575 345744 349174 349920 352800 356300 357210 360150 366480 370440 371061 374115 381024 382725 384160 384804 388962 396900 399056 407200 408240 411600 412290 416745 427560 428652 432180 437400 439776 444528 448938 453600 458100 463050 476280 480200 481005 489888 493920 494748 498820 500094 510300 513072 518616 523761 529200 534450 535815 540225 549720 555660 570080 571536 576240 577206 583200 583443 595350 598584 610800 612360 617400 618435 623525 635040 641340 648270 659664 666792 673407 680400 687150 691488 694575 698348 712600 714420 720300 732960 740880 742122 748230 750141 765450 769608 777924 793800 798112 801675 816480 823200 824580 833490 855120 857304 864360 865809 872935 874800 889056 893025 897876 916200 926100 952560 960400 962010 972405 989496 997640 1000188 1020600 1026144 1030725 1037232 1047522 1058400 1068900 1071630 1080450 1099440 1111320 1113183 1122345 1143072 1152480 1154412 1166886 1190700 1197168 1221600 1222109 1224720 1234800 1236870 1247050 1250235 1282680 1296540 1319328 1333584 1346814 1360800 1374300 1389150 1396696 1425200 1428840 1440600 1443015 1481760 1484244 1496460 1500282 1530900 1539216 1555848 1571283 1587600 1603350 1620675 1649160 1666980 1710240 1714608 1728720 1731618 1745870 1749600 1750329 1786050 1795752 1832400 1852200 1855305 1870575 1905120 1920800 1924020 1944810 1978992 1995280 2000376 2020221 2041200 2061450 2074464 2083725 2095044 2137800 2143260 2160900 2198880 2222640 2226366 2244690 2308824 2333772 2381400 2394336 2405025 2444218 2449440 2469600 2473740 2494100 2500470 2565360 2593080 2597427 2618805 2667168 2679075 2693628 2748600 2778300 2793392 2850400 2857680 2881200 2886030 2917215 2968488 2992920 3000564 3061800 3078432 3092175 3111696 3142566 3175200 3206700 3241350 3298320 3333960 3367035 3429216 3457440 3463236 3491740 3500658 3572100 3591504 3664800 3666327 3704400 3710610 3741150 3750705 3848040 3889620 3957984 3990560 4000752 4040442 4082400 4122900 4167450 4190088 4275600 4286520 4321800 4329045 4364675 4445280 4452732 4489380 4617648 4667544 4713849 4762800 4810050 4862025 4888436 4947480 4988200 5000940 5130720 5186160 5194854 5237610 5250987 5358150 5387256 5497200 5556600 5565915 5586784 5611725 5715360 5762400 5772060 5834430 5936976 5985840 6001128 6060663 6110545 6123600 6184350 6223392 6251175 6285132 6413400 6482700 6596640 6667920 6734070 6926472 6983480 7001316 7144200 7183008 7215075 7332654 7408800 7421220 7482300 7501410 7696080 7779240 7792281 7856415 8001504 8080884 8245800 8334900 8380176 8551200 8573040 8643600 8658090 8729350 8751645 8905464 8978760 9235296 9276525 9335088 9427698 9525600 9620100 9724050 9776872 9894960 9976400 10001880 10101105 10372320 10389708 10475220 10501974 10716300 10774512 10994400 10998981 11113200 11131830 11223450 11544120 11668860 11873952 11971680 12002256 12121326 12221090 12247200 12368700 12502350 12570264 12826800 12965400 12987135 13094025 13335840 13468140 13852944 13966960 14002632 14141547 14288400 14430150 14586075 14665308 14842440 14964600 15002820 15392160 15558480 15584562 15712830 16161768 16491600 16669800 16760352 16835175 17146080 17287200 17316180 17458700 17503290 17810928 17957520 18181989 18331635 18553050 18670176 18753525 18855396 19240200 19448100 19553744 19789920 19952800 20003760 20202210 20779416 20950440 21003948 21432600 21549024 21645225 21997962 22226400 22263660 22446900 23088240 23337720 23569245 24004512 24242652 24442180 24737400 25004700 25140528 25653600 25930800 25974270 26188050 26254935 26936280 27705888 27829575 27933920 28005264 28283094 28576800 28860300 29172150 29330616 29684880 29929200 30005640 30303315 30552725 31116960 31169124 31425660 32323536 32983200 32996943 33339600 33670350 34632360 34917400 35006580 35621856 35915040 36363978 36663270 37106100 37507050 37710792 38480400 38896200 38961405 39107488 39282075 40007520 40404420 41558832 41900880 42007896 42424641 42865200 43290450 43758225 43995924 44527320 44893800 46176480 46675440 47138490 48485304 48884360 49474800 50009400 50281056 50505525 51861600 51948540 52376100 52509870 53872560 54545967 54994905 55659150 56010528 56566188 57720600 58344300 58661232 59369760 59858400 60011280 60606630 61105450 62338248 62851320 64647072 64935675 65993886 66679200 67340700 69264720 69834800 70013160 70707735 72727956 73326540 74212200 75014100 75421584 76960800 77792400 77922810 78564150 80808840 83117664 83801760 84015792 84849282 85730400 86580900 87516450 87991848 89054640 89787600 90909945 91658175 93350880 94276980 96970608 97768720 98949600 98990829 100018800 101011050 103897080 104752200 105019740 107745120 109091934 109989810 111318300 113132376 115441200 116688600 117322464 117846225 120022560 121213260 122210900 124676496 125702640 127273923 129871350 131274675 131987772 134681400 138529440 139669600 140026320 141415470 145455912 146653080 148424400 150028200 150843168 151516575 155584800 155845620 157128300 161617680 164984715 168031584 169698564 173161800 175032900 175983696 178109280 179575200 181819890 183316350 188553960 193941216 194807025 195537440 197981658 200037600 202022100 207794160 209504400 210039480 212123205 218183868 219979620 222636600 226264752 230882400 233377200 235692450 242426520 244421800 249352992 251405280 254547846 259742700 262549350 263975544 269362800 272729835 274974525 280052640 282830940 290911824 293306160 296848800 296972487 300056400 303033150 311691240 314256600 323235360 329969430 339397128 346323600 350065800 351967392 353538675 363639780 366632700 377107920 381821769 389614050 395963316 404044200 415588320 419008800 420078960 424246410 436367736 439959240 445273200 452529504 454549725 466754400 471384900 484853040 488843600 494954145 509095692 519485400 525098700 527951088 538725600 545459670 549949050 565661880 581823648 586612320 593944974 600112800 606066300 623382480 628513200 636369615 659938860 678794256 692647200 700131600 707077350 727279560 733265400 754215840 763643538 779228100 791926632 808088400 824923575 840157920 848492820 872735472 879918480 890546400 890917461 909099450 942769800 969706080 977687200 989908290 1018191384 1038970800 1050197400 1055902176 1060616025 1090919340 1099898100 1131323760 1187889948 1212132600 1246764960 1257026400 1272739230 1319877720 1357588512 1363649175 1400263200 1414154700 1454559120 1466530800 1484862435 1527287076 1558456200 1583853264 1616176800 1649847150 1696985640 1745470944 1759836960 1781834922 1818198900 1885539600 1909108845 1979816580 2036382768 2077941600 2100394800 2121232050 2181838680 2199796200 2262647520 2375779896 2424265200 2474770725 2545478460 2639755440 2672752383 2727298350 2828309400 2909118240 2933061600 2969724870 3054574152 3116912400 3167706528 3181848075 3299694300 3393971280 3563669844 3636397800 3771079200 3818217690 3959633160 4072765536 4200789600 4242464100 4363677360 4399592400 4454587305 4751559792 4848530400 4949541450 5090956920 5279510880 5345504766 5454596700 5656618800 5939449740 6109148304 6233824800 6363696150 6599388600 6787942560 7127339688 7272795600 7424312175 7636435380 7919266320 8484928200 8727354720 8799184800 8909174610 9503119584 9545544225 9899082900 10181913840 10691009532 10909193400 11313237600 11878899480 12218296608 12727392300 13198777200 13363761915 14254679376 14545591200 14848624350 15272870760 15838532640 16969856400 17818349220 19091088450 19798165800 20363827680 21382019064 21818386800 22272936525 23757798960 25454784600 26397554400 26727523830 28509358752 29697248700 30545741520 33939712800 35636698440 38182176900 39596331600 42764038128 43636773600 44545873050 47515597920 50909569200 53455047660 59394497400 61091483040 66818809575 71273396880 76364353800 79192663200 85528076256 89091746100 101819138400 106910095320 118788994800 133637619150 142546793760 152728707600 178183492200 213820190640 237577989600 267275238300 305457415200 356366984400 427640381280 534550476600 712733968800 1069100953200 2138201906400
- Sum of all divisors σ(n): 9150806498400
- Sum of proper divisors (its aliquot sum) s(n): 7012604592000
- 2138201906400 is an abundant number, because the sum of its proper divisors (7012604592000) is greater than itself. Its abundance is 4874402685600
Bases of 2138201906400
- Binary: 111110001110101101100001111011100111000002
- Hexadecimal: 0x1F1D6C3DCE0
- Base-36: RA9Y7I00
Squares and roots of 2138201906400
- 2138201906400 squared (21382019064002) is 4571907392532594360960000
- 2138201906400 cubed (21382019064003) is 9775661102597446386742561734144000000
-
The
square root of 2138201906400 is 1462259.1789419549 -
The
cube root of 2138201906400 is 12882.9771788245
Scales and comparisons
How big is 2138201906400?- 2,138,201,906,400 seconds is equal to 67,988 years, 10 weeks, 5 days, 6 hours.
-
To count from 1 to 2,138,201,906,400 would take you about one hundred sixty-nine thousand, nine hundred seventy 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 2138201906400 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138201906400
- 2138201906400 backwards is 0046091028312
- 2138201906400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138201906400's digits is 36
- More coming soon!
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The information we have on file for 2138201906400 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!
Keywords: Divisors of 2138201906400, math, Factors of 2138201906400, curriculum, school, college, exams, university, Prime factorization of 2138201906400, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-eight billion, two hundred one million, nine hundred six thousand, four hundred.