138027379984200
138,027,379,984,200 is an even composite number composed of five prime numbers multiplied together.
138027379984200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138027379984200:
23 × 311 × 52 × 72 × 433
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138027379984200 from the Numbermatics database.
Names of 138027379984200
- Cardinal: 138027379984200 can be written as One hundred thirty-eight trillion, twenty-seven billion, three hundred seventy-nine million, nine hundred eighty-four thousand, two hundred.
Scientific notation
- Scientific notation: 1.380273799842 × 1014
Factors of 138027379984200
Divisors of 138027379984200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 43 45 49 50 54 56 60 63 70 72 75 81 84 86 90 98 100 105 108 120 126 129 135 140 147 150 162 168 172 175 180 189 196 200 210 215 216 225 243 245 252 258 270 280 294 300 301 315 324 344 350 360 378 387 392 405 420 430 441 450 486 490 504 516 525 540 567 588 600 602 630 645 648 675 700 729 735 756 774 810 840 860 882 900 903 945 972 980 1032 1050 1075 1080 1134 1161 1176 1204 1215 1225 1260 1290 1323 1350 1400 1458 1470 1505 1512 1548 1575 1620 1701 1720 1764 1800 1806 1849 1890 1935 1944 1960 2025 2100 2107 2150 2187 2205 2268 2322 2408 2430 2450 2520 2580 2646 2700 2709 2835 2916 2940 3010 3096 3150 3225 3240 3402 3483 3528 3612 3645 3675 3698 3780 3870 3969 4050 4200 4214 4300 4374 4410 4515 4536 4644 4725 4860 4900 5103 5160 5292 5400 5418 5547 5670 5805 5832 5880 6020 6075 6300 6321 6450 6561 6615 6804 6966 7224 7290 7350 7396 7525 7560 7740 7938 8100 8127 8428 8505 8600 8748 8820 9030 9245 9288 9450 9675 9720 9800 10206 10449 10535 10584 10836 10935 11025 11094 11340 11610 11907 12040 12150 12600 12642 12900 12943 13122 13230 13545 13608 13932 14175 14580 14700 14792 15050 15309 15480 15876 16200 16254 16641 16856 17010 17415 17496 17640 18060 18225 18490 18900 18963 19350 19683 19845 20412 20898 21070 21672 21870 22050 22188 22575 22680 23220 23814 24300 24381 25284 25515 25800 25886 26244 26460 27090 27735 27864 28350 29025 29160 29400 30100 30618 31347 31605 31752 32508 32805 33075 33282 34020 34830 35721 36120 36450 36980 37800 37926 38700 38829 39366 39690 40635 40824 41796 42140 42525 43740 44100 44376 45150 45927 46225 46440 47628 48600 48762 49923 50568 51030 51772 52245 52488 52675 52920 54180 54675 55470 56700 56889 58050 59049 59535 60200 61236 62694 63210 64715 65016 65610 66150 66564 67725 68040 69660 71442 72900 73143 73960 75852 76545 77400 77658 78732 79380 79507 81270 83205 83592 84280 85050 87075 87480 88200 90300 90601 91854 92450 94041 94815 95256 97524 98415 99225 99846 102060 103544 104490 105350 107163 108360 109350 110940 113400 113778 116100 116487 118098 119070 121905 122472 125388 126420 127575 129430 131220 132300 133128 135450 137781 138675 139320 142884 145800 146286 149769 151704 153090 155316 156735 157464 158025 158760 159014 162540 164025 166410 170100 170667 174150 177147 178605 180600 181202 183708 184900 188082 189630 194145 195048 196830 198450 199692 203175 204120 208980 210700 214326 218700 219429 221880 227556 229635 232200 232974 236196 238140 238521 243810 249615 250776 252840 255150 258860 261225 262440 264600 270900 271803 275562 277350 282123 284445 285768 292572 295245 297675 299538 306180 310632 313470 316050 318028 321489 323575 325080 328050 332820 340200 341334 348300 349461 354294 357210 362404 365715 367416 369800 376164 379260 382725 388290 393660 396900 397535 399384 406350 413343 416025 417960 421400 428652 437400 438858 449307 453005 455112 459270 465948 470205 472392 474075 476280 477042 487620 492075 499230 510300 512001 517720 522450 535815 541800 543606 551124 554700 556549 564246 568890 582435 585144 590490 595350 599076 609525 612360 626940 632100 636056 642978 647150 656100 658287 665640 682668 688905 696600 698922 708588 714420 715563 724808 731430 748845 752328 758520 765450 776580 783675 787320 793800 795070 812700 815409 826686 832050 846369 853335 857304 877716 885735 893025 898614 906010 918540 931896 940410 948150 954084 964467 970725 975240 984150 998460 1020600 1024002 1044900 1048383 1071630 1087212 1097145 1102248 1109400 1113098 1128492 1137780 1148175 1164870 1180980 1190700 1192605 1198152 1219050 1240029 1248075 1253880 1264200 1285956 1294300 1312200 1316574 1347921 1359015 1365336 1377810 1397844 1410615 1417176 1422225 1428840 1431126 1462860 1476225 1497690 1530900 1536003 1553160 1567350 1590140 1607445 1625400 1630818 1653372 1664100 1669647 1692738 1706670 1747305 1755432 1771470 1786050 1797228 1812020 1828575 1837080 1880820 1896300 1908168 1928934 1941450 1968300 1974861 1987675 1996920 2048004 2066715 2089800 2096766 2143260 2146689 2174424 2194290 2226196 2246535 2256984 2265025 2275560 2296350 2329740 2351025 2361960 2381400 2385210 2438100 2446227 2480058 2496150 2539107 2560005 2571912 2588600 2633148 2679075 2695842 2718030 2755620 2782745 2795688 2821230 2844450 2862252 2893401 2912175 2925720 2952450 2995380 3061800 3072006 3134700 3145149 3180280 3214890 3261636 3291435 3306744 3328200 3339294 3385476 3413340 3444525 3494610 3542940 3572100 3577815 3594456 3624040 3657150 3744225 3761640 3792600 3857868 3882900 3895843 3936600 3949722 3975350 4043763 4077045 4096008 4133430 4193532 4231845 4266675 4286520 4293378 4388580 4428675 4452392 4493070 4530050 4592700 4608009 4659480 4702050 4770420 4822335 4876200 4892454 4960116 4992300 5008941 5078214 5120010 5241915 5266296 5358150 5391684 5436060 5485725 5511240 5565490 5642460 5688900 5724504 5786802 5824350 5904900 5924583 5963025 5990760 6144012 6200145 6269400 6290298 6429780 6440067 6523272 6582870 6678588 6739605 6770952 6795075 6826680 6889050 6989220 7053075 7085880 7144200 7155630 7314300 7338681 7488450 7617321 7680015 7715736 7765800 7791686 7899444 7950700 8037225 8087526 8154090 8266860 8348235 8387064 8463690 8533350 8586756 8680203 8736525 8777160 8857350 8986140 9060100 9185400 9216018 9404100 9435447 9540840 9644670 9784908 9874305 9920232 9984600 10017882 10156428 10240020 10333575 10483830 10716300 10733445 10783368 10872120 10971450 11130980 11232675 11284920 11377800 11573604 11648700 11687529 11809800 11849166 11926050 12131289 12231135 12288024 12400290 12580596 12695535 12800025 12859560 12880134 13165740 13357176 13479210 13590150 13778100 13824027 13913725 13978440 14106150 14311260 14467005 14628600 14677362 14976900 15026823 15234642 15360030 15583372 15725745 15798888 15901400 16074450 16175052 16308180 16457175 16533720 16696470 16927380 17066700 17173512 17360406 17473050 17714700 17773749 17889075 17972280 18120200 18432036 18808200 18870894 19289340 19320201 19479215 19569816 19748610 20035764 20218815 20312856 20385225 20480040 20667150 20967660 21159225 21432600 21466890 21942900 22016043 22261960 22465350 23040045 23147208 23297400 23375058 23698332 23852100 24111675 24262578 24462270 24800580 25044705 25161192 25391070 25600050 25760268 26209575 26331480 26958420 27180300 27556200 27648054 27827450 28212300 28306341 28622520 28934010 29354724 29622915 29953800 30053646 30469284 30720060 31000725 31166744 31451490 32148900 32200335 32350104 32616360 32914350 33392940 33698025 33854760 34133400 34720812 34946100 35062587 35429400 35547498 35778150 36393867 36693405 36864072 37741788 38086605 38400075 38578680 38640402 38958430 39497220 40071528 40437630 40770450 41334300 41472081 41741175 41935320 42318450 42933780 43401015 43885800 44032086 44930700 45080469 46080090 46750116 47177235 47396664 47704200 48223350 48525156 48924540 49371525 49601160 50089410 50782140 51200100 51520536 52419150 53321247 53667225 53916840 54360600 55296108 55654900 56424600 56612682 57868020 57960603 58437645 58709448 59245830 60107292 60656445 60938568 61155675 61440120 62001450 62902980 63477675 64297800 64400670 65828700 66048129 66785880 67396050 69120135 69441624 69892200 70125174 71094996 71556300 72335025 72787734 73386810 75134115 75483576 76173210 76800150 77280804 77916860 78628725 78994440 80875260 81540900 82668600 82944162 83482350 84636900 84919023 85867560 86802030 88064172 88868745 89861400 90160938 92160180 93500232 94354470 96446700 96601005 97050312 97396075 97849080 98743050 100178820 101094075 101564280 102400200 104838300 105187761 106642494 107334450 109181601 110080215 110592216 111309800 113225364 115200225 115736040 115921206 116875290 118491660 120214584 121312890 122311350 124002900 124416243 125223525 125805960 126955350 128801340 131657400 132096258 134792100 135241407 138240270 140250348 141531705 142189992 143112600 144670050 145575468 146773620 148114575 150268230 152346420 153600300 154561608 155833720 157257450 161001675 161750520 163081800 165888324 166964700 169273800 169838046 173604060 173881809 175312935 176128344 177737490 180321876 181969335 183467025 184320360 188708940 190433025 192893400 193202010 194792150 197486100 198144387 200357640 202188150 207360405 209676600 210375522 213284988 214668900 217005075 218363202 220160430 225402345 226450728 230400450 231842412 233750580 235886175 236983320 242625780 244622700 248005800 248832486 250447050 253910700 254757069 257602680 264192516 266606235 269584200 270482814 276480540 280500696 283063410 289340100 289803015 291150936 292188225 293547240 296229150 300536460 303282225 304692840 307200600 314514900 315563283 322003350 327544803 330240645 331776648 333929400 339676092 345600675 347208120 347763618 350625870 355474980 360643752 363938670 366934050 373248729 375670575 377417880 380866050 386404020 389584300 394972200 396288774 404376300 405724221 414720810 420751044 424595115 426569976 429337800 434010150 436726404 440320860 444343725 450804690 460800900 463684824 467501160 471772350 483005025 485251560 489245400 497664972 500894100 507821400 509514138 521645427 525938805 528385032 533212470 540965628 545908005 550401075 552961080 566126820 578680200 579606030 584376450 592458300 594433161 601072920 606564450 622081215 629029800 631126566 644006700 655089606 660481290 676207035 679352184 691201350 695527236 701251740 707658525 710949960 727877340 733868100 746497458 751341150 761732100 764271207 772808040 779168600 792577548 808752600 811448442 829441620 841502088 849190230 868020300 869409045 873452808 876564675 880641720 888687450 901609380 909846675 921601800 943544700 946689849 966010050 990721935 995329944 1001788200 1019028276 1036802025 1043290854 1051877610 1066424940 1081931256 1091816010 1100802150 1127011725 1132253640 1159212060 1168752900 1184916600 1188866322 1213128900 1217172663 1244162430 1262253132 1273785345 1288013400 1310179212 1320962580 1333031175 1352414070 1382402700 1391054472 1402503480 1415317050 1449015075 1455754680 1467736200 1492994916 1502682300 1523464200 1528542414 1564936281 1577816415 1585155096 1622896884 1637724015 1651203225 1658883240 1698380460 1736040600 1738818090 1753129350 1777374900 1783299483 1803218760 1819693350 1866243645 1887089400 1893379698 1932020100 1981443870 2028621105 2038056552 2073604050 2086581708 2103755220 2122975575 2132849880 2183632020 2201604300 2254023450 2292813621 2318424120 2337505800 2377732644 2426257800 2434345326 2488324860 2524506264 2547570690 2608227135 2620358424 2629694025 2641925160 2666062350 2704828140 2729540025 2764805400 2830634100 2840069547 2898030150 2972165805 2985989832 3005364600 3057084828 3110406075 3129872562 3155632830 3245793768 3275448030 3302406450 3381035175 3396760920 3477636180 3506258700 3554749800 3566598966 3639386700 3651517989 3732487290 3786759396 3821356035 3864040200 3962887740 4057242210 4147208100 4173163416 4207510440 4245951150 4347045225 4367264040 4403208600 4508046900 4585627242 4694808843 4733449245 4755465288 4868690652 4953609675 4976649720 5095141380 5216454270 5259388050 5332124700 5349898449 5409656280 5459080050 5661268200 5680139094 5796060300 5944331610 6085863315 6114169656 6220812150 6259745124 6311265660 6368926725 6550896060 6604812900 6762070350 6955272360 7012517400 7133197932 7278773400 7303035978 7464974580 7573518792 7642712070 7824681405 7889082075 7925775480 8114484420 8188620075 8294416200 8491902300 8520208641 8694090450 8916497415 9016093800 9171254484 9331218225 9389617686 9466898490 9737381304 9907219350 10143105525 10190282760 10432908540 10518776100 10664249400 10699796898 10918160100 10954553967 11360278188 11464068105 11592120600 11888663220 12171726630 12441624300 12519490248 12622531320 12737853450 13041135675 13101792120 13209625800 13524140700 14084426529 14200347735 14266395864 14606071956 14860829025 14929949160 15285424140 15649362810 15778164150 16049695347 16228968840 16377240150 16983804600 17040417282 17388180900 17832994830 18257589945 18342508968 18662436450 18779235372 18933796980 19106780175 19814438700 20286211050 20865817080 21037552200 21399593796 21836320200 21909107934 22720556376 22928136210 23474044215 23667246225 23777326440 24343453260 24883248600 25475706900 25560625923 26082271350 26749492245 27048281400 28168853058 28400695470 29212143912 29721658050 30429316575 30570848280 31298725620 31556328300 32099390694 32754480300 32863661901 34080834564 34776361800 35665989660 36515179890 37324872900 37558470744 37867593960 38213560350 39123407025 39628877400 40572422100 42601043205 42799187592 43818215868 44582487075 45856272420 46948088430 47334492450 48686906520 50951413800 51121251846 52164542700 53498984490 54772769835 56337706116 56801390940 57320340525 59443316100 60858633150 62597451240 63112656600 64198781388 65508960600 65727323802 68161669128 70422132645 71001738675 71331979320 73030359780 74649745800 76427120700 76681877769 78246814050 80248476735 81144844200 85202086410 87636431736 89164974150 91287949725 91712544840 93896176860 94668984900 98590985703 102242503692 104329085400 106997968980 109545539670 112675412232 113602781880 114640681050 117370221075 118886632200 121717266300 127803129615 128397562776 131454647604 133747461225 140844265290 142003477350 146060719560 152854241400 153363755538 156493628100 160496953470 164318309505 170404172820 178329948300 182575899450 187792353720 189337969800 197181971406 204485007384 213005216025 213995937960 219091079340 229281362100 230045633307 234740442150 243434532600 255606259230 262909295208 267494922450 273863849175 281688530580 284006954700 306727511076 312987256200 320993906940 328636619010 340808345640 352110663225 356659896600 365151798900 383409388845 394363942812 401242383675 426010432050 438182158680 458562724200 460091266614 469480884300 492954928515 511212518460 534989844900 547727698350 563377061160 568013909400 613455022152 639015648075 641987813880 657273238020 690136899921 704221326450 730303597800 766818777690 788727885624 802484767350 821591547525 852020864100 920182533228 938961768600 985909857030 1022425036920 1069979689800 1095455396700 1150228166535 1278031296150 1314546476040 1380273799842 1408442652900 1533637555380 1604969534700 1643183095050 1704041728200 1840365066456 1917046944225 1971819714060 2190910793400 2300456333070 2464774642575 2556062592300 2760547599684 2816885305800 3067275110760 3209939069400 3286366190100 3450684499605 3834093888450 3943639428120 4600912666140 4929549285150 5112125184600 5521095199368 5751140832675 6572732380200 6901368999210 7668187776900 9201825332280 9859098570300 11502281665350 13802737998420 15336375553800 17253422498025 19718197140600 23004563330700 27605475996840 34506844996050 46009126661400 69013689992100 138027379984200
- Sum of all divisors σ(n): 573292760040000
- Sum of proper divisors (its aliquot sum) s(n): 435265380055800
- 138027379984200 is an abundant number, because the sum of its proper divisors (435265380055800) is greater than itself. Its abundance is 297238000071600
Bases of 138027379984200
- Binary: 111110110001001000000001111010000000111010010002
- Hexadecimal: 0x7D8900F40748
- Base-36: 1CXCWIA4I0
Squares and roots of 138027379984200
- 138027379984200 squared (1380273799842002) is 19051557625302734792249640000
- 138027379984200 cubed (1380273799842003) is 2629636583638543579729278905425655688000000
-
The
square root of 138027379984200 is 11748505.4361905965 -
The
cube root of 138027379984200 is 51679.9099342263
Scales and comparisons
How big is 138027379984200?- 138,027,379,984,200 seconds is equal to 4,388,843 years, 38 weeks, 2 days, 4 hours, 30 minutes.
-
To count from 1 to 138,027,379,984,200 would take you about ten million, nine hundred seventy-two thousand, one hundred nine 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 138027379984200 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138027379984200
- 138027379984200 backwards is 002489973720831
- 138027379984200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138027379984200's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138027379984200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 138027379984200 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138027379984200/
Chicago style:
Numbermatics. 2024. "Number 138027379984200 - Facts about the integer". https://numbermatics.com/n/138027379984200/
The information we have on file for 138027379984200 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 138027379984200, math, Factors of 138027379984200, curriculum, school, college, exams, university, Prime factorization of 138027379984200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, twenty-seven billion, three hundred seventy-nine million, nine hundred eighty-four thousand, two hundred.