138420372311424
138,420,372,311,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 138420372311424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138420372311424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138420372311424:
27 × 32 × 74 × 37 × 751 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 37 × 751 × 1801)See below for interesting mathematical facts about the number 138420372311424 from the Numbermatics database.
Names of 138420372311424
- Cardinal: 138420372311424 can be written as One hundred thirty-eight trillion, four hundred twenty billion, three hundred seventy-two million, three hundred eleven thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38420372311424 × 1014
Factors of 138420372311424
Divisors of 138420372311424
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 49 56 63 64 72 74 84 96 98 111 112 126 128 144 147 148 168 192 196 222 224 252 259 288 294 296 333 336 343 384 392 441 444 448 504 518 576 588 592 666 672 686 751 777 784 882 888 896 1008 1029 1036 1152 1176 1184 1332 1344 1372 1502 1554 1568 1764 1776 1801 1813 2016 2058 2072 2253 2331 2352 2368 2401 2664 2688 2744 3004 3087 3108 3136 3528 3552 3602 3626 4032 4116 4144 4506 4662 4704 4736 4802 5257 5328 5403 5439 5488 6008 6174 6216 6272 6759 7056 7104 7203 7204 7252 8064 8232 8288 9012 9324 9408 9604 10514 10656 10806 10878 10976 12016 12348 12432 12607 12691 13518 14112 14208 14406 14408 14504 15771 16209 16317 16464 16576 18024 18648 18816 19208 21028 21312 21609 21612 21756 21952 24032 24696 24864 25214 25382 27036 27787 28224 28812 28816 29008 31542 32418 32634 32928 33152 36048 36799 37296 37821 38073 38416 42056 42624 43218 43224 43512 43904 47313 48064 49392 49728 50428 50764 54072 55574 56448 57624 57632 58016 63084 64836 65268 65856 66637 72096 73598 74592 75642 76146 76832 83361 84112 86436 86448 87024 88249 88837 94626 96128 98784 99456 100856 101528 108144 110397 111148 113463 114219 115248 115264 116032 126168 129672 130536 131712 133274 144192 147196 149184 151284 152292 153664 166722 168224 172872 172896 174048 176498 177674 189252 194509 197568 199911 201712 203056 216288 220794 222296 226926 228438 230496 230528 232064 250083 252336 257593 259344 261072 264747 266511 266548 288384 294392 298368 302568 304584 307328 331191 333444 336448 345744 345792 348096 352996 355348 378504 389018 395136 399822 403424 406112 432576 441588 444592 453852 456876 460992 466459 500166 504672 515186 518688 522144 529494 533022 533096 583527 588784 599733 605136 609168 617743 662382 666888 672896 691488 691584 696192 705992 710696 757008 772779 778036 794241 799533 799644 806848 812224 865152 883176 889184 907704 913752 921984 932918 1000332 1009344 1030372 1037376 1044288 1058988 1066044 1066192 1167054 1177568 1199466 1210272 1218336 1235486 1324764 1333776 1352551 1361563 1382976 1399377 1411984 1421392 1514016 1545558 1556072 1588482 1599066 1599288 1613696 1624448 1750581 1766352 1778368 1803151 1815408 1827504 1853229 1865836 2000664 2018688 2060744 2074752 2088576 2117976 2132088 2132384 2318337 2334108 2355136 2398932 2420544 2436672 2470972 2649528 2667552 2705102 2723126 2765952 2798754 2823968 2842784 3028032 3091116 3112144 3176964 3198132 3198576 3265213 3501162 3532704 3556736 3606302 3630816 3655008 3706458 3731672 4001328 4057653 4084689 4121488 4198131 4235952 4264176 4264768 4324201 4636674 4668216 4710272 4797864 4841088 4873344 4941944 5299056 5335104 5409453 5410204 5446252 5559687 5597508 5647936 5685568 6056064 6182232 6224288 6353928 6396264 6397152 6530426 7002324 7065408 7212604 7261632 7310016 7412916 7463344 8002656 8115306 8169378 8242976 8396262 8471904 8528352 8529536 8648402 9273348 9336432 9467857 9530941 9595728 9795639 9883888 10598112 10670208 10818906 10820408 10892504 11119374 11195016 11295872 11371136 12172959 12254067 12364464 12448576 12707856 12792528 12794304 12972603 13060852 14004648 14130816 14425208 14523264 14620032 14825832 14926688 16005312 16228359 16230612 16338756 16485952 16792524 16943808 17056704 17296804 18546696 18672864 18935714 19061882 19191456 19591278 19767776 21196224 21637812 21640816 21785008 22238748 22390032 22856491 24345918 24508134 24728928 24897152 25415712 25585056 25588608 25945206 26121704 28009296 28403571 28592823 28850416 29386917 29651664 29853376 32010624 32456718 32461224 32677512 32971904 33585048 33887616 34113408 34593608 37093392 37345728 37871428 38123764 38382912 38917809 39182556 39535552 42392448 43275624 43281632 43570016 44477496 44780064 45712982 48691836 49016268 49457856 50044387 50831424 51170112 51890412 52243408 56018592 56807142 57185646 57700832 58773834 59303328 59706752 64913436 64922448 65355024 66274999 66716587 67170096 68569473 69187216 74186784 74691456 75742856 76247528 76765824 77835618 78365112 79071104 85210713 85778469 86551248 86563264 87140032 88954992 89560128 91425964 97383672 98032536 98915712 100088774 101662848 102340224 103780824 104486816 112037184 113614284 114371292 115401664 117547668 118606656 129826872 129844896 130710048 132549998 133433174 134340192 137138946 138374432 148373568 150133161 151485712 152495056 155671236 156730224 159995437 170421426 171556938 173102496 173126528 174280064 177909984 179120256 182851928 194767344 196065072 198824997 200149761 200177548 205708419 207561648 208973632 224074368 227228568 228742584 230803328 235095336 237213312 259653744 259689792 261420096 265099996 266866348 268680384 274277892 276748864 296747136 300266322 302971424 304990112 311342472 313460448 319990874 340842852 343113876 346204992 350310709 355819968 365703856 389534688 392130144 397649994 400299522 400355096 411416838 415123296 417947264 450399483 454457136 457485168 463924993 470190672 479986311 519307488 519379584 522840192 530199992 533732696 537360768 548555784 553497728 596474991 600449283 600532644 605942848 609980224 622684944 626920896 639981748 681685704 686227752 692409984 700621418 711639936 731407712 779069376 784260288 795299988 800599044 800710192 822833676 830246592 900798966 908914272 914970336 927849986 940381344 959972622 1038614976 1050932127 1060399984 1067465392 1097111568 1192949982 1200898566 1201065288 1211885696 1219960448 1245369888 1253841792 1279963496 1363371408 1372455504 1391774979 1401242836 1439958933 1462815424 1558138752 1568520576 1590599976 1601198088 1601420384 1645667352 1660493184 1801597932 1817828544 1829940672 1855699972 1880762688 1919945244 2077229952 2101864254 2120799968 2134930784 2194223136 2385899964 2401797132 2402130576 2452174963 2490739776 2559926992 2726742816 2744911008 2783549958 2802485672 2879917866 2925630848 3152796381 3181199952 3202396176 3202840768 3247474951 3291334704 3603195864 3635657088 3659881344 3711399944 3761525376 3839890488 4175324937 4203728508 4241599936 4269861568 4388446272 4771799928 4803594264 4804261152 4904349926 4981479552 5119853984 5453485632 5489822016 5567099916 5604971344 5759835732 6305592762 6362399904 6404792352 6405681536 6494949902 6582669408 7206391728 7356524889 7422799888 7679780976 8350649874 8407457016 8483199872 8539723136 8776892544 9543599856 9607188528 9608522304 9742424853 9808699852 10239707968 10906971264 10979644032 11134199832 11209942688 11519671464 12611185524 12724799808 12809584704 12989899804 13165338816 14412783456 14713049778 14845599776 15359561952 16701299748 16814914032 17165224741 19087199712 19214377056 19217044608 19484849706 19617399704 20479415936 22069574667 22268399664 22419885376 23039342928 25222371048 25449599616 25619169408 25979799608 26330677632 28825566912 29227274559 29426099556 29691199552 30719123904 33402599496 33629828064 34330449482 38174399424 38428754112 38969699412 39234799408 44139149334 44536799328 44839770752 46078685856 50444742096 51495674223 51959599216 57651133824 58454549118 58852199112 59382399104 61438247808 66805198992 67259656128 68660898964 76348798848 76857508224 77939398824 78469598816 88278298668 89073598656 92157371712 100889484192 102991348446 103919198432 116909098236 117704398224 120156573187 133610397984 134519312256 137321797928 154487022669 155878797648 156939197632 176556597336 178147197312 184314743424 201778968384 205982696892 207838396864 233818196472 235408796448 240313146374 267220795968 274643595856 308974045338 311757595296 313878395264 353113194672 360469719561 403557936768 411965393784 415676793728 467636392944 470817592896 480626292748 534441591936 549287191712 617948090676 623515190592 706226389344 720939439122 823930787568 935272785888 941635185792 961252585496 1081409158683 1098574383424 1235896181352 1247030381184 1412452778688 1441878878244 1647861575136 1870545571776 1922505170992 2162818317366 2197148766848 2471792362704 2824905557376 2883757756488 3295723150272 3741091143552 3845010341984 4325636634732 4943584725408 5767515512976 6591446300544 7690020683968 8651273269464 9887169450816 11535031025952 15380041367936 17302546538928 19774338901632 23070062051904 34605093077856 46140124103808 69210186155712 138420372311424
- Sum of all divisors σ(n): 478137564914880
- Sum of proper divisors (its aliquot sum) s(n): 339717192603456
- 138420372311424 is an abundant number, because the sum of its proper divisors (339717192603456) is greater than itself. Its abundance is 201296820292032
Bases of 138420372311424
- Binary: 111110111100100100000010001111100001101100000002
- Hexadecimal: 0x7DE4811F0D80
- Base-36: 1D2DFVRKW0
Squares and roots of 138420372311424
- 138420372311424 squared (1384203723114242) is 19160199470833235956440907776
- 138420372311424 cubed (1384203723114243) is 2652161944313885631059095924870265935233024
-
The
square root of 138420372311424 is 11765218.7532329377 -
The
cube root of 138420372311424 is 51728.9112340895
Scales and comparisons
How big is 138420372311424?- 138,420,372,311,424 seconds is equal to 4,401,339 years, 35 weeks, 1 day, 11 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,420,372,311,424 would take you about eleven million, three thousand, three hundred forty-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 138420372311424 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138420372311424
- 138420372311424 backwards is 424113273024831
- The number of decimal digits it has is: 15
- The sum of 138420372311424's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138420372311424 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138420372311424/
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The information we have on file for 138420372311424 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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