138844651678045456
138,844,651,678,045,456 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138844651678045456 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
138844651678045456 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138844651678045456:
24 × 112 × 132 × 37 × 307 × 4561 × 8191
(2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 37 × 307 × 4561 × 8191)See below for interesting mathematical facts about the number 138844651678045456 from the Numbermatics database.
Names of 138844651678045456
- Cardinal: 138844651678045456 can be written as One hundred thirty-eight quadrillion, eight hundred forty-four trillion, six hundred fifty-one billion, six hundred seventy-eight million, forty-five thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.38844651678045456 × 1017
Factors of 138844651678045456
Divisors of 138844651678045456
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 121 143 148 169 176 208 242 286 296 307 338 407 481 484 572 592 614 676 814 962 968 1144 1228 1352 1573 1628 1859 1924 1936 2288 2456 2704 3146 3256 3377 3718 3848 3991 4477 4561 4912 5291 6253 6292 6512 6754 7436 7696 7982 8191 8954 9122 10582 11359 12506 12584 13508 14872 15964 16382 17908 18244 20449 21164 22718 25012 25168 27016 29744 31928 32764 35816 36488 37147 40898 42328 43901 45436 50024 50171 51883 54032 58201 59293 63856 65528 68783 71632 72976 74294 81796 84656 87802 90101 90872 100048 100342 103766 106483 116402 118586 124949 131056 137566 147667 148588 163592 168757 175604 180202 181744 200684 207532 212966 232804 237172 249898 275132 295334 297176 303067 327184 337514 351208 360404 401368 415064 425932 465608 474344 482911 499796 550264 551881 570713 590668 594352 606134 652223 675028 702416 720808 756613 770809 802736 830128 851864 931216 948688 965822 991111 999592 1100528 1103762 1141426 1171313 1181336 1212268 1304446 1350056 1374439 1384279 1400227 1441616 1513226 1541618 1624337 1703728 1856327 1919671 1931644 1982222 1999184 2193841 2207524 2282852 2342626 2362672 2424536 2514637 2608892 2700112 2748878 2768558 2800454 3026452 3083236 3248674 3333737 3712654 3839342 3863288 3939871 3964444 4387682 4415048 4565704 4685252 4849072 5029274 5217784 5497756 5537116 5600908 6052904 6166472 6277843 6497348 6667474 7174453 7425308 7678684 7726576 7879742 7928888 8478899 8775364 8830096 9131408 9370504 10058548 10435568 10995512 11074232 11201816 12105808 12332944 12555686 12884443 12994696 13334948 14348906 14850616 15227069 15357368 15402497 15759484 15857776 16957798 17550728 17867707 18202951 18741008 20117096 20419597 21116381 21991024 22148464 22403632 24132251 25111372 25768886 25989392 26669896 27661007 28519933 28697812 29701232 30454138 30714736 30804994 31518968 32690281 33915596 35101456 35735414 36405902 36671107 37359151 40234192 40839194 42232762 43338581 48264502 50222744 51218323 51537772 51808399 53339792 55322014 57039866 57395624 60908276 61609988 63037936 65380562 67831192 71470828 72811804 73342214 74718302 81678388 84465524 86677162 93041569 93267889 96529004 100445488 102436646 103075544 103616798 110644028 114079732 114791248 121816552 123219976 130761124 135662384 142941656 145623608 146684428 149436604 163356776 167497759 168931048 169427467 173354324 186083138 186535778 193058008 200232461 204873292 206151088 207233596 221288056 228159464 232280191 236638363 243633104 246439952 261522248 265454761 285883312 291247216 293368856 298873208 304271077 313719263 326713552 334995518 337862096 338854934 346708648 359593091 372166276 373071556 386116016 400464922 409746584 410950661 414467192 424973653 442576112 456318928 464560382 473276726 476724391 485668963 523044496 530909522 563401553 569892389 586737712 597746416 608542154 627438526 669991036 673509187 677709868 693417296 719186182 744332552 746143112 800929844 819493168 821901322 828934384 849947306 929120764 946553452 953448782 971337926 1023457259 1061819044 1126803106 1139784778 1209540397 1217084308 1254877052 1339982072 1347018374 1355419736 1382288587 1438372364 1488665104 1492286224 1601859688 1643802644 1699894612 1858241528 1893106904 1906897564 1942675852 2046914518 2123638088 2202557071 2253606212 2279569556 2419080794 2434168616 2509754104 2603021993 2679964144 2694036748 2710839472 2764577174 2876744728 3203719376 3287605288 3399789224 3450911893 3716483056 3786213808 3813795128 3885351704 3955524001 4093829036 4247276176 4405114142 4507212424 4520457271 4559139112 4674710183 4838161588 4868337232 5019508208 5206043986 5342358593 5388073496 5529154348 5753489456 6197417083 6268816279 6313696519 6575210576 6799578448 6901823786 7408601057 7627590256 7770703408 7911048002 8187658072 8755619431 8810228284 9014424848 9040914542 9118278224 9349420366 9676323176 10412087972 10684717186 10776146992 11058308696 11258029849 11469259357 12394834166 12537632558 12627393038 13304944367 13803647572 14817202114 15205174457 15724025161 15822096004 16375316144 17511238862 17620456568 17969751631 18081829084 18698840732 19352646352 20824175944 21369434372 22116617392 22516059698 22938518714 24789668332 25075265116 25254786076 26609888734 27607295144 28633241923 29634404228 30410348914 31448050322 31644192008 35022477724 35240913136 35939503262 36163658168 37397681464 41648351888 42738868744 45032119396 45877037428 49579336664 50150530232 50509572152 51421812013 53219777468 55214590288 57266483846 58765944523 59268808456 60820697828 62896100644 63288384016 69450661709 70044955448 71879006524 72327316336 74795362928 81494611627 85477737488 90064238792 91754074856 96311813741 99158673328 100301060464 101019144304 102843624026 106439554936 114532967692 117531889046 118537616912 121641395656 125792201288 126161852927 138901323418 140089910896 143758013048 146354388037 149100371641 162989223254 167256919027 172964276771 180128477584 183508149712 192623627482 197667267941 205687248052 212879109872 229065935384 233606771203 235063778092 243282791312 251584402576 252323705854 277802646836 287516026096 292708776074 298200743282 325978446508 334513838054 345928553542 385247254964 395334535882 411374496104 424362596209 458131870768 467213542406 470127556184 504647411708 555605293672 585417552148 596401486564 651956893016 669027676108 691857107084 763957278799 770494509928 790669071764 822748992208 848725192418 934427084812 940255112368 1009294823416 1059429951151 1111210587344 1170835104296 1192802973128 1303913786032 1338055352216 1383714214168 1387780382197 1527914557598 1540989019856 1581338143528 1640104088051 1697450384836 1868854169624 1902607044481 1938304831333 2018589646832 2118859902302 2174339947351 2341670208592 2385605946256 2569674483233 2676110704432 2767428428336 2775560764394 3055829115196 3162676287056 3280208176102 3394900769672 3737708339248 3805214088962 3876609662666 4237719804604 4348679894702 4667988558299 5139348966466 5516713750717 5551121528788 6111658230392 6560416352204 6789801539344 7610428177924 7753219325332 8475439609208 8697359789404 9335977116598 10278697932932 11033427501434 11102243057576 12223316460784 13120832704408 15220856355848 15506438650664 16950879218416 17394719578808 18041144968561 18671954233196 20557395865864 21321353144663 22066855002868 22204486115152 26241665408816 28266419315563 30441712711696 31012877301328 34789439157616 36082289937122 37343908466392 41114791731728 42642706289326 44133710005736 51347874141289 56532838631126 60683851257887 71717278759321 72164579874244 74687816932784 85285412578652 88267420011472 102695748282578 113065677262252 121367702515774 143434557518642 144329159748488 170570825157304 205391496565156 226131354524504 234534884591293 242735405031548 286869115037284 288658319496976 341141650314608 410782993130312 452262709049008 469069769182586 485470810063096 573738230074568 667522363836757 788890066352531 821565986260624 938139538365172 970941620126192 1147476460149136 1335044727673514 1577780132705062 1876279076730344 2670089455347028 3155560265410124 3752558153460688 5340178910694056 6311120530820248 8677790729877841 10680357821388112 12622241061640496 17355581459755682 34711162919511364 69422325839022728 138844651678045456
- Sum of all divisors σ(n): 330022813358751744
- Sum of proper divisors (its aliquot sum) s(n): 191178161680706288
- 138844651678045456 is an abundant number, because the sum of its proper divisors (191178161680706288) is greater than itself. Its abundance is 52333510002660832
Bases of 138844651678045456
- Binary: 1111011010100011001111001100111100011101110010101000100002
- Hexadecimal: 0x1ED46799E3B9510
- Base-36: 11Z4BKFEFOR4
Squares and roots of 138844651678045456
- 138844651678045456 squared (1388446516780454562) is 19277837299597770860657352402247936
- 138844651678045456 cubed (1388446516780454563) is 2676624604968684918025518884672053258725233190178816
-
The
square root of 138844651678045456 is 372618641.0769668619 -
The
cube root of 138844651678045456 is 517817.0963673943
Scales and comparisons
How big is 138844651678045456?- 138,844,651,678,045,456 seconds is equal to 4,414,830,448 years, 34 weeks, 17 hours, 4 minutes, 16 seconds.
-
To count from 1 to 138,844,651,678,045,456 would take you about thirteen billion, two hundred forty-four million, four hundred ninety-one thousand, three hundred forty-five 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 138844651678045456 cubic inches would be around 43151.4 feet tall.
Recreational maths with 138844651678045456
- 138844651678045456 backwards is 654540876156448831
- The number of decimal digits it has is: 18
- The sum of 138844651678045456's digits is 85
- More coming soon!
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The information we have on file for 138844651678045456 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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