20138434558418000

Names of 20138434558418000

• Cardinal: 20138434558418000 can be written as Twenty quadrillion, one hundred thirty-eight trillion, four hundred thirty-four billion, five hundred fifty-eight million, four hundred eighteen thousand.

Scientific notation

• Scientific notation: 2.0138434558418 × 10¹⁶

Factors of 20138434558418000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 345

Divisors of 20138434558418000

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 71 80 85 88 100 110 121 125 136 142 170 176 187 200 220 239 242 250 272 275 284 289 340 355 374 400 425 440 478 484 500 550 568 578 605 680 710 748 781 850 880 935 956 968 1000 1100 1136 1156 1195 1207 1210 1360 1375 1420 1445 1496 1562 1700 1775 1870 1912 1936 2000 2057 2125 2200 2312 2390 2414 2420 2629 2750 2840 2890 2992 3025 3124 3179 3400 3550 3740 3824 3905 4063 4114 4250 4400 4624 4675 4780 4828 4840 5041 5258 5500 5680 5780 5975 6035 6050 6248 6358 6800 7100 7225 7480 7810 8126 8228 8500 8591 8875 9350 9560 9656 9680 10082 10285 10516 11000 11560 11950 12070 12100 12496 12716 13145 13277 14200 14450 14960 15125 15620 15895 16252 16456 16969 17000 17182 17750 18700 19120 19312 19525 20164 20315 20519 20570 21032 22000 23120 23375 23900 24140 24200 25205 25432 26290 26554 28400 28900 28919 29875 30175 30250 31240 31790 32504 32912 33938 34000 34364 34969 35500 36125 37400 39050 40328 40630 41038 41140 42064 42955 44693 46750 47800 48280 48400 50410 50864 51425 52580 53108 55451 57121 57800 57838 59750 60350 60500 62480 63580 65008 65725 66385 67876 68728 69071 69938 71000 72250 74800 78100 79475 80656 81260 82076 82280 84845 85697 85910 89386 93500 95600 96560 97625 100820 101575 102595 102850 105160 106216 110902 114242 115600 115676 119500 120700 121000 126025 127160 131450 132770 135752 137456 138142 139876 142000 144500 144595 146047 150875 156200 158950 162520 164152 164560 169690 171394 171820 174845 178772 186659 187000 195250 201640 203150 205190 205700 210320 212432 214775 221804 223465 225709 228484 231352 239000 241400 242000 252050 254320 257125 262900 265540 271504 276284 277255 279752 285605 288473 289000 289190 292094 301750 312400 317900 325040 328304 328625 331925 339380 342788 343640 345355 349690 357544 373318 374000 390500 397375 403280 406300 410380 411400 424225 428485 429550 443608 446930 451418 456968 462704 478000 482800 491623 504100 507875 512975 514250 525800 531080 552568 554510 559504 571210 576946 578000 578380 584188 603500 609961 628331 630125 635800 657250 663850 678760 685576 687280 690710 699380 715088 722975 730235 746636 759781 781000 794750 812600 820760 822800 848450 856970 859100 874225 887216 893860 902836 913936 933295 942667 971057 983246 1008200 1015750 1025950 1028500 1051600 1062160 1073875 1105136 1109020 1117325 1128545 1142420 1153892 1156760 1168376 1204799 1207000 1219922 1256662 1260250 1271600 1314500 1327700 1357520 1371152 1381420 1386275 1398760 1428025 1442365 1445950 1456849 1460470 1493272 1519562 1562000 1589500 1625200 1641520 1659625 1696900 1713940 1718200 1726775 1748450 1787720 1805672 1866590 1885334 1942114 1966492 2016400 2031500 2051900 2053249 2057000 2121125 2142425 2147750 2218040 2234650 2257090 2284840 2307784 2313520 2336752 2409598 2414000 2439844 2458115 2482799 2513324 2520500 2564875 2629000 2655400 2762840 2772550 2797520 2856050 2884730 2891900 2913698 2920940 2986544 3039124 3049805 3141655 3173203 3179000 3319250 3393800 3427880 3436400 3453550 3496900 3575440 3611344 3614875 3651175 3733180 3770668 3798905 3884228 3932984 4055591 4063000 4103800 4106498 4114000 4242250 4284850 4295500 4371125 4436080 4469300 4514180 4569680 4615568 4666475 4713335 4819196 4855285 4879688 4904041 4916230 4965598 5026648 5041000 5129750 5258000 5310800 5525680 5545100 5586625 5642725 5712100 5769460 5783800 5827396 5841880 6023995 6078248 6099610 6283310 6346406 6358000 6638500 6787600 6855760 6907100 6911641 6931375 6993800 7140125 7211825 7229750 7284245 7302350 7466360 7541336 7597810 7768456 7865968 8111182 8126000 8207600 8212996 8357591 8484500 8569700 8591000 8633875 8742250 8938600 9028360 9332950 9426670 9638392 9710570 9759376 9808082 9832460 9931196 10053296 10082000 10259500 10266245 10369337 10681627 10712125 11090200 11173250 11285450 11424200 11538920 11567600 11654792 11683760 12047990 12156496 12199220 12290575 12413995 12566620 12692812 13252789 13277000 13814200 13823282 13862750 13987600 14280250 14423650 14459500 14568490 14604700 14932720 15082672 15195620 15249025 15536912 15708275 15866015 16025339 16222364 16425992 16507969 16715182 16969000 17139400 17182000 17267750 17484500 17877200 18056720 18255875 18665900 18853340 18994525 19276784 19421140 19616164 19664920 19862392 20277955 20481583 20519000 20532490 20738674 21363254 21424250 22180400 22346500 22570900 22848400 23077840 23309584 23332375 23566675 24095980 24276425 24398440 24520205 24581150 24827990 25133240 25385624 26505578 26554000 27628400 27646564 27725500 28213625 28560500 28847300 28919000 29136980 29209400 30119975 30391240 30498050 31416550 31732030 32050678 32444728 32851984 33015938 33430364 33938000 34278800 34535500 34558205 34905233 34969000 36059125 36421225 36511750 37331800 37706680 37989050 38842280 39232328 39329840 39724784 40555910 40963166 41038000 41064980 41477348 41787955 42726508 42848500 44611501 44693000 45141800 46664750 47133350 48191960 48552850 48796880 49040410 49162300 49655980 50266480 50771248 51331225 51846685 53011156 53408135 53944451 55293128 55451000 56427250 57121000 57694600 57838000 58273960 58418800 60239950 60782480 60996100 61452875 62069975 62833100 63464060 64101356 64889456 66031876 66263945 66860728 68945047 69071000 69116410 69810466 69938000 72118250 72842450 73023500 74663600 75413360 75978100 76245125 77684560 78464656 78541375 79330075 80126695 81111820 81926332 82129960 82539845 82954696 83575910 85453016 85697000 89223002 89386000 90283600 93329500 94266700 94972625 96383920 97105700 98080820 98324600 99311960 101389775 102407915 102662450 103693370 106022312 106816270 107888902 110586256 110902000 112854500 114242000 115389200 116547920 117497897 117833375 120479900 121382125 121992200 122601025 122905750 124139950 125666200 126928120 128202712 132063752 132527890 133721456 137890094 138142000 138232820 139620932 144236500 145684900 145780679 146047000 150599875 151956200 152490250 157082750 158660150 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490404100 490726511 491623000 496559800 506948875 512039575 513312250 518466850 530111560 534081350 539444510 551560376 552931280 558483728 575893922 576946000 582739600 583122716 587489485 593388961 602399500 609961000 613005125 620699750 628331000 634640600 641013560 660318760 662639450 668607280 689450470 691164100 696373822 698104660 705114916 713784016 726350636 728424500 728903395 758395517 759781000 793300750 801266950 811118200 819263320 821299600 825398450 829546960 835759100 854530160 863111216 863955125 872630825 881393645 892230020 901189652 907938295 939983176 942667000 971057000 980808200 981453022 983246000 993119600 1013897750 1024079150 1026624500 1036933700 1044698875 1060223120 1068162700 1078889020 1103120752 1115287525 1126487065 1151787844 1166245432 1172065799 1174978970 1186777922 1204799000 1219922000 1226010250 1241399500 1256662000 1269281200 1282027120 1296167125 1320637520 1325278900 1335203375 1348611275 1378900940 1382328200 1392747644 1396209320 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4178795500 4272650800 4315556080 4363154125 4406968225 4461150100 4505948260 4539691475 4607151376 4688263196 4699915880 4747111688 4895098337 4904041000 4907265110 4956543086 4965598000 5120395750 5184668500 5301115600 5340813500 5394445100 5515603760 5570990576 5576437625 5632435325 5758939220 5831227160 5860328995 5874894850 5933889610 6067164136 6334833142 6346406000 6410135600 6603187600 6626394500 6743056375 6894504700 6911641000 6963738220 6981046600 7051149160 7198674025 7263506360 7289033950 7583955170 7660112042 7851624176 7989856996 8012669500 8111182000 8192633200 8253984500 8342350687 8357591000 8618130875 8704672775 8726308250 8813936450 8922300200 9011896520 9079382950 9376526392 9399831760 9494223376 9790196674 9808082000 9814530220 9913086172 9987321245 10240791500 10369337000 10681627000 10788890200 11152875250 11264870650 11517878440 11662454320 11720657990 11749789700 11867779220 12134328272 12268162775 12391357715 12669666284 12892723789 13252789000 13486112750 13789009400 13823282000 13927476440 13962093200 14102298320 14397348050 14527012720 14578067900 14687237125 14834724025 15167910340 15320224084 15837082855 15979713992 16025339000 16507969000 16684701374 16715182000 17236261750 17409345550 17452616500 17627872900 17844600400 18023793040 18158765900 18222584875 18753052784 18959887925 19150280105 19580393348 19629060440 19826172344 19974642490 20481583000 20738674000 21363254000 21577780400 22034841125 22305750500 22529741300 22698457375 23035756880 23441315980 23499579400 23735558440 24475491685 24536325550 24782715430 25339332568 25785447578 26505578000 26972225500 27578018800 27854952880 28162176625 28794696100 29156135800 29301644975 29374474250 29669448050 30335820680 30640448168 31674165710 31959427984 32050678000 33015938000 33369402748 34472523500 34818691100 34841582281 34905233000 35255745800 35993370125 36317531800 36445169750 37919775850 38300560210 39160786696 39258120880 39652344688 39949284980 40963166000 41711753435 42130616231 43523363875 44069682250 44611501000 45059482600 45396914750 46882631960 46999158800 47471116880 48950983370 49072651100 49565430860 49936606225 50678665136 51570895156 53846081707 53944451000 56324353250 57589392200 58312271600 58603289950 58748948500 59338896100 60671641360 61280896336 61340813875 61956788575 63348331420 64463618945 66738805496 68945047000 69637382200 69683164562 69810466000 70511491600 71986740250 72635063600 72890339500 74173620125 75839551700 76601120420 78321573392 79185414275 79898569960 83216671729 83423506870 84261232462 87046727750 88139364500 89223002000 90118965200 90793829500 93765263920 94799439625 95751400525 97901966740 98145302200 99130861720 99873212450 103141790312 107692163414 107888902000 112648706500 115178784400 117206579900 117497897000 118677792200 122377458425 122681627750 123913577150 126696662840 128927237890 133477610992 137890094000 139274764400 139366329124 141819961679 143973480500 145780679000 146508224875 148347240250 151679103400 153202240840 158370828550 159797139920 166433343458 166847013740 168522464924 174093455500 174207911405 176278729000 181587659000 189598879250 191502801050 195803933480 196290604400 198261723440 199746424900 206283580624 208558767175 210653081155 215384326828 225297413000 234413159800 234995794000 237355584400 244754916850 245363255500 247827154300 249683031125 253393325680 257854475780 269230408535 278732658248 283639923358 287946961000 291561358000 293016449750 296694480500 303358206800 306404481680 309783942875 316741657100 322318094725 332866686916 333694027480 337044929848 348186911000 348415822810 352557458000 363175318000 379197758500 383005602100 391607866960 395927071375 399492849800 416083358645 417117534350 421306162310 430768653656 450594826000 468826319600 478757002625 489509833700 490726511000 495654308600 499366062250 515708951560 538460817070 557465316496 567279846716 575893922000 586032899500 592306898777 593388961000 611887292125 619567885750 633483314200 644636189450 665733373832 667388054960 674089859696 696373822000 696831645620 709099808395 758395517000 766011204200 791854142750 798985699600 832166717290 834235068700 842612324620 861537307312 871039557025 915383389019 957514005250 979019667400 981453022000 991308617200 998732124500 1031417903120 1042793835875 1053265405775 1076921634140 1134559693432 1172065799000 1184613797554 1186777922000 1223774584250 1239135771500 1266966628400 1289272378900 1331466747664 1346152042675 1393663291240 1418199616790 1516791034000 1532022408400 1583708285500 1611590473625 1664333434580 1668470137400 1685224649240 1742079114050 1830766778038 1915028010500 1958039334800 1997464249000 2080416793225 2085587671750 2106530811550 2153843268280 2269119386864 2344131598000 2369227595108 2447549168500 2478271543000 2578544757800 2692304085350 2787326582480 2836399233580 2961534493885 3167416571000 3223180947250 3328666869160 3336940274800 3370449298480 3484158228100 3545499041975 3661533556076 3830056021000 3994928498000 4160833586450 4171175343500 4213061623100 4307686536560 4355197785125 4576916945095 4738455190216 4895098337000 4956543086000 5157089515600 5266327028875 5384608170700 5672798467160 5923068987770 6334833142000 6446361894500 6657333738320 6730760213375 6968316456200 7090998083950 7323067112152 7660112042000 8321667172900 8342350687000 8426123246200 8710395570250 9153833890190 9476910380432 9790196674000 10069217279209 10402083966125 10532654057750 10769216341400 11345596934320 11846137975540 12892723789000 13461520426750 13936632912400 14181996167900 14646134224304 14807672469425 16643334345800 16684701374000 16852246492400 17420791140500 17727495209875 18307667780380 20138434558418 20804167932250 21065308115500 21538432682800 22884584725475 23692275951080 25785447578000 26923040853500 28363992335800 29615344938850 33286668691600 34841582281000 35454990419750 36615335560760 40276869116836 41608335864500 42130616231000 45769169450950 47384551902160 50346086396045 53846081707000 56727984671600 59230689877700 69683164562000 70909980839500 73230671121520 74038362347125 80553738233672 83216671729000 84261232462000 91538338901900 100692172792090 107692163414000 114422923627375 118461379755400 141819961679000 148076724694250 161107476467344 166433343458000 183076677803800 201384345584180 228845847254750 236922759510800 251730431980225 283639923358000 296153449388500 366153355607600 402768691168360 457691694509500 503460863960450 592306898777000 805537382336720 915383389019000 1006921727920900 1184613797554000 1258652159901125 1830766778038000 2013843455841800 2517304319802250 4027686911683600 5034608639604500 10069217279209000 20138434558418000
• Sum of all divisors σ(n): 57912033565537788
• Sum of proper divisors (its aliquot sum) s(n): 37773599007119788
• 20138434558418000 is an abundant number, because the sum of its proper divisors (37773599007119788) is greater than itself. Its abundance is 17635164448701788

Bases of 20138434558418000

• Binary: 1000111100010111100110010101110001011111101110001010000₂
• Hexadecimal: 0x478BCCAE2FDC50
• Base-36: 5IAH9493YVK

Squares and roots of 20138434558418000

• 20138434558418000 squared (20138434558418000²) is 405556546463684386654662724000000
• 20138434558418000 cubed (20138434558418000³) is 8167273970696916980633113886457665010632000000000
• The square root of 20138434558418000 is 141909952.2881253033
• The cube root of 20138434558418000 is 272066.6042128373

Scales and comparisons

• 20,138,434,558,418,000 seconds is equal to 640,339,926 years, 35 weeks, 6 days, 33 minutes, 20 seconds.
• To count from 1 to 20,138,434,558,418,000 would take you about one billion, nine hundred twenty-one million, nineteen thousand, seven hundred eighty 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 20138434558418000 cubic inches would be around 22672.2 feet tall.

Recreational maths with 20138434558418000

• 20138434558418000 backwards is 00081485543483102
• The number of decimal digits it has is: 17
• The sum of 20138434558418000's digits is 56
• More coming soon!