138315735509280

Names of 138315735509280

• Cardinal: 138315735509280 can be written as One hundred thirty-eight trillion, three hundred fifteen billion, seven hundred thirty-five million, five hundred nine thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.3831573550928 × 10¹⁴

Factors of 138315735509280

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3082

Divisors of 138315735509280

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 24 28 30 32 34 35 38 40 42 48 51 56 57 60 68 70 76 80 84 85 95 96 102 105 109 112 114 119 120 133 136 140 152 160 168 170 190 204 210 218 224 228 238 240 255 266 272 280 285 304 323 327 336 340 357 380 399 408 420 436 456 476 479 480 510 532 544 545 560 570 595 608 646 654 665 672 680 714 760 763 798 816 840 872 912 952 958 969 1020 1064 1090 1120 1140 1190 1292 1308 1330 1360 1428 1437 1520 1526 1596 1615 1632 1635 1680 1744 1785 1824 1853 1904 1916 1938 1995 2040 2071 2128 2180 2261 2280 2289 2380 2395 2441 2584 2616 2660 2720 2856 2874 3040 3052 3192 3230 3270 3353 3360 3488 3570 3706 3808 3815 3832 3876 3990 4080 4142 4256 4360 4522 4560 4578 4760 4790 4845 4882 5168 5232 5320 5559 5712 5748 6104 6213 6384 6460 6540 6706 6783 7140 7185 7323 7412 7630 7664 7752 7980 8143 8160 8284 8720 9044 9101 9120 9156 9265 9520 9580 9690 9764 10059 10336 10355 10464 10640 11118 11305 11424 11445 11496 12205 12208 12426 12768 12920 12971 13080 13412 13566 14280 14370 14497 14646 14824 15260 15328 15504 15960 16286 16568 16765 17087 17440 18088 18202 18312 18530 19040 19160 19380 19528 20118 20710 21280 22236 22610 22890 22992 24410 24416 24429 24852 25840 25942 26160 26824 27132 27303 27795 28560 28740 28994 29292 29648 30520 31008 31065 31920 32572 33136 33530 33915 34174 35207 36176 36404 36615 36624 37060 38320 38760 38913 39056 40236 40715 41420 41497 43491 44472 45220 45505 45780 45984 46379 48820 48858 49704 50295 51261 51680 51884 52211 52320 53648 54264 54606 55590 57001 57120 57480 57988 58584 59296 61040 62130 63707 63840 64855 65144 66272 67060 67830 68348 70414 72352 72485 72808 73230 73248 74120 76640 77520 77826 78112 80472 81430 82840 82994 85435 86982 88944 90440 91010 91560 92758 97640 97716 99408 100590 102522 103768 104422 105621 107296 108528 109212 111180 114002 114960 115976 117168 122080 122145 124260 124491 127414 129710 130288 134120 135660 136515 136696 139137 140828 144970 145616 146460 148240 154717 155040 155652 156633 160944 162860 165680 165988 170870 171003 173964 176035 177888 180880 182020 183120 185516 191121 194565 195280 195432 198816 201180 205044 207485 207536 208844 211242 217056 217455 218424 222360 228004 229920 231895 231952 234336 244290 246449 248520 248982 254828 256305 259420 260576 261055 266069 268240 271320 273030 273392 278274 281656 285005 289940 290479 291232 292920 296480 309434 311304 313266 318535 321888 324653 325720 331360 331976 341740 342006 347928 352070 361760 364040 365477 366240 371032 382242 389130 390560 390864 402360 410088 414970 415072 417688 422484 434910 436848 444720 456008 463790 463904 464151 488580 492898 497040 497964 509656 512610 518840 522110 528105 532138 536480 542640 546060 546784 556548 563312 570010 579880 580958 585840 618868 622455 622608 626532 637070 649306 651440 663952 683480 684012 695685 695856 704140 728080 730954 739347 742064 764484 773585 778260 781728 783165 788443 798207 804720 820176 829940 835376 844968 855015 869820 871437 873696 887587 889440 912016 927580 928302 955605 973959 977160 985796 992009 994080 995928 1019312 1025220 1037680 1044220 1056210 1064276 1083019 1085280 1092120 1096431 1113096 1126624 1140020 1159760 1161916 1169239 1171680 1232245 1237736 1244910 1245216 1253064 1274140 1298612 1302880 1327904 1330345 1366960 1368024 1391370 1391712 1408280 1452395 1456160 1461908 1478694 1484128 1528968 1547170 1556520 1566330 1576886 1596414 1609440 1623265 1640352 1659880 1670752 1689936 1710030 1739640 1742874 1775174 1824032 1827385 1855160 1856604 1862483 1911210 1947918 1954320 1971592 1984018 1991856 2038624 2050440 2075360 2088440 2112420 2128552 2166038 2184240 2192862 2226192 2280040 2319520 2320755 2323832 2338478 2365329 2464490 2475472 2489820 2506128 2548280 2597224 2660690 2662761 2733920 2736048 2782740 2816560 2904790 2923816 2957388 2976027 3057936 3094340 3113040 3132660 3153772 3192828 3246530 3249057 3319760 3379872 3420060 3479280 3485748 3507717 3550348 3654770 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491080380 497048720 505924590 506595376 509788204 515641722 519849120 529833696 530807655 533172984 539652896 542780760 555525040 556557764 561234720 566194832 590245355 596311890 596458464 601582009 606637320 622035148 633244220 636066016 637235255 654773840 662292120 666466230 666630048 674566120 687522296 695697205 707743540 708294426 710897312 723707680 745573080 755328394 759893064 764682306 777543935 785728608 795082520 808849760 809479344 833287560 834836646 849292248 859402870 883056160 888621640 892129357 893991840 933052722 944392568 949866330 954099024 982160760 994097440 1011849180 1013190752 1019576408 1031283444 1061615310 1066345968 1085561520 1111050080 1113115528 1132389664 1132992591 1180490710 1192623780 1203164018 1213274640 1244070296 1266488440 1274470510 1289104305 1309547680 1324584240 1332932460 1349132240 1375044592 1391394410 1415487080 1416588852 1491146160 1510656788 1519786128 1529364612 1555087870 1590165040 1618958688 1666575120 1669673292 1698584496 1718805740 1770736065 1777243280 1784258714 1804746027 1866105444 1888320985 1888785136 1899732660 1908198048 1911705765 1964321520 2023698360 2039152816 2062566888 2087091615 2123230620 2132691936 2166599867 2171123040 2226231056 2265985182 2332631805 2360981420 2385247560 2406328036 2421493969 2426549280 2488140592 2532976880 2548941020 2578208610 2643649379 2649168480 2665864920 2676388071 2698264480 2750089184 2782788820 2830974160 2833177704 2982292320 3007910045 3021313576 3039572256 3058729224 3110175740 3180330080 3333150240 3339346584 3397168992 3437611480 3541472130 3554486560 3568517428 3609492054 3732210888 3776641970 3777570272 3799465320 3823411530 3928643040 4047396720 4078305632 4125133776 4174183230 4246461240 4333199734 4452462112 4460646785 4531970364 4665263610 4721962840 4770495120 4812656072 4842987938 4976281184 5065953760 5097882040 5156417220 5287298758 5331729840 5352776142 5565577640 5661948320 5664962955 5666355408 6015820090 6042627152 6117458448 6220351480 6499799601 6678693168 6875222960 7082944260 7137034856 7218984108 7264481907 7464421776 7553283940 7598930640 7646823060 7930948137 8094793440 8250267552 8348366460 8492922480 8666399468 8921293570 9023730135 9063940728 9330527220 9443925680 9540990240 9625312144 9685975876 10195764080 10312834440 10574597516 10663459680 10705552284 10832999335 11131155280 11329925910 11332710816 12031640180 12085254304 12107469845 12234916896 12440702960 12999599202 13218246895 13357386336 13381940355 13750445920 14165888520 14274069712 14437968216 14528963814 14928843552 15106567880 15166199069 15197861280 15293646120 15861896274 16696732920 16950457783 16985844960 17332798936 17842587140 18047460270 18127881456 18661054440 18887851360 19250624288 19371951752 20391528160 20625668880 21149195032 21411104568 21665998670 22262310560 22659851820 24063280360 24214939690 24881405920 25999198404 26436493790 26763880710 28331777040 28548139424 28875936432 29057927628 30213135760 30332398138 30587292240 31723792548 32498998005 33393465840 33900915566 34665597872 35685174280 36094920540 36255762912 36322409535 37322108880 38743903504 39654740685 41165397473 41251337760 42298390064 42822209136 43331997340 45319703640 45498597207 48126560720 48429879380 50851373349 51998396808 52872987580 53527761420 56663554080 57751872864 58115855256 60426271520 60664796276 61174584480 63447585096 64997996010 66786931680 67801831132 69331195744 71370348560 72189841080 72644819070 74644217760 75830995345 77487807008 79309481370 82330794946 84596780128 84752288915 85644418272 86663994680 90639407280 90997194414 96253121440 96859758760 101702746698 103996793616 105745975160 107055522840 116231710512 121329592552 123496192419 126895170192 129995992020 135603662264 142740697120 144379682160 145289638140 151661990690 158618962740 164661589892 169504577830 173327989360 181278814560 181994388828 193719517520 203405493396 205826987365 207993587232 211491950320 214111045680 227492986035 232463421024 242659185104 246992384838 253790340384 254256866745 259991984040 271207324528 288157782311 288759364320 290579276280 303323981380 317237925480 329323179784 339009155660 346655978720 363988777656 387439035040 406810986792 411653974730 422983900640 428222091360 454985972070 485318370208 493984769676 508513733490 519983968080 542414649056 576315564622 581158552560 606647962760 617480962095 634475850960 658646359568 678018311320 727977555312 813621973584 823307949460 864473346933 909971944140 987969539352 1017027466980 1039967936160 1152631129244 1162317105120 1213295925520 1234961924190 1268951701920 1317292719136 1356036622640 1440788911555 1455955110624 1627243947168 1646615898920 1728946693866 1819943888280 1975939078704 2034054933960 2305262258488 2426591851040 2469923848380 2712073245280 2881577823110 3293231797840 3457893387732 3639887776560 3951878157408 4068109867920 4322366734665 4610524516976 4939847696760 5763155646220 6586463595680 6915786775464 7279775553120 8136219735840 8644733469330 9221049033952 9879695393520 11526311292440 13831573550928 17289466938660 19759390787040 23052622584880 27663147101856 34578933877320 46105245169760 69157867754640 138315735509280
• Sum of all divisors σ(n): 561466515456000
• Sum of proper divisors (its aliquot sum) s(n): 423150779946720
• 138315735509280 is an abundant number, because the sum of its proper divisors (423150779946720) is greater than itself. Its abundance is 284835044437440

Bases of 138315735509280

• Binary: 11111011100110000100100010010000010100100100000₂
• Hexadecimal: 0x7DCC24482920
• Base-36: 1D11DDPRMO

Squares and roots of 138315735509280

• 138315735509280 squared (138315735509280²) is 19131242689473100300966118400
• 138315735509280 cubed (138315735509280³) is 2646151903801007907751710397869048778752000
• The square root of 138315735509280 is 11760771.0422948035
• The cube root of 138315735509280 is 51715.8733836929

Scales and comparisons

• 138,315,735,509,280 seconds is equal to 4,398,012 years, 28 weeks, 4 days, 9 hours, 28 minutes.
• To count from 1 to 138,315,735,509,280 would take you about ten million, nine hundred ninety-five thousand and thirty-one 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 138315735509280 cubic inches would be around 4309.7 feet tall.

Recreational maths with 138315735509280

• 138315735509280 backwards is 082905537513831
• 138315735509280 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138315735509280's digits is 60
• More coming soon!