420653157816320

Names of 420653157816320

• Cardinal: 420653157816320 can be written as Four hundred twenty trillion, six hundred fifty-three billion, one hundred fifty-seven million, eight hundred sixteen thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.2065315781632 × 10¹⁴

Factors of 420653157816320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1045

Divisors of 420653157816320

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 17 20 22 26 32 34 40 44 52 55 64 65 68 80 85 88 104 110 128 130 136 143 160 170 176 187 208 220 221 256 260 272 286 289 320 340 352 374 416 440 442 512 520 544 572 578 640 680 704 715 748 832 880 884 935 997 1024 1040 1088 1105 1144 1156 1280 1360 1408 1430 1445 1496 1664 1760 1768 1870 1994 2048 2080 2176 2210 2288 2312 2431 2560 2720 2816 2860 2890 2992 3179 3328 3520 3536 3740 3757 3988 4160 4352 4420 4576 4624 4862 4985 5120 5440 5632 5720 5780 5984 6358 6656 7040 7072 7480 7514 7976 8320 8704 8840 9152 9248 9724 9970 10240 10880 10967 11264 11440 11560 11968 12155 12716 12961 13312 14080 14144 14960 15028 15895 15952 16640 16949 17408 17680 18304 18496 18785 19448 19940 21760 21934 22528 22880 23120 23936 24310 25432 25922 26624 28160 28288 29920 30056 31790 31904 33280 33898 34816 35360 36608 36992 37570 38896 39880 41327 43520 43868 45760 46240 47872 48620 50864 51844 54835 56320 56576 59840 60112 63580 63808 64805 66560 67796 70720 73216 73984 75140 77792 79760 82654 84745 87040 87736 91520 92480 95744 97240 101728 103688 109670 112640 113152 119680 120224 127160 127616 129610 133120 135592 141440 142571 146432 147968 150280 155584 159520 165308 169490 174080 175472 183040 184960 186439 191488 194480 203456 206635 207376 219340 220337 226304 239360 240448 254320 255232 259220 271184 282880 285142 288133 292864 295936 300560 311168 319040 330616 338980 350944 366080 369920 372878 382976 388960 406912 413270 414752 438680 440674 452608 478720 480896 508640 510464 518440 542368 565760 570284 576266 591872 601120 622336 638080 661232 677960 701888 712855 732160 739840 745756 777920 813824 826540 829504 877360 881348 932195 957440 961792 994009 1017280 1020928 1036880 1084736 1101685 1131520 1140568 1152532 1202240 1244672 1276160 1322464 1355920 1403776 1425710 1440665 1464320 1479680 1491512 1555840 1627648 1653080 1659008 1754720 1762696 1864390 1914880 1923584 1988018 2034560 2041856 2073760 2169472 2203370 2263040 2281136 2305064 2404480 2423707 2489344 2552320 2644928 2711840 2807552 2851420 2881330 2959360 2983024 3111680 3169463 3255296 3306160 3318016 3509440 3525392 3728780 3745729 3847168 3976036 4069120 4147520 4338944 4406740 4562272 4610128 4808960 4847414 4970045 4978688 5104640 5289856 5423680 5615104 5702840 5762660 5966048 6223360 6338926 6510592 6612320 6636032 7018880 7050784 7457560 7491458 7694336 7952072 8138240 8295040 8677888 8813480 9124544 9220256 9617920 9694828 9940090 10209280 10579712 10847360 10934099 11230208 11405680 11525320 11932096 12118535 12446720 12677852 12922117 13224640 13272064 14037760 14101568 14915120 14982916 15847315 15904144 16276480 16590080 16898153 17355776 17626960 18249088 18440512 18728645 19235840 19389656 19880180 21159424 21694720 21868198 22460416 22811360 23050640 23864192 24237070 24893440 25355704 25844234 26449280 26544128 28075520 28203136 29830240 29965832 31694630 31808288 32552960 33180160 33796306 34711552 35253920 36498176 36881024 37457290 38471680 38779312 39760360 41203019 42318848 43389440 43736396 45622720 46101280 47728384 48474140 50711408 51688468 52898560 54670495 56151040 56406272 59660480 59931664 63389260 63616576 64610585 66360320 67592612 70507840 72996352 73762048 74914580 77558624 79520720 82406038 84490765 84637696 86778880 87472792 91245440 92202560 95456768 96948280 101422816 103376936 105797120 109340990 112302080 112812544 119320960 119863328 126778520 127233152 129221170 132720640 135185224 141015680 142143287 145992704 147524096 149829160 155117248 159041440 164812076 168981530 173557760 174945584 182490880 184405120 185879683 190913536 193896560 202845632 206015095 206753872 211594240 218681980 219675989 225625088 238641920 239726656 253557040 254466304 258442340 270370448 282031360 284286574 287268601 291985408 295048192 299658320 310234496 318082880 329624152 337963060 349891168 364981760 368810240 371759366 381827072 387793120 405691264 412030190 413507744 423188480 437363960 439351978 451250176 477283840 479453312 507114080 508932608 516884680 540740896 564062720 568573148 574537202 590096384 599316640 620468992 636165760 659248304 675926120 699782336 710716435 729963520 737620480 743518732 775586240 811382528 824060380 827015488 874727920 878703956 929398415 954567680 958906624 1014228160 1017865216 1033769360 1081481792 1098379945 1128125440 1137146296 1149074404 1198633280 1240937984 1272331520 1318496608 1351852240 1399564672 1421432870 1436343005 1459927040 1475240960 1487037464 1551172480 1622765056 1648120760 1654030976 1749455840 1757407912 1858796830 1909135360 1917813248 2028456320 2035730432 2067538720 2162963584 2196759890 2256250880 2274292592 2298148808 2397266560 2416435879 2481875968 2544663040 2636993216 2703704480 2799129344 2842865740 2872686010 2950481920 2974074928 3102344960 3159954611 3245530112 3296241520 3308061952 3498911680 3514815824 3717593660 3734491813 3835626496 4056912640 4135077440 4325927168 4393519780 4548585184 4596297616 4794533120 4832871758 4963751936 5089326080 5273986432 5407408960 5598258688 5685731480 5745372020 5948149856 6204689920 6319909222 6491060224 6592483040 6616123904 6997823360 7029631648 7435187320 7468983626 7671252992 8113825280 8270154880 8651854336 8787039560 9097170368 9192595232 9589066240 9665743516 10178652160 10547972864 10814817920 11196517376 11371462960 11490744040 11896299712 12082179395 12409379840 12639818444 13184966080 13232247808 13995646720 14059263296 14870374640 14937967252 15799773055 16227650560 16540309760 17303708672 17574079120 18194340736 18385190464 18672459065 19178132480 19331487032 21095945728 21629635840 22393034752 22742925920 22981488080 23792599424 24164358790 24818759680 25279636888 26369932160 26464495616 27991293440 28118526592 29740749280 29875934504 31599546110 32455301120 33080619520 34607417344 35148158240 36388681472 36770380928 37344918130 38356264960 38662974064 41079409943 42191891456 43259271680 45485851840 45962976160 47585198848 48328717580 50559273776 52739864320 55982586880 56237053184 59481498560 59751869008 63199092220 66161239040 70296316480 72777362944 73540761856 74689836260 77325948128 82158819886 84383782912 86518543360 90971703680 91925952320 95170397696 96657435160 101118547552 105479728640 111965173760 112474106368 118962997120 119503738016 126398184440 132322478080 140592632960 145554725888 147081523712 149379672520 154651896256 164317639772 173037086720 181943407360 183851904640 190340795392 193314870320 202237095104 205397049715 210959457280 224948212736 237925994240 239007476032 252796368880 281185265920 291109451776 294163047424 298759345040 309303792512 328635279544 363886814720 367703809280 380681590784 386629740640 404474190208 410794099430 421918914560 449896425472 475851988480 478014952064 505592737760 562370531840 588326094848 597518690080 618607585024 657270559088 727773629440 735407618560 773259481280 808948380416 821588198860 951703976960 956029904128 1011185475520 1124741063680 1195037380160 1237215170048 1314541118176 1455547258880 1470815237120 1546518962560 1617896760832 1643176397720 1903407953920 1912059808256 2022370951040 2249482127360 2390074760320 2474430340096 2629082236352 2941630474240 3093037925120 3235793521664 3286352795440 3824119616512 4044741902080 4780149520640 4948860680192 5258164472704 6186075850240 6471587043328 6572705590880 7648239233024 8089483804160 9560299041280 10516328945408 12372151700480 13145411181760 16178967608320 19120598082560 21032657890816 24744303400960 26290822363520 32357935216640 38241196165120 42065315781632 52581644727040 84130631563264 105163289454080 210326578908160 420653157816320
• Sum of all divisors σ(n): 1260895078956240
• Sum of proper divisors (its aliquot sum) s(n): 840241921139920
• 420653157816320 is an abundant number, because the sum of its proper divisors (840241921139920) is greater than itself. Its abundance is 419588763323600

Bases of 420653157816320

• Binary: 1011111101001010011110010000010111001100000000000₂
• Hexadecimal: 0x17E94F20B9800
• Base-36: 453XE57YM8

Squares and roots of 420653157816320

• 420653157816320 squared (420653157816320²) is 176949079180841819910858342400
• 420653157816320 cubed (420653157816320³) is 74434188930111157780032814739978838867968000
• The square root of 420653157816320 is 20509830.7603041913
• The cube root of 420653157816320 is 74927.5245238945

Scales and comparisons

• 420,653,157,816,320 seconds is equal to 13,375,469 years, 13 weeks, 1 day, 1 hour, 25 minutes, 20 seconds.
• To count from 1 to 420,653,157,816,320 would take you about thirty-three million, four hundred thirty-eight thousand, six hundred seventy-three 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 420653157816320 cubic inches would be around 6244 feet tall.

Recreational maths with 420653157816320

• 420653157816320 backwards is 023618751356024
• The number of decimal digits it has is: 15
• The sum of 420653157816320's digits is 53
• More coming soon!