420418020138144

Names of 420418020138144

• Cardinal: 420418020138144 can be written as Four hundred twenty trillion, four hundred eighteen billion, twenty million, one hundred thirty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.20418020138144 × 10¹⁴

Factors of 420418020138144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 292

Divisors of 420418020138144

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 263 272 289 294 336 357 392 408 476 526 544 578 588 672 714 784 789 816 833 867 952 1052 1156 1176 1428 1568 1578 1632 1666 1734 1841 1904 2023 2104 2312 2352 2499 2856 3156 3332 3468 3682 3808 4046 4208 4471 4624 4704 4913 4998 5523 5712 6069 6312 6664 6936 7364 8092 8416 8942 9248 9826 9996 11046 11424 12138 12624 12887 13328 13413 13872 14161 14728 14739 16184 17884 19652 19992 22092 24276 25248 25774 26656 26826 27744 28322 29456 29478 31297 32368 34391 35768 38661 39304 39984 42483 44184 48552 51548 53652 56644 58912 58956 62594 64736 68782 69169 71536 76007 77322 78608 79968 84966 88368 93891 97104 103096 103173 107304 113288 117912 125188 137564 138338 143072 152014 154644 157216 169932 176736 187782 194208 206192 206346 207507 214608 219079 226576 228021 235824 240737 250376 275128 276676 304028 309288 339864 375564 412384 412692 415014 429216 438158 453152 456042 471648 481474 484183 500752 532049 550256 553352 608056 618576 657237 679728 722211 751128 825384 830028 876316 912084 962948 968366 1001504 1064098 1100512 1106704 1175873 1216112 1237152 1292119 1314474 1359456 1444422 1452549 1502256 1596147 1650768 1660056 1752632 1824168 1925896 1936732 2128196 2213408 2351746 2432224 2584238 2628948 2888844 2905098 3004512 3192294 3301536 3320112 3389281 3505264 3527619 3648336 3724343 3851792 3873464 3876357 4256392 4703492 5168476 5257896 5777688 5810196 6384588 6640224 6778562 7010528 7055238 7296672 7448686 7703584 7746928 7752714 8231111 8512784 9044833 9406984 10167843 10336952 10515792 11173029 11555376 11620392 12769176 13557124 14110476 14897372 15493856 15505428 16462222 17025568 18089666 18191447 18813968 19989841 20335686 20673904 21031584 22346058 23110752 23240784 24693333 25538352 27114248 27134499 28220952 29794744 31010856 32924444 36179332 36382894 37627936 39979682 40671372 41347808 44692116 46481568 49386666 51076704 54228496 54268998 54574341 56441904 57617777 59589488 59969523 62021712 63313831 65848888 72358664 72765788 79959364 81342744 89384232 98773332 108456992 108537996 109148682 112883808 115235554 119178976 119939046 124043424 126627662 127340129 131697776 139928887 144717328 145531576 159918728 162685488 172853331 178768464 189941493 197546664 217075992 218297364 230471108 239878092 253255324 254680258 263395552 279857774 289434656 291063152 309254599 319837456 325370976 339827297 345706662 357536928 379882986 382020387 395093328 419786661 434151984 436594728 460942216 479756184 506510648 509360516 559715548 582126304 618509198 639674912 679654594 691413324 759765972 764040774 790186656 839573322 868303968 873189456 891380903 921884432 927763797 959512368 979502209 1013021296 1018721032 1019481891 1119431096 1237018396 1359309188 1382826648 1519531944 1528081548 1679146644 1746378912 1782761806 1843768864 1855527594 1919024736 1959004418 2026042592 2037442064 2038963782 2164782193 2238862192 2378791079 2474036792 2674142709 2718618376 2765653296 2938506627 3039063888 3056163096 3358293288 3565523612 3711055188 3918008836 4074884128 4077927564 4329564386 4477724384 4757582158 4948073584 5257328183 5348285418 5437236752 5531306592 5877013254 6078127776 6112326192 6494346579 6716586576 7131047224 7136373237 7422110376 7836017672 8155855128 8659128772 9515164316 9896147168 10514656366 10696570836 10874473504 11754026508 12224652384 12988693158 13433173152 14262094448 14272746474 14844220752 15153475351 15672035344 15771984549 16311710256 16651537553 17318257544 19030328632 21029312732 21393141672 23508053016 25977386316 28524188896 28545492948 29688441504 30306950702 31344070688 31543969098 32623420512 33303075106 34636515088 36801297281 38060657264 42058625464 42786283344 45460426053 47016106032 49954612659 51954772632 57090985896 60613901404 63087938196 66606150212 69273030176 73602594562 76121314528 84117250928 85572566688 89374579111 90920852106 94032212064 99909225318 103909545264 110403891843 114181971792 121227802808 126175876392 133212300424 147205189124 168234501856 178749158222 181841704212 199818450636 207819090528 220807783686 228363943584 242455605616 252351752784 257609080967 266424600848 268123737333 294410378248 357498316444 363683408424 399636901272 441615567372 484911211232 504703505568 515218161934 532849201696 536247474666 588820756496 625622053777 714996632888 727366816848 772827242901 799273802544 883231134744 1030436323868 1072494949332 1177641512992 1251244107554 1429993265776 1454733633696 1545654485802 1598547605088 1766462269488 1876866161331 2060872647736 2144989898664 2502488215108 2859986531552 3091308971604 3532924538976 3753732322662 4121745295472 4289979797328 4379354376439 5004976430216 6182617943208 7507464645324 8243490590944 8579959594656 8758708752878 10009952860432 12365235886416 13138063129317 15014929290648 17517417505756 20019905720864 24730471772832 26276126258634 30029858581296 35034835011512 52552252517268 60059717162592 70069670023024 105104505034536 140139340046048 210209010069072 420418020138144
• Sum of all divisors σ(n): 1369202243270400
• Sum of proper divisors (its aliquot sum) s(n): 948784223132256
• 420418020138144 is an abundant number, because the sum of its proper divisors (948784223132256) is greater than itself. Its abundance is 528366202994112

Bases of 420418020138144

• Binary: 1011111100101111000110010101111110101110010100000₂
• Hexadecimal: 0x17E5E32BF5CA0
• Base-36: 450XDEBGYO

Squares and roots of 420418020138144

• 420418020138144 squared (420418020138144²) is 176751311656876853928843764736
• 420418020138144 cubed (420418020138144³) is 74309436503604219510121312568801135755689984
• The square root of 420418020138144 is 20504097.6426211939
• The cube root of 420418020138144 is 74913.5608679225

Scales and comparisons

• 420,418,020,138,144 seconds is equal to 13,367,992 years, 31 weeks, 2 days, 3 hours, 42 minutes, 24 seconds.
• To count from 1 to 420,418,020,138,144 would take you about thirty-three million, four hundred nineteen thousand, nine hundred eighty-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 420418020138144 cubic inches would be around 6242.8 feet tall.

Recreational maths with 420418020138144

• 420418020138144 backwards is 441831020814024
• 420418020138144 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 420418020138144's digits is 42
• More coming soon!