420870719994912

Names of 420870719994912

• Cardinal: 420870719994912 can be written as Four hundred twenty trillion, eight hundred seventy billion, seven hundred nineteen million, nine hundred ninety-four thousand, nine hundred twelve.

Scientific notation

• Scientific notation: 4.20870719994912 × 10¹⁴

Factors of 420870719994912

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 198

Divisors of 420870719994912

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 132 144 152 162 163 171 176 198 209 216 228 243 264 288 297 304 324 326 342 352 361 396 418 432 456 486 489 513 528 594 608 627 648 652 684 722 729 792 836 864 891 912 972 978 1026 1056 1083 1188 1254 1296 1304 1368 1444 1458 1467 1539 1584 1672 1782 1793 1824 1881 1944 1956 2052 2166 2187 2376 2508 2592 2608 2673 2736 2888 2916 2934 3078 3097 3168 3249 3344 3564 3586 3762 3888 3912 3971 4104 4332 4374 4401 4617 4752 5016 5216 5346 5379 5472 5643 5776 5832 5868 6156 6194 6498 6561 6688 6859 7128 7172 7524 7776 7824 7942 8019 8208 8664 8748 8802 9234 9291 9504 9747 10032 10692 10758 11286 11552 11664 11736 11913 12312 12388 12996 13122 13203 13718 13851 14256 14344 15048 15648 15884 16038 16137 16416 16929 17328 17496 17604 18468 18582 19494 20064 20577 21384 21516 22572 23328 23472 23826 24057 24624 24776 25992 26244 26406 26569 27436 27702 27873 28512 28688 29241 30096 31768 32076 32274 33858 34067 34656 34992 35208 35739 36936 37164 38988 39609 41154 41553 42768 43032 45144 46944 47652 48114 48411 49248 49552 50787 51984 52488 52812 53138 54872 55404 55746 57376 58482 58843 60192 61731 63536 64152 64548 67716 68134 69984 70416 71478 72171 73872 74328 75449 77976 79218 79707 82308 83106 83619 85536 86064 87723 90288 95304 96228 96822 99104 101574 102201 103968 104976 105624 106276 107217 109744 110808 111492 116964 117686 118827 123462 124659 127072 128304 129096 135432 136268 140832 142956 144342 145233 147744 148656 150898 152361 155952 158436 159414 164616 166212 167238 172128 175446 176529 180576 185193 190608 192456 193644 203148 204402 209952 211248 212552 214434 219488 221616 222984 226347 233928 235372 237654 239121 246924 249318 250857 256608 258192 263169 270864 272536 285912 288684 290466 292259 297312 301796 304722 306603 311904 316872 318828 321651 329232 332424 334476 350892 353058 356481 370386 381216 384912 387288 406296 408804 422496 425104 428868 435699 443232 445968 452694 457083 467856 470744 475308 478242 493848 498636 501714 504811 516384 526338 529587 541728 545072 555579 571824 577368 580932 584518 603592 609444 613206 633744 637656 643302 647273 658464 664848 668952 679041 701784 706116 712962 717363 740772 752571 769824 774576 789507 812592 817608 850208 857736 871398 876777 891936 905388 914166 919809 935712 941488 950616 956484 964953 987696 997272 1003428 1009622 1052676 1059174 1069443 1090144 1111158 1118017 1143648 1154736 1161864 1169036 1207184 1218888 1226412 1267488 1275312 1286604 1294546 1307097 1329696 1337904 1358082 1371249 1403568 1412232 1425924 1434726 1481544 1505142 1514433 1549152 1579014 1588761 1625184 1635216 1666737 1715472 1742796 1753554 1810776 1828332 1839618 1882976 1901232 1912968 1929906 1941819 1975392 1994544 2006856 2019244 2037123 2105352 2118348 2138886 2152089 2222316 2236034 2257713 2309472 2323728 2338072 2368521 2414368 2437776 2452824 2550624 2573208 2589092 2614194 2630331 2675808 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929702448 943724034 949549491 965966688 981352584 990041778 996153147 1029517128 1035872172 1086712524 1093420626 1104021657 1136302992 1180625952 1192072464 1199430936 1258298712 1266065988 1278340866 1308470112 1320055704 1328204196 1349359803 1372689504 1381162896 1394553672 1415586051 1440060768 1448950032 1457894168 1472028876 1544275692 1553808258 1599241248 1630068786 1640130939 1677731616 1688087984 1704454488 1760074272 1770938928 1788108696 1799146404 1859404896 1887448068 1899098982 1917511299 1962705168 1980083556 1992306294 2004604481 2059034256 2071744344 2173425048 2186841252 2208043314 2272605984 2330712387 2384144928 2398861872 2445103179 2516597424 2532131976 2556681732 2640111408 2656408392 2698719606 2762325792 2789107344 2831172102 2848648473 2897900064 2915788336 2944057752 2988459441 3088551384 3107616516 3260137572 3280261878 3312064971 3376175968 3408908976 3541877856 3576217392 3598292808 3774896136 3798197964 3835022598 3925410336 3960167112 3984612588 4009208962 4048079409 4118068512 4143488688 4246758153 4346850096 4373682504 4416086628 4661424774 4797723744 4890206358 4920392817 5033194848 5064263952 5113363464 5280222816 5312816784 5397439212 5578214688 5662344204 5697296946 5831576672 5888115504 5976918882 6013813443 6177102768 6215233032 6520275144 6560523756 6624129942 6817817952 6992137161 7152434784 7196585616 7335309537 7549792272 7596395928 7670045196 7920334224 7969225176 8018417924 8096158818 8286977376 8493516306 8545945419 8693700192 8747365008 8832173256 8965378323 9322849548 9780412716 9840785634 10128527904 10226726928 10625633568 10794878424 11324688408 11394593892 11776231008 11953837764 12027626886 12144238227 12354205536 12430466064 13040550288 13121047512 13248259884 13984274322 14393171232 14670619074 14761178451 15099584544 15192791856 15340090392 15840668448 15938450352 16036835848 16192317636 16987032612 17091890838 17494730016 17664346512 17930756646 18041440329 18645699096 19560825432 19681571268 20453453856 20976411483 21589756848 22649376816 22789187784 23907675528 24055253772 24288476454 24860932128 25637836257 26081100576 26242095024 26496519768 26896134969 27968548644 29341238148 29522356902 30385583712 30680180784 31876900704 32073671696 32384635272 33974065224 34183781676 35328693024 35861513292 36082880658 36432714681 37291398192 39121650864 39363142536 41952822966 43179513696 44283535353 45298753632 45578375568 47815351056 48110507544 48576952908 51275672514 52484190048 52993039536 53792269938 54124320987 55937097288 58682476296 59044713804 61360361568 62929234449 64147343392 64769270544 67948130448 68367563352 71723026584 72165761316 72865429362 74582796384 76913508771 78243301728 78726285072 80688404907 83905645932 88567070706 91156751136 95630702112 96221015088 97153905816 102551345028 105986079072 107584539876 108248641974 111874194576 117364952592 118089427608 125858468898 129538541088 132850606059 135896260896 136735126704 143446053168 144331522632 145730858724 153827017542 157452570144 161376809814 162372962961 167811291864 177134141412 192442030176 194307811632 205102690056 215169079752 216497283948 223748389152 230740526313 234729905184 236178855216 251716937796 265701212118 273470253408 286892106336 288663045264 291461717448 307654035084 322753619628 324745925922 335622583728 354268282824 388615623264 398551818177 410205380112 430338159504 432994567896 461481052626 472357710432 487118888883 503433875592 531402424236 577326090528 582923434896 615308070168 645507239256 649491851844 671245167456 692221578939 708536565648 797103636354 820410760224 860676319008 865989135792 922962105252 974237777766 1006867751184 1062804848472 1165846869792 1195655454531 1230616140336 1291014478512 1298983703688 1384443157878 1417073131296 1461356666649 1594207272708 1731978271584 1845924210504 1948475555532 2013735502368 2125609696944 2391310909062 2461232280672 2582028957024 2597967407376 2768886315756 2922713333298 3188414545416 3691848421008 3896951111064 4251219393888 4384069999947 4782621818124 5195934814752 5537772631512 5845426666596 6376829090832 7383696842016 7793902222128 8768139999894 9565243636248 11075545263024 11690853333192 12753658181664 13152209999841 15587804444256 17536279999788 19130487272496 22151090526048 23381706666384 26304419999682 35072559999576 38260974544992 46763413332768 52608839999364 70145119999152 105217679998728 140290239998304 210435359997456 420870719994912
• Sum of all divisors σ(n): 1439949601228320
• Sum of proper divisors (its aliquot sum) s(n): 1019078881233408
• 420870719994912 is an abundant number, because the sum of its proper divisors (1019078881233408) is greater than itself. Its abundance is 598208161238496

Bases of 420870719994912

• Binary: 1011111101100011110011001110000101111110000100000₂
• Hexadecimal: 0x17EC799C2FC20
• Base-36: 456PC84I00

Squares and roots of 420870719994912

• 420870719994912 squared (420870719994912²) is 177132162949035619553305887744
• 420870719994912 cubed (420870719994912³) is 74549740954616696061961234122769235323158528
• The square root of 420870719994912 is 20515133.9258341669
• The cube root of 420870719994912 is 74940.4398244701

Scales and comparisons

• 420,870,719,994,912 seconds is equal to 13,382,387 years, 2 weeks, 6 days, 19 hours, 55 minutes, 12 seconds.
• To count from 1 to 420,870,719,994,912 would take you about thirty-three million, four hundred fifty-five thousand, nine hundred sixty-seven 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 420870719994912 cubic inches would be around 6245 feet tall.

Recreational maths with 420870719994912

• 420870719994912 backwards is 219499917078024
• 420870719994912 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 420870719994912's digits is 72
• More coming soon!