506106013421789312

Names of 506106013421789312

• Cardinal: 506106013421789312 can be written as Five hundred six quadrillion, one hundred six trillion, thirteen billion, four hundred twenty-one million, seven hundred eighty-nine thousand, three hundred twelve.

Scientific notation

• Scientific notation: 5.06106013421789312 × 10¹⁷

Factors of 506106013421789312

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 250

Divisors of 506106013421789312

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 241 343 392 448 482 686 784 896 964 1372 1568 1687 1928 2401 2744 3136 3374 3856 4802 5488 6272 6748 7712 9604 10976 11809 13496 15424 16807 19208 21952 23618 26992 30848 33614 38416 43904 47236 53984 58081 67228 76832 82663 94472 107968 116162 117649 134456 153664 165326 188944 215936 232324 235298 268912 307328 330652 377888 406567 464648 470596 537824 578641 661304 755776 813134 823543 929296 941192 1075648 1157282 1322608 1511552 1626268 1647086 1858592 1882384 2151296 2314564 2645216 2845969 3252536 3294172 3717184 3764768 4050487 4629128 5290432 5691938 5764801 6505072 6588344 7434368 7529536 8100974 9258256 10580864 11383876 11529602 13010144 13176688 13997521 15059072 16201948 18516512 19921783 22767752 23059204 26020288 26353376 27995042 28353409 32403896 37033024 39843566 40353607 45535504 46118408 52040576 52706752 55990084 56706818 64807792 74066048 79687132 80707214 91071008 92236816 97982647 105413504 111980168 113413636 129615584 139452481 159374264 161414428 182142016 184473632 195965294 198473863 223960336 226827272 259231168 278904962 282475249 318748528 322828856 364284032 368947264 391930588 396947726 447920672 453654544 518462336 557809924 564950498 637497056 645657712 685878529 737894528 783861176 793895452 895841344 907309088 976167367 1115619848 1129900996 1274994112 1291315424 1371757058 1389317041 1567722352 1587790904 1791682688 1814618176 1952334734 2231239696 2259801992 2549988224 2582630848 2743514116 2778634082 3135444704 3175581808 3629236352 3904669468 4462479392 4519603984 4801149703 5165261696 5487028232 5557268164 6270889408 6351163616 6833171569 7809338936 8924958784 9039207968 9602299406 9725219287 10974056464 11114536328 12541778816 12702327232 13666343138 15618677872 17849917568 18078415936 19204598812 19450438574 21948112928 22229072656 25404654464 27332686276 31237355744 33608047921 36156831872 38409197624 38900877148 43896225856 44458145312 47832200983 54665372552 62474711488 67216095842 68076535009 76818395248 77801754296 87792451712 88916290624 95664401966 109330745104 124949422976 134432191684 136153070018 153636790496 155603508592 177832581248 191328803932 218661490208 235256335447 268864383368 272306140036 307273580992 311207017184 334825406881 382657607864 437322980416 470512670894 537728766736 544612280072 614547161984 622414034368 669650813762 765315215728 874645960832 941025341788 1075457533472 1089224560144 1244828068736 1339301627524 1530630431456 1646794348129 1882050683576 2150915066944 2178449120288 2343777848167 2678603255048 3061260862912 3293588696258 3764101367152 4301830133888 4356898240576 4687555696334 5357206510096 6122521725824 6587177392516 7528202734304 8713796481152 9375111392668 10714413020192 11527560436903 13174354785032 15056405468608 16406444937169 18750222785336 21428826040384 23055120873806 26348709570064 30112810937216 32812889874338 37500445570672 42857652080768 46110241747612 52697419140128 65625779748676 75000891141344 80692923058321 92220483495224 105394838280256 131251559497352 150001782282688 161385846116642 184440966990448 210789676560512 262503118994704 300003564565376 322771692233284 368881933980896 525006237989408 564850461408247 645543384466568 737763867961792 1050012475978816 1129700922816494 1291086768933136 1475527735923584 2100024951957632 2259401845632988 2582173537866272 3953953229857729 4518803691265976 5164347075732544 7907906459715458 9037607382531952 10328694151465088 15815812919430916 18075214765063904 31631625838861832 36150429530127808 63263251677723664 72300859060255616 126526503355447328 253053006710894656 506106013421789312
• Sum of all divisors σ(n): 1181202339459660540
• Sum of proper divisors (its aliquot sum) s(n): 675096326037871228
• 506106013421789312 is an abundant number, because the sum of its proper divisors (675096326037871228) is greater than itself. Its abundance is 168990312616081916

Bases of 506106013421789312

• Binary: 11100000110000011001011110011011100101100011110000010000000₂
• Hexadecimal: 0x7060CBCDCB1E080
• Base-36: 3UFBLWU9AVSW

Squares and roots of 506106013421789312

• 506106013421789312 squared (506106013421789312²) is 256143296821696383222572335717433344
• 506106013421789312 cubed (506106013421789312³) is 129635662819142833349131280586384812677586708571619328
• The square root of 506106013421789312 is 711411282.8890116163
• The cube root of 506106013421789312 is 796918.3599340681

Scales and comparisons

• 506,106,013,421,789,312 seconds is equal to 16,092,605,738 years, 6 weeks, 4 days, 2 hours, 48 minutes, 32 seconds.
• To count from 1 to 506,106,013,421,789,312 would take you about forty-eight billion, two hundred seventy-seven million, eight hundred seventeen thousand, two hundred fourteen 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 506106013421789312 cubic inches would be around 66409.9 feet tall.

Recreational maths with 506106013421789312

• 506106013421789312 backwards is 213987124310601605
• The number of decimal digits it has is: 18
• The sum of 506106013421789312's digits is 59
• More coming soon!