442627017887317131

Names of 442627017887317131

• Cardinal: 442627017887317131 can be written as Four hundred forty-two quadrillion, six hundred twenty-seven trillion, seventeen billion, eight hundred eighty-seven million, three hundred seventeen thousand, one hundred thirty-one.

Scientific notation

• Scientific notation: 4.42627017887317131 × 10¹⁷

Factors of 442627017887317131

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 86

Divisors of 442627017887317131

• Number of divisors d(n): 210
• Complete list of divisors:
  1 3 9 11 29 33 43 87 99 129 261 319 387 473 841 957 1247 1419 1849 2523 2871 3741 4257 5547 7569 9251 11223 13717 16641 20339 24389 27753 36163 41151 53621 61017 73167 79507 83259 108489 123453 160863 183051 219501 238521 268279 325467 397793 482589 589831 707281 715563 804837 874577 1048727 1193379 1555009 1769493 2121843 2305703 2414511 2623731 3146181 3418801 3580137 4665027 5308479 6365529 6917109 7780091 7871193 9438543 10256403 11535997 13995081 17105099 20751327 23340273 25362733 30413083 30769209 34607991 37606811 45095261 51315297 66865387 70020819 76088199 91239249 99145229 103823973 112820433 135285783 147008443 153945891 200596161 228264597 273717747 297435687 334543913 338461299 405857349 441025329 496047871 601788483 735519257 892307061 1003631739 1090597519 1307762569 1323075987 1488143613 1617092873 1939096223 2206557771 2875211641 3010895217 3271792557 3923287707 4263244847 4464430839 4851278619 5817288669 6321363049 6619673313 8625634923 9815377671 11769863121 12789734541 14385388259 14553835857 17451866007 18964089147 21330058453 25876904769 31627328051 38369203623 43156164777 46895693317 56233790467 56892267441 63990175359 69534993539 83381137589 94881984153 123634100563 129468494331 140687079951 168701371401 183319528421 191970526077 208604980617 250143412767 284645952459 370902301689 422061239853 506104114203 549958585263 618571695137 625814941851 750430238301 917192513479 1112706905067 1359975106193 1649875755789 1855715085411 2016514812631 2418052990081 2751577540437 3585388916327 4079925318579 5316266324209 5567145256233 6049544437893 7254158970243 8254732621311 10756166748981 12239775955737 15948798972627 18148633313679 21762476910729 26598582890891 32268500246943 39439278079597 47846396917881 58478929566299 79795748672673 103976278573483 118317834238791 154171723402061 175436788698897 239387246018019 311928835720449 354953502716373 462515170206183 526310366096691 935786507161347 1143739064308313 1387545510618549 1695888957422671 3431217192924939 4470979978659769 5087666872268013 10293651578774817 13412939935979307 15263000616804039 40238819807937921 49180779765257459 147542339295772377 442627017887317131
• Sum of all divisors σ(n): 739582172450458428
• Sum of proper divisors (its aliquot sum) s(n): 296955154563141297
• 442627017887317131 is a deficient number, because the sum of its proper divisors (296955154563141297) is less than itself. Its deficiency is 145671863324175834

Bases of 442627017887317131

• Binary: 11000100100100001101110110101111001001010011111110010001011₂
• Hexadecimal: 0x62486ED7929FC8B
• Base-36: 3D2A6KVJ67WR

Squares and roots of 442627017887317131

• 442627017887317131 squared (442627017887317131²) is 195918676963819359442388144966071161
• 442627017887317131 cubed (442627017887317131³) is 86718899732923978349687032785173252782863091920359091
• The square root of 442627017887317131 is 665302200.4227230353
• The cube root of 442627017887317131 is 762101.1902180309
• Being both a perfect square and a perfect cube, 442627017887317131 is also a perfect sixth number.

Scales and comparisons

• 442,627,017,887,317,131 seconds is equal to 14,074,170,033 years, 28 weeks, 6 days, 7 hours, 38 minutes, 51 seconds.
• To count from 1 to 442,627,017,887,317,131 would take you about forty-two billion, two hundred twenty-two million, five hundred ten thousand, one hundred 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 442627017887317131 cubic inches would be around 63508.4 feet tall.

Recreational maths with 442627017887317131

• 442627017887317131 backwards is 131713788710726244
• The number of decimal digits it has is: 18
• The sum of 442627017887317131's digits is 72
• More coming soon!