802228631321002338

Names of 802228631321002338

• Cardinal: 802228631321002338 can be written as Eight hundred two quadrillion, two hundred twenty-eight trillion, six hundred thirty-one billion, three hundred twenty-one million, two thousand, three hundred thirty-eight.

Scientific notation

• Scientific notation: 8.02228631321002338 × 10¹⁷

Factors of 802228631321002338

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 205117

Divisors of 802228631321002338

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 15307 17207 17658 30614 34414 45921 51621 91842 103242 137763 154863 172489 275526 309726 344978 413289 464589 517467 826578 929178 1034934 1239867 1393767 1552401 1668463 1875563 2479734 2787534 3104802 3336926 3751126 4657203 5005389 5626689 9314406 10010778 11253378 13971609 15016167 16880067 18801301 27943218 30032334 33760134 37602602 45048501 50640201 56403903 90097002 101280402 112807806 135145503 151920603 169211709 263387549 270291006 303841206 338423418 507635127 526775098 790162647 1015270254 1522905381 1580325294 2370487941 2640289123 2968018223 3045810762 4740975882 5280578246 5936036446 7111463823 7920867369 8904054669 14222927646 15841734738 17808109338 21334391469 23762602107 26712164007 28709242841 42668782938 47525204214 53424328014 57418485682 71287806321 80136492021 86127728523 142575612642 160272984042 172255457046 213863418963 240409476063 258383185569 287791514407 323513986307 427726837926 480818952126 516766371138 575583028814 647027972614 775149556707 863374543221 970541958921 1550299113414 1726749086442 1941083917842 2325448670121 2590123629663 2911625876763 4650897340242 5180247259326 5823251753526 7770370888989 8734877630289 15540741777978 17469755260578 23311112666967 26204632890867 45431454939461 46622225333934 52409265781734 90862909878922 136294364818383 272588729636766 408883094455149 817766188910298 1226649283365447 2453298566730894 3679947850096341 4952028588401249 7359895700192682 9904057176802498 14856085765203747 29712171530407494 44568257295611241 89136514591222482 133704771886833723 267409543773667446 401114315660501169 802228631321002338
• Sum of all divisors σ(n): 1814312460695644800
• Sum of proper divisors (its aliquot sum) s(n): 1012083829374642462
• 802228631321002338 is an abundant number, because the sum of its proper divisors (1012083829374642462) is greater than itself. Its abundance is 209855198053640124

Bases of 802228631321002338

• Binary: 101100100010000101101011000010010110100010010100000101100010₂
• Hexadecimal: 0xB2216B096894162
• Base-36: 63F2BDHR2K4I

Squares and roots of 802228631321002338

• 802228631321002338 squared (802228631321002338²) is 643570776911168693426121057001466244
• 802228631321002338 cubed (802228631321002338³) is 516290903519640993594257364100749319485333897752078472
• The square root of 802228631321002338 is 895672167.3251895449
• The cube root of 802228631321002338 is 929178.9999999989

Scales and comparisons

• 802,228,631,321,002,338 seconds is equal to 25,508,389,019 years, 48 weeks, 8 hours, 12 minutes, 18 seconds.
• To count from 1 to 802,228,631,321,002,338 would take you about seventy-six billion, five hundred twenty-five million, one hundred sixty-seven thousand and fifty-nine 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 802228631321002338 cubic inches would be around 77431.6 feet tall.

Recreational maths with 802228631321002338

• 802228631321002338 backwards is 833200123136822208
• 802228631321002338 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 802228631321002338's digits is 54
• More coming soon!