828137670200352

Names of 828137670200352

• Cardinal: 828137670200352 can be written as Eight hundred twenty-eight trillion, one hundred thirty-seven billion, six hundred seventy million, two hundred thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 8.28137670200352 × 10¹⁴

Factors of 828137670200352

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 341222085

Divisors of 828137670200352

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2809 2862 3816 5088 5618 5724 7632 8427 11236 11448 15264 16854 22472 22896 25281 33708 44944 45792 50562 67416 75843 89888 101124 134832 151686 202248 269664 303372 404496 606744 808992 1213488 2426976 341222027 682444054 1023666081 1364888108 2047332162 2729776216 3070998243 4094664324 5459552432 6141996486 8189328648 9212994729 10919104864 12283992972 16378657296 18084767431 18425989458 24567985944 32757314592 36169534862 36851978916 49135971888 54254302293 72339069724 73703957832 98271943776 108508604586 144678139448 147407915664 162762906879 217017209172 289356278896 294815831328 325525813758 434034418344 488288720637 578712557792 651051627516 868068836688 958492673843 976577441274 1302103255032 1736137673376 1916985347686 1953154882548 2604206510064 2875478021529 3833970695372 3906309765096 5208413020128 5750956043058 7667941390744 7812619530192 8626434064587 11501912086116 15335882781488 15625239060384 17252868129174 23003824172232 25879302193761 30671765562976 34505736258348 46007648344464 51758604387522 69011472516696 92015296688928 103517208775044 138022945033392 207034417550088 276045890066784 414068835100176 828137670200352
• Sum of all divisors σ(n): 2461835038733280
• Sum of proper divisors (its aliquot sum) s(n): 1633697368532928
• 828137670200352 is an abundant number, because the sum of its proper divisors (1633697368532928) is greater than itself. Its abundance is 805559698332576

Bases of 828137670200352

• Binary: 10111100010010111111010011101010000100110000100000₂
• Hexadecimal: 0x2F12FD3A84C20
• Base-36: 85JT6YYFC0

Squares and roots of 828137670200352

• 828137670200352 squared (828137670200352²) is 685812000804866976959820923904
• 828137670200352 cubed (828137670200352³) is 567946752541984468944706492106959905426014208
• The square root of 828137670200352 is 28777381.2255450373
• The cube root of 828137670200352 is 93907.6227752791

Scales and comparisons

• 828,137,670,200,352 seconds is equal to 26,332,216 years, 16 weeks, 2 days, 10 hours, 19 minutes, 12 seconds.
• To count from 1 to 828,137,670,200,352 would take you about sixty-five million, eight hundred thirty thousand, five hundred forty 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 828137670200352 cubic inches would be around 7825.6 feet tall.

Recreational maths with 828137670200352

• 828137670200352 backwards is 253002076731828
• 828137670200352 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 828137670200352's digits is 54
• More coming soon!