41181163920048000

Names of 41181163920048000

• Cardinal: 41181163920048000 can be written as Forty-one quadrillion, one hundred eighty-one trillion, one hundred sixty-three billion, nine hundred twenty million, forty-eight thousand.

Scientific notation

• Scientific notation: 4.1181163920048 × 10¹⁶

Factors of 41181163920048000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 926261

Divisors of 41181163920048000

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 926251 1852502 2778753 3705004 4631255 5557506 7410008 9262510 11115012 13893765 14820016 18525020 22230024 23156275 27787530 29640032 37050040 44460048 46312550 55575060 59280064 69468825 74100080 88920096 92625100 111150120 115781375 118560128 138937650 148200160 177840192 185250200 222300240 231562750 277875300 296400320 347344125 355680384 370500400 444600480 463125500 555750600 592800640 694688250 741000800 889200960 926251000 1111501200 1389376500 1482001600 1778401920 1852502000 2223002400 2778753000 2964003200 3705004000 4446004800 5557506000 7410008000 8892009600 11115012000 14820016000 22230024000 44460048000 857940915001 1715881830002 2573822745003 3431763660004 4289704575005 5147645490006 6863527320008 8579409150010 10295290980012 12869113725015 13727054640016 17158818300020 20590581960024 21448522875025 25738227450030 27454109280032 34317636600040 41181163920048 42897045750050 51476454900060 54908218560064 64345568625075 68635273200080 82362327840096 85794091500100 102952909800120 107242614375125 109816437120128 128691137250150 137270546400160 164724655680192 171588183000200 205905819600240 214485228750250 257382274500300 274541092800320 321727843125375 329449311360384 343176366000400 411811639200480 428970457500500 514764549000600 549082185600640 643455686250750 686352732000800 823623278400960 857940915001000 1029529098001200 1286911372501500 1372705464001600 1647246556801920 1715881830002000 2059058196002400 2573822745003000 2745410928003200 3431763660004000 4118116392004800 5147645490006000 6863527320008000 8236232784009600 10295290980012000 13727054640016000 20590581960024000 41181163920048000
• Sum of all divisors σ(n): 136515705780177360
• Sum of proper divisors (its aliquot sum) s(n): 95334541860129360
• 41181163920048000 is an abundant number, because the sum of its proper divisors (95334541860129360) is greater than itself. Its abundance is 54153377940081360

Bases of 41181163920048000

• Binary: 10010010010011100000110011100110111001000011111110000000₂
• Hexadecimal: 0x924E0CE6E43F80
• Base-36: B9HI5J7UPHC

Squares and roots of 41181163920048000

• 41181163920048000 squared (41181163920048000²) is 1695888261809863158136322304000000
• 41181163920048000 cubed (41181163920048000³) is 69838652499677253224547643938566615150592000000000
• The square root of 41181163920048000 is 202931426.6446870471
• The cube root of 41181163920048000 is 345328.8579479623

Scales and comparisons

• 41,181,163,920,048,000 seconds is equal to 1,309,433,630 years, 49 weeks, 4 days, 5 hours, 20 minutes.
• To count from 1 to 41,181,163,920,048,000 would take you about three billion, nine hundred twenty-eight million, three hundred thousand, eight hundred ninety-two 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 41181163920048000 cubic inches would be around 28777.4 feet tall.

Recreational maths with 41181163920048000

• 41181163920048000 backwards is 00084002936118114
• 41181163920048000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 41181163920048000's digits is 48
• More coming soon!