40957485296948800

Names of 40957485296948800

• Cardinal: 40957485296948800 can be written as Forty quadrillion, nine hundred fifty-seven trillion, four hundred eighty-five billion, two hundred ninety-six million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 4.09574852969488 × 10¹⁶

Factors of 40957485296948800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 122288970

Divisors of 40957485296948800

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 353 400 593 706 800 1186 1412 1600 1765 2372 2824 2965 3530 4744 5648 5930 7060 8825 9488 11296 11860 14120 14825 17650 18976 22592 23720 28240 29650 35300 37952 47440 56480 59300 70600 94880 112960 118600 141200 189760 209329 237200 282400 418658 474400 564800 837316 948800 1046645 1674632 2093290 3349264 4186580 5233225 6698528 8373160 10466450 13397056 16746320 20932900 33492640 41865800 66985280 83731600 122288017 167463200 244576034 334926400 489152068 611440085 978304136 1222880170 1956608272 2445760340 3057200425 3913216544 4891520680 6114400850 7826433088 9783041360 12228801700 19566082720 24457603400 39132165440 43167670001 48915206800 72516794081 86335340002 97830413600 145033588162 172670680004 195660827200 215838350005 290067176324 345341360008 362583970405 431676700010 580134352648 690682720016 725167940810 863353400020 1079191750025 1160268705296 1381365440032 1450335881620 1726706800040 1812919852025 2158383500050 2320537410592 2762730880064 2900671763240 3453413600080 3625839704050 4316767000100 4641074821184 5801343526480 6906827200160 7251679408100 8633534000200 11602687052960 13813654400320 14503358816200 17267068000400 23205374105920 25598428310593 29006717632400 34534136000800 51196856621186 58013435264800 69068272001600 102393713242372 116026870529600 127992141552965 204787426484744 255984283105930 409574852969488 511968566211860 639960707764825 819149705938976 1023937132423720 1279921415529650 1638299411877952 2047874264847440 2559842831059300 4095748529694880 5119685662118600 8191497059389760 10239371324237200 20478742648474400 40957485296948800
• Sum of all divisors σ(n): 101236944269675016
• Sum of proper divisors (its aliquot sum) s(n): 60279458972726216
• 40957485296948800 is an abundant number, because the sum of its proper divisors (60279458972726216) is greater than itself. Its abundance is 19321973675777416

Bases of 40957485296948800

• Binary: 10010001100000101001110110101010000001001001011001000000₂
• Hexadecimal: 0x91829DAA049640
• Base-36: B7A7SZQVCCG

Squares and roots of 40957485296948800

• 40957485296948800 squared (40957485296948800²) is 1677515601849777131714589821440000
• 40957485296948800 cubed (40957485296948800³) is 68706820598164464076112436422870868368822272000000
• The square root of 40957485296948800 is 202379557.5075427425
• The cube root of 40957485296948800 is 344702.4958811881

Scales and comparisons

• 40,957,485,296,948,800 seconds is equal to 1,302,321,342 years, 32 weeks, 2 days, 16 hours, 26 minutes, 40 seconds.
• To count from 1 to 40,957,485,296,948,800 would take you about three billion, nine hundred six million, nine hundred sixty-four thousand and twenty-seven 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 40957485296948800 cubic inches would be around 28725.2 feet tall.

Recreational maths with 40957485296948800

• 40957485296948800 backwards is 00884969258475904
• The number of decimal digits it has is: 17
• The sum of 40957485296948800's digits is 88
• More coming soon!