40221954261980800

Names of 40221954261980800

• Cardinal: 40221954261980800 can be written as Forty quadrillion, two hundred twenty-one trillion, nine hundred fifty-four billion, two hundred sixty-one million, nine hundred eighty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.02219542619808 × 10¹⁶

Factors of 40221954261980800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 339712451581

Divisors of 40221954261980800

• Number of divisors d(n): 96
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 296 320 370 400 592 640 740 800 925 1184 1480 1600 1850 2368 2960 3200 3700 4736 5920 7400 11840 14800 23680 29600 59200 118400 339712451537 679424903074 1358849806148 1698562257685 2717699612296 3397124515370 5435399224592 6794249030740 8492811288425 10870798449184 12569360706869 13588498061480 16985622576850 21741596898368 25138721413738 27176996122960 33971245153700 43483193796736 50277442827476 54353992245920 62846803534345 67942490307400 100554885654952 108707984491840 125693607068690 135884980614800 201109771309904 217415968983680 251387214137380 271769961229600 314234017671725 402219542619808 502774428274760 543539922459200 628468035343450 804439085239616 1005548856549520 1087079844918400 1256936070686900 1608878170479232 2011097713099040 2513872141373800 4022195426198080 5027744282747600 8044390852396160 10055488565495200 20110977130990400 40221954261980800
• Sum of all divisors σ(n): 102046223317499820
• Sum of proper divisors (its aliquot sum) s(n): 61824269055519020
• 40221954261980800 is an abundant number, because the sum of its proper divisors (61824269055519020) is greater than itself. Its abundance is 21602314793538220

Bases of 40221954261980800

• Binary: 10001110111001011010011101111111111101010001011010000000₂
• Hexadecimal: 0x8EE5A77FF51680
• Base-36: B01HQP7HZ0G

Squares and roots of 40221954261980800

• 40221954261980800 squared (40221954261980800²) is 1617805604652875441600339568640000
• 40221954261980800 cubed (40221954261980800³) is 65071303035124148531222575005028163023962112000000
• The square root of 40221954261980800 is 200554118.0379520405
• The cube root of 40221954261980800 is 342626.5836812611

Scales and comparisons

• 40,221,954,261,980,800 seconds is equal to 1,278,933,730 years, 44 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 40,221,954,261,980,800 would take you about three billion, eight hundred thirty-six million, eight hundred one thousand, one 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 40221954261980800 cubic inches would be around 28552.2 feet tall.

Recreational maths with 40221954261980800

• 40221954261980800 backwards is 00808916245912204
• The number of decimal digits it has is: 17
• The sum of 40221954261980800's digits is 61
• More coming soon!