48131131408166800

Names of 48131131408166800

• Cardinal: 48131131408166800 can be written as Forty-eight quadrillion, one hundred thirty-one trillion, one hundred thirty-one billion, four hundred eight million, one hundred sixty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 4.81311314081668 × 10¹⁶

Factors of 48131131408166800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 747377816934

Divisors of 48131131408166800

• Number of divisors d(n): 120
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 64400 747377816897 1494755633794 2989511267588 3736889084485 5231644718279 5979022535176 7473778168970 10463289436558 11958045070352 14947556337940 17189689788631 18684445422425 20926578873116 26158223591395 29895112675880 34379379577262 37368890844850 41853157746232 52316447182790 59790225351760 68758759154524 74737781689700 83706315492464 85948448943155 104632894365580 120327828520417 130791117956975 137517518309048 149475563379400 171896897886310 209265788731160 240655657040834 261582235913950 275035036618096 298951126758800 343793795772620 418531577462320 429742244715775 481311314081668 523164471827900 601639142602085 687587591545240 859484489431550 962622628163336 1046328943655800 1203278285204170 1375175183090480 1718968978863100 1925245256326672 2092657887311600 2406556570408340 3008195713010425 3437937957726200 4813113140816680 6016391426020850 6875875915452400 9626226281633360 12032782852041700 24065565704083400 48131131408166800
• Sum of all divisors σ(n): 137900175751483776
• Sum of proper divisors (its aliquot sum) s(n): 89769044343316976
• 48131131408166800 is an abundant number, because the sum of its proper divisors (89769044343316976) is greater than itself. Its abundance is 41637912935150176

Bases of 48131131408166800

• Binary: 10101010111111110000001001001110001110001010111110010000₂
• Hexadecimal: 0xAAFF024E38AF90
• Base-36: D5X28IRFP1S

Squares and roots of 48131131408166800

• 48131131408166800 squared (48131131408166800²) is 2316605810630220607901736622240000
• 48131131408166800 cubed (48131131408166800³) is 111500858692365921224161249313837504982509632000000
• The square root of 48131131408166800 is 219388084.0158981835
• The cube root of 48131131408166800 is 363754.7642933443

Scales and comparisons

• 48,131,131,408,166,800 seconds is equal to 1,530,421,099 years, 21 weeks, 4 days, 2 hours, 46 minutes, 40 seconds.
• To count from 1 to 48,131,131,408,166,800 would take you about four billion, five hundred ninety-one million, two hundred sixty-three thousand, two hundred ninety-eight 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 48131131408166800 cubic inches would be around 30312.9 feet tall.

Recreational maths with 48131131408166800

• 48131131408166800 backwards is 00866180413113184
• The number of decimal digits it has is: 17
• The sum of 48131131408166800's digits is 55
• More coming soon!