48138440956492800

Names of 48138440956492800

• Cardinal: 48138440956492800 can be written as Forty-eight quadrillion, one hundred thirty-eight trillion, four hundred forty billion, nine hundred fifty-six million, four hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.81384409564928 × 10¹⁶

Factors of 48138440956492800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 626802616631

Divisors of 48138440956492800

• Number of divisors d(n): 132
• 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 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 38400 76800 626802616621 1253605233242 1880407849863 2507210466484 3134013083105 3760815699726 5014420932968 6268026166210 7521631399452 9402039249315 10028841865936 12536052332420 15043262798904 15670065415525 18804078498630 20057683731872 25072104664840 30086525597808 31340130831050 37608156997260 40115367463744 47010196246575 50144209329680 60173051195616 62680261662100 75216313994520 80230734927488 94020392493150 100288418659360 120346102391232 125360523324200 150432627989040 160461469854976 188040784986300 200576837318720 240692204782464 250721046648400 300865255978080 320922939709952 376081569972600 401153674637440 481384409564928 501442093296800 601730511956160 641845879419904 752163139945200 802307349274880 962768819129856 1002884186593600 1203461023912320 1504326279890400 1604614698549760 1925537638259712 2005768373187200 2406922047824640 3008652559780800 3209229397099520 4011536746374400 4813844095649280 6017305119561600 8023073492748800 9627688191298560 12034610239123200 16046146985497600 24069220478246400 48138440956492800
• Sum of all divisors σ(n): 159100054571929016
• Sum of proper divisors (its aliquot sum) s(n): 110961613615436216
• 48138440956492800 is an abundant number, because the sum of its proper divisors (110961613615436216) is greater than itself. Its abundance is 62823172658943416

Bases of 48138440956492800

• Binary: 10101011000001011010100000110001010000001011110000000000₂
• Hexadecimal: 0xAB05A83140BC00
• Base-36: D5ZNIHBS5XC

Squares and roots of 48138440956492800

• 48138440956492800 squared (48138440956492800²) is 2317309497721743441342476451840000
• 48138440956492800 cubed (48138440956492800³) is 111551666433998133288922327219613789954506752000000
• The square root of 48138440956492800 is 219404742.3290864057
• The cube root of 48138440956492800 is 363773.1775210051

Scales and comparisons

• 48,138,440,956,492,800 seconds is equal to 1,530,653,520 years, 22 weeks, 6 days, 21 hours, 20 minutes.
• To count from 1 to 48,138,440,956,492,800 would take you about four billion, five hundred ninety-one million, nine hundred sixty thousand, five hundred sixty-one 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 48138440956492800 cubic inches would be around 30314.4 feet tall.

Recreational maths with 48138440956492800

• 48138440956492800 backwards is 00829465904483184
• 48138440956492800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48138440956492800's digits is 75
• More coming soon!