48142365716480000

Names of 48142365716480000

• Cardinal: 48142365716480000 can be written as Forty-eight quadrillion, one hundred forty-two trillion, three hundred sixty-five billion, seven hundred sixteen million, four hundred eighty thousand.

Scientific notation

• Scientific notation: 4.814236571648 × 10¹⁶

Factors of 48142365716480000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 260

Divisors of 48142365716480000

• Number of divisors d(n): 2400
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 125 128 133 140 152 160 175 190 196 200 224 227 245 250 256 266 280 304 320 343 350 380 392 400 448 454 475 490 500 512 532 560 608 625 640 665 686 700 760 784 800 875 896 908 931 950 980 1000 1024 1064 1120 1135 1216 1225 1250 1280 1330 1372 1400 1520 1568 1589 1600 1715 1750 1792 1816 1862 1900 1960 2000 2048 2128 2240 2270 2375 2401 2432 2450 2500 2560 2660 2744 2800 3040 3136 3178 3200 3325 3430 3500 3584 3632 3724 3800 3920 4000 4096 4256 4313 4375 4480 4540 4655 4750 4802 4864 4900 5000 5120 5320 5488 5600 5675 6080 6125 6272 6356 6400 6517 6650 6860 7000 7168 7264 7448 7600 7840 7945 8000 8192 8512 8575 8626 8750 8960 9080 9310 9500 9604 9728 9800 10000 10240 10640 10976 11123 11200 11350 11875 12005 12160 12250 12544 12712 12800 13034 13300 13720 14000 14336 14528 14896 15200 15680 15890 16000 16384 16625 17024 17150 17252 17500 17920 18160 18620 19000 19208 19456 19600 20000 20480 21280 21565 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196499451904000 212080906240000 214921275520000 240711828582400 245624314880000 253380872192000 275099232665600 300889785728000 316726090240000 343874040832000 361972674560000 376112232160000 385138925731840 429842551040000 481423657164800 491248629760000 506761744384000 601779571456000 633452180480000 687748081664000 752224464320000 859685102080000 962847314329600 982497259520000 1203559142912000 1266904360960000 1375496163328000 1504448928640000 1719370204160000 1925694628659200 2407118285824000 2533808721920000 3008897857280000 3438740408320000 4814236571648000 6017795714560000 6877480816640000 9628473143296000 12035591429120000 24071182858240000 48142365716480000
• Sum of all divisors σ(n): 148400900901141900
• Sum of proper divisors (its aliquot sum) s(n): 100258535184661900
• 48142365716480000 is an abundant number, because the sum of its proper divisors (100258535184661900) is greater than itself. Its abundance is 52116169468181900

Bases of 48142365716480000

• Binary: 10101011000010010011100111111111001011011000000000000000₂
• Hexadecimal: 0xAB0939FF2D8000
• Base-36: D611LHOJLKW

Squares and roots of 48142365716480000

• 48142365716480000 squared (48142365716480000²) is 2317687376779308863743590400000000
• 48142365716480000 cubed (48142365716480000³) is 111578953309378663480918410142303649792000000000000
• The square root of 48142365716480000 is 219413686.2560765601
• The cube root of 48142365716480000 is 363783.0634775909

Scales and comparisons

• 48,142,365,716,480,000 seconds is equal to 1,530,778,315 years, 34 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 48,142,365,716,480,000 would take you about four billion, five hundred ninety-two million, three hundred thirty-four thousand, nine hundred forty-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 48142365716480000 cubic inches would be around 30315.3 feet tall.

Recreational maths with 48142365716480000

• 48142365716480000 backwards is 00008461756324184
• The number of decimal digits it has is: 17
• The sum of 48142365716480000's digits is 59
• More coming soon!