189346820488928000

Names of 189346820488928000

• Cardinal: 189346820488928000 can be written as One hundred eighty-nine quadrillion, three hundred forty-six trillion, eight hundred twenty billion, four hundred eighty-eight million, nine hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.89346820488928 × 10¹⁷

Factors of 189346820488928000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 18665893511

Divisors of 189346820488928000

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 317 320 400 500 634 640 800 1000 1268 1280 1585 1600 2000 2536 3170 3200 4000 5072 6340 6400 7925 8000 10144 12680 15850 16000 20288 25360 31700 32000 39625 40576 50720 63400 79250 81152 101440 126800 158500 202880 253600 317000 405760 507200 634000 1014400 1268000 2028800 2536000 5072000 10144000 18665893187 37331786374 74663572748 93329465935 149327145496 186658931870 298654290992 373317863740 466647329675 597308581984 746635727480 933294659350 1194617163968 1493271454960 1866589318700 2333236648375 2389234327936 2986542909920 3733178637400 4666473296750 4778468655872 5917088140279 5973085819840 7466357274800 9332946593500 11834176280558 11946171639680 14932714549600 18665893187000 23668352561116 23892343279360 29585440701395 29865429099200 37331786374000 47336705122232 59170881402790 59730858198400 74663572748000 94673410244464 118341762805580 119461716396800 147927203506975 149327145496000 189346820488928 236683525611160 295854407013950 298654290992000 378693640977856 473367051222320 591708814027900 597308581984000 739636017534875 757387281955712 946734102444640 1183417628055800 1479272035069750 1514774563911424 1893468204889280 2366835256111600 2958544070139500 3786936409778560 4733670512223200 5917088140279000 7573872819557120 9467341024446400 11834176280558000 18934682048892800 23668352561116000 37869364097785600 47336705122232000 94673410244464000 189346820488928000
• Sum of all divisors σ(n): 473174568557125344
• Sum of proper divisors (its aliquot sum) s(n): 283827748068197344
• 189346820488928000 is an abundant number, because the sum of its proper divisors (283827748068197344) is greater than itself. Its abundance is 94480927579269344

Bases of 189346820488928000

• Binary: 1010100000101100011110111000010110100101111001101100000000₂
• Hexadecimal: 0x2A0B1EE16979B00
• Base-36: 1FSDUGHT2RY8

Squares and roots of 189346820488928000

• 189346820488928000 squared (189346820488928000²) is 35852218429266324256970589184000000
• 189346820488928000 cubed (189346820488928000³) is 6788503567056126883330569281828911108554752000000000
• The square root of 189346820488928000 is 435140001.0214275853
• The cube root of 189346820488928000 is 574230.1687621205

Scales and comparisons

• 189,346,820,488,928,000 seconds is equal to 6,020,643,203 years, 19 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 189,346,820,488,928,000 would take you about eighteen billion, sixty-one million, nine hundred twenty-nine thousand, six hundred ten 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 189346820488928000 cubic inches would be around 47852.5 feet tall.

Recreational maths with 189346820488928000

• 189346820488928000 backwards is 000829884028643981
• 189346820488928000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 189346820488928000's digits is 80
• More coming soon!