468661688320

Names of 468661688320

• Cardinal: 468661688320 can be written as Four hundred sixty-eight billion, six hundred sixty-one million, six hundred eighty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 4.6866168832 × 10¹¹

Factors of 468661688320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2571

Divisors of 468661688320

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2557 2560 3584 4480 5114 5120 7168 8960 10228 10240 12785 14336 17899 17920 20456 25570 35798 35840 40912 51140 71596 71680 81824 89495 102280 143192 163648 178990 204560 286384 327296 357980 409120 572768 654592 715960 818240 1145536 1309184 1431920 1636480 2291072 2618368 2863840 3272960 4582144 5236736 5727680 6538249 6545920 9164288 11455360 13076498 13091840 18328576 22910720 26152996 26183680 32691245 36657152 45767743 45821440 52305992 65382490 91535486 91642880 104611984 130764980 183070972 183285760 209223968 228838715 261529960 366141944 418447936 457677430 523059920 732283888 836895872 915354860 1046119840 1464567776 1673791744 1830709720 2092239680 2929135552 3347583488 3661419440 4184479360 5858271104 6695166976 7322838880 8368958720 11716542208 13390333952 14645677760 16737917440 23433084416 29291355520 33475834880 46866168832 58582711040 66951669760 93732337664 117165422080 234330844160 468661688320
• Sum of all divisors σ(n): 1285661023920
• Sum of proper divisors (its aliquot sum) s(n): 816999335600
• 468661688320 is an abundant number, because the sum of its proper divisors (816999335600) is greater than itself. Its abundance is 348337647280

Bases of 468661688320

• Binary: 110110100011110011010011101100000000000₂
• Hexadecimal: 0x6D1E69D800
• Base-36: 5ZAT2H34

Squares and roots of 468661688320

• 468661688320 squared (468661688320²) is 219643778098952824422400
• 468661688320 cubed (468661688320³) is 102938623872838670717834512826368000
• The square root of 468661688320 is 684588.7001112419
• The cube root of 468661688320 is 7767.5934032721

Scales and comparisons

• 468,661,688,320 seconds is equal to 14,901 years, 51 weeks, 4 days, 2 hours, 18 minutes, 40 seconds.
• To count from 1 to 468,661,688,320 would take you about twenty-nine thousand, eight hundred three 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 468661688320 cubic inches would be around 647.3 feet tall.

Recreational maths with 468661688320

• 468661688320 backwards is 023886166864
• The number of decimal digits it has is: 12
• The sum of 468661688320's digits is 58
• More coming soon!