968072000
968,072,000 is an even composite number composed of five prime numbers multiplied together.
968072000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 968072000:
26 × 53 × 7 × 59 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 59 × 293)See below for interesting mathematical facts about the number 968072000 from the Numbermatics database.
Names of 968072000
- Cardinal: 968072000 can be written as Nine hundred sixty-eight million, seventy-two thousand.
Scientific notation
- Scientific notation: 9.68072 × 108
Factors of 968072000
Divisors of 968072000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 59 64 70 80 100 112 118 125 140 160 175 200 224 236 250 280 293 295 320 350 400 413 448 472 500 560 586 590 700 800 826 875 944 1000 1120 1172 1180 1400 1465 1475 1600 1652 1750 1888 2000 2051 2065 2240 2344 2360 2800 2930 2950 3304 3500 3776 4000 4102 4130 4688 4720 5600 5860 5900 6608 7000 7325 7375 8000 8204 8260 9376 9440 10255 10325 11200 11720 11800 13216 14000 14650 14750 16408 16520 17287 18752 18880 20510 20650 23440 23600 26432 28000 29300 29500 32816 33040 34574 36625 41020 41300 46880 47200 51275 51625 56000 58600 59000 65632 66080 69148 73250 82040 82600 86435 93760 94400 102550 103250 117200 118000 121009 131264 132160 138296 146500 164080 165200 172870 205100 206500 234400 236000 242018 256375 276592 293000 328160 330400 345740 410200 413000 432175 468800 472000 484036 512750 553184 586000 605045 656320 660800 691480 820400 826000 864350 968072 1025500 1106368 1172000 1210090 1382960 1640800 1652000 1728700 1936144 2051000 2160875 2344000 2420180 2765920 3025225 3281600 3304000 3457400 3872288 4102000 4321750 4840360 5531840 6050450 6914800 7744576 8204000 8643500 9680720 12100900 13829600 15126125 16408000 17287000 19361440 24201800 27659200 30252250 34574000 38722880 48403600 60504500 69148000 96807200 121009000 138296000 193614400 242018000 484036000 968072000
- Sum of all divisors σ(n): 2795869440
- Sum of proper divisors (its aliquot sum) s(n): 1827797440
- 968072000 is an abundant number, because the sum of its proper divisors (1827797440) is greater than itself. Its abundance is 859725440
Bases of 968072000
- Binary: 1110011011001110011011010000002
- Hexadecimal: 0x39B39B40
- Base-36: G0D54W
Squares and roots of 968072000
- 968072000 squared (9680720002) is 937163397184000000
- 968072000 cubed (9680720003) is 907241644238709248000000000
-
The
square root of 968072000 is 31113.8554345167 -
The
cube root of 968072000 is 989.2420140949
Scales and comparisons
How big is 968072000?- 968,072,000 seconds is equal to 30 years, 40 weeks, 4 days, 12 hours, 53 minutes, 20 seconds.
-
To count from 1 to 968,072,000 would take you about forty-six 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 968072000 cubic inches would be around 82.4 feet tall.
Recreational maths with 968072000
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