968473480
968,473,480 is an even composite number composed of six prime numbers multiplied together.
968473480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 968473480:
23 × 5 × 13 × 31 × 73 × 823
(2 × 2 × 2 × 5 × 13 × 31 × 73 × 823)See below for interesting mathematical facts about the number 968473480 from the Numbermatics database.
Names of 968473480
- Cardinal: 968473480 can be written as Nine hundred sixty-eight million, four hundred seventy-three thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.6847348 × 108
Factors of 968473480
Divisors of 968473480
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 8 10 13 20 26 31 40 52 62 65 73 104 124 130 146 155 248 260 292 310 365 403 520 584 620 730 806 823 949 1240 1460 1612 1646 1898 2015 2263 2920 3224 3292 3796 4030 4115 4526 4745 6584 7592 8060 8230 9052 9490 10699 11315 16120 16460 18104 18980 21398 22630 25513 29419 32920 37960 42796 45260 51026 53495 58838 60079 85592 90520 102052 106990 117676 120158 127565 147095 204104 213980 235352 240316 255130 294190 300395 331669 427960 480632 510260 588380 600790 663338 781027 1020520 1176760 1201580 1326676 1562054 1658345 1862449 2403160 2653352 3124108 3316690 3724898 3905135 6248216 6633380 7449796 7810270 9312245 13266760 14899592 15620540 18624490 24211837 31241080 37248980 48423674 74497960 96847348 121059185 193694696 242118370 484236740 968473480
- Sum of all divisors σ(n): 2458552320
- Sum of proper divisors (its aliquot sum) s(n): 1490078840
- 968473480 is an abundant number, because the sum of its proper divisors (1490078840) is greater than itself. Its abundance is 521605360
Bases of 968473480
- Binary: 1110011011100110111011100010002
- Hexadecimal: 0x39B9BB88
- Base-36: G0LQX4
Squares and roots of 968473480
- 968473480 squared (9684734802) is 937940881463310400
- 968473480 cubed (9684734803) is 908370869505039715408192000
-
The
square root of 968473480 is 31120.3065537601 -
The
cube root of 968473480 is 989.3787484127
Scales and comparisons
How big is 968473480?- 968,473,480 seconds is equal to 30 years, 41 weeks, 2 days, 4 hours, 24 minutes, 40 seconds.
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To count from 1 to 968,473,480 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 968473480 cubic inches would be around 82.4 feet tall.
Recreational maths with 968473480
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