830131920
830,131,920 is an even composite number composed of six prime numbers multiplied together.
830131920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 830131920:
24 × 32 × 5 × 41 × 61 × 461
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 61 × 461)See below for interesting mathematical facts about the number 830131920 from the Numbermatics database.
Names of 830131920
- Cardinal: 830131920 can be written as Eight hundred thirty million, one hundred thirty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.3013192 × 108
Factors of 830131920
Divisors of 830131920
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 61 72 80 82 90 120 122 123 144 164 180 183 205 240 244 246 305 328 360 366 369 410 461 488 492 549 610 615 656 720 732 738 820 915 922 976 984 1098 1220 1230 1383 1464 1476 1640 1830 1844 1845 1968 2196 2305 2440 2460 2501 2745 2766 2928 2952 3280 3660 3688 3690 4149 4392 4610 4880 4920 5002 5490 5532 5904 6915 7320 7376 7380 7503 8298 8784 9220 9840 10004 10980 11064 12505 13830 14640 14760 15006 16596 18440 18901 20008 20745 21960 22128 22509 25010 27660 28121 29520 30012 33192 36880 37515 37802 40016 41490 43920 45018 50020 55320 56242 56703 60024 66384 75030 75604 82980 84363 90036 94505 100040 110640 112484 112545 113406 120048 140605 150060 151208 165960 168726 170109 180072 189010 200080 224968 225090 226812 253089 281210 283515 300120 302416 331920 337452 340218 360144 378020 421815 449936 450180 453624 506178 562420 567030 600240 674904 680436 756040 843630 850545 900360 907248 1012356 1124840 1134060 1152961 1265445 1349808 1360872 1512080 1687260 1701090 1800720 2024712 2249680 2268120 2305922 2530890 2721744 3374520 3402180 3458883 4049424 4536240 4611844 5061780 5764805 6749040 6804360 6917766 9223688 10123560 10376649 11529610 13608720 13835532 17294415 18447376 20247120 20753298 23059220 27671064 34588830 41506596 46118440 51883245 55342128 69177660 83013192 92236880 103766490 138355320 166026384 207532980 276710640 415065960 830131920
- Sum of all divisors σ(n): 2908970064
- Sum of proper divisors (its aliquot sum) s(n): 2078838144
- 830131920 is an abundant number, because the sum of its proper divisors (2078838144) is greater than itself. Its abundance is 1248706224
Bases of 830131920
- Binary: 1100010111101011001110110100002
- Hexadecimal: 0x317ACED0
- Base-36: DQ8LW0
Squares and roots of 830131920
- 830131920 squared (8301319202) is 689119004602886400
- 830131920 cubed (8301319203) is 572059682399482924773888000
-
The
square root of 830131920 is 28812.0099958333 -
The
cube root of 830131920 is 939.8294243073
Scales and comparisons
How big is 830131920?- 830,131,920 seconds is equal to 26 years, 20 weeks, 4 days, 12 minutes.
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To count from 1 to 830,131,920 would take you about thirty-nine 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 830131920 cubic inches would be around 78.3 feet tall.
Recreational maths with 830131920
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"Number 830131920 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 830131920 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/830131920/
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