968384200
968,384,200 is an even composite number composed of six prime numbers multiplied together.
968384200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 968384200:
23 × 52 × 7 × 31 × 53 × 421
(2 × 2 × 2 × 5 × 5 × 7 × 31 × 53 × 421)See below for interesting mathematical facts about the number 968384200 from the Numbermatics database.
Names of 968384200
- Cardinal: 968384200 can be written as Nine hundred sixty-eight million, three hundred eighty-four thousand, two hundred.
Scientific notation
- Scientific notation: 9.683842 × 108
Factors of 968384200
Divisors of 968384200
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 53 56 62 70 100 106 124 140 155 175 200 212 217 248 265 280 310 350 371 421 424 434 530 620 700 742 775 842 868 1060 1085 1240 1325 1400 1484 1550 1643 1684 1736 1855 2105 2120 2170 2650 2947 2968 3100 3286 3368 3710 4210 4340 5300 5425 5894 6200 6572 7420 8215 8420 8680 9275 10525 10600 10850 11501 11788 13051 13144 14735 14840 16430 16840 18550 21050 21700 22313 23002 23576 26102 29470 32860 37100 41075 42100 43400 44626 46004 52204 57505 58940 65255 65720 73675 74200 82150 84200 89252 91357 92008 104408 111565 115010 117880 130510 147350 156191 164300 178504 182714 223130 230020 261020 287525 294700 312382 326275 328600 365428 446260 456785 460040 522040 557825 575050 589400 624764 652550 691703 730856 780955 892520 913570 1115650 1150100 1249528 1305100 1383406 1561910 1827140 2231300 2283925 2300200 2610200 2766812 3123820 3458515 3654280 3904775 4462600 4567850 4841921 5533624 6247640 6917030 7809550 9135700 9683842 13834060 15619100 17292575 18271400 19367684 24209605 27668120 31238200 34585150 38735368 48419210 69170300 96838420 121048025 138340600 193676840 242096050 484192100 968384200
- Sum of all divisors σ(n): 2712683520
- Sum of proper divisors (its aliquot sum) s(n): 1744299320
- 968384200 is an abundant number, because the sum of its proper divisors (1744299320) is greater than itself. Its abundance is 775915120
Bases of 968384200
- Binary: 1110011011100001011110110010002
- Hexadecimal: 0x39B85EC8
- Base-36: G0JU14
Squares and roots of 968384200
- 968384200 squared (9683842002) is 937767958809640000
- 968384200 cubed (9683842003) is 908119674577506183688000000
-
The
square root of 968384200 is 31118.8720875293 -
The
cube root of 968384200 is 989.3483450851
Scales and comparisons
How big is 968384200?- 968,384,200 seconds is equal to 30 years, 41 weeks, 1 day, 3 hours, 36 minutes, 40 seconds.
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To count from 1 to 968,384,200 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 968384200 cubic inches would be around 82.4 feet tall.
Recreational maths with 968384200
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