968438450
968,438,450 is an even composite number composed of six prime numbers multiplied together.
968438450 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 968438450:
2 × 52 × 72 × 31 × 41 × 311
(2 × 5 × 5 × 7 × 7 × 31 × 41 × 311)See below for interesting mathematical facts about the number 968438450 from the Numbermatics database.
Names of 968438450
- Cardinal: 968438450 can be written as Nine hundred sixty-eight million, four hundred thirty-eight thousand, four hundred fifty.
Scientific notation
- Scientific notation: 9.6843845 × 108
Factors of 968438450
Divisors of 968438450
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 5 7 10 14 25 31 35 41 49 50 62 70 82 98 155 175 205 217 245 287 310 311 350 410 434 490 574 622 775 1025 1085 1225 1271 1435 1519 1550 1555 2009 2050 2170 2177 2450 2542 2870 3038 3110 4018 4354 5425 6355 7175 7595 7775 8897 9641 10045 10850 10885 12710 12751 14350 15190 15239 15550 17794 19282 20090 21770 25502 30478 31775 37975 44485 48205 50225 54425 62279 63550 63755 67487 75950 76195 88970 89257 96410 100450 108850 124558 127510 134974 152390 178514 222425 241025 311395 318775 337435 380975 395281 444850 446285 472409 482050 622790 624799 637550 674870 761950 790562 892570 944818 1249598 1556975 1687175 1976405 2231425 2362045 2766967 3113950 3123995 3374350 3952810 4462850 4724090 5533934 6247990 9882025 11810225 13834835 15619975 19368769 19764050 23620450 27669670 31239950 38737538 69174175 96843845 138348350 193687690 484219225 968438450
- Sum of all divisors σ(n): 2222857728
- Sum of proper divisors (its aliquot sum) s(n): 1254419278
- 968438450 is an abundant number, because the sum of its proper divisors (1254419278) is greater than itself. Its abundance is 285980828
Bases of 968438450
- Binary: 1110011011100100110010101100102
- Hexadecimal: 0x39B932B2
- Base-36: G0KZW2
Squares and roots of 968438450
- 968438450 squared (9684384502) is 937873031438402500
- 968438450 cubed (9684384503) is 908272304863007787576125000
-
The
square root of 968438450 is 31119.7437328781 -
The
cube root of 968438450 is 989.3668195521
Scales and comparisons
How big is 968438450?- 968,438,450 seconds is equal to 30 years, 41 weeks, 1 day, 18 hours, 40 minutes, 50 seconds.
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To count from 1 to 968,438,450 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 968438450 cubic inches would be around 82.4 feet tall.
Recreational maths with 968438450
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