385148960
385,148,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 385148960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
385148960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 385148960:
25 × 5 × 7 × 31 × 11093
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 11093)See below for interesting mathematical facts about the number 385148960 from the Numbermatics database.
Names of 385148960
- Cardinal: 385148960 can be written as Three hundred eighty-five million, one hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 3.8514896 × 108
Factors of 385148960
Divisors of 385148960
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 11093 17360 22186 34720 44372 55465 77651 88744 110930 155302 177488 221860 310604 343883 354976 388255 443720 621208 687766 776510 887440 1242416 1375532 1553020 1719415 1774880 2407181 2484832 2751064 3106040 3438830 4814362 5502128 6212080 6877660 9628724 11004256 12035905 12424160 13755320 19257448 24071810 27510640 38514896 48143620 55021280 77029792 96287240 192574480 385148960
- Sum of all divisors σ(n): 1073544192
- Sum of proper divisors (its aliquot sum) s(n): 688395232
- 385148960 is an abundant number, because the sum of its proper divisors (688395232) is greater than itself. Its abundance is 303246272
Bases of 385148960
- Binary: 101101111010011101000001000002
- Hexadecimal: 0x16F4E820
- Base-36: 6DB2U8
Squares and roots of 385148960
- 385148960 squared (3851489602) is 148339721389081600
- 385148960 cubed (3851489603) is 57132889419694533595136000
-
The
square root of 385148960 is 19625.2123555387 -
The
cube root of 385148960 is 727.5724454805
Scales and comparisons
How big is 385148960?- 385,148,960 seconds is equal to 12 years, 12 weeks, 5 days, 17 hours, 49 minutes, 20 seconds.
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To count from 1 to 385,148,960 would take you about eighteen 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 385148960 cubic inches would be around 60.6 feet tall.
Recreational maths with 385148960
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