398720256
398,720,256 is an even composite number composed of five prime numbers multiplied together.
398720256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 398720256:
28 × 3 × 11 × 109 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 109 × 433)See below for interesting mathematical facts about the number 398720256 from the Numbermatics database.
Names of 398720256
- Cardinal: 398720256 can be written as Three hundred ninety-eight million, seven hundred twenty thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 3.98720256 × 108
Factors of 398720256
Divisors of 398720256
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 256 264 327 352 384 433 436 528 654 704 768 866 872 1056 1199 1299 1308 1408 1732 1744 2112 2398 2598 2616 2816 3464 3488 3597 4224 4763 4796 5196 5232 6928 6976 7194 8448 9526 9592 10392 10464 13856 13952 14289 14388 19052 19184 20784 20928 27712 27904 28578 28776 38104 38368 41568 41856 47197 55424 57156 57552 76208 76736 83136 83712 94394 110848 114312 115104 141591 152416 153472 166272 188788 228624 230208 283182 304832 306944 332544 377576 457248 460416 519167 566364 609664 755152 914496 920832 1038334 1132728 1219328 1510304 1557501 1828992 2076668 2265456 3020608 3115002 3657984 4153336 4530912 6041216 6230004 8306672 9061824 12082432 12460008 16613344 18123648 24920016 33226688 36247296 49840032 66453376 99680064 132906752 199360128 398720256
- Sum of all divisors σ(n): 1170966720
- Sum of proper divisors (its aliquot sum) s(n): 772246464
- 398720256 is an abundant number, because the sum of its proper divisors (772246464) is greater than itself. Its abundance is 373526208
Bases of 398720256
- Binary: 101111100001111111101000000002
- Hexadecimal: 0x17C3FD00
- Base-36: 6LDYIO
Squares and roots of 398720256
- 398720256 squared (3987202562) is 158977842544705536
- 398720256 cubed (3987202563) is 63387686077752682758537216
-
The
square root of 398720256 is 19967.9807692215 -
The
cube root of 398720256 is 736.0196907145
Scales and comparisons
How big is 398720256?- 398,720,256 seconds is equal to 12 years, 35 weeks, 1 day, 19 hours, 37 minutes, 36 seconds.
-
To count from 1 to 398,720,256 would take you about nineteen 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 398720256 cubic inches would be around 61.3 feet tall.
Recreational maths with 398720256
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