428341248
428,341,248 is an even composite number composed of four prime numbers multiplied together.
428341248 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428341248:
211 × 32 × 17 × 1367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 1367)See below for interesting mathematical facts about the number 428341248 from the Numbermatics database.
Names of 428341248
- Cardinal: 428341248 can be written as Four hundred twenty-eight million, three hundred forty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.28341248 × 108
Factors of 428341248
Divisors of 428341248
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1367 1536 1632 2048 2176 2304 2448 2734 3072 3264 4101 4352 4608 4896 5468 6144 6528 8202 8704 9216 9792 10936 12303 13056 16404 17408 18432 19584 21872 23239 24606 26112 32808 34816 39168 43744 46478 49212 52224 65616 69717 78336 87488 92956 98424 104448 131232 139434 156672 174976 185912 196848 209151 262464 278868 313344 349952 371824 393696 418302 524928 557736 699904 743648 787392 836604 1049856 1115472 1399808 1487296 1574784 1673208 2099712 2230944 2799616 2974592 3149568 3346416 4199424 4461888 5949184 6299136 6692832 8398848 8923776 11898368 12598272 13385664 17847552 23796736 25196544 26771328 35695104 47593472 53542656 71390208 107085312 142780416 214170624 428341248
- Sum of all divisors σ(n): 1310858640
- Sum of proper divisors (its aliquot sum) s(n): 882517392
- 428341248 is an abundant number, because the sum of its proper divisors (882517392) is greater than itself. Its abundance is 454176144
Bases of 428341248
- Binary: 110011000011111111000000000002
- Hexadecimal: 0x1987F800
- Base-36: 730U80
Squares and roots of 428341248
- 428341248 squared (4283412482) is 183476224738197504
- 428341248 cubed (4283412483) is 78590435082687992133844992
-
The
square root of 428341248 is 20696.4066446327 -
The
cube root of 428341248 is 753.8124382487
Scales and comparisons
How big is 428341248?- 428,341,248 seconds is equal to 13 years, 32 weeks, 1 day, 15 hours, 40 minutes, 48 seconds.
-
To count from 1 to 428,341,248 would take you about twenty 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 428341248 cubic inches would be around 62.8 feet tall.
Recreational maths with 428341248
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