448230728
448,230,728 is an even composite number composed of six prime numbers multiplied together.
448230728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 448230728:
23 × 11 × 29 × 37 × 47 × 101
(2 × 2 × 2 × 11 × 29 × 37 × 47 × 101)See below for interesting mathematical facts about the number 448230728 from the Numbermatics database.
Names of 448230728
- Cardinal: 448230728 can be written as Four hundred forty-eight million, two hundred thirty thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.48230728 × 108
Factors of 448230728
Divisors of 448230728
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 8 11 22 29 37 44 47 58 74 88 94 101 116 148 188 202 232 296 319 376 404 407 517 638 808 814 1034 1073 1111 1276 1363 1628 1739 2068 2146 2222 2552 2726 2929 3256 3478 3737 4136 4292 4444 4747 5452 5858 6956 7474 8584 8888 9494 10904 11716 11803 13912 14948 14993 18988 19129 23432 23606 29896 29986 32219 37976 38258 41107 47212 50431 52217 59972 64438 76516 82214 94424 100862 104434 108373 119944 128876 137663 153032 164428 175639 201724 208868 216746 257752 275326 328856 351278 403448 417736 433492 550652 554741 702556 866984 1101304 1109482 1192103 1405112 1514293 1932029 2218964 2384206 3028586 3864058 4437928 4768412 5093531 6057172 7728116 9536824 10187062 12114344 15456232 20374124 40748248 56028841 112057682 224115364 448230728
- Sum of all divisors σ(n): 1004659200
- Sum of proper divisors (its aliquot sum) s(n): 556428472
- 448230728 is an abundant number, because the sum of its proper divisors (556428472) is greater than itself. Its abundance is 108197744
Bases of 448230728
- Binary: 110101011011101110101010010002
- Hexadecimal: 0x1AB77548
- Base-36: 7EV51K
Squares and roots of 448230728
- 448230728 squared (4482307282) is 200910785523409984
- 448230728 cubed (4482307283) is 90054387658209918170788352
-
The
square root of 448230728 is 21171.4602236123 -
The
cube root of 448230728 is 765.3038097271
Scales and comparisons
How big is 448230728?- 448,230,728 seconds is equal to 14 years, 13 weeks, 20 hours, 32 minutes, 8 seconds.
-
To count from 1 to 448,230,728 would take you about twenty-one 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 448230728 cubic inches would be around 63.8 feet tall.
Recreational maths with 448230728
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