448225128
448,225,128 is an even composite number composed of five prime numbers multiplied together.
448225128 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 448225128:
23 × 32 × 13 × 172 × 1657
(2 × 2 × 2 × 3 × 3 × 13 × 17 × 17 × 1657)See below for interesting mathematical facts about the number 448225128 from the Numbermatics database.
Names of 448225128
- Cardinal: 448225128 can be written as Four hundred forty-eight million, two hundred twenty-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.48225128 × 108
Factors of 448225128
Divisors of 448225128
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 289 306 312 408 442 468 578 612 663 867 884 936 1156 1224 1326 1657 1734 1768 1989 2312 2601 2652 3314 3468 3757 3978 4971 5202 5304 6628 6936 7514 7956 9942 10404 11271 13256 14913 15028 15912 19884 20808 21541 22542 28169 29826 30056 33813 39768 43082 45084 56338 59652 64623 67626 84507 86164 90168 112676 119304 129246 135252 169014 172328 193869 225352 253521 258492 270504 338028 366197 387738 478873 507042 516984 676056 732394 775476 957746 1014084 1098591 1436619 1464788 1550952 1915492 2028168 2197182 2873238 2929576 3295773 3830984 4309857 4394364 5746476 6225349 6591546 8619714 8788728 11492952 12450698 13183092 17239428 18676047 24901396 26366184 34478856 37352094 49802792 56028141 74704188 112056282 149408376 224112564 448225128
- Sum of all divisors σ(n): 1389586380
- Sum of proper divisors (its aliquot sum) s(n): 941361252
- 448225128 is an abundant number, because the sum of its proper divisors (941361252) is greater than itself. Its abundance is 493136124
Bases of 448225128
- Binary: 110101011011101011111011010002
- Hexadecimal: 0x1AB75F68
- Base-36: 7EV0Q0
Squares and roots of 448225128
- 448225128 squared (4482251282) is 200905765370616384
- 448225128 cubed (4482251283) is 90051012399182496157297152
-
The
square root of 448225128 is 21171.3279696857 -
The
cube root of 448225128 is 765.3006225893
Scales and comparisons
How big is 448225128?- 448,225,128 seconds is equal to 14 years, 13 weeks, 18 hours, 58 minutes, 48 seconds.
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To count from 1 to 448,225,128 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 448225128 cubic inches would be around 63.8 feet tall.
Recreational maths with 448225128
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