145152
145,152 is an even composite number composed of three prime numbers multiplied together.
What does the number 145152 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 90 divisors.
145152 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 145152:
28 × 34 × 7
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)See below for interesting mathematical facts about the number 145152 from the Numbermatics database.
Names of 145152
- Cardinal: 145152 can be written as One hundred forty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.45152 × 105
Factors of 145152
Divisors of 145152
- Number of divisors d(n): 90
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 567 576 648 672 756 768 864 896 1008 1134 1152 1296 1344 1512 1728 1792 2016 2268 2304 2592 2688 3024 3456 4032 4536 5184 5376 6048 6912 8064 9072 10368 12096 16128 18144 20736 24192 36288 48384 72576 145152
- Sum of all divisors σ(n): 494648
- Sum of proper divisors (its aliquot sum) s(n): 349496
- 145152 is an abundant number, because the sum of its proper divisors (349496) is greater than itself. Its abundance is 204344
Bases of 145152
- Binary: 1000110111000000002
- Hexadecimal: 0x23700
- Base-36: 3400
Squares and roots of 145152
- 145152 squared (1451522) is 21069103104
- 145152 cubed (1451523) is 3058222453751808
-
The
square root of 145152 is 380.9881887933 -
The
cube root of 145152 is 52.5542296787
Scales and comparisons
How big is 145152?- 145,152 seconds is equal to 1 day, 16 hours, 19 minutes, 12 seconds.
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To count from 1 to 145,152 would take you about sixteen hours.
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 145152 cubic inches would be around 4.4 feet tall.
Recreational maths with 145152
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