315145728
315,145,728 is an even composite number composed of four prime numbers multiplied together.
315145728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 315145728:
29 × 35 × 17 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 149)See below for interesting mathematical facts about the number 315145728 from the Numbermatics database.
Names of 315145728
- Cardinal: 315145728 can be written as Three hundred fifteen million, one hundred forty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.15145728 × 108
Factors of 315145728
Divisors of 315145728
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 149 153 162 192 204 216 243 256 272 288 298 306 324 384 408 432 447 459 486 512 544 576 596 612 648 768 816 864 894 918 972 1088 1152 1192 1224 1296 1341 1377 1536 1632 1728 1788 1836 1944 2176 2304 2384 2448 2533 2592 2682 2754 3264 3456 3576 3672 3888 4023 4131 4352 4608 4768 4896 5066 5184 5364 5508 6528 6912 7152 7344 7599 7776 8046 8262 8704 9536 9792 10132 10368 10728 11016 12069 13056 13824 14304 14688 15198 15552 16092 16524 19072 19584 20264 20736 21456 22032 22797 24138 26112 28608 29376 30396 31104 32184 33048 36207 38144 39168 40528 41472 42912 44064 45594 48276 57216 58752 60792 62208 64368 66096 68391 72414 76288 78336 81056 85824 88128 91188 96552 114432 117504 121584 124416 128736 132192 136782 144828 162112 171648 176256 182376 193104 205173 228864 235008 243168 257472 264384 273564 289656 324224 343296 352512 364752 386208 410346 486336 514944 528768 547128 579312 615519 648448 686592 705024 729504 772416 820692 972672 1029888 1057536 1094256 1158624 1231038 1296896 1459008 1544832 1641384 1945344 2059776 2115072 2188512 2317248 2462076 2918016 3089664 3282768 3890688 4377024 4634496 4924152 5836032 6179328 6565536 8754048 9268992 9848304 11672064 13131072 17508096 18537984 19696608 26262144 35016192 39393216 52524288 78786432 105048576 157572864 315145728
- Sum of all divisors σ(n): 1005404400
- Sum of proper divisors (its aliquot sum) s(n): 690258672
- 315145728 is an abundant number, because the sum of its proper divisors (690258672) is greater than itself. Its abundance is 375112944
Bases of 315145728
- Binary: 100101100100010111110000000002
- Hexadecimal: 0x12C8BE00
- Base-36: 57MO00
Squares and roots of 315145728
- 315145728 squared (3151457282) is 99316829876649984
- 315145728 cubed (3151457283) is 31299274654129009408868352
-
The
square root of 315145728 is 17752.3442958951 -
The
cube root of 315145728 is 680.5141209995
Scales and comparisons
How big is 315145728?- 315,145,728 seconds is equal to 10 years, 1 week, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 315,145,728 would take you about fifteen 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 315145728 cubic inches would be around 56.7 feet tall.
Recreational maths with 315145728
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The information we have on file for 315145728 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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