125728512
125,728,512 is an even composite number composed of five prime numbers multiplied together.
125728512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 125728512:
28 × 3 × 72 × 13 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 257)See below for interesting mathematical facts about the number 125728512 from the Numbermatics database.
Names of 125728512
- Cardinal: 125728512 can be written as One hundred twenty-five million, seven hundred twenty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.25728512 × 108
Factors of 125728512
Divisors of 125728512
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 182 192 196 208 224 256 257 273 294 312 336 364 384 392 416 448 514 546 588 624 637 672 728 768 771 784 832 896 1028 1092 1176 1248 1274 1344 1456 1542 1568 1664 1792 1799 1911 2056 2184 2352 2496 2548 2688 2912 3084 3136 3328 3341 3598 3822 4112 4368 4704 4992 5096 5376 5397 5824 6168 6272 6682 7196 7644 8224 8736 9408 9984 10023 10192 10794 11648 12336 12544 12593 13364 14392 15288 16448 17472 18816 20046 20384 21588 23296 23387 24672 25186 26728 28784 30576 32896 34944 37632 37779 40092 40768 43176 46774 49344 50372 53456 57568 61152 65792 69888 70161 75558 80184 81536 86352 93548 98688 100744 106912 115136 122304 140322 151116 160368 163072 163709 172704 187096 197376 201488 213824 230272 244608 280644 302232 320736 327418 345408 374192 402976 427648 460544 489216 491127 561288 604464 641472 654836 690816 748384 805952 855296 982254 1122576 1208928 1282944 1309672 1381632 1496768 1611904 1964508 2245152 2417856 2565888 2619344 2993536 3223808 3929016 4490304 4835712 5238688 5987072 7858032 8980608 9671424 10477376 15716064 17961216 20954752 31432128 41909504 62864256 125728512
- Sum of all divisors σ(n): 420826896
- Sum of proper divisors (its aliquot sum) s(n): 295098384
- 125728512 is an abundant number, because the sum of its proper divisors (295098384) is greater than itself. Its abundance is 169369872
Bases of 125728512
- Binary: 1110111111001110111000000002
- Hexadecimal: 0x77E7700
- Base-36: 22USQO
Squares and roots of 125728512
- 125728512 squared (1257285122) is 15807658729734144
- 125728512 cubed (1257285123) is 1987473410293284080713728
-
The
square root of 125728512 is 11212.8726025047 -
The
cube root of 125728512 is 500.9694683805
Scales and comparisons
How big is 125728512?- 125,728,512 seconds is equal to 3 years, 51 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
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To count from 1 to 125,728,512 would take you about five 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 125728512 cubic inches would be around 41.7 feet tall.
Recreational maths with 125728512
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