428725080
428,725,080 is an even composite number composed of six prime numbers multiplied together.
428725080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428725080:
23 × 32 × 5 × 7 × 61 × 2789
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 61 × 2789)See below for interesting mathematical facts about the number 428725080 from the Numbermatics database.
Names of 428725080
- Cardinal: 428725080 can be written as Four hundred twenty-eight million, seven hundred twenty-five thousand and eighty.
Scientific notation
- Scientific notation: 4.2872508 × 108
Factors of 428725080
Divisors of 428725080
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 61 63 70 72 84 90 105 120 122 126 140 168 180 183 210 244 252 280 305 315 360 366 420 427 488 504 549 610 630 732 840 854 915 1098 1220 1260 1281 1464 1708 1830 2135 2196 2440 2520 2562 2745 2789 3416 3660 3843 4270 4392 5124 5490 5578 6405 7320 7686 8367 8540 10248 10980 11156 12810 13945 15372 16734 17080 19215 19523 21960 22312 25101 25620 27890 30744 33468 38430 39046 41835 50202 51240 55780 58569 66936 76860 78092 83670 97615 100404 111560 117138 125505 153720 156184 167340 170129 175707 195230 200808 234276 251010 292845 334680 340258 351414 390460 468552 502020 510387 585690 680516 702828 780920 850645 878535 1004040 1020774 1171380 1190903 1361032 1405656 1531161 1701290 1757070 2041548 2342760 2381806 2551935 3062322 3402580 3514140 3572709 4083096 4763612 5103870 5954515 6124644 6805160 7028280 7145418 7655805 9527224 10207740 10718127 11909030 12249288 14290836 15311610 17863545 20415480 21436254 23818060 28581672 30623220 35727090 42872508 47636120 53590635 61246440 71454180 85745016 107181270 142908360 214362540 428725080
- Sum of all divisors σ(n): 1619092800
- Sum of proper divisors (its aliquot sum) s(n): 1190367720
- 428725080 is an abundant number, because the sum of its proper divisors (1190367720) is greater than itself. Its abundance is 761642640
Bases of 428725080
- Binary: 110011000110111010011010110002
- Hexadecimal: 0x198DD358
- Base-36: 7392E0
Squares and roots of 428725080
- 428725080 squared (4287250802) is 183805194221006400
- 428725080 cubed (4287250803) is 78801896596816506520512000
-
The
square root of 428725080 is 20705.6774822753 -
The
cube root of 428725080 is 754.0375321091
Scales and comparisons
How big is 428725080?- 428,725,080 seconds is equal to 13 years, 32 weeks, 6 days, 2 hours, 18 minutes.
-
To count from 1 to 428,725,080 would take you about twenty 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 428725080 cubic inches would be around 62.8 feet tall.
Recreational maths with 428725080
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