132825000
132,825,000 is an even composite number composed of six prime numbers multiplied together.
132825000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132825000:
23 × 3 × 55 × 7 × 11 × 23
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 23)See below for interesting mathematical facts about the number 132825000 from the Numbermatics database.
Names of 132825000
- Cardinal: 132825000 can be written as One hundred thirty-two million, eight hundred twenty-five thousand.
Scientific notation
- Scientific notation: 1.32825 × 108
Factors of 132825000
Divisors of 132825000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 23 24 25 28 30 33 35 40 42 44 46 50 55 56 60 66 69 70 75 77 84 88 92 100 105 110 115 120 125 132 138 140 150 154 161 165 168 175 184 200 210 220 230 231 250 253 264 275 276 280 300 308 322 330 345 350 375 385 420 440 460 462 483 500 506 525 550 552 575 600 616 625 644 660 690 700 750 759 770 805 825 840 875 920 924 966 1000 1012 1050 1100 1150 1155 1250 1265 1288 1320 1375 1380 1400 1500 1518 1540 1610 1650 1725 1750 1771 1848 1875 1925 1932 2024 2100 2200 2300 2310 2415 2500 2530 2625 2750 2760 2875 3000 3036 3080 3125 3220 3300 3450 3500 3542 3750 3795 3850 3864 4025 4125 4200 4375 4600 4620 4830 5000 5060 5250 5313 5500 5750 5775 6072 6250 6325 6440 6600 6875 6900 7000 7084 7500 7590 7700 8050 8250 8625 8750 8855 9240 9375 9625 9660 10120 10500 10626 11000 11500 11550 12075 12500 12650 13125 13750 13800 14168 14375 15000 15180 15400 16100 16500 17250 17500 17710 18750 18975 19250 19320 20125 20625 21000 21252 21875 23000 23100 24150 25000 25300 26250 26565 27500 28750 28875 30360 31625 32200 33000 34375 34500 35000 35420 37500 37950 38500 40250 41250 42504 43125 43750 44275 46200 48125 48300 50600 52500 53130 55000 57500 57750 60375 63250 65625 68750 69000 70840 71875 75000 75900 77000 80500 82500 86250 87500 88550 94875 96250 96600 100625 103125 105000 106260 115000 115500 120750 126500 131250 132825 137500 143750 144375 151800 158125 161000 165000 172500 175000 177100 189750 192500 201250 206250 212520 215625 221375 231000 240625 241500 253000 262500 265650 275000 287500 288750 301875 316250 345000 354200 379500 385000 402500 412500 431250 442750 474375 481250 483000 503125 525000 531300 575000 577500 603750 632500 664125 721875 759000 790625 805000 825000 862500 885500 948750 962500 1006250 1062600 1106875 1155000 1207500 1265000 1328250 1443750 1509375 1581250 1725000 1771000 1897500 1925000 2012500 2213750 2371875 2415000 2656500 2887500 3018750 3162500 3320625 3795000 4025000 4427500 4743750 5313000 5534375 5775000 6037500 6325000 6641250 8855000 9487500 11068750 12075000 13282500 16603125 18975000 22137500 26565000 33206250 44275000 66412500 132825000
- Sum of all divisors σ(n): 539965440
- Sum of proper divisors (its aliquot sum) s(n): 407140440
- 132825000 is an abundant number, because the sum of its proper divisors (407140440) is greater than itself. Its abundance is 274315440
Bases of 132825000
- Binary: 1111110101010111111101010002
- Hexadecimal: 0x7EABFA8
- Base-36: 272WFC
Squares and roots of 132825000
- 132825000 squared (1328250002) is 17642480625000000
- 132825000 cubed (1328250003) is 2343362489015625000000000
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The
square root of 132825000 is 11524.9728850007 -
The
cube root of 132825000 is 510.2228937281
Scales and comparisons
How big is 132825000?- 132,825,000 seconds is equal to 4 years, 11 weeks, 4 days, 7 hours, 50 minutes.
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To count from 1 to 132,825,000 would take you about six 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 132825000 cubic inches would be around 42.5 feet tall.
Recreational maths with 132825000
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