132283200
132,283,200 is an even composite number composed of six prime numbers multiplied together.
132283200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 132283200:
26 × 3 × 52 × 7 × 31 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 127)See below for interesting mathematical facts about the number 132283200 from the Numbermatics database.
Names of 132283200
- Cardinal: 132283200 can be written as One hundred thirty-two million, two hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.322832 × 108
Factors of 132283200
Divisors of 132283200
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 127 140 150 155 160 168 175 186 192 200 210 217 224 240 248 254 280 300 310 320 336 350 372 381 400 420 434 448 465 480 496 508 525 560 600 620 635 651 672 700 744 762 775 800 840 868 889 930 960 992 1016 1050 1085 1120 1200 1240 1270 1302 1344 1400 1488 1524 1550 1600 1680 1736 1778 1860 1905 1984 2032 2100 2170 2240 2325 2400 2480 2540 2604 2667 2800 2976 3048 3100 3175 3255 3360 3472 3556 3720 3810 3937 4064 4200 4340 4445 4650 4800 4960 5080 5208 5334 5425 5600 5952 6096 6200 6350 6510 6720 6944 7112 7440 7620 7874 8128 8400 8680 8890 9300 9525 9920 10160 10416 10668 10850 11200 11811 12192 12400 12700 13020 13335 13888 14224 14880 15240 15748 16275 16800 17360 17780 18600 19050 19685 20320 20832 21336 21700 22225 23622 24384 24800 25400 26040 26670 27559 28448 29760 30480 31496 32550 33600 34720 35560 37200 38100 39370 40640 41664 42672 43400 44450 47244 49600 50800 52080 53340 55118 56896 59055 60960 62992 65100 66675 69440 71120 74400 76200 78740 82677 85344 86800 88900 94488 98425 101600 104160 106680 110236 118110 121920 125984 130200 133350 137795 142240 148800 152400 157480 165354 170688 173600 177800 188976 196850 203200 208320 213360 220472 236220 251968 260400 266700 275590 284480 295275 304800 314960 330708 347200 355600 377952 393700 413385 426720 440944 472440 520800 533400 551180 590550 609600 629920 661416 688975 711200 755904 787400 826770 853440 881888 944880 1041600 1066800 1102360 1181100 1259840 1322832 1377950 1422400 1574800 1653540 1763776 1889760 2066925 2133600 2204720 2362200 2645664 2755900 3149600 3307080 3779520 4133850 4267200 4409440 4724400 5291328 5511800 6299200 6614160 8267700 8818880 9448800 11023600 13228320 16535400 18897600 22047200 26456640 33070800 44094400 66141600 132283200
- Sum of all divisors σ(n): 516030464
- Sum of proper divisors (its aliquot sum) s(n): 383747264
- 132283200 is an abundant number, because the sum of its proper divisors (383747264) is greater than itself. Its abundance is 251464064
Bases of 132283200
- Binary: 1111110001001111011010000002
- Hexadecimal: 0x7E27B40
- Base-36: 26RADC
Squares and roots of 132283200
- 132283200 squared (1322832002) is 17498845002240000
- 132283200 cubed (1322832003) is 2314803213200314368000000
-
The
square root of 132283200 is 11501.4433876795 -
The
cube root of 132283200 is 509.5282065151
Scales and comparisons
How big is 132283200?- 132,283,200 seconds is equal to 4 years, 10 weeks, 5 days, 1 hour, 20 minutes.
-
To count from 1 to 132,283,200 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 132283200 cubic inches would be around 42.5 feet tall.
Recreational maths with 132283200
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