132475200
132,475,200 is an even composite number composed of six prime numbers multiplied together.
132475200 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 132475200:
26 × 3 × 52 × 11 × 13 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 193)See below for interesting mathematical facts about the number 132475200 from the Numbermatics database.
Names of 132475200
- Cardinal: 132475200 can be written as One hundred thirty-two million, four hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.324752 × 108
Factors of 132475200
Divisors of 132475200
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 130 132 143 150 156 160 165 176 192 193 195 200 208 220 240 260 264 275 286 300 312 320 325 330 352 386 390 400 416 429 440 480 520 528 550 572 579 600 624 650 660 704 715 772 780 800 825 832 858 880 960 965 975 1040 1056 1100 1144 1158 1200 1248 1300 1320 1430 1544 1560 1600 1650 1716 1760 1930 1950 2080 2112 2123 2145 2200 2288 2316 2400 2496 2509 2600 2640 2860 2895 3088 3120 3300 3432 3520 3575 3860 3900 4160 4246 4290 4400 4576 4632 4800 4825 5018 5200 5280 5720 5790 6176 6240 6369 6600 6864 7150 7527 7720 7800 8492 8580 8800 9152 9264 9650 10036 10400 10560 10615 10725 11440 11580 12352 12480 12545 12738 13200 13728 14300 14475 15054 15440 15600 16984 17160 17600 18528 19300 20072 20800 21230 21450 22880 23160 25090 25476 26400 27456 27599 28600 28950 30108 30880 31200 31845 33968 34320 37056 37635 38600 40144 42460 42900 45760 46320 50180 50952 52800 53075 55198 57200 57900 60216 61760 62400 62725 63690 67936 68640 75270 77200 80288 82797 84920 85800 92640 100360 101904 106150 110396 114400 115800 120432 125450 127380 135872 137280 137995 150540 154400 159225 160576 165594 169840 171600 185280 188175 200720 203808 212300 220792 228800 231600 240864 250900 254760 275990 301080 308800 318450 331188 339680 343200 376350 401440 407616 413985 424600 441584 463200 481728 501800 509520 551980 602160 636900 662376 679360 686400 689975 752700 802880 827970 849200 883168 926400 1003600 1019040 1103960 1204320 1273800 1324752 1379950 1505400 1655940 1698400 1766336 2007200 2038080 2069925 2207920 2408640 2547600 2649504 2759900 3010800 3311880 3396800 4014400 4139850 4415840 5095200 5299008 5519800 6021600 6623760 8279700 8831680 10190400 11039600 12043200 13247520 16559400 22079200 26495040 33118800 44158400 66237600 132475200
- Sum of all divisors σ(n): 513258816
- Sum of proper divisors (its aliquot sum) s(n): 380783616
- 132475200 is an abundant number, because the sum of its proper divisors (380783616) is greater than itself. Its abundance is 248308416
Bases of 132475200
- Binary: 1111110010101101001010000002
- Hexadecimal: 0x7E56940
- Base-36: 26VEIO
Squares and roots of 132475200
- 132475200 squared (1324752002) is 17549678615040000
- 132475200 cubed (1324752003) is 2324897184463147008000000
-
The
square root of 132475200 is 11509.7871396477 -
The
cube root of 132475200 is 509.7746024365
Scales and comparisons
How big is 132475200?- 132,475,200 seconds is equal to 4 years, 11 weeks, 6 hours, 40 minutes.
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To count from 1 to 132,475,200 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 132475200 cubic inches would be around 42.5 feet tall.
Recreational maths with 132475200
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