132378400
132,378,400 is an even composite number composed of five prime numbers multiplied together.
132378400 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 132378400:
25 × 52 × 72 × 11 × 307
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 307)See below for interesting mathematical facts about the number 132378400 from the Numbermatics database.
Names of 132378400
- Cardinal: 132378400 can be written as One hundred thirty-two million, three hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.323784 × 108
Factors of 132378400
Divisors of 132378400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 70 77 80 88 98 100 110 112 140 154 160 175 176 196 200 220 224 245 275 280 307 308 350 352 385 392 400 440 490 539 550 560 614 616 700 770 784 800 880 980 1078 1100 1120 1225 1228 1232 1400 1535 1540 1568 1760 1925 1960 2149 2156 2200 2450 2456 2464 2695 2800 3070 3080 3377 3850 3920 4298 4312 4400 4900 4912 5390 5600 6140 6160 6754 7675 7700 7840 8596 8624 8800 9800 9824 10745 10780 12280 12320 13475 13508 15043 15350 15400 16885 17192 17248 19600 21490 21560 23639 24560 26950 27016 30086 30700 30800 33770 34384 39200 42980 43120 47278 49120 53725 53900 54032 60172 61400 61600 67540 68768 75215 84425 85960 86240 94556 107450 107800 108064 118195 120344 122800 135080 150430 165473 168850 171920 189112 214900 215600 236390 240688 245600 270160 300860 330946 337700 343840 376075 378224 429800 431200 472780 481376 540320 590975 601720 661892 675400 752150 756448 827365 859600 945560 1181950 1203440 1323784 1350800 1504300 1654730 1719200 1891120 2363900 2406880 2647568 2701600 3008600 3309460 3782240 4136825 4727800 5295136 6017200 6618920 8273650 9455600 12034400 13237840 16547300 18911200 26475680 33094600 66189200 132378400
- Sum of all divisors σ(n): 411442416
- Sum of proper divisors (its aliquot sum) s(n): 279064016
- 132378400 is an abundant number, because the sum of its proper divisors (279064016) is greater than itself. Its abundance is 146685616
Bases of 132378400
- Binary: 1111110001111101111001000002
- Hexadecimal: 0x7E3EF20
- Base-36: 26TBTS
Squares and roots of 132378400
- 132378400 squared (1323784002) is 17524040786560000
- 132378400 cubed (1323784003) is 2319804480859554304000000
-
The
square root of 132378400 is 11505.5812543305 -
The
cube root of 132378400 is 509.6504076047
Scales and comparisons
How big is 132378400?- 132,378,400 seconds is equal to 4 years, 10 weeks, 6 days, 3 hours, 46 minutes, 40 seconds.
-
To count from 1 to 132,378,400 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 132378400 cubic inches would be around 42.5 feet tall.
Recreational maths with 132378400
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