132988800
132,988,800 is an even composite number composed of five prime numbers multiplied together.
132988800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 132988800:
27 × 3 × 52 × 7 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 1979)See below for interesting mathematical facts about the number 132988800 from the Numbermatics database.
Names of 132988800
- Cardinal: 132988800 can be written as One hundred thirty-two million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.329888 × 108
Factors of 132988800
Divisors of 132988800
- Number of divisors d(n): 192
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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 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 384 400 420 448 480 525 560 600 640 672 700 800 840 896 960 1050 1120 1200 1344 1400 1600 1680 1920 1979 2100 2240 2400 2688 2800 3200 3360 3958 4200 4480 4800 5600 5937 6720 7916 8400 9600 9895 11200 11874 13440 13853 15832 16800 19790 22400 23748 27706 29685 31664 33600 39580 41559 47496 49475 55412 59370 63328 67200 69265 79160 83118 94992 98950 110824 118740 126656 138530 148425 158320 166236 189984 197900 207795 221648 237480 253312 277060 296850 316640 332472 346325 379968 395800 415590 443296 474960 554120 593700 633280 664944 692650 759936 791600 831180 886592 949920 1038975 1108240 1187400 1266560 1329888 1385300 1583200 1662360 1773184 1899840 2077950 2216480 2374800 2659776 2770600 3166400 3324720 3799680 4155900 4432960 4749600 5319552 5541200 6332800 6649440 8311800 8865920 9499200 11082400 13298880 16623600 18998400 22164800 26597760 33247200 44329600 66494400 132988800
- Sum of all divisors σ(n): 500860800
- Sum of proper divisors (its aliquot sum) s(n): 367872000
- 132988800 is an abundant number, because the sum of its proper divisors (367872000) is greater than itself. Its abundance is 234883200
Bases of 132988800
- Binary: 1111110110100111111100000002
- Hexadecimal: 0x7ED3F80
- Base-36: 276ETC
Squares and roots of 132988800
- 132988800 squared (1329888002) is 17686020925440000
- 132988800 cubed (1329888003) is 2352042699649155072000000
-
The
square root of 132988800 is 11532.0770028647 -
The
cube root of 132988800 is 510.4325434647
Scales and comparisons
How big is 132988800?- 132,988,800 seconds is equal to 4 years, 11 weeks, 6 days, 5 hours, 20 minutes.
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To count from 1 to 132,988,800 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 132988800 cubic inches would be around 42.5 feet tall.
Recreational maths with 132988800
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