12988800
12,988,800 is an even composite number composed of five prime numbers multiplied together.
12988800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12988800:
27 × 32 × 52 × 11 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 41)See below for interesting mathematical facts about the number 12988800 from the Numbermatics database.
Names of 12988800
- Cardinal: 12988800 can be written as Twelve million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29888 × 107
Factors of 12988800
Divisors of 12988800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 41 44 45 48 50 55 60 64 66 72 75 80 82 88 90 96 99 100 110 120 123 128 132 144 150 160 164 165 176 180 192 198 200 205 220 225 240 246 264 275 288 300 320 328 330 352 360 369 384 396 400 410 440 450 451 480 492 495 528 550 576 600 615 640 656 660 704 720 738 792 800 820 825 880 900 902 960 984 990 1025 1056 1100 1152 1200 1230 1312 1320 1353 1408 1440 1476 1584 1600 1640 1650 1760 1800 1804 1845 1920 1968 1980 2050 2112 2200 2255 2400 2460 2475 2624 2640 2706 2880 2952 3075 3168 3200 3280 3300 3520 3600 3608 3690 3936 3960 4059 4100 4224 4400 4510 4800 4920 4950 5248 5280 5412 5760 5904 6150 6336 6560 6600 6765 7040 7200 7216 7380 7872 7920 8118 8200 8800 9020 9225 9600 9840 9900 10560 10824 11275 11808 12300 12672 13120 13200 13530 14400 14432 14760 15744 15840 16236 16400 17600 18040 18450 19680 19800 20295 21120 21648 22550 23616 24600 26240 26400 27060 28800 28864 29520 31680 32472 32800 33825 35200 36080 36900 39360 39600 40590 43296 45100 47232 49200 52800 54120 57728 59040 63360 64944 65600 67650 72160 73800 78720 79200 81180 86592 90200 98400 101475 105600 108240 118080 129888 131200 135300 144320 147600 158400 162360 173184 180400 196800 202950 216480 236160 259776 270600 288640 295200 316800 324720 360800 393600 405900 432960 519552 541200 590400 649440 721600 811800 865920 1082400 1180800 1298880 1443200 1623600 2164800 2597760 3247200 4329600 6494400 12988800
- Sum of all divisors σ(n): 51793560
- Sum of proper divisors (its aliquot sum) s(n): 38804760
- 12988800 is an abundant number, because the sum of its proper divisors (38804760) is greater than itself. Its abundance is 25815960
Bases of 12988800
- Binary: 1100011000110001100000002
- Hexadecimal: 0xC63180
- Base-36: 7QE80
Squares and roots of 12988800
- 12988800 squared (129888002) is 168708925440000
- 12988800 cubed (129888003) is 2191326490755072000000
-
The
square root of 12988800 is 3603.9977802435 -
The
cube root of 12988800 is 235.0659238619
Scales and comparisons
How big is 12988800?- 12,988,800 seconds is equal to 21 weeks, 3 days, 8 hours.
-
To count from 1 to 12,988,800 would take you about thirty-two weeks!
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 12988800 cubic inches would be around 19.6 feet tall.
Recreational maths with 12988800
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The information we have on file for 12988800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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