126048000
126,048,000 is an even composite number composed of five prime numbers multiplied together.
126048000 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 126048000:
28 × 3 × 53 × 13 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 101)See below for interesting mathematical facts about the number 126048000 from the Numbermatics database.
Names of 126048000
- Cardinal: 126048000 can be written as One hundred twenty-six million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.26048 × 108
Factors of 126048000
Divisors of 126048000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 101 104 120 125 128 130 150 156 160 192 195 200 202 208 240 250 256 260 300 303 312 320 325 375 384 390 400 404 416 480 500 505 520 600 606 624 640 650 750 768 780 800 808 832 960 975 1000 1010 1040 1200 1212 1248 1280 1300 1313 1500 1515 1560 1600 1616 1625 1664 1920 1950 2000 2020 2080 2400 2424 2496 2525 2600 2626 3000 3030 3120 3200 3232 3250 3328 3840 3900 3939 4000 4040 4160 4800 4848 4875 4992 5050 5200 5252 6000 6060 6240 6400 6464 6500 6565 7575 7800 7878 8000 8080 8320 9600 9696 9750 9984 10100 10400 10504 12000 12120 12480 12625 12928 13000 13130 15150 15600 15756 16000 16160 16640 19200 19392 19500 19695 20200 20800 21008 24000 24240 24960 25250 25856 26000 26260 30300 31200 31512 32000 32320 32825 37875 38784 39000 39390 40400 41600 42016 48000 48480 49920 50500 52000 52520 60600 62400 63024 64640 65650 75750 77568 78000 78780 80800 83200 84032 96000 96960 98475 101000 104000 105040 121200 124800 126048 129280 131300 151500 156000 157560 161600 164125 168064 193920 196950 202000 208000 210080 242400 249600 252096 262600 303000 312000 315120 323200 328250 336128 387840 393900 404000 416000 420160 484800 492375 504192 525200 606000 624000 630240 646400 656500 787800 808000 840320 969600 984750 1008384 1050400 1212000 1248000 1260480 1313000 1575600 1616000 1680640 1939200 1969500 2100800 2424000 2520960 2626000 3151200 3232000 3939000 4201600 4848000 5041920 5252000 6302400 7878000 8403200 9696000 10504000 12604800 15756000 21008000 25209600 31512000 42016000 63024000 126048000
- Sum of all divisors σ(n): 455337792
- Sum of proper divisors (its aliquot sum) s(n): 329289792
- 126048000 is an abundant number, because the sum of its proper divisors (329289792) is greater than itself. Its abundance is 203241792
Bases of 126048000
- Binary: 1111000001101010111000000002
- Hexadecimal: 0x7835700
- Base-36: 231N9C
Squares and roots of 126048000
- 126048000 squared (1260480002) is 15888098304000000
- 126048000 cubed (1260480003) is 2002663015022592000000000
-
The
square root of 126048000 is 11227.1100466681 -
The
cube root of 126048000 is 501.3934463405
Scales and comparisons
How big is 126048000?- 126,048,000 seconds is equal to 4 years, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 126,048,000 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 126048000 cubic inches would be around 41.8 feet tall.
Recreational maths with 126048000
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