428940800
428,940,800 is an even composite number composed of five prime numbers multiplied together.
428940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428940800:
29 × 52 × 23 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 31 × 47)See below for interesting mathematical facts about the number 428940800 from the Numbermatics database.
Names of 428940800
- Cardinal: 428940800 can be written as Four hundred twenty-eight million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.289408 × 108
Factors of 428940800
Divisors of 428940800
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 47 50 62 64 80 92 94 100 115 124 128 155 160 184 188 200 230 235 248 256 310 320 368 376 400 460 470 496 512 575 620 640 713 736 752 775 800 920 940 992 1081 1150 1175 1240 1280 1426 1457 1472 1504 1550 1600 1840 1880 1984 2162 2300 2350 2480 2560 2852 2914 2944 3008 3100 3200 3565 3680 3760 3968 4324 4600 4700 4960 5405 5704 5828 5888 6016 6200 6400 7130 7285 7360 7520 7936 8648 9200 9400 9920 10810 11408 11656 11776 12032 12400 12800 14260 14570 14720 15040 15872 17296 17825 18400 18800 19840 21620 22816 23312 24064 24800 27025 28520 29140 29440 30080 33511 34592 35650 36425 36800 37600 39680 43240 45632 46624 49600 54050 57040 58280 58880 60160 67022 69184 71300 72850 73600 75200 79360 86480 91264 93248 99200 108100 114080 116560 120320 134044 138368 142600 145700 147200 150400 167555 172960 182528 186496 198400 216200 228160 233120 268088 276736 285200 291400 294400 300800 335110 345920 365056 372992 396800 432400 456320 466240 536176 553472 570400 582800 601600 670220 691840 745984 837775 864800 912640 932480 1072352 1140800 1165600 1340440 1383680 1675550 1729600 1825280 1864960 2144704 2281600 2331200 2680880 2767360 3351100 3459200 3729920 4289408 4563200 4662400 5361760 6702200 6918400 8578816 9126400 9324800 10723520 13404400 13836800 17157632 18649600 21447040 26808800 42894080 53617600 85788160 107235200 214470400 428940800
- Sum of all divisors σ(n): 1169068032
- Sum of proper divisors (its aliquot sum) s(n): 740127232
- 428940800 is an abundant number, because the sum of its proper divisors (740127232) is greater than itself. Its abundance is 311186432
Bases of 428940800
- Binary: 110011001000100011110000000002
- Hexadecimal: 0x19911E00
- Base-36: 73DOU8
Squares and roots of 428940800
- 428940800 squared (4289408002) is 183990209904640000
- 428940800 cubed (4289408003) is 78920907828664205312000000
-
The
square root of 428940800 is 20710.8860264355 -
The
cube root of 428940800 is 754.1639796545
Scales and comparisons
How big is 428940800?- 428,940,800 seconds is equal to 13 years, 33 weeks, 1 day, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,940,800 would take you about twenty 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 428940800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428940800
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