428068800
428,068,800 is an even composite number composed of four prime numbers multiplied together.
428068800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred ninety-four divisors.
Prime factorization of 428068800:
26 × 36 × 52 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 367)See below for interesting mathematical facts about the number 428068800 from the Numbermatics database.
Names of 428068800
- Cardinal: 428068800 can be written as Four hundred twenty-eight million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.280688 × 108
Factors of 428068800
Divisors of 428068800
- Number of divisors d(n): 294
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 367 400 405 432 450 480 486 540 576 600 648 675 720 729 734 800 810 864 900 960 972 1080 1101 1200 1215 1296 1350 1440 1458 1468 1600 1620 1728 1800 1835 1944 2025 2160 2202 2400 2430 2592 2700 2880 2916 2936 3240 3303 3600 3645 3670 3888 4050 4320 4404 4800 4860 5184 5400 5505 5832 5872 6075 6480 6606 7200 7290 7340 7776 8100 8640 8808 9175 9720 9909 10800 11010 11664 11744 12150 12960 13212 14400 14580 14680 15552 16200 16515 17616 18225 18350 19440 19818 21600 22020 23328 23488 24300 25920 26424 27525 29160 29360 29727 32400 33030 35232 36450 36700 38880 39636 43200 44040 46656 48600 49545 52848 55050 58320 58720 59454 64800 66060 70464 72900 73400 77760 79272 82575 88080 89181 97200 99090 105696 110100 116640 117440 118908 129600 132120 145800 146800 148635 158544 165150 176160 178362 194400 198180 211392 220200 233280 237816 247725 264240 267543 291600 293600 297270 317088 330300 352320 356724 388800 396360 440400 445905 475632 495450 528480 535086 583200 587200 594540 634176 660600 713448 743175 792720 880800 891810 951264 990900 1056960 1070172 1166400 1189080 1321200 1337715 1426896 1486350 1585440 1761600 1783620 1902528 1981800 2140344 2229525 2378160 2642400 2675430 2853792 2972700 3170880 3567240 3963600 4280688 4459050 4756320 5284800 5350860 5707584 5945400 6688575 7134480 7927200 8561376 8918100 9512640 10701720 11890800 13377150 14268960 15854400 17122752 17836200 21403440 23781600 26754300 28537920 35672400 42806880 47563200 53508600 71344800 85613760 107017200 142689600 214034400 428068800
- Sum of all divisors σ(n): 1583555888
- Sum of proper divisors (its aliquot sum) s(n): 1155487088
- 428068800 is an abundant number, because the sum of its proper divisors (1155487088) is greater than itself. Its abundance is 727418288
Bases of 428068800
- Binary: 110011000001111001111110000002
- Hexadecimal: 0x1983CFC0
- Base-36: 72V000
Squares and roots of 428068800
- 428068800 squared (4280688002) is 183242897533440000
- 428068800 cubed (4280688003) is 78440567255662620672000000
-
The
square root of 428068800 is 20689.8235855213 -
The
cube root of 428068800 is 753.6525826427
Scales and comparisons
How big is 428068800?- 428,068,800 seconds is equal to 13 years, 31 weeks, 5 days, 12 hours.
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To count from 1 to 428,068,800 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 428068800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428068800
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