428688480
428,688,480 is an even composite number composed of five prime numbers multiplied together.
428688480 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 428688480:
25 × 3 × 5 × 114 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 11 × 61)See below for interesting mathematical facts about the number 428688480 from the Numbermatics database.
Names of 428688480
- Cardinal: 428688480 can be written as Four hundred twenty-eight million, six hundred eighty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2868848 × 108
Factors of 428688480
Divisors of 428688480
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 61 66 80 88 96 110 120 121 122 132 160 165 176 183 220 240 242 244 264 305 330 352 363 366 440 480 484 488 528 605 610 660 671 726 732 880 915 968 976 1056 1210 1220 1320 1331 1342 1452 1464 1760 1815 1830 1936 1952 2013 2420 2440 2640 2662 2684 2904 2928 3355 3630 3660 3872 3993 4026 4840 4880 5280 5324 5368 5808 5856 6655 6710 7260 7320 7381 7986 8052 9680 9760 10065 10648 10736 11616 13310 13420 14520 14640 14641 14762 15972 16104 19360 19965 20130 21296 21472 22143 26620 26840 29040 29280 29282 29524 31944 32208 36905 39930 40260 42592 43923 44286 53240 53680 58080 58564 59048 63888 64416 73205 73810 79860 80520 81191 87846 88572 106480 107360 110715 117128 118096 127776 146410 147620 159720 161040 162382 175692 177144 212960 219615 221430 234256 236192 243573 292820 295240 319440 322080 324764 351384 354288 405955 439230 442860 468512 487146 585640 590480 638880 649528 702768 708576 811910 878460 885720 893101 974292 1171280 1180960 1217865 1299056 1405536 1623820 1756920 1771440 1786202 1948584 2342560 2435730 2598112 2679303 3247640 3513840 3542880 3572404 3897168 4465505 4871460 5358606 6495280 7027680 7144808 7794336 8931010 9742920 10717212 12990560 13396515 14289616 17862020 19485840 21434424 26793030 28579232 35724040 38971680 42868848 53586060 71448080 85737696 107172120 142896160 214344240 428688480
- Sum of all divisors σ(n): 1509747120
- Sum of proper divisors (its aliquot sum) s(n): 1081058640
- 428688480 is an abundant number, because the sum of its proper divisors (1081058640) is greater than itself. Its abundance is 652370160
Bases of 428688480
- Binary: 110011000110101000100011000002
- Hexadecimal: 0x198D4460
- Base-36: 738A5C
Squares and roots of 428688480
- 428688480 squared (4286884802) is 183773812884710400
- 428688480 cubed (4286884803) is 78781716509350916616192000
-
The
square root of 428688480 is 20704.7936478487 -
The
cube root of 428688480 is 754.0160742563
Scales and comparisons
How big is 428688480?- 428,688,480 seconds is equal to 13 years, 32 weeks, 5 days, 16 hours, 8 minutes.
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To count from 1 to 428,688,480 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 428688480 cubic inches would be around 62.8 feet tall.
Recreational maths with 428688480
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