628428120
628,428,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 628428120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
628428120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 628428120:
23 × 3 × 5 × 17 × 107 × 2879
(2 × 2 × 2 × 3 × 5 × 17 × 107 × 2879)See below for interesting mathematical facts about the number 628428120 from the Numbermatics database.
Names of 628428120
- Cardinal: 628428120 can be written as Six hundred twenty-eight million, four hundred twenty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.2842812 × 108
Factors of 628428120
Divisors of 628428120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 321 340 408 428 510 535 642 680 856 1020 1070 1284 1605 1819 2040 2140 2568 2879 3210 3638 4280 5457 5758 6420 7276 8637 9095 10914 11516 12840 14395 14552 17274 18190 21828 23032 27285 28790 34548 36380 43185 43656 48943 54570 57580 69096 72760 86370 97886 109140 115160 146829 172740 195772 218280 244715 293658 308053 345480 391544 489430 587316 616106 734145 924159 978860 1174632 1232212 1468290 1540265 1848318 1957720 2464424 2936580 3080530 3696636 4620795 5236901 5873160 6161060 7393272 9241590 10473802 12322120 15710703 18483180 20947604 26184505 31421406 36966360 41895208 52369010 62842812 78553515 104738020 125685624 157107030 209476040 314214060 628428120
- Sum of all divisors σ(n): 2015539200
- Sum of proper divisors (its aliquot sum) s(n): 1387111080
- 628428120 is an abundant number, because the sum of its proper divisors (1387111080) is greater than itself. Its abundance is 758682960
Bases of 628428120
- Binary: 1001010111010100001101010110002
- Hexadecimal: 0x25750D58
- Base-36: AE5E8O
Squares and roots of 628428120
- 628428120 squared (6284281202) is 394921902006734400
- 628428120 cubed (6284281203) is 248180028424916326331328000
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The
square root of 628428120 is 25068.4686409043 -
The
cube root of 628428120 is 856.5483246991
Scales and comparisons
How big is 628428120?- 628,428,120 seconds is equal to 19 years, 51 weeks, 11 hours, 22 minutes.
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To count from 1 to 628,428,120 would take you about twenty-nine 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 628428120 cubic inches would be around 71.4 feet tall.
Recreational maths with 628428120
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