428122128
428,122,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 428122128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
428122128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 428122128:
24 × 3 × 7 × 29 × 53 × 829
(2 × 2 × 2 × 2 × 3 × 7 × 29 × 53 × 829)See below for interesting mathematical facts about the number 428122128 from the Numbermatics database.
Names of 428122128
- Cardinal: 428122128 can be written as Four hundred twenty-eight million, one hundred twenty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.28122128 × 108
Factors of 428122128
Divisors of 428122128
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 53 56 58 84 87 106 112 116 159 168 174 203 212 232 318 336 348 371 406 424 464 609 636 696 742 812 829 848 1113 1218 1272 1392 1484 1537 1624 1658 2226 2436 2487 2544 2968 3074 3248 3316 4452 4611 4872 4974 5803 5936 6148 6632 8904 9222 9744 9948 10759 11606 12296 13264 17409 17808 18444 19896 21518 23212 24041 24592 32277 34818 36888 39792 43036 43937 46424 48082 64554 69636 72123 73776 86072 87874 92848 96164 129108 131811 139272 144246 168287 172144 175748 192328 258216 263622 278544 288492 307559 336574 351496 384656 504861 516432 527244 576984 615118 673148 702992 922677 1009722 1054488 1153968 1230236 1274173 1346296 1845354 2019444 2108976 2460472 2548346 2692592 3690708 3822519 4038888 4920944 5096692 7381416 7645038 8077776 8919211 10193384 14762832 15290076 17838422 20386768 26757633 30580152 35676844 53515266 61160304 71353688 107030532 142707376 214061064 428122128
- Sum of all divisors σ(n): 1333843200
- Sum of proper divisors (its aliquot sum) s(n): 905721072
- 428122128 is an abundant number, because the sum of its proper divisors (905721072) is greater than itself. Its abundance is 477598944
Bases of 428122128
- Binary: 110011000010010100000000100002
- Hexadecimal: 0x1984A010
- Base-36: 72W55C
Squares and roots of 428122128
- 428122128 squared (4281221282) is 183288556483248384
- 428122128 cubed (4281221283) is 78469886839656494510641152
-
The
square root of 428122128 is 20691.1122948961 -
The
cube root of 428122128 is 753.6838775469
Scales and comparisons
How big is 428122128?- 428,122,128 seconds is equal to 13 years, 31 weeks, 6 days, 2 hours, 48 minutes, 48 seconds.
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To count from 1 to 428,122,128 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 428122128 cubic inches would be around 62.8 feet tall.
Recreational maths with 428122128
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"Number 428122128 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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