428133090
428,133,090 is an even composite number composed of seven prime numbers multiplied together.
428133090 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428133090:
2 × 3 × 5 × 72 × 112 × 29 × 83
(2 × 3 × 5 × 7 × 7 × 11 × 11 × 29 × 83)See below for interesting mathematical facts about the number 428133090 from the Numbermatics database.
Names of 428133090
- Cardinal: 428133090 can be written as Four hundred twenty-eight million, one hundred thirty-three thousand and ninety.
Scientific notation
- Scientific notation: 4.2813309 × 108
Factors of 428133090
Divisors of 428133090
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 5 6 7 10 11 14 15 21 22 29 30 33 35 42 49 55 58 66 70 77 83 87 98 105 110 121 145 147 154 165 166 174 203 210 231 242 245 249 290 294 319 330 363 385 406 415 435 462 490 498 539 581 605 609 638 726 735 770 830 847 870 913 957 1015 1078 1155 1162 1210 1218 1245 1421 1470 1595 1617 1694 1743 1815 1826 1914 2030 2233 2310 2407 2490 2541 2695 2739 2842 2905 3045 3190 3234 3486 3509 3630 4067 4235 4263 4466 4565 4785 4814 5082 5390 5478 5810 5929 6090 6391 6699 7018 7105 7221 8085 8134 8470 8526 8715 9130 9570 10043 10527 11165 11858 12035 12201 12705 12782 13398 13695 14210 14442 15631 16170 16849 17430 17545 17787 19173 20086 20335 21054 21315 22330 24070 24402 24563 25410 26477 27390 29645 30129 31262 31955 33495 33698 35090 35574 36105 38346 40670 42630 44737 46893 49126 50215 50547 52635 52954 59290 60258 61005 63910 66990 70301 72210 73689 78155 79431 84245 88935 89474 93786 95865 100430 101094 105270 117943 122010 122815 132385 134211 140602 147378 150645 156310 158862 168490 171941 177870 185339 191730 210903 223685 234465 235886 245630 252735 264770 268422 291247 301290 343882 351505 353829 368445 370678 397155 421806 447370 468930 492107 505470 515823 556017 582494 589715 671055 703010 707658 736890 794310 859705 873741 926695 984214 1031646 1054515 1112034 1179430 1297373 1342110 1456235 1476321 1719410 1747482 1769145 1853390 2038729 2109030 2460535 2579115 2594746 2780085 2912470 2952642 3538290 3892119 4077458 4368705 4921070 5158230 5560170 6116187 6486865 7381605 7784238 8737410 10193645 12232374 12973730 14271103 14763210 19460595 20387290 28542206 30580935 38921190 42813309 61161870 71355515 85626618 142711030 214066545 428133090
- Sum of all divisors σ(n): 1375496640
- Sum of proper divisors (its aliquot sum) s(n): 947363550
- 428133090 is an abundant number, because the sum of its proper divisors (947363550) is greater than itself. Its abundance is 519230460
Bases of 428133090
- Binary: 110011000010011001010111000102
- Hexadecimal: 0x1984CAE2
- Base-36: 72WDLU
Squares and roots of 428133090
- 428133090 squared (4281330902) is 183297942752948100
- 428133090 cubed (4281330903) is 78475914621462776662629000
-
The
square root of 428133090 is 20691.3771895443 -
The
cube root of 428133090 is 753.6903101445
Scales and comparisons
How big is 428133090?- 428,133,090 seconds is equal to 13 years, 31 weeks, 6 days, 5 hours, 51 minutes, 30 seconds.
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To count from 1 to 428,133,090 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 428133090 cubic inches would be around 62.8 feet tall.
Recreational maths with 428133090
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"Number 428133090 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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