428668240
428,668,240 is an even composite number composed of seven prime numbers multiplied together.
428668240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 428668240:
24 × 5 × 7 × 11 × 13 × 53 × 101
(2 × 2 × 2 × 2 × 5 × 7 × 11 × 13 × 53 × 101)See below for interesting mathematical facts about the number 428668240 from the Numbermatics database.
Names of 428668240
- Cardinal: 428668240 can be written as Four hundred twenty-eight million, six hundred sixty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.2866824 × 108
Factors of 428668240
Divisors of 428668240
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 53 55 56 65 70 77 80 88 91 101 104 106 110 112 130 140 143 154 176 182 202 208 212 220 260 265 280 286 308 364 371 385 404 424 440 455 505 520 530 560 572 583 616 689 707 715 728 742 770 808 848 880 910 1001 1010 1040 1060 1111 1144 1166 1232 1313 1378 1414 1430 1456 1484 1540 1616 1820 1855 2002 2020 2120 2222 2288 2332 2626 2756 2828 2860 2915 2968 3080 3445 3535 3640 3710 4004 4040 4081 4240 4444 4664 4823 5005 5252 5353 5512 5555 5656 5720 5830 5936 6160 6565 6890 7070 7280 7420 7579 7777 8008 8080 8162 8888 9191 9328 9646 10010 10504 10706 11024 11110 11312 11440 11660 13130 13780 14140 14443 14840 15158 15554 16016 16324 17776 18382 19292 20020 20405 21008 21412 22220 23320 24115 26260 26765 27560 28280 28886 29680 30316 31108 32648 36764 37471 37895 38584 38885 40040 40810 42824 44440 45955 46640 48230 52520 53053 53530 55120 56560 57772 58883 60632 62216 65296 69589 72215 73528 74942 75790 77168 77770 80080 81620 85648 88880 91910 96460 101101 105040 106106 107060 115544 117766 121264 124432 139178 144430 147056 149884 151580 155540 163240 183820 187355 192920 202202 212212 214120 231088 235532 265265 278356 288860 294415 299768 303160 311080 326480 347945 367640 374710 385840 404404 412181 424424 428240 471064 487123 505505 530530 556712 577720 588830 599536 606320 622160 695890 735280 749420 765479 808808 824362 848848 942128 974246 1011010 1061060 1113424 1155440 1177660 1391780 1498840 1530958 1617616 1648724 1948492 2022020 2060905 2122120 2355320 2435615 2783560 2997680 3061916 3297448 3827395 3896984 4044040 4121810 4244240 4710640 4871230 5358353 5567120 6123832 6594896 7654790 7793968 8088080 8243620 9742460 10716706 12247664 15309580 16487240 19484920 21433412 26791765 30619160 32974480 38969840 42866824 53583530 61238320 85733648 107167060 214334120 428668240
- Sum of all divisors σ(n): 1376911872
- Sum of proper divisors (its aliquot sum) s(n): 948243632
- 428668240 is an abundant number, because the sum of its proper divisors (948243632) is greater than itself. Its abundance is 519575392
Bases of 428668240
- Binary: 110011000110011110101010100002
- Hexadecimal: 0x198CF550
- Base-36: 737UJ4
Squares and roots of 428668240
- 428668240 squared (4286682402) is 183756459984697600
- 428668240 cubed (4286682403) is 78770558290270747124224000
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The
square root of 428668240 is 20704.3048663799 -
The
cube root of 428668240 is 754.0042074219
Scales and comparisons
How big is 428668240?- 428,668,240 seconds is equal to 13 years, 32 weeks, 5 days, 10 hours, 30 minutes, 40 seconds.
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To count from 1 to 428,668,240 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 428668240 cubic inches would be around 62.8 feet tall.
Recreational maths with 428668240
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"Number 428668240 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 428668240 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/428668240/
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