428942640
428,942,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428942640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
428942640 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 428942640:
24 × 3 × 5 × 7 × 17 × 23 × 653
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 23 × 653)See below for interesting mathematical facts about the number 428942640 from the Numbermatics database.
Names of 428942640
- Cardinal: 428942640 can be written as Four hundred twenty-eight million, nine hundred forty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2894264 × 108
Factors of 428942640
Divisors of 428942640
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 23 24 28 30 34 35 40 42 46 48 51 56 60 68 69 70 80 84 85 92 102 105 112 115 119 120 136 138 140 161 168 170 184 204 210 230 238 240 255 272 276 280 322 336 340 345 357 368 391 408 420 460 476 483 510 552 560 595 644 653 680 690 714 782 805 816 840 920 952 966 1020 1104 1173 1190 1288 1306 1360 1380 1428 1564 1610 1680 1785 1840 1904 1932 1955 1959 2040 2346 2380 2415 2576 2612 2737 2760 2856 3128 3220 3265 3570 3864 3910 3918 4080 4571 4692 4760 4830 5224 5474 5520 5712 5865 6256 6440 6530 7140 7728 7820 7836 8211 9142 9384 9520 9660 9795 10448 10948 11101 11730 12880 13060 13685 13713 14280 15019 15640 15672 16422 18284 18768 19320 19590 21896 22202 22855 23460 26120 27370 27426 28560 30038 31280 31344 32844 33303 36568 38640 39180 41055 43792 44404 45057 45710 46920 52240 54740 54852 55505 60076 65688 66606 68565 73136 75095 77707 78360 82110 88808 90114 91420 93840 105133 109480 109704 111010 120152 131376 133212 137130 150190 155414 156720 164220 166515 177616 180228 182840 210266 218960 219408 222020 225285 233121 240304 255323 266424 274260 300380 310828 315399 328440 333030 360456 365680 388535 420532 444040 450570 466242 510646 525665 532848 548520 600760 621656 630798 656880 666060 720912 765969 777070 841064 888080 901140 932484 1021292 1051330 1097040 1165605 1201520 1243312 1261596 1276615 1332120 1531938 1554140 1576995 1682128 1787261 1802280 1864968 2042584 2102660 2331210 2523192 2553230 2664240 3063876 3108280 3153990 3574522 3604560 3729936 3829845 4085168 4205320 4662420 5046384 5106460 5361783 6127752 6216560 6307980 7149044 7659690 8410640 8936305 9324840 10212920 10723566 12255504 12615960 14298088 15319380 17872610 18649680 20425840 21447132 25231920 26808915 28596176 30638760 35745220 42894264 53617830 61277520 71490440 85788528 107235660 142980880 214471320 428942640
- Sum of all divisors σ(n): 1681606656
- Sum of proper divisors (its aliquot sum) s(n): 1252664016
- 428942640 is an abundant number, because the sum of its proper divisors (1252664016) is greater than itself. Its abundance is 823721376
Bases of 428942640
- Binary: 110011001000100100101001100002
- Hexadecimal: 0x19912530
- Base-36: 73DQ9C
Squares and roots of 428942640
- 428942640 squared (4289426402) is 183991788410169600
- 428942640 cubed (4289426403) is 78921923458979551071744000
-
The
square root of 428942640 is 20710.9304474715 -
The
cube root of 428942640 is 754.1650580161
Scales and comparisons
How big is 428942640?- 428,942,640 seconds is equal to 13 years, 33 weeks, 1 day, 14 hours, 44 minutes.
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To count from 1 to 428,942,640 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 428942640 cubic inches would be around 62.8 feet tall.
Recreational maths with 428942640
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"Number 428942640 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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