428788080
428,788,080 is an even composite number composed of six prime numbers multiplied together.
428788080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 428788080:
24 × 35 × 5 × 7 × 23 × 137
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 23 × 137)See below for interesting mathematical facts about the number 428788080 from the Numbermatics database.
Names of 428788080
- Cardinal: 428788080 can be written as Four hundred twenty-eight million, seven hundred eighty-eight thousand and eighty.
Scientific notation
- Scientific notation: 4.2878808 × 108
Factors of 428788080
Divisors of 428788080
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 35 36 40 42 45 46 48 54 56 60 63 69 70 72 80 81 84 90 92 105 108 112 115 120 126 135 137 138 140 144 161 162 168 180 184 189 207 210 216 230 240 243 252 270 274 276 280 315 322 324 336 345 360 368 378 405 411 414 420 432 460 483 486 504 540 548 552 560 567 621 630 644 648 685 690 720 756 805 810 822 828 840 920 945 959 966 972 1008 1035 1080 1096 1104 1134 1215 1233 1242 1260 1288 1296 1370 1380 1449 1512 1610 1620 1644 1656 1680 1701 1840 1863 1890 1918 1932 1944 2055 2070 2160 2192 2268 2415 2430 2466 2484 2520 2576 2740 2760 2835 2877 2898 3024 3105 3151 3220 3240 3288 3312 3402 3699 3726 3780 3836 3864 3888 4110 4140 4347 4536 4795 4830 4860 4932 4968 5040 5480 5520 5589 5670 5754 5796 6165 6210 6302 6440 6480 6576 6804 7245 7398 7452 7560 7672 7728 8220 8280 8505 8631 8694 9072 9315 9453 9590 9660 9720 9864 9936 10960 11097 11178 11340 11508 11592 12330 12420 12604 12880 13041 13608 14385 14490 14796 14904 15120 15344 15755 16440 16560 17010 17262 17388 18495 18630 18906 19180 19320 19440 19728 21735 22057 22194 22356 22680 23016 23184 24660 24840 25208 25893 26082 27216 27945 28359 28770 28980 29592 29808 31510 32880 33291 34020 34524 34776 36990 37260 37812 38360 38640 39123 43155 43470 44114 44388 44712 45360 46032 47265 49320 49680 50416 51786 52164 55485 55890 56718 57540 57960 59184 63020 65205 66171 66582 68040 69048 69552 73980 74520 75624 76720 77679 78246 85077 86310 86940 88228 88776 89424 94530 98640 103572 104328 110285 110970 111780 113436 115080 115920 126040 129465 130410 132342 133164 136080 138096 141795 147960 149040 151248 155358 156492 166455 170154 172620 173880 176456 177552 189060 195615 198513 207144 208656 220570 221940 223560 226872 230160 233037 252080 255231 258930 260820 264684 266328 283590 295920 310716 312984 330855 332910 340308 345240 347760 352912 378120 388395 391230 397026 414288 425385 441140 443880 447120 453744 466074 510462 517860 521640 529368 532656 567180 595539 621432 625968 661710 665820 680616 690480 756240 765693 776790 782460 794052 850770 882280 887760 932148 992565 1020924 1035720 1043280 1058736 1134360 1165185 1191078 1242864 1276155 1323420 1331640 1361232 1531386 1553580 1564920 1588104 1701540 1764560 1786617 1864296 1985130 2041848 2071440 2268720 2330370 2382156 2552310 2646840 2663280 2977695 3062772 3107160 3129840 3176208 3403080 3573234 3728592 3828465 3970260 4083696 4660740 4764312 5104620 5293680 5359851 5955390 6125544 6214320 6806160 7146468 7656930 7940520 8933085 9321480 9528624 10209240 10719702 11910780 12251088 14292936 15313860 15881040 17866170 18642960 20418480 21439404 23821560 26799255 28585872 30627720 35732340 42878808 47643120 53598510 61255440 71464680 85757616 107197020 142929360 214394040 428788080
- Sum of all divisors σ(n): 1793885184
- Sum of proper divisors (its aliquot sum) s(n): 1365097104
- 428788080 is an abundant number, because the sum of its proper divisors (1365097104) is greater than itself. Its abundance is 936309024
Bases of 428788080
- Binary: 110011000111011001001011100002
- Hexadecimal: 0x198EC970
- Base-36: 73AF00
Squares and roots of 428788080
- 428788080 squared (4287880802) is 183859217550086400
- 428788080 cubed (4287880803) is 78836640883603851290112000
-
The
square root of 428788080 is 20707.1987482615 -
The
cube root of 428788080 is 754.0744648975
Scales and comparisons
How big is 428788080?- 428,788,080 seconds is equal to 13 years, 32 weeks, 6 days, 19 hours, 48 minutes.
-
To count from 1 to 428,788,080 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 428788080 cubic inches would be around 62.8 feet tall.
Recreational maths with 428788080
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