428066100
428,066,100 is an even composite number composed of seven prime numbers multiplied together.
428066100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 428066100:
22 × 33 × 52 × 7 × 11 × 29 × 71
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 29 × 71)See below for interesting mathematical facts about the number 428066100 from the Numbermatics database.
Names of 428066100
- Cardinal: 428066100 can be written as Four hundred twenty-eight million, sixty-six thousand, one hundred.
Scientific notation
- Scientific notation: 4.280661 × 108
Factors of 428066100
Divisors of 428066100
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 25 27 28 29 30 33 35 36 42 44 45 50 54 55 58 60 63 66 70 71 75 77 84 87 90 99 100 105 108 110 116 126 132 135 140 142 145 150 154 165 174 175 180 189 198 203 210 213 220 225 231 252 261 270 275 284 290 297 300 308 315 319 330 348 350 355 378 385 396 406 420 426 435 450 462 495 497 522 525 540 550 580 594 609 630 638 639 660 675 693 700 710 725 756 770 781 783 812 825 852 870 900 924 945 957 990 994 1015 1044 1050 1065 1100 1155 1188 1218 1260 1276 1278 1305 1350 1386 1420 1450 1485 1491 1540 1562 1566 1575 1595 1650 1740 1775 1827 1890 1914 1917 1925 1980 1988 2030 2059 2079 2100 2130 2175 2233 2310 2343 2436 2475 2485 2556 2610 2700 2772 2871 2900 2970 2982 3045 3124 3132 3150 3190 3195 3300 3465 3550 3654 3780 3828 3834 3850 3905 3915 4060 4118 4158 4260 4350 4466 4473 4620 4686 4725 4785 4950 4970 5075 5220 5325 5467 5481 5742 5775 5940 5964 6090 6177 6300 6380 6390 6525 6699 6930 7029 7100 7308 7425 7455 7668 7700 7810 7830 7975 8236 8316 8613 8700 8932 8946 9135 9372 9450 9570 9585 9900 9940 10150 10295 10395 10650 10934 10962 11165 11484 11550 11715 12180 12354 12425 12780 13050 13398 13419 13860 14058 14355 14413 14850 14910 15225 15620 15660 15950 15975 16401 17226 17325 17892 18270 18531 18900 19140 19170 19525 19575 20097 20300 20590 20790 21087 21300 21868 21924 22330 22365 22649 23100 23430 23925 24708 24850 26100 26796 26838 27335 27405 28116 28710 28826 29700 29820 30450 30885 31900 31950 32802 33495 34452 34650 35145 36540 37062 37275 38340 39050 39150 40194 41180 41580 42174 43065 43239 44660 44730 45298 45675 46860 47850 47925 49203 49700 51475 51975 53676 54670 54810 55593 55825 57420 57652 58575 60291 60900 61770 63900 65604 66990 67095 67947 69300 70290 71775 72065 74124 74550 78100 78300 80388 82005 84348 86130 86478 89460 90596 91350 92655 95700 95850 98406 100485 102950 103950 105435 109340 109620 111186 111650 111825 113245 117150 120582 123540 129717 133980 134190 135894 136675 137025 140580 143550 144130 147609 149100 154425 158543 164010 167475 172260 172956 175725 182700 185310 191700 196812 200970 203841 205900 207900 210870 215325 216195 222372 223300 223650 226490 234300 241164 246015 259434 268380 271788 273350 274050 277965 287100 288260 295218 301455 308850 317086 328020 334950 335475 339735 351450 360325 370620 389151 401940 407682 410025 421740 430650 432390 447300 452980 463275 475629 492030 502425 518868 527175 546700 548100 555930 566225 590436 602910 611523 617700 634172 648585 669900 670950 679470 702900 720650 738045 778302 792715 815364 820050 861300 864780 926550 951258 984060 1004850 1019205 1054350 1080975 1111860 1132450 1205820 1223046 1230075 1297170 1341900 1358940 1389825 1426887 1441300 1476090 1507275 1556604 1585430 1640100 1698675 1853100 1902516 1945755 2009700 2038410 2108700 2161950 2264900 2378145 2446092 2460150 2594340 2779650 2853774 2952180 3014550 3057615 3170860 3242925 3397350 3690225 3891510 3963575 4076820 4280661 4323900 4756290 4920300 5096025 5559300 5707548 6029100 6115230 6485850 6794700 7134435 7380450 7783020 7927150 8561322 9512580 9728775 10192050 11890725 12230460 12971700 14268870 14760900 15288075 15854300 17122644 19457550 20384100 21403305 23781450 28537740 30576150 35672175 38915100 42806610 47562900 61152300 71344350 85613220 107016525 142688700 214033050 428066100
- Sum of all divisors σ(n): 1799884800
- Sum of proper divisors (its aliquot sum) s(n): 1371818700
- 428066100 is an abundant number, because the sum of its proper divisors (1371818700) is greater than itself. Its abundance is 943752600
Bases of 428066100
- Binary: 110011000001111000101001101002
- Hexadecimal: 0x1983C534
- Base-36: 72UXX0
Squares and roots of 428066100
- 428066100 squared (4280661002) is 183240585969210000
- 428066100 cubed (4280661003) is 78439082997554444781000000
-
The
square root of 428066100 is 20689.7583359497 -
The
cube root of 428066100 is 753.6509981107
Scales and comparisons
How big is 428066100?- 428,066,100 seconds is equal to 13 years, 31 weeks, 5 days, 11 hours, 15 minutes.
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To count from 1 to 428,066,100 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 428066100 cubic inches would be around 62.8 feet tall.
Recreational maths with 428066100
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