428371020
428,371,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428371020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
428371020 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 428371020:
22 × 32 × 5 × 7 × 11 × 31 × 997
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 31 × 997)See below for interesting mathematical facts about the number 428371020 from the Numbermatics database.
Names of 428371020
- Cardinal: 428371020 can be written as Four hundred twenty-eight million, three hundred seventy-one thousand and twenty.
Scientific notation
- Scientific notation: 4.2837102 × 108
Factors of 428371020
Divisors of 428371020
- Number of divisors d(n): 288
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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 28 30 31 33 35 36 42 44 45 55 60 62 63 66 70 77 84 90 93 99 105 110 124 126 132 140 154 155 165 180 186 198 210 217 220 231 252 279 308 310 315 330 341 372 385 396 420 434 462 465 495 558 620 630 651 660 682 693 770 868 924 930 990 997 1023 1085 1116 1155 1260 1302 1364 1386 1395 1540 1705 1860 1953 1980 1994 2046 2170 2310 2387 2604 2772 2790 2991 3069 3255 3410 3465 3906 3988 4092 4340 4620 4774 4985 5115 5580 5982 6138 6510 6820 6930 6979 7161 7812 8973 9548 9765 9970 10230 10967 11935 11964 12276 13020 13860 13958 14322 14955 15345 17946 19530 19940 20460 20937 21483 21934 23870 27916 28644 29910 30690 30907 32901 34895 35805 35892 39060 41874 42966 43868 44865 47740 54835 59820 61380 61814 62811 65802 69790 71610 76769 83748 85932 89730 92721 98703 104685 107415 109670 123628 125622 131604 139580 143220 153538 154535 164505 179460 185442 197406 209370 214830 216349 219340 230307 251244 278163 307076 309070 314055 329010 339977 370884 383845 394812 418740 429660 432698 460614 463605 493515 556326 618140 628110 649047 658020 679954 690921 767690 865396 921228 927210 987030 1019931 1081745 1112652 1151535 1256220 1298094 1359908 1381842 1390815 1535380 1699885 1854420 1947141 1974060 2039862 2163490 2303070 2379839 2596188 2763684 2781630 3059793 3245235 3399770 3454605 3894282 4079724 4326980 4606140 4759678 5099655 5563260 6119586 6490470 6799540 6909210 7139517 7788564 9519356 9735705 10199310 11899195 12239172 12980940 13818420 14279034 15298965 19471410 20398620 21418551 23798390 28558068 30597930 35697585 38942820 42837102 47596780 61195860 71395170 85674204 107092755 142790340 214185510 428371020
- Sum of all divisors σ(n): 1673957376
- Sum of proper divisors (its aliquot sum) s(n): 1245586356
- 428371020 is an abundant number, because the sum of its proper divisors (1245586356) is greater than itself. Its abundance is 817215336
Bases of 428371020
- Binary: 110011000100001101100010011002
- Hexadecimal: 0x19886C4C
- Base-36: 731H70
Squares and roots of 428371020
- 428371020 squared (4283710202) is 183501730775840400
- 428371020 cubed (4283710203) is 78606823584212143505208000
-
The
square root of 428371020 is 20697.1258874269 -
The
cube root of 428371020 is 753.8299025053
Scales and comparisons
How big is 428371020?- 428,371,020 seconds is equal to 13 years, 32 weeks, 1 day, 23 hours, 57 minutes.
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To count from 1 to 428,371,020 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 428371020 cubic inches would be around 62.8 feet tall.
Recreational maths with 428371020
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