428967630
428,967,630 is an even composite number composed of seven prime numbers multiplied together.
428967630 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428967630:
2 × 33 × 5 × 7 × 132 × 17 × 79
(2 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 17 × 79)See below for interesting mathematical facts about the number 428967630 from the Numbermatics database.
Names of 428967630
- Cardinal: 428967630 can be written as Four hundred twenty-eight million, nine hundred sixty-seven thousand, six hundred thirty.
Scientific notation
- Scientific notation: 4.2896763 × 108
Factors of 428967630
Divisors of 428967630
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 17 18 21 26 27 30 34 35 39 42 45 51 54 63 65 70 78 79 85 90 91 102 105 117 119 126 130 135 153 158 169 170 182 189 195 210 221 234 237 238 255 270 273 306 315 338 351 357 378 390 395 442 455 459 474 507 510 546 553 585 595 630 663 702 711 714 765 790 819 845 910 918 945 1014 1027 1071 1105 1106 1170 1183 1185 1190 1326 1343 1365 1422 1521 1530 1547 1638 1659 1690 1755 1785 1890 1989 2054 2133 2142 2210 2295 2366 2370 2457 2535 2686 2730 2765 2873 3042 3081 3094 3213 3315 3318 3510 3549 3555 3570 3978 4029 4095 4266 4563 4590 4641 4914 4977 5070 5135 5355 5530 5746 5915 5967 6162 6426 6630 6715 7098 7110 7189 7605 7735 8058 8190 8295 8619 9126 9243 9282 9401 9945 9954 10270 10647 10665 10710 11830 11934 12087 12285 13351 13430 13923 14365 14378 14931 15210 15405 15470 16065 16590 17238 17459 17745 18486 18802 19890 20111 20145 21294 21330 21567 22815 23205 24174 24570 24885 25857 26702 27729 27846 28203 28730 29835 29862 30810 31941 32130 34918 35490 35945 36261 40053 40222 40290 41769 43095 43134 45630 46215 46410 47005 49770 51714 52377 53235 55458 56406 59670 60333 60435 63882 64701 66755 69615 71890 72522 74655 77571 80106 83538 84609 86190 87295 92430 93457 94010 100555 104754 106470 107835 120159 120666 120870 122213 129285 129402 133510 138645 139230 141015 149310 155142 157131 159705 169218 174590 180999 181305 186914 194103 200265 201110 208845 215670 226967 240318 244426 253827 258570 261885 277290 280371 282030 301665 314262 319410 323505 360477 361998 362610 366639 387855 388206 400530 417690 423045 453934 467285 471393 507654 523770 542997 560742 600795 603330 611065 647010 680901 720954 733278 775710 785655 841113 846090 904995 934570 942786 970515 1085994 1099917 1134835 1201590 1222130 1269135 1361802 1401855 1571310 1588769 1682226 1802385 1809990 1833195 1941030 2042703 2199834 2269670 2356965 2523339 2538270 2714985 2803710 3177538 3299751 3404505 3604770 3666390 4085406 4205565 4713930 4766307 5046678 5429970 5499585 6128109 6599502 6809010 7943845 8411130 9532614 10213515 10999170 12256218 12616695 14298921 15887690 16498755 20427030 23831535 25233390 28597842 30640545 32997510 42896763 47663070 61281090 71494605 85793526 142989210 214483815 428967630
- Sum of all divisors σ(n): 1517875200
- Sum of proper divisors (its aliquot sum) s(n): 1088907570
- 428967630 is an abundant number, because the sum of its proper divisors (1088907570) is greater than itself. Its abundance is 659939940
Bases of 428967630
- Binary: 110011001000110000110110011102
- Hexadecimal: 0x199186CE
- Base-36: 73E9JI
Squares and roots of 428967630
- 428967630 squared (4289676302) is 184013227587816900
- 428967630 cubed (4289676303) is 78935718126996432466947000
-
The
square root of 428967630 is 20711.5337433035 -
The
cube root of 428967630 is 754.1797035009
Scales and comparisons
How big is 428967630?- 428,967,630 seconds is equal to 13 years, 33 weeks, 1 day, 21 hours, 40 minutes, 30 seconds.
-
To count from 1 to 428,967,630 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 428967630 cubic inches would be around 62.8 feet tall.
Recreational maths with 428967630
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