428936970
428,936,970 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428936970 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 256 divisors.
428936970 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 428936970:
2 × 3 × 5 × 7 × 11 × 19 × 29 × 337
See below for interesting mathematical facts about the number 428936970 from the Numbermatics database.
Names of 428936970
- Cardinal: 428936970 can be written as Four hundred twenty-eight million, nine hundred thirty-six thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 4.2893697 × 108
Factors of 428936970
Divisors of 428936970
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 5 6 7 10 11 14 15 19 21 22 29 30 33 35 38 42 55 57 58 66 70 77 87 95 105 110 114 133 145 154 165 174 190 203 209 210 231 266 285 290 319 330 337 385 399 406 418 435 462 551 570 609 627 638 665 674 770 798 870 957 1011 1015 1045 1102 1155 1218 1254 1330 1463 1595 1653 1685 1914 1995 2022 2030 2090 2233 2310 2359 2755 2926 3045 3135 3190 3306 3370 3707 3857 3990 4389 4466 4718 4785 5055 5510 6061 6090 6270 6403 6699 7077 7315 7414 7714 8265 8778 9570 9773 10110 11121 11165 11571 11795 12122 12806 13398 14154 14630 16530 18183 18535 19209 19285 19546 21945 22242 22330 23142 23590 25949 29319 30305 32015 33495 35385 36366 37070 38418 38570 42427 43890 44821 48865 51898 55605 57855 58638 60610 64030 66990 68411 70433 70770 77847 84854 89642 90915 96045 97730 107503 111210 115710 127281 129745 134463 136822 140866 146595 155694 181830 185687 192090 205233 211299 212135 215006 224105 254562 259490 268926 293190 322509 342055 352165 371374 389235 410466 422598 424270 448210 493031 537515 557061 636405 645018 672315 684110 704330 752521 778470 928435 986062 1026165 1056495 1075030 1114122 1272810 1299809 1344630 1479093 1505042 1612545 1856870 2042557 2052330 2112990 2257563 2465155 2599618 2785305 2958186 3225090 3762605 3899427 4085114 4515126 4930310 5570610 6127671 6499045 7395465 7525210 7798854 10212785 11287815 12255342 12998090 14297899 14790930 19497135 20425570 22575630 28595798 30638355 38994270 42893697 61276710 71489495 85787394 142978990 214468485 428936970
- Sum of all divisors σ(n): 1401753600
- Sum of proper divisors (its aliquot sum) s(n): 972816630
- 428936970 is an abundant number, because the sum of its proper divisors (972816630) is greater than itself. Its abundance is 543879660
Bases of 428936970
- Binary: 110011001000100001111000010102
- Hexadecimal: 0x19910F0A
- Base-36: 73DLVU
Squares and roots of 428936970
- 428936970 squared (4289369702) is 183986924232780900
- 428936970 cubed (4289369703) is 78918793800028613919873000
-
The
square root of 428936970 is 20710.7935627779 -
The
cube root of 428936970 is 754.1617350117
Scales and comparisons
How big is 428936970?- 428,936,970 seconds is equal to 13 years, 33 weeks, 1 day, 13 hours, 9 minutes, 30 seconds.
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To count from 1 to 428,936,970 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 428936970 cubic inches would be around 62.8 feet tall.
Recreational maths with 428936970
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