420404985
420,404,985 is an odd composite number composed of seven prime numbers multiplied together.
420404985 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 420404985:
34 × 5 × 7 × 11 × 13 × 17 × 61
(3 × 3 × 3 × 3 × 5 × 7 × 11 × 13 × 17 × 61)See below for interesting mathematical facts about the number 420404985 from the Numbermatics database.
Names of 420404985
- Cardinal: 420404985 can be written as Four hundred twenty million, four hundred four thousand, nine hundred eighty-five.
Scientific notation
- Scientific notation: 4.20404985 × 108
Factors of 420404985
Divisors of 420404985
- Number of divisors d(n): 320
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Complete list of divisors:
1 3 5 7 9 11 13 15 17 21 27 33 35 39 45 51 55 61 63 65 77 81 85 91 99 105 117 119 135 143 153 165 183 187 189 195 221 231 255 273 297 305 315 351 357 385 405 427 429 455 459 495 549 561 567 585 595 663 671 693 715 765 793 819 891 915 935 945 1001 1037 1053 1071 1105 1155 1281 1287 1309 1365 1377 1485 1547 1647 1683 1755 1785 1989 2013 2079 2135 2145 2295 2379 2431 2457 2745 2805 2835 3003 3111 3213 3315 3355 3465 3843 3861 3927 3965 4095 4455 4641 4697 4941 5005 5049 5185 5265 5355 5551 5967 6039 6237 6405 6435 6545 6885 7137 7259 7293 7371 7735 8235 8415 8723 9009 9333 9639 9945 10065 10395 11407 11529 11583 11781 11895 12155 12285 13481 13923 14091 15015 15147 15555 16065 16653 17017 17901 18117 19215 19305 19635 21411 21777 21879 23205 23485 24705 25245 26169 27027 27755 27999 29835 30195 31185 34221 34587 35343 35685 36295 36465 36855 40443 41769 42273 43615 45045 46665 48195 49959 51051 54351 57035 57645 57915 58905 61061 64233 65331 65637 67405 69615 70455 75735 78507 79849 81081 83265 83997 85085 89505 90585 94367 102663 106029 107055 108885 109395 121329 125307 126819 130845 135135 139995 148291 149877 153153 171105 172935 176715 183183 195993 196911 202215 208845 211365 235521 239547 249795 255255 271755 283101 305305 307989 321165 326655 328185 363987 380457 392535 399245 405405 419985 444873 449631 459459 471835 513315 530145 549549 587979 606645 626535 634095 706563 718641 741455 749385 765765 849303 915915 923967 979965 984555 1038037 1091961 1177605 1197735 1334619 1378377 1415505 1539945 1648647 1819935 1902285 2155923 2224365 2248155 2297295 2547909 2747745 2939895 3114111 3532815 3593205 4003857 4246515 4619835 4945941 5190185 5459805 6467769 6673095 6891885 7643727 8243235 9342333 10779615 12011571 12739545 15570555 20019285 24729705 28026999 32338845 38218635 46711665 60057855 84080997 140134995 420404985
- Sum of all divisors σ(n): 1088930304
- Sum of proper divisors (its aliquot sum) s(n): 668525319
- 420404985 is an abundant number, because the sum of its proper divisors (668525319) is greater than itself. Its abundance is 248120334
Bases of 420404985
- Binary: 110010000111011011110111110012
- Hexadecimal: 0x190EDEF9
- Base-36: 6YAQK9
Squares and roots of 420404985
- 420404985 squared (4204049852) is 176740351412850225
- 420404985 cubed (4204049853) is 74302524784614027648371625
-
The
square root of 420404985 is 20503.7797734955 -
The
cube root of 420404985 is 749.1278662367
Scales and comparisons
How big is 420404985?- 420,404,985 seconds is equal to 13 years, 19 weeks, 19 hours, 9 minutes, 45 seconds.
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To count from 1 to 420,404,985 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 420404985 cubic inches would be around 62.4 feet tall.
Recreational maths with 420404985
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