428513085
428,513,085 is an odd composite number composed of six prime numbers multiplied together.
428513085 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428513085:
34 × 5 × 72 × 11 × 13 × 151
(3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 13 × 151)See below for interesting mathematical facts about the number 428513085 from the Numbermatics database.
Names of 428513085
- Cardinal: 428513085 can be written as Four hundred twenty-eight million, five hundred thirteen thousand and eighty-five.
Scientific notation
- Scientific notation: 4.28513085 × 108
Factors of 428513085
Divisors of 428513085
- Number of divisors d(n): 240
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Complete list of divisors:
1 3 5 7 9 11 13 15 21 27 33 35 39 45 49 55 63 65 77 81 91 99 105 117 135 143 147 151 165 189 195 231 245 273 297 315 351 385 405 429 441 453 455 495 539 567 585 637 693 715 735 755 819 891 945 1001 1053 1057 1155 1287 1323 1359 1365 1485 1617 1661 1755 1911 1963 2079 2145 2205 2265 2457 2695 2835 3003 3171 3185 3465 3861 3969 4077 4095 4455 4851 4983 5005 5265 5285 5733 5889 6237 6435 6615 6795 7007 7371 7399 8085 8305 9009 9513 9555 9815 10395 11583 11627 12231 12285 13741 14553 14949 15015 15855 17199 17667 19305 19845 20385 21021 21593 22197 24255 24915 27027 28539 28665 29445 31185 34881 35035 36855 36995 41223 43659 44847 45045 47565 51597 53001 57915 58135 61155 63063 64779 66591 68705 72765 74745 81081 81389 85617 85995 88335 96187 104643 105105 107965 110985 123669 134541 135135 142695 151151 159003 174405 189189 194337 199773 206115 218295 224235 244167 257985 265005 288561 313929 315315 323895 332955 371007 405405 406945 428085 453453 480935 523215 567567 583011 599319 618345 672705 732501 755755 795015 865683 941787 945945 971685 998865 1058057 1113021 1220835 1360359 1442805 1569645 1749033 1855035 2197503 2267265 2597049 2837835 2915055 2996595 3174171 3662505 4081077 4328415 4708935 5290285 5565105 6592509 6801795 7791147 8745165 9522513 10987515 12243231 12985245 15870855 20405385 28567539 32962545 38955735 47612565 61216155 85702617 142837695 428513085
- Sum of all divisors σ(n): 1056730752
- Sum of proper divisors (its aliquot sum) s(n): 628217667
- 428513085 is an abundant number, because the sum of its proper divisors (628217667) is greater than itself. Its abundance is 199704582
Bases of 428513085
- Binary: 110011000101010010111001111012
- Hexadecimal: 0x198A973D
- Base-36: 734IT9
Squares and roots of 428513085
- 428513085 squared (4285130852) is 183623464016217225
- 428513085 cubed (4285130853) is 78685057043975733114889125
-
The
square root of 428513085 is 20700.5576011855 -
The
cube root of 428513085 is 753.9132266983
Scales and comparisons
How big is 428513085?- 428,513,085 seconds is equal to 13 years, 32 weeks, 3 days, 15 hours, 24 minutes, 45 seconds.
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To count from 1 to 428,513,085 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 428513085 cubic inches would be around 62.8 feet tall.
Recreational maths with 428513085
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"Number 428513085 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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