428129964
428,129,964 is an even composite number composed of six prime numbers multiplied together.
428129964 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428129964:
22 × 32 × 19 × 31 × 61 × 331
(2 × 2 × 3 × 3 × 19 × 31 × 61 × 331)See below for interesting mathematical facts about the number 428129964 from the Numbermatics database.
Names of 428129964
- Cardinal: 428129964 can be written as Four hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 4.28129964 × 108
Factors of 428129964
Divisors of 428129964
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 18 19 31 36 38 57 61 62 76 93 114 122 124 171 183 186 228 244 279 331 342 366 372 549 558 589 662 684 732 993 1098 1116 1159 1178 1324 1767 1891 1986 2196 2318 2356 2979 3477 3534 3782 3972 4636 5301 5673 5958 6289 6954 7068 7564 10261 10431 10602 11346 11916 12578 13908 17019 18867 20191 20522 20862 21204 22692 25156 30783 34038 35929 37734 40382 41044 41724 56601 60573 61566 68076 71858 75468 80764 92349 107787 113202 121146 123132 143716 181719 184698 194959 215574 226404 242292 323361 363438 369396 383629 389918 431148 584877 625921 646722 726876 767258 779836 1150887 1169754 1251842 1293444 1534516 1754631 1877763 2301774 2339508 2503684 3452661 3509262 3755526 4603548 5633289 6905322 7018524 7511052 11266578 11892499 13810644 22533156 23784998 35677497 47569996 71354994 107032491 142709988 214064982 428129964
- Sum of all divisors σ(n): 1198812160
- Sum of proper divisors (its aliquot sum) s(n): 770682196
- 428129964 is an abundant number, because the sum of its proper divisors (770682196) is greater than itself. Its abundance is 342552232
Bases of 428129964
- Binary: 110011000010010111110101011002
- Hexadecimal: 0x1984BEAC
- Base-36: 72WB70
Squares and roots of 428129964
- 428129964 squared (4281299642) is 183295266074641296
- 428129964 cubed (4281299643) is 78474195665906599369393344
-
The
square root of 428129964 is 20691.3016506937 -
The
cube root of 428129964 is 753.6884757915
Scales and comparisons
How big is 428129964?- 428,129,964 seconds is equal to 13 years, 31 weeks, 6 days, 4 hours, 59 minutes, 24 seconds.
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To count from 1 to 428,129,964 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 428129964 cubic inches would be around 62.8 feet tall.
Recreational maths with 428129964
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