450159138
450,159,138 is an even composite number composed of six prime numbers multiplied together.
450159138 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 450159138:
2 × 32 × 11 × 13 × 47 × 612
(2 × 3 × 3 × 11 × 13 × 47 × 61 × 61)See below for interesting mathematical facts about the number 450159138 from the Numbermatics database.
Names of 450159138
- Cardinal: 450159138 can be written as Four hundred fifty million, one hundred fifty-nine thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 4.50159138 × 108
Factors of 450159138
Divisors of 450159138
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 9 11 13 18 22 26 33 39 47 61 66 78 94 99 117 122 141 143 183 198 234 282 286 366 423 429 517 549 611 671 793 846 858 1034 1098 1222 1287 1342 1551 1586 1833 2013 2379 2574 2867 3102 3666 3721 4026 4653 4758 5499 5734 6039 6721 7137 7442 8601 8723 9306 10998 11163 12078 13442 14274 17202 17446 20163 22326 25803 26169 31537 33489 37271 40326 40931 48373 51606 52338 60489 63074 66978 74542 78507 81862 94611 96746 111813 120978 122793 145119 157014 174887 189222 223626 245586 283833 290238 335439 349774 368379 409981 435357 524661 532103 567666 670878 736758 819962 870714 1049322 1064206 1229943 1573983 1596309 1923757 2273531 2459886 3147966 3192618 3689829 3847514 4547062 4788927 5771271 6820593 7379658 9577854 11542542 13641186 17313813 20461779 25008841 34627626 40923558 50017682 75026523 150053046 225079569 450159138
- Sum of all divisors σ(n): 1189738368
- Sum of proper divisors (its aliquot sum) s(n): 739579230
- 450159138 is an abundant number, because the sum of its proper divisors (739579230) is greater than itself. Its abundance is 289420092
Bases of 450159138
- Binary: 110101101010011100010001000102
- Hexadecimal: 0x1AD4E222
- Base-36: 7G0H0I
Squares and roots of 450159138
- 450159138 squared (4501591382) is 202643249524903044
- 450159138 cubed (4501591383) is 91221710527649263820616072
-
The
square root of 450159138 is 21216.9540226679 -
The
cube root of 450159138 is 766.3997543031
Scales and comparisons
How big is 450159138?- 450,159,138 seconds is equal to 14 years, 16 weeks, 2 days, 4 hours, 12 minutes, 18 seconds.
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To count from 1 to 450,159,138 would take you about twenty-one 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 450159138 cubic inches would be around 63.9 feet tall.
Recreational maths with 450159138
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