450126468
450,126,468 is an even composite number composed of six prime numbers multiplied together.
450126468 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 450126468:
22 × 32 × 11 × 23 × 73 × 677
(2 × 2 × 3 × 3 × 11 × 23 × 73 × 677)See below for interesting mathematical facts about the number 450126468 from the Numbermatics database.
Names of 450126468
- Cardinal: 450126468 can be written as Four hundred fifty million, one hundred twenty-six thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 4.50126468 × 108
Factors of 450126468
Divisors of 450126468
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 73 92 99 132 138 146 198 207 219 253 276 292 396 414 438 506 657 677 759 803 828 876 1012 1314 1354 1518 1606 1679 2031 2277 2409 2628 2708 3036 3212 3358 4062 4554 4818 5037 6093 6716 7227 7447 8124 9108 9636 10074 12186 14454 14894 15111 15571 18469 20148 22341 24372 28908 29788 30222 31142 36938 44682 46713 49421 55407 60444 62284 67023 73876 89364 93426 98842 110814 134046 140139 148263 166221 171281 186852 197684 221628 268092 280278 296526 332442 342562 444789 513843 543631 560556 593052 664884 685124 889578 1027686 1087262 1136683 1541529 1630893 1779156 2055372 2174524 2273366 3083058 3261786 3410049 4546732 4892679 6166116 6523572 6820098 9785358 10230147 12503513 13640196 19570716 20460294 25007026 37510539 40920588 50014052 75021078 112531617 150042156 225063234 450126468
- Sum of all divisors σ(n): 1314907776
- Sum of proper divisors (its aliquot sum) s(n): 864781308
- 450126468 is an abundant number, because the sum of its proper divisors (864781308) is greater than itself. Its abundance is 414654840
Bases of 450126468
- Binary: 110101101010001100010100001002
- Hexadecimal: 0x1AD46284
- Base-36: 7FZRT0
Squares and roots of 450126468
- 450126468 squared (4501264682) is 202613837194155024
- 450126468 cubed (4501264683) is 91201850904132031197575232
-
The
square root of 450126468 is 21216.1841055359 -
The
cube root of 450126468 is 766.3812135371
Scales and comparisons
How big is 450126468?- 450,126,468 seconds is equal to 14 years, 16 weeks, 1 day, 19 hours, 7 minutes, 48 seconds.
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To count from 1 to 450,126,468 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 450126468 cubic inches would be around 63.9 feet tall.
Recreational maths with 450126468
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