464428224
464,428,224 is an even composite number composed of four prime numbers multiplied together.
464428224 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 464428224:
26 × 32 × 133 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 367)See below for interesting mathematical facts about the number 464428224 from the Numbermatics database.
Names of 464428224
- Cardinal: 464428224 can be written as Four hundred sixty-four million, four hundred twenty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 4.64428224 × 108
Factors of 464428224
Divisors of 464428224
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 367 416 468 507 576 624 676 734 832 936 1014 1101 1248 1352 1468 1521 1872 2028 2197 2202 2496 2704 2936 3042 3303 3744 4056 4394 4404 4771 5408 5872 6084 6591 6606 7488 8112 8788 8808 9542 10816 11744 12168 13182 13212 14313 16224 17576 17616 19084 19773 23488 24336 26364 26424 28626 32448 35152 35232 38168 39546 42939 48672 52728 52848 57252 62023 70304 70464 76336 79092 85878 97344 105456 105696 114504 124046 140608 152672 158184 171756 186069 210912 211392 229008 248092 305344 316368 343512 372138 421824 458016 496184 558207 632736 687024 744276 806299 916032 992368 1116414 1265472 1374048 1488552 1612598 1984736 2232828 2418897 2748096 2977104 3225196 3969472 4465656 4837794 5954208 6450392 7256691 8931312 9675588 11908416 12900784 14513382 17862624 19351176 25801568 29026764 35725248 38702352 51603136 58053528 77404704 116107056 154809408 232214112 464428224
- Sum of all divisors σ(n): 1446011840
- Sum of proper divisors (its aliquot sum) s(n): 981583616
- 464428224 is an abundant number, because the sum of its proper divisors (981583616) is greater than itself. Its abundance is 517155392
Bases of 464428224
- Binary: 110111010111010011100110000002
- Hexadecimal: 0x1BAE9CC0
- Base-36: 7OIB40
Squares and roots of 464428224
- 464428224 squared (4644282242) is 215693575247794176
- 464428224 cubed (4644282243) is 100174184080543409077223424
-
The
square root of 464428224 is 21550.5968362827 -
The
cube root of 464428224 is 774.4134161439
Scales and comparisons
How big is 464428224?- 464,428,224 seconds is equal to 14 years, 39 weeks, 6 days, 7 hours, 50 minutes, 24 seconds.
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To count from 1 to 464,428,224 would take you about twenty-two 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 464428224 cubic inches would be around 64.5 feet tall.
Recreational maths with 464428224
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