455345968
455,345,968 is an even composite number composed of six prime numbers multiplied together.
455345968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 455345968:
24 × 7 × 11 × 61 × 73 × 83
(2 × 2 × 2 × 2 × 7 × 11 × 61 × 73 × 83)See below for interesting mathematical facts about the number 455345968 from the Numbermatics database.
Names of 455345968
- Cardinal: 455345968 can be written as Four hundred fifty-five million, three hundred forty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.55345968 × 108
Factors of 455345968
Divisors of 455345968
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 44 56 61 73 77 83 88 112 122 146 154 166 176 244 292 308 332 427 488 511 581 584 616 664 671 803 854 913 976 1022 1162 1168 1232 1328 1342 1606 1708 1826 2044 2324 2684 3212 3416 3652 4088 4453 4648 4697 5063 5368 5621 6059 6391 6424 6832 7304 8176 8906 9296 9394 10126 10736 11242 12118 12782 12848 14608 17812 18788 20252 22484 24236 25564 31171 35441 35624 37576 40504 42413 44968 48472 48983 51128 55693 62342 66649 70882 71248 75152 81008 84826 89936 96944 97966 102256 111386 124684 133298 141764 169652 195932 222772 249368 266596 283528 339304 342881 369599 389851 391864 445544 466543 498736 533192 567056 678608 685762 739198 779702 783728 891088 933086 1066384 1371524 1478396 1559404 1866172 2587193 2743048 2956792 3118808 3732344 4065589 5174386 5486096 5913584 6237616 7464688 8131178 10348772 16262356 20697544 28459123 32524712 41395088 56918246 65049424 113836492 227672984 455345968
- Sum of all divisors σ(n): 1146926592
- Sum of proper divisors (its aliquot sum) s(n): 691580624
- 455345968 is an abundant number, because the sum of its proper divisors (691580624) is greater than itself. Its abundance is 236234656
Bases of 455345968
- Binary: 110110010010000000111001100002
- Hexadecimal: 0x1B240730
- Base-36: 7J3N74
Squares and roots of 455345968
- 455345968 squared (4553459682) is 207339950573857024
- 455345968 cubed (4553459683) is 94411410499125082086879232
-
The
square root of 455345968 is 21338.8370817155 -
The
cube root of 455345968 is 769.3320614551
Scales and comparisons
How big is 455345968?- 455,345,968 seconds is equal to 14 years, 24 weeks, 6 days, 4 hours, 59 minutes, 28 seconds.
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To count from 1 to 455,345,968 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 455345968 cubic inches would be around 64.1 feet tall.
Recreational maths with 455345968
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