442968064
442,968,064 is an even composite number composed of four prime numbers multiplied together.
442968064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442968064:
211 × 7 × 11 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 53 × 53)See below for interesting mathematical facts about the number 442968064 from the Numbermatics database.
Names of 442968064
- Cardinal: 442968064 can be written as Four hundred forty-two million, nine hundred sixty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 4.42968064 × 108
Factors of 442968064
Divisors of 442968064
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 128 154 176 212 224 256 308 352 371 424 448 512 583 616 704 742 848 896 1024 1166 1232 1408 1484 1696 1792 2048 2332 2464 2809 2816 2968 3392 3584 4081 4664 4928 5618 5632 5936 6784 7168 8162 9328 9856 11236 11264 11872 13568 14336 16324 18656 19663 19712 22472 22528 23744 27136 30899 32648 37312 39326 39424 44944 47488 54272 61798 65296 74624 78652 78848 89888 94976 108544 123596 130592 149248 157304 157696 179776 189952 216293 247192 261184 298496 314608 359552 379904 432586 494384 522368 596992 629216 719104 759808 865172 988768 1044736 1193984 1258432 1438208 1730344 1977536 2089472 2516864 2876416 3460688 3955072 4178944 5033728 5752832 6921376 7910144 8357888 10067456 13842752 15820288 20134912 27685504 31640576 40269824 55371008 63281152 110742016 221484032 442968064
- Sum of all divisors σ(n): 1125502560
- Sum of proper divisors (its aliquot sum) s(n): 682534496
- 442968064 is an abundant number, because the sum of its proper divisors (682534496) is greater than itself. Its abundance is 239566432
Bases of 442968064
- Binary: 110100110011100101000000000002
- Hexadecimal: 0x1A672800
- Base-36: 7BQCCG
Squares and roots of 442968064
- 442968064 squared (4429680642) is 196220705723908096
- 442968064 cubed (4429680643) is 86919506131233287799046144
-
The
square root of 442968064 is 21046.8065036005 -
The
cube root of 442968064 is 762.2968741025
Scales and comparisons
How big is 442968064?- 442,968,064 seconds is equal to 14 years, 4 weeks, 2 days, 22 hours, 41 minutes, 4 seconds.
-
To count from 1 to 442,968,064 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 442968064 cubic inches would be around 63.5 feet tall.
Recreational maths with 442968064
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