14144064
14,144,064 is an even composite number composed of five prime numbers multiplied together.
14144064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 14144064:
26 × 3 × 11 × 37 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 37 × 181)See below for interesting mathematical facts about the number 14144064 from the Numbermatics database.
Names of 14144064
- Cardinal: 14144064 can be written as Fourteen million, one hundred forty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.4144064 × 107
Factors of 14144064
Divisors of 14144064
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 181 192 222 264 296 352 362 407 444 528 543 592 704 724 814 888 1056 1086 1184 1221 1448 1628 1776 1991 2112 2172 2368 2442 2896 3256 3552 3982 4344 4884 5792 5973 6512 6697 7104 7964 8688 9768 11584 11946 13024 13394 15928 17376 19536 20091 23892 26048 26788 31856 34752 39072 40182 47784 53576 63712 73667 78144 80364 95568 107152 127424 147334 160728 191136 214304 221001 294668 321456 382272 428608 442002 589336 642912 884004 1178672 1285824 1768008 2357344 3536016 4714688 7072032 14144064
- Sum of all divisors σ(n): 42159936
- Sum of proper divisors (its aliquot sum) s(n): 28015872
- 14144064 is an abundant number, because the sum of its proper divisors (28015872) is greater than itself. Its abundance is 13871808
Bases of 14144064
- Binary: 1101011111010010010000002
- Hexadecimal: 0xD7D240
- Base-36: 8F5MO
Squares and roots of 14144064
- 14144064 squared (141440642) is 200054546436096
- 14144064 cubed (141440643) is 2829584308283113734144
-
The
square root of 14144064 is 3760.8594762367 -
The
cube root of 14144064 is 241.8381086027
Scales and comparisons
How big is 14144064?- 14,144,064 seconds is equal to 23 weeks, 2 days, 16 hours, 54 minutes, 24 seconds.
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To count from 1 to 14,144,064 would take you about thirty-five weeks!
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 14144064 cubic inches would be around 20.2 feet tall.
Recreational maths with 14144064
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