990126144
990,126,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 990126144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 126 divisors.
990126144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 990126144:
26 × 32 × 72 × 35081
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 35081)See below for interesting mathematical facts about the number 990126144 from the Numbermatics database.
Names of 990126144
- Cardinal: 990126144 can be written as Nine hundred ninety million, one hundred twenty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.90126144 × 108
Factors of 990126144
Divisors of 990126144
- Number of divisors d(n): 126
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 35081 70162 105243 140324 210486 245567 280648 315729 420972 491134 561296 631458 736701 841944 982268 1122592 1262916 1473402 1683888 1718969 1964536 2210103 2245184 2525832 2946804 3367776 3437938 3929072 4420206 5051664 5156907 5893608 6735552 6875876 7858144 8840412 10103328 10313814 11787216 13751752 15470721 15716288 17680824 20206656 20627628 23574432 27503504 30941442 35361648 41255256 47148864 55007008 61882884 70723296 82510512 110014016 123765768 141446592 165021024 247531536 330042048 495063072 990126144
- Sum of all divisors σ(n): 3301461774
- Sum of proper divisors (its aliquot sum) s(n): 2311335630
- 990126144 is an abundant number, because the sum of its proper divisors (2311335630) is greater than itself. Its abundance is 1321209486
Bases of 990126144
- Binary: 1110110000010000100000010000002
- Hexadecimal: 0x3B042040
- Base-36: GDHU80
Squares and roots of 990126144
- 990126144 squared (9901261442) is 980349781032308736
- 990126144 cubed (9901261443) is 970669948464764188193193984
-
The
square root of 990126144 is 31466.2699410017 -
The
cube root of 990126144 is 996.6978222917
Scales and comparisons
How big is 990126144?- 990,126,144 seconds is equal to 31 years, 25 weeks, 19 hours, 2 minutes, 24 seconds.
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To count from 1 to 990,126,144 would take you about forty-seven 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 990126144 cubic inches would be around 83.1 feet tall.
Recreational maths with 990126144
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