34338134016
34,338,134,016 is an even composite number composed of four prime numbers multiplied together.
What does the number 34338134016 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 144 divisors.
34338134016 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 34338134016:
211 × 32 × 127 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 127 × 14669)See below for interesting mathematical facts about the number 34338134016 from the Numbermatics database.
Names of 34338134016
- Cardinal: 34338134016 can be written as Thirty-four billion, three hundred thirty-eight million, one hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 3.4338134016 × 1010
Factors of 34338134016
Divisors of 34338134016
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2048 2286 2304 3048 3072 4064 4572 4608 6096 6144 8128 9144 9216 12192 14669 16256 18288 18432 24384 29338 32512 36576 44007 48768 58676 65024 73152 88014 97536 117352 130048 132021 146304 176028 195072 234704 260096 264042 292608 352056 390144 469408 528084 585216 704112 780288 938816 1056168 1170432 1408224 1862963 1877632 2112336 2340864 2816448 3725926 3755264 4224672 5588889 5632896 7451852 7510528 8449344 11177778 11265792 14903704 15021056 16766667 16898688 22355556 22531584 29807408 30042112 33533334 33797376 44711112 45063168 59614816 67066668 67594752 89422224 90126336 119229632 134133336 135189504 178844448 238459264 268266672 270379008 357688896 476918528 536533344 715377792 953837056 1073066688 1430755584 1907674112 2146133376 2861511168 3815348224 4292266752 5723022336 8584533504 11446044672 17169067008 34338134016
- Sum of all divisors σ(n): 99962553600
- Sum of proper divisors (its aliquot sum) s(n): 65624419584
- 34338134016 is an abundant number, because the sum of its proper divisors (65624419584) is greater than itself. Its abundance is 31286285568
Bases of 34338134016
- Binary: 111111111101011011001011000000000002
- Hexadecimal: 0x7FEB65800
- Base-36: FRW1DS0
Squares and roots of 34338134016
- 34338134016 squared (343381340162) is 1179107447700776288256
- 34338134016 cubed (343381340163) is 40488349558412967253369574916096
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The
square root of 34338134016 is 185305.5153415569 -
The
cube root of 34338134016 is 3250.3158356887
Scales and comparisons
How big is 34338134016?- 34,338,134,016 seconds is equal to 1,091 years, 44 weeks, 2 hours, 33 minutes, 36 seconds.
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To count from 1 to 34,338,134,016 would take you about two thousand, one hundred eighty-three 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 34338134016 cubic inches would be around 270.9 feet tall.
Recreational maths with 34338134016
- 34338134016 backwards is 61043183343
- 34338134016 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34338134016's digits is 36
- More coming soon!
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