137393040825
137,393,040,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137393040825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 216 divisors.
137393040825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 137393040825:
32 × 52 × 19 × 312 × 53 × 631
(3 × 3 × 5 × 5 × 19 × 31 × 31 × 53 × 631)See below for interesting mathematical facts about the number 137393040825 from the Numbermatics database.
Names of 137393040825
- Cardinal: 137393040825 can be written as One hundred thirty-seven billion, three hundred ninety-three million, forty thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.37393040825 × 1011
Factors of 137393040825
Divisors of 137393040825
- Number of divisors d(n): 216
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Complete list of divisors:
1 3 5 9 15 19 25 31 45 53 57 75 93 95 155 159 171 225 265 279 285 465 475 477 589 631 775 795 855 961 1007 1325 1395 1425 1643 1767 1893 2325 2385 2883 2945 3021 3155 3975 4275 4805 4929 5035 5301 5679 6975 8215 8649 8835 9063 9465 11925 11989 14415 14725 14787 15105 15775 18259 19561 24025 24645 25175 26505 28395 31217 33443 35967 41075 43245 44175 45315 47325 50933 54777 58683 59945 72075 73935 75525 91295 93651 97805 100329 107901 123225 132525 141975 152799 156085 164331 167215 176049 179835 216225 226575 254665 273885 280953 293415 299725 300987 369675 371659 456475 458397 468255 489025 501645 539505 606391 635417 763995 780425 821655 836075 880245 899175 967727 1036733 1114977 1273325 1369425 1404765 1467075 1504935 1819173 1858295 1906251 2291985 2341275 2508225 2697525 2903181 3031955 3110199 3177085 3344931 3819975 4108275 4401225 4838635 5183665 5457519 5574885 5718753 7023825 7524675 8709543 9095865 9291475 9330597 9531255 11459925 11521429 14515905 15159775 15550995 15885425 16724655 19697927 24193175 25918325 27287595 27874425 28593765 32138723 34564287 43547715 45479325 46652985 47656275 57607145 59093781 72579525 77754975 83623275 96416169 98489635 103692861 136437975 142968825 160693615 172821435 177281343 217738575 233264925 288035725 289248507 295468905 482080845 492448175 518464305 610635737 803468075 864107175 886406715 1446242535 1477344525 1831907211 2410404225 2592321525 3053178685 4432033575 5495721633 7231212675 9159536055 15265893425 27478608165 45797680275 137393040825
- Sum of all divisors σ(n): 273146178240
- Sum of proper divisors (its aliquot sum) s(n): 135753137415
- 137393040825 is a deficient number, because the sum of its proper divisors (135753137415) is less than itself. Its deficiency is 1639903410
Bases of 137393040825
- Binary: 11111111111010100001101101101101110012
- Hexadecimal: 0x1FFD436DB9
- Base-36: 1R489OS9
Squares and roots of 137393040825
- 137393040825 squared (1373930408252) is 18876847667140116680625
- 137393040825 cubed (1373930408253) is 2593547502178688062096374111515625
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The
square root of 137393040825 is 370665.6725743565 -
The
cube root of 137393040825 is 5160.0619049045
Scales and comparisons
How big is 137393040825?- 137,393,040,825 seconds is equal to 4,368 years, 35 weeks, 5 hours, 33 minutes, 45 seconds.
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To count from 1 to 137,393,040,825 would take you about eight thousand, seven hundred thirty-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 137393040825 cubic inches would be around 430 feet tall.
Recreational maths with 137393040825
- 137393040825 backwards is 528040393731
- 137393040825 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137393040825's digits is 45
- More coming soon!
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