137198340864
137,198,340,864 is an even composite number composed of five prime numbers multiplied together.
137198340864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137198340864:
28 × 33 × 13 × 757 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 757 × 2017)See below for interesting mathematical facts about the number 137198340864 from the Numbermatics database.
Names of 137198340864
- Cardinal: 137198340864 can be written as One hundred thirty-seven billion, one hundred ninety-eight million, three hundred forty thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37198340864 × 1011
Factors of 137198340864
Divisors of 137198340864
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 757 768 832 864 936 1152 1248 1404 1514 1664 1728 1872 2017 2271 2304 2496 2808 3028 3328 3456 3744 4034 4542 4992 5616 6051 6056 6813 6912 7488 8068 9084 9841 9984 11232 12102 12112 13626 14976 16136 18153 18168 19682 20439 22464 24204 24224 26221 27252 29523 29952 32272 36306 36336 39364 40878 44928 48408 48448 52442 54459 54504 59046 64544 72612 72672 78663 78728 81756 88569 89856 96816 96896 104884 108918 109008 118092 129088 145224 145344 157326 157456 163512 177138 193632 193792 209768 217836 218016 235989 236184 258176 265707 290448 290688 314652 314912 327024 354276 387264 419536 435672 436032 471978 472368 516352 531414 580896 581376 629304 629824 654048 707967 708552 774528 839072 871344 872064 943956 944736 1062828 1161792 1258608 1259648 1308096 1415934 1417104 1526869 1549056 1678144 1742688 1744128 1887912 1889472 2125656 2323584 2517216 2519296 2616192 2831868 2834208 3053738 3356288 3485376 3775824 3778944 4251312 4580607 4647168 5034432 5232384 5663736 5668416 6107476 6712576 6970752 7551648 7557888 8502624 9161214 10068864 11327472 11336832 12214952 13741821 13941504 15103296 17005248 18322428 19849297 20137728 22654944 22673664 24429904 27483642 30206592 34010496 36644856 39698594 41225463 45309888 48859808 54967284 59547891 60413184 68020992 73289712 79397188 82450926 90619776 97719616 109934568 119095782 146579424 158794376 164901852 178643673 181239552 195439232 219869136 238191564 293158848 317588752 329803704 357287346 390878464 439738272 476383128 535931019 586317696 635177504 659607408 714574692 879476544 952766256 1071862038 1172635392 1270355008 1319214816 1429149384 1758953088 1905532512 2143724076 2540710016 2638429632 2858298768 3517906176 3811065024 4287448152 5081420032 5276859264 5716597536 7622130048 8574896304 10553718528 11433195072 15244260096 17149792608 22866390144 34299585216 45732780288 68599170432 137198340864
- Sum of all divisors σ(n): 437722927040
- Sum of proper divisors (its aliquot sum) s(n): 300524586176
- 137198340864 is an abundant number, because the sum of its proper divisors (300524586176) is greater than itself. Its abundance is 163326245312
Bases of 137198340864
- Binary: 11111111100011010100010001011000000002
- Hexadecimal: 0x1FF1A88B00
- Base-36: 1R10CLC0
Squares and roots of 137198340864
- 137198340864 squared (1371983408642) is 18823384735834332266496
- 137198340864 cubed (1371983408643) is 2582537155201213313732551894892544
-
The
square root of 137198340864 is 370402.9439191865 -
The
cube root of 137198340864 is 5157.6233078451
Scales and comparisons
How big is 137198340864?- 137,198,340,864 seconds is equal to 4,362 years, 25 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,198,340,864 would take you about eight thousand, seven hundred twenty-four 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 137198340864 cubic inches would be around 429.8 feet tall.
Recreational maths with 137198340864
- 137198340864 backwards is 468043891731
- 137198340864 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137198340864's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137198340864 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 137198340864 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/137198340864/
Chicago style:
Numbermatics. 2024. "Number 137198340864 - Facts about the integer". https://numbermatics.com/n/137198340864/
The information we have on file for 137198340864 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137198340864, math, Factors of 137198340864, curriculum, school, college, exams, university, Prime factorization of 137198340864, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven billion, one hundred ninety-eight million, three hundred forty thousand, eight hundred sixty-four.