137009664
137,009,664 is an even composite number composed of five prime numbers multiplied together.
137009664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137009664:
29 × 33 × 11 × 17 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 17 × 53)See below for interesting mathematical facts about the number 137009664 from the Numbermatics database.
Names of 137009664
- Cardinal: 137009664 can be written as One hundred thirty-seven million, nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.37009664 × 108
Factors of 137009664
Divisors of 137009664
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 53 54 64 66 68 72 88 96 99 102 106 108 128 132 136 144 153 159 176 187 192 198 204 212 216 256 264 272 288 297 306 318 352 374 384 396 408 424 432 459 477 512 528 544 561 576 583 594 612 636 704 748 768 792 816 848 864 901 918 954 1056 1088 1122 1152 1166 1188 1224 1272 1408 1431 1496 1536 1584 1632 1683 1696 1728 1749 1802 1836 1908 2112 2176 2244 2304 2332 2376 2448 2544 2703 2816 2862 2992 3168 3264 3366 3392 3456 3498 3604 3672 3816 4224 4352 4488 4608 4664 4752 4896 5049 5088 5247 5406 5632 5724 5984 6336 6528 6732 6784 6912 6996 7208 7344 7632 8109 8448 8704 8976 9328 9504 9792 9911 10098 10176 10494 10812 11448 11968 12672 13056 13464 13568 13824 13992 14416 14688 15264 15741 16218 16896 17952 18656 19008 19584 19822 20196 20352 20988 21624 22896 23936 24327 25344 26112 26928 27136 27984 28832 29376 29733 30528 31482 32436 35904 37312 38016 39168 39644 40392 40704 41976 43248 45792 47872 48654 50688 53856 55968 57664 58752 59466 61056 62964 64872 71808 74624 76032 78336 79288 80784 81408 83952 86496 89199 91584 95744 97308 107712 111936 115328 117504 118932 122112 125928 129744 143616 149248 152064 158576 161568 167904 172992 178398 183168 194616 215424 223872 230656 235008 237864 244224 251856 259488 267597 287232 298496 317152 323136 335808 345984 356796 366336 389232 430848 447744 461312 475728 503712 518976 535194 634304 646272 671616 691968 713592 732672 778464 861696 895488 951456 1007424 1037952 1070388 1268608 1292544 1343232 1383936 1427184 1556928 1902912 2014848 2075904 2140776 2537216 2585088 2686464 2854368 3113856 3805824 4029696 4151808 4281552 5074432 5708736 6227712 7611648 8059392 8563104 11417472 12455424 15223296 17126208 22834944 34252416 45669888 68504832 137009664
- Sum of all divisors σ(n): 477290880
- Sum of proper divisors (its aliquot sum) s(n): 340281216
- 137009664 is an abundant number, because the sum of its proper divisors (340281216) is greater than itself. Its abundance is 203271552
Bases of 137009664
- Binary: 10000010101010011010000000002
- Hexadecimal: 0x82A9A00
- Base-36: 29KLC0
Squares and roots of 137009664
- 137009664 squared (1370096642) is 18771648029392896
- 137009664 cubed (1370096643) is 2571897189233382804946944
-
The
square root of 137009664 is 11705.1127290599 -
The
cube root of 137009664 is 515.5257947325
Scales and comparisons
How big is 137009664?- 137,009,664 seconds is equal to 4 years, 18 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,009,664 would take you about six 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 137009664 cubic inches would be around 43 feet tall.
Recreational maths with 137009664
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 137009664 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 137009664 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137009664/
Chicago style:
Numbermatics. 2024. "Number 137009664 - Facts about the integer". https://numbermatics.com/n/137009664/
The information we have on file for 137009664 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 137009664, math, Factors of 137009664, curriculum, school, college, exams, university, Prime factorization of 137009664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven million, nine thousand, six hundred sixty-four.