137206080
137,206,080 is an even composite number composed of six prime numbers multiplied together.
137206080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137206080:
26 × 32 × 5 × 11 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 61 × 71)See below for interesting mathematical facts about the number 137206080 from the Numbermatics database.
Names of 137206080
- Cardinal: 137206080 can be written as One hundred thirty-seven million, two hundred six thousand and eighty.
Scientific notation
- Scientific notation: 1.3720608 × 108
Factors of 137206080
Divisors of 137206080
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 61 64 66 71 72 80 88 90 96 99 110 120 122 132 142 144 160 165 176 180 183 192 198 213 220 240 244 264 284 288 305 320 330 352 355 360 366 396 426 440 480 488 495 528 549 568 576 610 639 660 671 704 710 720 732 781 792 852 880 915 960 976 990 1056 1065 1098 1136 1220 1278 1320 1342 1420 1440 1464 1562 1584 1704 1760 1830 1952 1980 2013 2112 2130 2196 2272 2343 2440 2556 2640 2684 2745 2840 2880 2928 3124 3168 3195 3355 3408 3520 3660 3904 3905 3960 4026 4260 4331 4392 4544 4686 4880 5112 5280 5368 5490 5680 5856 6039 6248 6336 6390 6710 6816 7029 7320 7810 7920 8052 8520 8662 8784 9372 9760 10065 10224 10560 10736 10980 11360 11712 11715 12078 12496 12780 12993 13420 13632 14058 14640 15620 15840 16104 17040 17324 17568 18744 19520 20130 20448 21472 21655 21960 22720 23430 24156 24992 25560 25986 26840 28116 29280 30195 31240 31680 32208 34080 34648 35136 35145 37488 38979 40260 40896 42944 43310 43920 46860 47641 48312 49984 51120 51972 53680 56232 58560 60390 62480 64416 64965 68160 69296 70290 74976 77958 80520 86620 87840 93720 95282 96624 102240 103944 107360 112464 120780 124960 128832 129930 138592 140580 142923 149952 155916 161040 173240 175680 187440 190564 193248 194895 204480 207888 214720 224928 238205 241560 249920 259860 277184 281160 285846 311832 322080 346480 374880 381128 386496 389790 415776 428769 449856 476410 483120 519720 562320 571692 623664 644160 692960 714615 749760 762256 779580 831552 857538 952820 966240 1039440 1124640 1143384 1247328 1385920 1429230 1524512 1559160 1715076 1905640 1932480 2078880 2143845 2249280 2286768 2494656 2858460 3049024 3118320 3430152 3811280 4157760 4287690 4573536 5716920 6236640 6860304 7622560 8575380 9147072 11433840 12473280 13720608 15245120 17150760 22867680 27441216 34301520 45735360 68603040 137206080
- Sum of all divisors σ(n): 530644608
- Sum of proper divisors (its aliquot sum) s(n): 393438528
- 137206080 is an abundant number, because the sum of its proper divisors (393438528) is greater than itself. Its abundance is 256232448
Bases of 137206080
- Binary: 10000010110110011001010000002
- Hexadecimal: 0x82D9940
- Base-36: 29OSW0
Squares and roots of 137206080
- 137206080 squared (1372060802) is 18825508388966400
- 137206080 cubed (1372060803) is 2582974210057194995712000
-
The
square root of 137206080 is 11713.4999039569 -
The
cube root of 137206080 is 515.7720283745
Scales and comparisons
How big is 137206080?- 137,206,080 seconds is equal to 4 years, 18 weeks, 6 days, 48 minutes.
-
To count from 1 to 137,206,080 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 137206080 cubic inches would be around 43 feet tall.
Recreational maths with 137206080
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 137206080 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 137206080 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137206080/
Chicago style:
Numbermatics. 2024. "Number 137206080 - Facts about the integer". https://numbermatics.com/n/137206080/
The information we have on file for 137206080 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 137206080, math, Factors of 137206080, curriculum, school, college, exams, university, Prime factorization of 137206080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven million, two hundred six thousand and eighty.