132814080
132,814,080 is an even composite number composed of five prime numbers multiplied together.
132814080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 132814080:
28 × 35 × 5 × 7 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 61)See below for interesting mathematical facts about the number 132814080 from the Numbermatics database.
Names of 132814080
- Cardinal: 132814080 can be written as One hundred thirty-two million, eight hundred fourteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3281408 × 108
Factors of 132814080
Divisors of 132814080
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 61 63 64 70 72 80 81 84 90 96 105 108 112 120 122 126 128 135 140 144 160 162 168 180 183 189 192 210 216 224 240 243 244 252 256 270 280 288 305 315 320 324 336 360 366 378 384 405 420 427 432 448 480 486 488 504 540 549 560 567 576 610 630 640 648 672 720 732 756 768 810 840 854 864 896 915 945 960 972 976 1008 1080 1098 1120 1134 1152 1215 1220 1260 1280 1281 1296 1344 1440 1464 1512 1620 1647 1680 1701 1708 1728 1792 1830 1890 1920 1944 1952 2016 2135 2160 2196 2240 2268 2304 2430 2440 2520 2562 2592 2688 2745 2835 2880 2928 3024 3240 3294 3360 3402 3416 3456 3660 3780 3840 3843 3888 3904 4032 4270 4320 4392 4480 4536 4860 4880 4941 5040 5124 5184 5376 5490 5670 5760 5856 6048 6405 6480 6588 6720 6804 6832 6912 7320 7560 7686 7776 7808 8064 8235 8505 8540 8640 8784 8960 9072 9720 9760 9882 10080 10248 10368 10980 11340 11520 11529 11712 12096 12810 12960 13176 13440 13608 13664 14640 14823 15120 15372 15552 15616 16128 16470 17010 17080 17280 17568 18144 19215 19440 19520 19764 20160 20496 20736 21960 22680 23058 23424 24192 24705 25620 25920 26352 26880 27216 27328 29280 29646 30240 30744 31104 32940 34020 34160 34560 34587 35136 36288 38430 38880 39040 39528 40320 40992 43920 45360 46116 46848 48384 49410 51240 51840 52704 54432 54656 57645 58560 59292 60480 61488 62208 65880 68040 68320 69174 70272 72576 74115 76860 77760 78080 79056 80640 81984 87840 90720 92232 98820 102480 103680 103761 105408 108864 109312 115290 117120 118584 120960 122976 131760 136080 136640 138348 140544 145152 148230 153720 155520 158112 163968 172935 175680 181440 184464 197640 204960 207522 210816 217728 230580 234240 237168 241920 245952 263520 272160 273280 276696 296460 307440 311040 316224 327936 345870 351360 362880 368928 395280 409920 415044 421632 435456 461160 474336 491904 518805 527040 544320 546560 553392 592920 614880 632448 691740 702720 725760 737856 790560 819840 830088 922320 948672 983808 1037610 1054080 1088640 1106784 1185840 1229760 1264896 1383480 1475712 1581120 1639680 1660176 1844640 1897344 2075220 2108160 2177280 2213568 2371680 2459520 2766960 2951424 3162240 3320352 3689280 3794688 4150440 4427136 4743360 4919040 5533920 6324480 6640704 7378560 8300880 8854272 9486720 11067840 13281408 14757120 16601760 18973440 22135680 26562816 33203520 44271360 66407040 132814080
- Sum of all divisors σ(n): 553547904
- Sum of proper divisors (its aliquot sum) s(n): 420733824
- 132814080 is an abundant number, because the sum of its proper divisors (420733824) is greater than itself. Its abundance is 287919744
Bases of 132814080
- Binary: 1111110101010010101000000002
- Hexadecimal: 0x7EA9500
- Base-36: 272O00
Squares and roots of 132814080
- 132814080 squared (1328140802) is 17639579846246400
- 132814080 cubed (1328140803) is 2342784568865757069312000
-
The
square root of 132814080 is 11524.4991214371 -
The
cube root of 132814080 is 510.2089109521
Scales and comparisons
How big is 132814080?- 132,814,080 seconds is equal to 4 years, 11 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 132,814,080 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 132814080 cubic inches would be around 42.5 feet tall.
Recreational maths with 132814080
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 132814080 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 132814080 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/132814080/
Chicago style:
Numbermatics. 2024. "Number 132814080 - Facts about the integer". https://numbermatics.com/n/132814080/
The information we have on file for 132814080 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 132814080, math, Factors of 132814080, curriculum, school, college, exams, university, Prime factorization of 132814080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two million, eight hundred fourteen thousand and eighty.