131880960
131,880,960 is an even composite number composed of four prime numbers multiplied together.
131880960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131880960:
211 × 35 × 5 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 53)See below for interesting mathematical facts about the number 131880960 from the Numbermatics database.
Names of 131880960
- Cardinal: 131880960 can be written as One hundred thirty-one million, eight hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3188096 × 108
Factors of 131880960
Divisors of 131880960
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 64 72 80 81 90 96 106 108 120 128 135 144 159 160 162 180 192 212 216 240 243 256 265 270 288 318 320 324 360 384 405 424 432 477 480 486 512 530 540 576 636 640 648 720 768 795 810 848 864 954 960 972 1024 1060 1080 1152 1215 1272 1280 1296 1431 1440 1536 1590 1620 1696 1728 1908 1920 1944 2048 2120 2160 2304 2385 2430 2544 2560 2592 2862 2880 3072 3180 3240 3392 3456 3816 3840 3888 4240 4293 4320 4608 4770 4860 5088 5120 5184 5724 5760 6144 6360 6480 6784 6912 7155 7632 7680 7776 8480 8586 8640 9216 9540 9720 10176 10240 10368 11448 11520 12720 12879 12960 13568 13824 14310 15264 15360 15552 16960 17172 17280 18432 19080 19440 20352 20736 21465 22896 23040 25440 25758 25920 27136 27648 28620 30528 30720 31104 33920 34344 34560 38160 38880 40704 41472 42930 45792 46080 50880 51516 51840 54272 55296 57240 61056 62208 64395 67840 68688 69120 76320 77760 81408 82944 85860 91584 92160 101760 103032 103680 108544 114480 122112 124416 128790 135680 137376 138240 152640 155520 162816 165888 171720 183168 203520 206064 207360 228960 244224 248832 257580 271360 274752 276480 305280 311040 325632 343440 366336 407040 412128 414720 457920 488448 497664 515160 542720 549504 610560 622080 686880 732672 814080 824256 829440 915840 976896 1030320 1099008 1221120 1244160 1373760 1465344 1628160 1648512 1831680 2060640 2198016 2442240 2488320 2747520 2930688 3297024 3663360 4121280 4396032 4884480 5495040 6594048 7326720 8242560 8792064 10990080 13188096 14653440 16485120 21980160 26376192 32970240 43960320 65940480 131880960
- Sum of all divisors σ(n): 482947920
- Sum of proper divisors (its aliquot sum) s(n): 351066960
- 131880960 is an abundant number, because the sum of its proper divisors (351066960) is greater than itself. Its abundance is 219186000
Bases of 131880960
- Binary: 1111101110001011000000000002
- Hexadecimal: 0x7DC5800
- Base-36: 26IO00
Squares and roots of 131880960
- 131880960 squared (1318809602) is 17392587610521600
- 131880960 cubed (1318809603) is 2293751150959694708736000
-
The
square root of 131880960 is 11483.9435735289 -
The
cube root of 131880960 is 509.0112330473
Scales and comparisons
How big is 131880960?- 131,880,960 seconds is equal to 4 years, 10 weeks, 9 hours, 36 minutes.
-
To count from 1 to 131,880,960 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 131880960 cubic inches would be around 42.4 feet tall.
Recreational maths with 131880960
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