131997600
131,997,600 is an even composite number composed of five prime numbers multiplied together.
131997600 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 131997600:
25 × 35 × 52 × 7 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 97)See below for interesting mathematical facts about the number 131997600 from the Numbermatics database.
Names of 131997600
- Cardinal: 131997600 can be written as One hundred thirty-one million, nine hundred ninety-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.319976 × 108
Factors of 131997600
Divisors of 131997600
- 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 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 96 97 100 105 108 112 120 126 135 140 144 150 160 162 168 175 180 189 194 200 210 216 224 225 240 243 252 270 280 288 291 300 315 324 336 350 360 378 388 400 405 420 432 450 480 485 486 504 525 540 560 567 582 600 630 648 672 675 679 700 720 756 776 800 810 840 864 873 900 945 970 972 1008 1050 1080 1120 1134 1164 1200 1215 1260 1296 1350 1358 1400 1440 1455 1512 1552 1575 1620 1680 1701 1746 1800 1890 1940 1944 2016 2025 2037 2100 2160 2268 2328 2400 2425 2430 2520 2592 2619 2700 2716 2800 2835 2910 3024 3104 3150 3240 3360 3395 3402 3492 3600 3780 3880 3888 4050 4074 4200 4320 4365 4536 4656 4725 4850 4860 5040 5238 5400 5432 5600 5670 5820 6048 6075 6111 6300 6480 6790 6804 6984 7200 7275 7560 7760 7776 7857 8100 8148 8400 8505 8730 9072 9312 9450 9700 9720 10080 10185 10476 10800 10864 11340 11640 12150 12222 12600 12960 13095 13580 13608 13968 14175 14550 15120 15520 15714 16200 16296 16800 16975 17010 17460 18144 18333 18900 19400 19440 20370 20952 21600 21728 21825 22680 23280 23571 24300 24444 25200 26190 27160 27216 27936 28350 29100 30240 30555 31428 32400 32592 33950 34020 34920 36666 37800 38800 38880 39285 40740 41904 42525 43650 45360 46560 47142 48600 48888 50400 50925 52380 54320 54432 54999 56700 58200 61110 62856 64800 65184 65475 67900 68040 69840 73332 75600 77600 78570 81480 83808 85050 87300 90720 91665 94284 97200 97776 101850 104760 108640 109998 113400 116400 117855 122220 125712 130950 135800 136080 139680 146664 151200 152775 157140 162960 164997 170100 174600 183330 188568 194400 195552 196425 203700 209520 219996 226800 232800 235710 244440 251424 261900 271600 272160 274995 293328 305550 314280 325920 329994 340200 349200 366660 377136 392850 407400 419040 439992 453600 458325 471420 488880 523800 543200 549990 586656 589275 611100 628560 659988 680400 698400 733320 754272 785700 814800 824985 879984 916650 942840 977760 1047600 1099980 1178550 1222200 1257120 1319976 1360800 1374975 1466640 1571400 1629600 1649970 1759968 1833300 1885680 2095200 2199960 2357100 2444400 2639952 2749950 2933280 3142800 3299940 3666600 3771360 4124925 4399920 4714200 4888800 5279904 5499900 6285600 6599880 7333200 8249850 8799840 9428400 10999800 13199760 14666400 16499700 18856800 21999600 26399520 32999400 43999200 65998800 131997600
- Sum of all divisors σ(n): 557339328
- Sum of proper divisors (its aliquot sum) s(n): 425341728
- 131997600 is an abundant number, because the sum of its proper divisors (425341728) is greater than itself. Its abundance is 293344128
Bases of 131997600
- Binary: 1111101111000011111101000002
- Hexadecimal: 0x7DE1FA0
- Base-36: 26L600
Squares and roots of 131997600
- 131997600 squared (1319976002) is 17423366405760000
- 131997600 cubed (1319976003) is 2299842549480946176000000
-
The
square root of 131997600 is 11489.0208460077 -
The
cube root of 131997600 is 509.1612511027
Scales and comparisons
How big is 131997600?- 131,997,600 seconds is equal to 4 years, 10 weeks, 1 day, 18 hours.
-
To count from 1 to 131,997,600 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 131997600 cubic inches would be around 42.4 feet tall.
Recreational maths with 131997600
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