131982480
131,982,480 is an even composite number composed of six prime numbers multiplied together.
131982480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131982480:
24 × 33 × 5 × 72 × 29 × 43
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 29 × 43)See below for interesting mathematical facts about the number 131982480 from the Numbermatics database.
Names of 131982480
- Cardinal: 131982480 can be written as One hundred thirty-one million, nine hundred eighty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3198248 × 108
Factors of 131982480
Divisors of 131982480
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 35 36 40 42 43 45 48 49 54 56 58 60 63 70 72 80 84 86 87 90 98 105 108 112 116 120 126 129 135 140 144 145 147 168 172 174 180 189 196 203 210 215 216 232 240 245 252 258 261 270 280 290 294 301 315 336 344 348 360 378 387 392 406 420 430 432 435 441 464 490 504 516 522 540 560 580 588 602 609 630 645 688 696 720 735 756 774 783 784 812 840 860 870 882 903 945 980 1008 1015 1032 1044 1080 1160 1161 1176 1204 1218 1247 1260 1290 1305 1323 1392 1421 1470 1505 1512 1548 1566 1624 1680 1720 1740 1764 1806 1827 1890 1935 1960 2030 2064 2088 2107 2160 2205 2320 2322 2352 2408 2436 2494 2520 2580 2610 2646 2709 2842 2940 3010 3024 3045 3096 3132 3248 3440 3480 3528 3612 3654 3741 3780 3870 3915 3920 4060 4176 4214 4263 4410 4515 4644 4816 4872 4988 5040 5160 5220 5292 5418 5481 5684 5805 5880 6020 6090 6192 6235 6264 6321 6615 6960 7056 7105 7224 7308 7482 7560 7740 7830 8120 8127 8428 8526 8729 8820 9030 9135 9288 9744 9976 10320 10440 10535 10584 10836 10962 11223 11368 11610 11760 12040 12180 12470 12528 12642 12789 13230 13545 14210 14448 14616 14964 15120 15480 15660 16240 16254 16856 17052 17458 17640 18060 18270 18576 18705 18963 19952 20880 21070 21168 21315 21672 21924 22446 22736 23220 24080 24360 24940 25284 25578 26187 26460 27090 27405 28420 29232 29928 30960 31320 31605 32508 33669 33712 34104 34916 35280 36120 36540 37410 37926 38367 40635 42140 42630 43344 43645 43848 44892 46440 48720 49880 50568 51156 52374 52920 54180 54810 56115 56840 56889 59856 61103 62640 63210 63945 65016 67338 68208 69832 72240 73080 74820 75852 76734 78561 81270 84280 85260 87290 87696 89784 92880 94815 99760 101136 102312 104748 105840 108360 109620 112230 113680 113778 122206 126420 127890 130032 130935 134676 139664 146160 149640 151704 153468 157122 162540 168345 168560 170520 174580 179568 183309 189630 191835 204624 209496 216720 219240 224460 227556 235683 244412 252840 255780 261870 269352 284445 299280 303408 305515 306936 314244 325080 336690 341040 349160 366618 379260 383670 392805 418992 438480 448920 455112 471366 488824 505680 511560 523740 538704 549927 568890 611030 613872 628488 650160 673380 698320 733236 758520 767340 785610 897840 910224 916545 942732 977648 1023120 1047480 1099854 1137780 1178415 1222060 1256976 1346760 1466472 1517040 1534680 1571220 1649781 1833090 1885464 2094960 2199708 2275560 2356830 2444120 2693520 2749635 2932944 3069360 3142440 3299562 3666180 3770928 4399416 4551120 4713660 4888240 5499270 6284880 6599124 7332360 8248905 8798832 9427320 10998540 13198248 14664720 16497810 18854640 21997080 26396496 32995620 43994160 65991240 131982480
- Sum of all divisors σ(n): 559785600
- Sum of proper divisors (its aliquot sum) s(n): 427803120
- 131982480 is an abundant number, because the sum of its proper divisors (427803120) is greater than itself. Its abundance is 295820640
Bases of 131982480
- Binary: 1111101110111100100100100002
- Hexadecimal: 0x7DDE490
- Base-36: 26KUC0
Squares and roots of 131982480
- 131982480 squared (1319824802) is 17419375026950400
- 131982480 cubed (1319824803) is 2299052316106980628992000
-
The
square root of 131982480 is 11488.3628076415 -
The
cube root of 131982480 is 509.1418093047
Scales and comparisons
How big is 131982480?- 131,982,480 seconds is equal to 4 years, 10 weeks, 1 day, 13 hours, 48 minutes.
-
To count from 1 to 131,982,480 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 131982480 cubic inches would be around 42.4 feet tall.
Recreational maths with 131982480
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