131970720
131,970,720 is an even composite number composed of six prime numbers multiplied together.
131970720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131970720:
25 × 3 × 5 × 72 × 31 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 31 × 181)See below for interesting mathematical facts about the number 131970720 from the Numbermatics database.
Names of 131970720
- Cardinal: 131970720 can be written as One hundred thirty-one million, nine hundred seventy thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3197072 × 108
Factors of 131970720
Divisors of 131970720
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 62 70 80 84 93 96 98 105 112 120 124 140 147 155 160 168 181 186 196 210 217 224 240 245 248 280 294 310 336 362 372 392 420 434 465 480 490 496 543 560 588 620 651 672 724 735 744 784 840 868 905 930 980 992 1085 1086 1120 1176 1240 1267 1302 1448 1470 1488 1519 1568 1680 1736 1810 1860 1960 2170 2172 2352 2480 2534 2604 2715 2896 2940 2976 3038 3255 3360 3472 3620 3720 3801 3920 4340 4344 4557 4704 4960 5068 5208 5430 5611 5792 5880 6076 6335 6510 6944 7240 7440 7595 7602 7840 8680 8688 8869 9114 10136 10416 10860 11222 11760 12152 12670 13020 14480 14880 15190 15204 16833 17360 17376 17738 18228 19005 20272 20832 21720 22444 22785 23520 24304 25340 26040 26607 28055 28960 30380 30408 33666 34720 35476 36456 38010 39277 40544 43440 44345 44888 45570 48608 50680 52080 53214 56110 60760 60816 67332 70952 72912 76020 78554 84165 86880 88690 89776 91140 101360 104160 106428 112220 117831 121520 121632 133035 134664 141904 145824 152040 157108 168330 177380 179552 182280 196385 202720 212856 224440 235662 243040 266070 269328 274939 283808 304080 314216 336660 354760 364560 392770 425712 448880 471324 532140 538656 549878 589155 608160 628432 673320 709520 729120 785540 824817 851424 897760 942648 1064280 1099756 1178310 1256864 1346640 1374695 1419040 1571080 1649634 1885296 2128560 2199512 2356620 2693280 2749390 3142160 3299268 3770592 4124085 4257120 4399024 4713240 5498780 6284320 6598536 8248170 8798048 9426480 10997560 13197072 16496340 18852960 21995120 26394144 32992680 43990240 65985360 131970720
- Sum of all divisors σ(n): 501935616
- Sum of proper divisors (its aliquot sum) s(n): 369964896
- 131970720 is an abundant number, because the sum of its proper divisors (369964896) is greater than itself. Its abundance is 237994176
Bases of 131970720
- Binary: 1111101110110110110101000002
- Hexadecimal: 0x7DDB6A0
- Base-36: 26KL9C
Squares and roots of 131970720
- 131970720 squared (1319707202) is 17416270937318400
- 131970720 cubed (1319707203) is 2298437815312984117248000
-
The
square root of 131970720 is 11487.8509739641 -
The
cube root of 131970720 is 509.1266868795
Scales and comparisons
How big is 131970720?- 131,970,720 seconds is equal to 4 years, 10 weeks, 1 day, 10 hours, 32 minutes.
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To count from 1 to 131,970,720 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 131970720 cubic inches would be around 42.4 feet tall.
Recreational maths with 131970720
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