131797120
131,797,120 is an even composite number composed of six prime numbers multiplied together.
131797120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131797120:
27 × 5 × 7 × 13 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 31 × 73)See below for interesting mathematical facts about the number 131797120 from the Numbermatics database.
Names of 131797120
- Cardinal: 131797120 can be written as One hundred thirty-one million, seven hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3179712 × 108
Factors of 131797120
Divisors of 131797120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 31 32 35 40 52 56 62 64 65 70 73 80 91 104 112 124 128 130 140 146 155 160 182 208 217 224 248 260 280 292 310 320 364 365 403 416 434 448 455 496 511 520 560 584 620 640 728 730 806 832 868 896 910 949 992 1022 1040 1085 1120 1168 1240 1456 1460 1612 1664 1736 1820 1898 1984 2015 2044 2080 2170 2240 2263 2336 2480 2555 2821 2912 2920 3224 3472 3640 3796 3968 4030 4088 4160 4340 4480 4526 4672 4745 4960 5110 5642 5824 5840 6448 6643 6944 7280 7592 8060 8176 8320 8680 9052 9344 9490 9920 10220 11284 11315 11648 11680 12896 13286 13888 14105 14560 15184 15841 16120 16352 17360 18104 18980 19840 20440 22568 22630 23360 25792 26572 27776 28210 29120 29419 30368 31682 32240 32704 33215 34720 36208 37960 40880 45136 45260 46720 51584 53144 56420 58240 58838 60736 63364 64480 65408 66430 69440 72416 75920 79205 81760 90272 90520 106288 112840 117676 121472 126728 128960 132860 138880 144832 147095 151840 158410 163520 180544 181040 205933 212576 225680 235352 253456 257920 265720 289664 294190 303680 316820 327040 361088 362080 411866 425152 451360 470704 506912 531440 588380 607360 633640 724160 823732 850304 902720 941408 1013824 1029665 1062880 1176760 1267280 1448320 1647464 1805440 1882816 2027648 2059330 2125760 2353520 2534560 3294928 3765632 4118660 4251520 4707040 5069120 6589856 8237320 9414080 10138240 13179712 16474640 18828160 26359424 32949280 65898560 131797120
- Sum of all divisors σ(n): 405780480
- Sum of proper divisors (its aliquot sum) s(n): 273983360
- 131797120 is an abundant number, because the sum of its proper divisors (273983360) is greater than itself. Its abundance is 142186240
Bases of 131797120
- Binary: 1111101101100010000100000002
- Hexadecimal: 0x7DB1080
- Base-36: 26GVB4
Squares and roots of 131797120
- 131797120 squared (1317971202) is 17370480840294400
- 131797120 cubed (1317971203) is 2289379347765981872128000
-
The
square root of 131797120 is 11480.2926791959 -
The
cube root of 131797120 is 508.9033464899
Scales and comparisons
How big is 131797120?- 131,797,120 seconds is equal to 4 years, 9 weeks, 6 days, 10 hours, 18 minutes, 40 seconds.
-
To count from 1 to 131,797,120 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 131797120 cubic inches would be around 42.4 feet tall.
Recreational maths with 131797120
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