131090400
131,090,400 is an even composite number composed of five prime numbers multiplied together.
131090400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 131090400:
25 × 34 × 52 × 7 × 172
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 17)See below for interesting mathematical facts about the number 131090400 from the Numbermatics database.
Names of 131090400
- Cardinal: 131090400 can be written as One hundred thirty-one million, ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.310904 × 108
Factors of 131090400
Divisors of 131090400
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 126 135 136 140 144 150 153 160 162 168 170 175 180 189 200 204 210 216 224 225 238 240 252 255 270 272 280 288 289 300 306 315 324 336 340 350 357 360 378 400 405 408 420 425 432 450 459 476 480 504 510 525 540 544 560 567 578 595 600 612 630 648 672 675 680 700 714 720 756 765 800 810 816 840 850 864 867 900 918 945 952 1008 1020 1050 1071 1080 1120 1134 1156 1190 1200 1224 1260 1275 1296 1350 1360 1377 1400 1428 1440 1445 1512 1530 1575 1620 1632 1680 1700 1734 1785 1800 1836 1890 1904 2016 2023 2025 2040 2100 2142 2160 2268 2295 2312 2380 2400 2448 2520 2550 2592 2601 2700 2720 2754 2800 2835 2856 2890 2975 3024 3060 3150 3213 3240 3360 3400 3468 3570 3600 3672 3780 3808 3825 4046 4050 4080 4200 4284 4320 4335 4536 4590 4624 4725 4760 4896 5040 5100 5202 5355 5400 5508 5600 5670 5712 5780 5950 6048 6069 6120 6300 6426 6480 6800 6885 6936 7140 7200 7225 7344 7560 7650 7803 8092 8100 8160 8400 8568 8670 8925 9072 9180 9248 9450 9520 9639 10080 10115 10200 10404 10710 10800 11016 11340 11424 11475 11560 11900 12138 12240 12600 12852 12960 13005 13600 13770 13872 14175 14280 14450 14688 15120 15300 15606 16065 16184 16200 16800 17136 17340 17850 18144 18207 18360 18900 19040 19278 20230 20400 20808 21420 21600 21675 22032 22680 22950 23120 23409 23800 24276 24480 25200 25704 26010 26775 27540 27744 28350 28560 28900 30240 30345 30600 31212 32130 32368 32400 34272 34425 34680 35700 36414 36720 37800 38556 39015 40460 40800 41616 42840 43350 44064 45360 45900 46240 46818 47600 48195 48552 50400 50575 51408 52020 53550 54621 55080 56700 57120 57800 60690 61200 62424 64260 64736 64800 65025 68850 69360 71400 72828 73440 75600 77112 78030 80325 80920 83232 85680 86700 90720 91035 91800 93636 95200 96390 97104 101150 102816 104040 107100 109242 110160 113400 115600 117045 121380 122400 124848 128520 130050 137700 138720 142800 145656 151200 151725 154224 156060 160650 161840 163863 171360 173400 182070 183600 187272 192780 194208 195075 202300 208080 214200 218484 220320 226800 231200 234090 240975 242760 249696 257040 260100 273105 275400 285600 291312 303450 308448 312120 321300 323680 327726 346800 364140 367200 374544 385560 390150 404600 416160 428400 436968 453600 455175 468180 481950 485520 514080 520200 546210 550800 582624 585225 606900 624240 642600 655452 693600 728280 749088 771120 780300 809200 819315 856800 873936 910350 936360 963900 971040 1040400 1092420 1101600 1170450 1213800 1248480 1285200 1310904 1365525 1456560 1542240 1560600 1618400 1638630 1747872 1820700 1872720 1927800 2080800 2184840 2340900 2427600 2570400 2621808 2731050 2913120 3121200 3277260 3641400 3745440 3855600 4096575 4369680 4681800 4855200 5243616 5462100 6242400 6554520 7282800 7711200 8193150 8739360 9363600 10924200 13109040 14565600 16386300 18727200 21848400 26218080 32772600 43696800 65545200 131090400
- Sum of all divisors σ(n): 580384728
- Sum of proper divisors (its aliquot sum) s(n): 449294328
- 131090400 is an abundant number, because the sum of its proper divisors (449294328) is greater than itself. Its abundance is 318203928
Bases of 131090400
- Binary: 1111101000001000111111000002
- Hexadecimal: 0x7D047E0
- Base-36: 261Q00
Squares and roots of 131090400
- 131090400 squared (1310904002) is 17184692972160000
- 131090400 cubed (1310904003) is 2252748275597643264000000
-
The
square root of 131090400 is 11449.4716035283 -
The
cube root of 131090400 is 507.9921051949
Scales and comparisons
How big is 131090400?- 131,090,400 seconds is equal to 4 years, 8 weeks, 5 days, 6 hours.
-
To count from 1 to 131,090,400 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 131090400 cubic inches would be around 42.3 feet tall.
Recreational maths with 131090400
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