131868000
131,868,000 is an even composite number composed of five prime numbers multiplied together.
131868000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 131868000:
25 × 34 × 53 × 11 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 37)See below for interesting mathematical facts about the number 131868000 from the Numbermatics database.
Names of 131868000
- Cardinal: 131868000 can be written as One hundred thirty-one million, eight hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31868 × 108
Factors of 131868000
Divisors of 131868000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 37 40 44 45 48 50 54 55 60 66 72 74 75 80 81 88 90 96 99 100 108 110 111 120 125 132 135 144 148 150 160 162 165 176 180 185 198 200 216 220 222 225 240 250 264 270 275 288 296 297 300 324 330 333 352 360 370 375 396 400 405 407 432 440 444 450 480 495 500 528 540 550 555 592 594 600 648 660 666 675 720 740 750 792 800 810 814 825 864 880 888 891 900 925 990 999 1000 1056 1080 1100 1110 1125 1184 1188 1200 1221 1296 1320 1332 1350 1375 1440 1480 1485 1500 1584 1620 1628 1650 1665 1760 1776 1782 1800 1850 1980 1998 2000 2025 2035 2160 2200 2220 2250 2376 2400 2442 2475 2592 2640 2664 2700 2750 2775 2960 2970 2997 3000 3168 3240 3256 3300 3330 3375 3552 3564 3600 3663 3700 3960 3996 4000 4050 4070 4125 4320 4400 4440 4455 4500 4625 4752 4884 4950 4995 5280 5328 5400 5500 5550 5920 5940 5994 6000 6105 6480 6512 6600 6660 6750 7128 7200 7326 7400 7425 7920 7992 8100 8140 8250 8325 8800 8880 8910 9000 9250 9504 9768 9900 9990 10125 10175 10656 10800 10989 11000 11100 11880 11988 12000 12210 12375 12960 13024 13200 13320 13500 13875 14256 14652 14800 14850 14985 15840 15984 16200 16280 16500 16650 17760 17820 18000 18315 18500 19536 19800 19980 20250 20350 21600 21978 22000 22200 22275 23760 23976 24420 24750 24975 26400 26640 27000 27750 28512 29304 29600 29700 29970 30525 31968 32400 32560 32967 33000 33300 35640 36000 36630 37000 37125 39072 39600 39960 40500 40700 41625 43956 44000 44400 44550 47520 47952 48840 49500 49950 50875 53280 54000 54945 55500 58608 59400 59940 61050 64800 65120 65934 66000 66600 71280 73260 74000 74250 74925 79200 79920 81000 81400 83250 87912 88800 89100 91575 95904 97680 99000 99900 101750 108000 109890 111000 111375 117216 118800 119880 122100 124875 131868 132000 133200 142560 146520 148000 148500 149850 152625 159840 162000 162800 164835 166500 175824 178200 183150 195360 198000 199800 203500 219780 222000 222750 237600 239760 244200 249750 263736 266400 274725 293040 297000 299700 305250 324000 325600 329670 333000 351648 356400 366300 374625 396000 399600 407000 439560 444000 445500 457875 479520 488400 499500 527472 549450 586080 594000 599400 610500 659340 666000 712800 732600 749250 799200 814000 824175 879120 891000 915750 976800 999000 1054944 1098900 1188000 1198800 1221000 1318680 1332000 1373625 1465200 1498500 1628000 1648350 1758240 1782000 1831500 1998000 2197800 2397600 2442000 2637360 2747250 2930400 2997000 3296700 3564000 3663000 3996000 4120875 4395600 4884000 5274720 5494500 5994000 6593400 7326000 8241750 8791200 10989000 11988000 13186800 14652000 16483500 21978000 26373600 32967000 43956000 65934000 131868000
- Sum of all divisors σ(n): 542269728
- Sum of proper divisors (its aliquot sum) s(n): 410401728
- 131868000 is an abundant number, because the sum of its proper divisors (410401728) is greater than itself. Its abundance is 278533728
Bases of 131868000
- Binary: 1111101110000100101011000002
- Hexadecimal: 0x7DC2560
- Base-36: 26IE00
Squares and roots of 131868000
- 131868000 squared (1318680002) is 17389169424000000
- 131868000 cubed (1318680003) is 2293074993604032000000000
-
The
square root of 131868000 is 11483.3792935703 -
The
cube root of 131868000 is 508.9945589151
Scales and comparisons
How big is 131868000?- 131,868,000 seconds is equal to 4 years, 10 weeks, 6 hours.
-
To count from 1 to 131,868,000 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 131868000 cubic inches would be around 42.4 feet tall.
Recreational maths with 131868000
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