138284031600000
138,284,031,600,000 is an even composite number composed of eight prime numbers multiplied together.
138284031600000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.
Prime factorization of 138284031600000:
27 × 33 × 55 × 11 × 13 × 17 × 23 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 17 × 23 × 229)See below for interesting mathematical facts about the number 138284031600000 from the Numbermatics database.
Names of 138284031600000
- Cardinal: 138284031600000 can be written as One hundred thirty-eight trillion, two hundred eighty-four billion, thirty-one million, six hundred thousand.
Scientific notation
- Scientific notation: 1.382840316 × 1014
Factors of 138284031600000
Divisors of 138284031600000
- Number of divisors d(n): 6144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 20 22 23 24 25 26 27 30 32 33 34 36 39 40 44 45 46 48 50 51 52 54 55 60 64 65 66 68 69 72 75 78 80 85 88 90 92 96 99 100 102 104 108 110 115 117 120 125 128 130 132 135 136 138 143 144 150 153 156 160 165 170 176 180 184 187 192 195 198 200 204 207 208 216 220 221 225 229 230 234 240 250 253 255 260 264 270 272 275 276 286 288 297 299 300 306 312 320 325 330 340 345 351 352 360 368 374 375 384 390 391 396 400 408 414 416 425 429 432 440 442 450 458 459 460 468 480 495 500 506 510 520 528 540 544 550 552 561 572 575 576 585 594 598 600 612 621 624 625 640 650 660 663 675 680 687 690 702 704 715 720 736 748 750 759 765 780 782 792 800 816 825 828 832 850 858 864 880 884 897 900 916 918 920 935 936 960 975 990 1000 1012 1020 1035 1040 1056 1080 1088 1100 1104 1105 1122 1125 1144 1145 1150 1152 1170 1173 1188 1196 1200 1224 1242 1248 1250 1265 1275 1287 1300 1320 1326 1350 1360 1374 1375 1380 1404 1408 1430 1440 1472 1485 1495 1496 1500 1518 1530 1560 1564 1584 1600 1625 1632 1650 1656 1664 1683 1700 1716 1725 1728 1755 1760 1768 1794 1800 1832 1836 1840 1870 1872 1875 1920 1950 1955 1980 1989 2000 2024 2040 2061 2070 2080 2112 2125 2145 2160 2176 2200 2208 2210 2244 2250 2277 2288 2290 2295 2300 2340 2346 2376 2392 2400 2431 2448 2475 2484 2496 2500 2519 2530 2550 2574 2600 2640 2652 2691 2700 2720 2748 2750 2760 2805 2808 2860 2875 2880 2925 2944 2970 2977 2990 2992 3000 3036 3060 3105 3120 3125 3128 3168 3200 3250 3264 3289 3300 3312 3315 3366 3375 3400 3432 3435 3450 3456 3510 3519 3520 3536 3575 3588 3600 3664 3672 3680 3740 3744 3750 3795 3825 3861 3893 3900 3910 3960 3978 4000 4048 4080 4122 4125 4140 4160 4224 4250 4290 4301 4320 4400 4416 4420 4485 4488 4500 4554 4576 4580 4590 4600 4675 4680 4692 4752 4784 4800 4862 4875 4896 4950 4968 4992 5000 5038 5049 5060 5083 5100 5148 5175 5200 5267 5280 5304 5382 5400 5440 5496 5500 5520 5525 5610 5616 5625 5720 5725 5750 5760 5850 5865 5940 5954 5967 5980 5984 6000 6072 6120 6183 6210 6240 6250 6256 6325 6336 6375 6435 6500 6528 6578 6600 6624 6630 6732 6750 6800 6831 6864 6870 6875 6900 7020 7038 7040 7072 7150 7176 7200 7293 7328 7344 7360 7425 7475 7480 7488 7500 7557 7590 7650 7722 7786 7800 7820 7920 7956 8000 8073 8096 8125 8160 8244 8250 8280 8320 8415 8500 8580 8602 8625 8640 8775 8800 8832 8840 8931 8970 8976 9000 9108 9152 9160 9180 9200 9350 9360 9375 9384 9504 9568 9600 9724 9750 9775 9792 9867 9900 9936 9945 10000 10076 10098 10120 10166 10200 10296 10305 10350 10400 10534 10557 10560 10608 10625 10725 10764 10800 10880 10992 11000 11040 11050 11220 11232 11250 11385 11440 11450 11475 11500 11679 11700 11730 11880 11908 11934 11960 11968 12000 12144 12155 12240 12366 12375 12420 12480 12500 12512 12595 12650 12672 12750 12870 12903 13000 13156 13200 13248 13260 13455 13464 13500 13600 13662 13728 13740 13750 13800 14025 14040 14076 14144 14300 14352 14375 14400 14586 14625 14656 14688 14720 14850 14885 14950 14960 14976 15000 15114 15180 15249 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1571409450000 1626870960000 1728550395000 1772872200000 1843787088000 1920611550000 2004116400000 2033588700000 2095212600000 2127446640000 2160687993750 2304733860000 2514255120000 2560815400000 2659308300000 2711451600000 2765680632000 2880917325000 3006174600000 3072978480000 3142818900000 3457100790000 3545744400000 3841223100000 4067177400000 4190425200000 4321375987500 4609467720000 5121630800000 5318616600000 5531361264000 5761834650000 6012349200000 6285637800000 6914201580000 7682446200000 8134354800000 8642751975000 9218935440000 10637233200000 11523669300000 12571275600000 13828403160000 15364892400000 17285503950000 23047338600000 27656806320000 34571007900000 46094677200000 69142015800000 138284031600000
- Sum of all divisors σ(n): 665048434176000
- Sum of proper divisors (its aliquot sum) s(n): 526764402576000
- 138284031600000 is an abundant number, because the sum of its proper divisors (526764402576000) is greater than itself. Its abundance is 388480370976000
Bases of 138284031600000
- Binary: 111110111000100110000101001010011100101100000002
- Hexadecimal: 0x7DC4C294E580
- Base-36: 1D0MT20YO0
Squares and roots of 138284031600000
- 138284031600000 squared (1382840316000002) is 19122473395549798560000000000
- 138284031600000 cubed (1382840316000003) is 2644332715300367643444674496000000000000000
-
The
square root of 138284031600000 is 11759423.0980945659 -
The
cube root of 138284031600000 is 51711.9217469039
Scales and comparisons
How big is 138284031600000?- 138,284,031,600,000 seconds is equal to 4,397,004 years, 24 weeks, 1 day.
-
To count from 1 to 138,284,031,600,000 would take you about ten million, nine hundred ninety-two thousand, five hundred eleven 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 138284031600000 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138284031600000
- 138284031600000 backwards is 000006130482831
- 138284031600000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138284031600000's digits is 36
- More coming soon!
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"Number 138284031600000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 138284031600000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138284031600000/
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The information we have on file for 138284031600000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138284031600000, math, Factors of 138284031600000, curriculum, school, college, exams, university, Prime factorization of 138284031600000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred eighty-four billion, thirty-one million, six hundred thousand.