138326847120000
138,326,847,120,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138326847120000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 7680 divisors.
138326847120000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven thousand, six hundred eighty divisors.
Prime factorization of 138326847120000:
27 × 33 × 54 × 72 × 11 × 17 × 29 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 17 × 29 × 241)See below for interesting mathematical facts about the number 138326847120000 from the Numbermatics database.
Names of 138326847120000
- Cardinal: 138326847120000 can be written as One hundred thirty-eight trillion, three hundred twenty-six billion, eight hundred forty-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3832684712 × 1014
Factors of 138326847120000
Divisors of 138326847120000
- Number of divisors d(n): 7680
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 25 27 28 29 30 32 33 34 35 36 40 42 44 45 48 49 50 51 54 55 56 58 60 63 64 66 68 70 72 75 77 80 84 85 87 88 90 96 98 99 100 102 105 108 110 112 116 119 120 125 126 128 132 135 136 140 144 145 147 150 153 154 160 165 168 170 174 175 176 180 187 189 192 196 198 200 203 204 210 216 220 224 225 231 232 238 240 241 245 250 252 255 261 264 270 272 275 280 288 290 294 297 300 306 308 315 319 320 330 336 340 348 350 352 357 360 374 375 378 384 385 392 396 400 406 408 420 425 432 435 440 441 448 450 459 462 464 476 480 482 490 493 495 500 504 510 522 525 528 539 540 544 550 560 561 576 580 588 594 595 600 609 612 616 625 630 638 640 660 672 675 680 693 696 700 704 714 720 723 725 735 748 750 756 765 770 783 784 792 800 812 816 825 833 840 850 864 870 875 880 882 896 900 918 924 928 935 945 952 957 960 964 980 986 990 1000 1008 1015 1020 1044 1050 1056 1071 1078 1080 1088 1100 1120 1122 1125 1152 1155 1160 1176 1188 1190 1200 1205 1218 1224 1225 1232 1250 1260 1275 1276 1305 1309 1320 1323 1344 1350 1360 1375 1386 1392 1400 1408 1421 1428 1440 1446 1450 1470 1479 1485 1496 1500 1512 1530 1540 1566 1568 1575 1584 1595 1600 1617 1624 1632 1650 1666 1680 1683 1687 1700 1728 1740 1750 1760 1764 1785 1800 1827 1836 1848 1856 1870 1875 1890 1904 1914 1920 1925 1928 1960 1972 1980 2000 2016 2030 2040 2079 2088 2100 2112 2125 2142 2156 2160 2169 2175 2176 2200 2205 2233 2240 2244 2250 2295 2310 2320 2352 2376 2380 2400 2410 2436 2448 2450 2464 2465 2475 2499 2500 2520 2550 2552 2610 2618 2625 2640 2646 2651 2688 2695 2700 2720 2750 2772 2784 2800 2805 2842 2856 2871 2880 2892 2900 2940 2958 2970 2975 2992 3000 3024 3045 3060 3080 3132 3136 3150 3168 3190 3200 3213 3234 3248 3264 3300 3332 3360 3366 3374 3375 3400 3451 3456 3465 3480 3500 3520 3528 3570 3600 3615 3625 3654 3672 3675 3696 3712 3740 3750 3780 3808 3825 3828 3850 3856 3915 3920 3927 3944 3960 4000 4032 4060 4080 4097 4125 4158 4165 4176 4200 4224 4250 4263 4284 4312 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1356145560000 1383268471200 1397240880000 1411498440000 1440904657500 1536964968000 1571895990000 1589963760000 1627374672000 1646748180000 1729085589000 1796452560000 1844357961600 1921206210000 1976097816000 2034218340000 2095861320000 2161356986250 2195664240000 2305447452000 2384945640000 2470122270000 2515033584000 2561608280000 2712291120000 2766536942400 2822996880000 2881809315000 3073929936000 3143791980000 3293496360000 3458171178000 3842412420000 3952195632000 4068436680000 4191722640000 4322713972500 4610894904000 4769891280000 4940244540000 5123216560000 5533073884800 5763618630000 6287583960000 6586992720000 6916342356000 7684824840000 8136873360000 8645427945000 9221789808000 9880489080000 11527237260000 12575167920000 13832684712000 15369649680000 17290855890000 19760978160000 23054474520000 27665369424000 34581711780000 46108949040000 69163423560000 138326847120000
- Sum of all divisors σ(n): 712059742944000
- Sum of proper divisors (its aliquot sum) s(n): 573732895824000
- 138326847120000 is an abundant number, because the sum of its proper divisors (573732895824000) is greater than itself. Its abundance is 435406048704000
Bases of 138326847120000
- Binary: 111110111001110101110101001010111100010100000002
- Hexadecimal: 0x7DCEBA95E280
- Base-36: 1D16H5A5C0
Squares and roots of 138326847120000
- 138326847120000 squared (1383268471200002) is 19134316634159852294400000000
- 138326847120000 cubed (1383268471200003) is 2646789691799102857969250032128000000000000
-
The
square root of 138326847120000 is 11761243.4342632327 -
The
cube root of 138326847120000 is 51717.2582135137
Scales and comparisons
How big is 138326847120000?- 138,326,847,120,000 seconds is equal to 4,398,365 years, 45 weeks.
-
To count from 1 to 138,326,847,120,000 would take you about ten million, nine hundred ninety-five thousand, nine hundred fourteen 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 138326847120000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138326847120000
- 138326847120000 backwards is 000021748623831
- 138326847120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138326847120000's digits is 45
- More coming soon!
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"Number 138326847120000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138326847120000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138326847120000/
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The information we have on file for 138326847120000 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!
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