12315348864000
12,315,348,864,000 is an even composite number composed of seven prime numbers multiplied together.
12315348864000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 12315348864000:
210 × 35 × 53 × 7 × 13 × 19 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 19 × 229)See below for interesting mathematical facts about the number 12315348864000 from the Numbermatics database.
Names of 12315348864000
- Cardinal: 12315348864000 can be written as Twelve trillion, three hundred fifteen billion, three hundred forty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.2315348864 × 1013
Factors of 12315348864000
Divisors of 12315348864000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25 26 27 28 30 32 35 36 38 39 40 42 45 48 50 52 54 56 57 60 63 64 65 70 72 75 76 78 80 81 84 90 91 95 96 100 104 105 108 112 114 117 120 125 126 128 130 133 135 140 144 150 152 156 160 162 168 171 175 180 182 189 190 192 195 200 208 210 216 224 225 228 229 234 240 243 247 250 252 256 260 266 270 273 280 285 288 300 304 312 315 320 324 325 336 342 350 351 360 364 375 378 380 384 390 399 400 405 416 420 432 448 450 455 456 458 468 475 480 486 494 500 504 512 513 520 525 532 540 546 560 567 570 576 585 600 608 624 630 640 648 650 665 672 675 684 687 700 702 720 728 741 750 756 760 768 780 798 800 810 819 832 840 855 864 875 896 900 910 912 916 936 945 950 960 972 975 988 1000 1008 1024 1026 1040 1050 1053 1064 1080 1092 1120 1125 1134 1140 1145 1152 1170 1197 1200 1215 1216 1235 1248 1260 1280 1296 1300 1330 1344 1350 1365 1368 1374 1400 1404 1425 1440 1456 1482 1500 1512 1520 1536 1539 1560 1575 1596 1600 1603 1620 1625 1638 1664 1680 1701 1710 1728 1729 1750 1755 1792 1800 1820 1824 1832 1872 1890 1900 1920 1944 1950 1976 1995 2000 2016 2025 2052 2061 2080 2100 2106 2128 2160 2184 2223 2240 2250 2268 2275 2280 2290 2304 2340 2375 2394 2400 2430 2432 2457 2470 2496 2520 2560 2565 2592 2600 2625 2660 2688 2700 2730 2736 2748 2800 2808 2835 2850 2880 2912 2925 2964 2977 3000 3024 3040 3072 3078 3120 3150 3159 3192 3200 3206 3240 3250 3276 3325 3328 3360 3375 3402 3420 3435 3456 3458 3500 3510 3584 3591 3600 3640 3648 3664 3705 3744 3780 3800 3840 3888 3900 3952 3990 4000 4032 4050 4095 4104 4122 4160 4200 4212 4256 4275 4320 4351 4368 4446 4480 4500 4536 4550 4560 4580 4608 4617 4680 4725 4750 4788 4800 4809 4860 4864 4875 4914 4940 4992 5040 5120 5130 5184 5187 5200 5250 5265 5320 5376 5400 5460 5472 5496 5600 5616 5670 5700 5725 5760 5824 5850 5928 5954 5985 6000 6048 6075 6080 6156 6175 6183 6240 6300 6318 6384 6400 6412 6480 6500 6552 6650 6656 6669 6720 6750 6804 6825 6840 6870 6912 6916 7000 7020 7125 7168 7182 7200 7280 7296 7328 7371 7410 7488 7560 7600 7680 7695 7776 7800 7875 7904 7980 8000 8015 8064 8100 8190 8208 8244 8320 8400 8424 8505 8512 8550 8640 8645 8702 8736 8775 8892 8931 8960 9000 9072 9100 9120 9160 9216 9234 9360 9450 9500 9576 9600 9618 9720 9728 9750 9828 9880 9975 9984 10080 10125 10260 10305 10368 10374 10400 10500 10530 10640 10752 10773 10800 10920 10944 10992 11115 11200 11232 11340 11375 11400 11450 11520 11648 11700 11856 11908 11970 12000 12096 12150 12160 12285 12312 12350 12366 12480 12600 12636 12768 12800 12824 12825 12960 13000 13053 13104 13300 13312 13338 13440 13500 13608 13650 13680 13740 13824 13832 14000 14040 14175 14250 14364 14400 14427 14560 14592 14625 14656 14742 14820 14885 14976 15120 15200 15360 15390 15552 15561 15600 15750 15795 15808 15960 16000 16030 16128 16200 16380 16416 16488 16625 16640 16800 16848 17010 17024 17100 17175 17280 17290 17404 17472 17550 17784 17862 17920 17955 18000 18144 18200 18240 18320 18468 18525 18549 18720 18900 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6157674432000 12315348864000
- Sum of all divisors σ(n): 59885224089600
- Sum of proper divisors (its aliquot sum) s(n): 47569875225600
- 12315348864000 is an abundant number, because the sum of its proper divisors (47569875225600) is greater than itself. Its abundance is 35254526361600
Bases of 12315348864000
- Binary: 101100110011011000111111111010001100000000002
- Hexadecimal: 0xB3363FE8C00
- Base-36: 4D5LCQO00
Squares and roots of 12315348864000
- 12315348864000 squared (123153488640002) is 151667817642026090496000000
- 12315348864000 cubed (123153488640003) is 1867842085703085172248274796544000000000
-
The
square root of 12315348864000 is 3509323.1347369539 -
The
cube root of 12315348864000 is 23093.1001824865
Scales and comparisons
How big is 12315348864000?- 12,315,348,864,000 seconds is equal to 391,590 years.
-
To count from 1 to 12,315,348,864,000 would take you about nine hundred seventy-eight thousand, nine hundred seventy-five 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 12315348864000 cubic inches would be around 1924.4 feet tall.
Recreational maths with 12315348864000
- 12315348864000 backwards is 00046884351321
- 12315348864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12315348864000's digits is 45
- More coming soon!
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Cite this page
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"Number 12315348864000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 12315348864000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/12315348864000/
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The information we have on file for 12315348864000 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 12315348864000, math, Factors of 12315348864000, curriculum, school, college, exams, university, Prime factorization of 12315348864000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, three hundred fifteen billion, three hundred forty-eight million, eight hundred sixty-four thousand.