13918332384000
13,918,332,384,000 is an even composite number composed of seven prime numbers multiplied together.
13918332384000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13918332384000:
28 × 35 × 53 × 11 × 29 × 31 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 31 × 181)See below for interesting mathematical facts about the number 13918332384000 from the Numbermatics database.
Names of 13918332384000
- Cardinal: 13918332384000 can be written as Thirteen trillion, nine hundred eighteen billion, three hundred thirty-two million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3918332384 × 1013
Factors of 13918332384000
Divisors of 13918332384000
- Number of divisors d(n): 3456
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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 29 30 31 32 33 36 40 44 45 48 50 54 55 58 60 62 64 66 72 75 80 81 87 88 90 93 96 99 100 108 110 116 120 124 125 128 132 135 144 145 150 155 160 162 165 174 176 180 181 186 192 198 200 216 220 225 232 240 243 248 250 256 261 264 270 275 279 288 290 297 300 310 319 320 324 330 341 348 352 360 362 372 375 384 396 400 405 432 435 440 450 464 465 480 486 495 496 500 522 528 540 543 550 558 576 580 594 600 620 638 640 648 660 675 682 696 704 720 724 725 744 750 768 775 783 792 800 810 825 837 864 870 880 891 899 900 905 928 930 957 960 972 990 992 1000 1023 1044 1056 1080 1086 1100 1116 1125 1152 1160 1188 1200 1215 1240 1276 1280 1296 1305 1320 1350 1364 1375 1392 1395 1408 1440 1448 1450 1485 1488 1500 1550 1566 1584 1595 1600 1620 1629 1650 1674 1705 1728 1740 1760 1782 1798 1800 1810 1856 1860 1914 1920 1944 1980 1984 1991 2000 2025 2046 2088 2112 2160 2172 2175 2200 2232 2250 2304 2320 2325 2349 2376 2400 2430 2475 2480 2511 2552 2592 2610 2640 2673 2697 2700 2715 2728 2750 2784 2790 2816 2871 2880 2896 2900 2970 2976 3000 3069 3100 3132 3168 3190 3200 3240 3258 3300 3348 3375 3410 3456 3480 3520 3564 3596 3600 3620 3625 3712 3720 3828 3840 3875 3888 3915 3960 3968 3982 4000 4050 4092 4125 4176 4185 4224 4320 4344 4350 4400 4455 4464 4495 4500 4525 4640 4650 4698 4752 4785 4800 4860 4887 4950 4960 5022 5104 5115 5184 5220 5249 5280 5346 5394 5400 5430 5456 5500 5568 5580 5611 5742 5760 5792 5800 5940 5952 5973 6000 6075 6138 6200 6264 6336 6380 6400 6480 6516 6525 6600 6696 6750 6820 6912 6960 6975 7040 7047 7128 7192 7200 7240 7250 7424 7425 7440 7533 7656 7750 7776 7830 7920 7936 7964 7975 8000 8091 8100 8145 8184 8250 8352 8370 8448 8525 8613 8640 8688 8700 8800 8910 8928 8990 9000 9050 9207 9280 9300 9396 9504 9570 9600 9720 9774 9889 9900 9920 9955 10044 10125 10208 10230 10368 10440 10498 10560 10692 10788 10800 10860 10875 10912 11000 11136 11160 11222 11484 11520 11584 11600 11625 11745 11880 11904 11946 12000 12150 12276 12375 12400 12528 12555 12672 12760 12960 13032 13050 13200 13365 13392 13485 13500 13575 13640 13920 13950 14080 14094 14256 14355 14384 14400 14480 14500 14661 14850 14880 15066 15312 15345 15500 15552 15660 15747 15840 15928 15950 16000 16182 16200 16290 16368 16500 16704 16740 16833 17050 17226 17280 17376 17400 17600 17820 17856 17919 17980 18000 18100 18414 18560 18600 18792 19008 19140 19200 19440 19548 19575 19778 19800 19840 19910 20088 20250 20416 20460 20736 20880 20925 20996 21120 21384 21576 21600 21720 21750 21824 22000 22272 22275 22320 22444 22475 22625 22968 23168 23200 23250 23490 23760 23808 23892 23925 24000 24273 24300 24435 24552 24750 24800 25056 25110 25344 25520 25575 25839 25920 26064 26100 26245 26400 26730 26784 26970 27000 27150 27280 27621 27840 27900 28055 28188 28512 28710 28768 28800 28960 29000 29322 29667 29700 29760 29865 30132 30375 30624 30690 31000 31104 31320 31494 31680 31856 31900 32000 32364 32400 32580 32625 32736 33000 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5453892000 5542944000 5612230800 5623568640 5727708800 5799305160 5857884000 5925216000 5986379520 5999281200 6040942875 6185925504 6235812000 6326514720 6399233280 6408072000 6443672400 6590119500 6665868000 6802704000 6873250560 6959166192 6990624000 7015288500 7029460800 7159636000 7249131450 7271856000 7482974400 7499101500 7689686400 7732406880 7741008000 7810512000 7908143400 7999041600 8054590500 8163244800 8314416000 8435352960 8544096000 8591563200 8698957740 8726227200 8786826000 8887824000 8979569280 9278888256 9353718000 9372614400 9598849920 9612108000 9665508600 9885179250 9977299200 9998802000 10122423552 10204056000 10309875840 10544191200 10665388800 10739454000 10873697175 10907784000 11224461600 11455417600 11598610320 11715768000 11998562400 12081885750 12371851008 12471624000 12653029440 12816144000 12887344800 13180239000 13331736000 13605408000 13918332384 14030577000 14058921600 14319272000 14498262900 14543712000 14965948800 14998203000 15379372800 15464813760 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70294608000 72491314500 74829744000 76896864000 77324068800 79081434000 79990416000 84353529600 85915632000 86989577400 89795692800 92788882560 95988499200 96655086000 103098758400 105441912000 108736971750 111346659072 112244616000 115986103200 119985624000 126530294400 128873448000 139183323840 140589216000 144982629000 149659488000 154648137600 158162868000 159980832000 171831264000 173979154800 185577765120 193310172000 210883824000 217473943500 224489232000 231972206400 239971248000 253060588800 257746896000 278366647680 289965258000 309296275200 316325736000 347958309600 386620344000 421767648000 434947887000 448978464000 463944412800 479942496000 515493792000 556733295360 579930516000 632651472000 695916619200 773240688000 869895774000 927888825600 1159861032000 1265302944000 1391833238400 1546481376000 1739791548000 2319722064000 2783666476800 3479583096000 4639444128000 6959166192000 13918332384000
- Sum of all divisors σ(n): 60837414543360
- Sum of proper divisors (its aliquot sum) s(n): 46919082159360
- 13918332384000 is an abundant number, because the sum of its proper divisors (46919082159360) is greater than itself. Its abundance is 33000749775360
Bases of 13918332384000
- Binary: 110010101000100111010100000111110011000000002
- Hexadecimal: 0xCA89D41F300
- Base-36: 4XLZRQO00
Squares and roots of 13918332384000
- 13918332384000 squared (139183323840002) is 193719976351503123456000000
- 13918332384000 cubed (139183323840003) is 2696259020280840090274794799104000000000
-
The
square root of 13918332384000 is 3730728.1305396671 -
The
cube root of 13918332384000 is 24054.4667968265
Scales and comparisons
How big is 13918332384000?- 13,918,332,384,000 seconds is equal to 442,559 years, 47 weeks, 5 days.
-
To count from 1 to 13,918,332,384,000 would take you about one million, one hundred six thousand, three hundred ninety-nine 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 13918332384000 cubic inches would be around 2004.5 feet tall.
Recreational maths with 13918332384000
- 13918332384000 backwards is 00048323381931
- 13918332384000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13918332384000's digits is 45
- More coming soon!
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MLA style:
"Number 13918332384000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13918332384000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13918332384000/
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The information we have on file for 13918332384000 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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