13683575980800
13,683,575,980,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13683575980800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2430 divisors.
13683575980800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 13683575980800:
28 × 34 × 52 × 112 × 312 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 31 × 31 × 227)See below for interesting mathematical facts about the number 13683575980800 from the Numbermatics database.
Names of 13683575980800
- Cardinal: 13683575980800 can be written as Thirteen trillion, six hundred eighty-three billion, five hundred seventy-five million, nine hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36835759808 × 1013
Factors of 13683575980800
Divisors of 13683575980800
- Number of divisors d(n): 2430
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 40 44 45 48 50 54 55 60 62 64 66 72 75 80 81 88 90 93 96 99 100 108 110 120 121 124 128 132 135 144 150 155 160 162 165 176 180 186 192 198 200 216 220 225 227 240 242 248 256 264 270 275 279 288 297 300 310 320 324 330 341 352 360 363 372 384 396 400 405 432 440 450 454 465 480 484 495 496 528 540 550 558 576 594 600 605 620 640 648 660 675 681 682 704 720 726 744 768 775 792 800 810 825 837 864 880 891 900 908 930 960 961 968 990 992 1023 1056 1080 1089 1100 1116 1135 1152 1188 1200 1210 1240 1280 1296 1320 1350 1362 1364 1395 1408 1440 1452 1485 1488 1550 1584 1600 1620 1650 1674 1705 1728 1760 1782 1800 1815 1816 1860 1920 1922 1936 1980 1984 2025 2043 2046 2112 2160 2178 2200 2232 2270 2304 2325 2376 2400 2420 2475 2480 2497 2511 2592 2640 2700 2724 2728 2790 2816 2880 2883 2904 2970 2976 3025 3069 3100 3168 3200 3240 3267 3300 3348 3405 3410 3456 3520 3564 3600 3630 3632 3720 3751 3840 3844 3872 3960 3968 4050 4086 4092 4185 4224 4320 4356 4400 4455 4464 4540 4650 4752 4800 4805 4840 4950 4960 4994 5022 5115 5184 5280 5400 5445 5448 5456 5580 5675 5760 5766 5808 5940 5952 6050 6129 6138 6200 6336 6400 6480 6534 6600 6696 6810 6820 6912 6975 7037 7040 7128 7200 7260 7264 7425 7440 7491 7502 7688 7744 7920 7936 8100 8172 8184 8370 8448 8525 8640 8649 8712 8800 8910 8928 9075 9080 9207 9300 9504 9600 9610 9680 9801 9900 9920 9988 10044 10215 10230 10368 10560 10571 10800 10890 10896 10912 11160 11253 11350 11520 11532 11616 11880 11904 12100 12258 12276 12400 12485 12555 12672 12960 13068 13200 13392 13620 13640 13950 14074 14080 14256 14400 14415 14520 14528 14850 14880 14982 15004 15345 15376 15488 15840 16200 16335 16344 16368 16740 17025 17050 17280 17298 17424 17600 17820 17856 18150 18160 18387 18414 18600 18755 19008 19200 19220 19360 19602 19800 19840 19976 20088 20430 20460 20736 20925 21111 21120 21142 21600 21780 21792 21824 22275 22320 22473 22506 22700 23064 23232 23760 23808 24025 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114029799840 124396145280 126699777600 136835759808 138217939200 142537249800 147135225600 152039733120 155495181600 168933036800 171044699760 182447679744 190049666400 207326908800 213805874700 220702838400 228059599680 248792290560 253399555200 273671519616 285074499600 304079466240 310990363200 342089399520 380099332800 414653817600 427611749400 441405676800 456119199360 506799110400 547343039232 570148999200 621980726400 684178799040 760198665600 855223498800 912238398720 1140297998400 1243961452800 1368357598080 1520397331200 1710446997600 2280595996800 2736715196160 3420893995200 4561191993600 6841787990400 13683575980800
- Sum of all divisors σ(n): 57716993540052
- Sum of proper divisors (its aliquot sum) s(n): 44033417559252
- 13683575980800 is an abundant number, because the sum of its proper divisors (44033417559252) is greater than itself. Its abundance is 30349841578452
Bases of 13683575980800
- Binary: 110001110001111101001010111110000011000000002
- Hexadecimal: 0xC71F4AF8300
- Base-36: 4UM5BU800
Squares and roots of 13683575980800
- 13683575980800 squared (136835759808002) is 187240251622326681968640000
- 13683575980800 cubed (136835759808003) is 2562116209738217618397042762842112000000
-
The
square root of 13683575980800 is 3699131.7874333701 -
The
cube root of 13683575980800 is 23918.4593773651
Scales and comparisons
How big is 13683575980800?- 13,683,575,980,800 seconds is equal to 435,095 years, 20 weeks, 2 days.
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To count from 1 to 13,683,575,980,800 would take you about one million, eighty-seven thousand, seven hundred thirty-eight 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 13683575980800 cubic inches would be around 1993.2 feet tall.
Recreational maths with 13683575980800
- 13683575980800 backwards is 00808957538631
- The number of decimal digits it has is: 14
- The sum of 13683575980800's digits is 63
- More coming soon!
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The information we have on file for 13683575980800 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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