13824083520
13,824,083,520 is an even composite number composed of six prime numbers multiplied together.
13824083520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13824083520:
26 × 32 × 5 × 13 × 61 × 6053
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 61 × 6053)See below for interesting mathematical facts about the number 13824083520 from the Numbermatics database.
Names of 13824083520
- Cardinal: 13824083520 can be written as Thirteen billion, eight hundred twenty-four million, eighty-three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.382408352 × 1010
Factors of 13824083520
Divisors of 13824083520
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 61 64 65 72 78 80 90 96 104 117 120 122 130 144 156 160 180 183 192 195 208 234 240 244 260 288 305 312 320 360 366 390 416 468 480 488 520 549 576 585 610 624 720 732 780 793 832 915 936 960 976 1040 1098 1170 1220 1248 1440 1464 1560 1586 1830 1872 1952 2080 2196 2340 2379 2440 2496 2745 2880 2928 3120 3172 3660 3744 3904 3965 4160 4392 4680 4758 4880 5490 5856 6053 6240 6344 7137 7320 7488 7930 8784 9360 9516 9760 10980 11712 11895 12106 12480 12688 14274 14640 15860 17568 18159 18720 19032 19520 21960 23790 24212 25376 28548 29280 30265 31720 35136 35685 36318 37440 38064 43920 47580 48424 50752 54477 57096 58560 60530 63440 71370 72636 76128 78689 87840 90795 95160 96848 108954 114192 121060 126880 142740 145272 152256 157378 175680 181590 190320 193696 217908 228384 236067 242120 253760 272385 285480 290544 314756 363180 369233 380640 387392 393445 435816 456768 472134 484240 544770 570960 581088 629512 708201 726360 738466 761280 786890 871632 944268 968480 1089540 1107699 1141920 1162176 1180335 1259024 1416402 1452720 1476932 1573780 1743264 1846165 1888536 1936960 2179080 2215398 2283840 2360670 2518048 2832804 2905440 2953864 3147560 3323097 3486528 3541005 3692330 3777072 4358160 4430796 4721340 4800029 5036096 5538495 5665608 5810880 5907728 6295120 6646194 7082010 7384660 7554144 8716320 8861592 9442680 9600058 11076990 11331216 11815456 12590240 13292388 14164020 14400087 14769320 15108288 16615485 17432640 17723184 18885360 19200116 22153980 22662432 23630912 24000145 25180480 26584776 28328040 28800174 29538640 33230970 35446368 37770720 38400232 43200261 44307960 45324864 48000290 53169552 56656080 57600348 59077280 66461940 70892736 72000435 75541440 76800464 86400522 88615920 96000580 106339104 113312160 115200696 118154560 132923880 144000870 153600928 172801044 177231840 192001160 212678208 216001305 226624320 230401392 265847760 288001740 307201856 345602088 354463680 384002320 432002610 460802784 531695520 576003480 691204176 768004640 864005220 921605568 1063391040 1152006960 1382408352 1536009280 1728010440 2304013920 2764816704 3456020880 4608027840 6912041760 13824083520
- Sum of all divisors σ(n): 52054762032
- Sum of proper divisors (its aliquot sum) s(n): 38230678512
- 13824083520 is an abundant number, because the sum of its proper divisors (38230678512) is greater than itself. Its abundance is 24406594992
Bases of 13824083520
- Binary: 11001101111111101011000110010000002
- Hexadecimal: 0x337FAC640
- Base-36: 6CMI340
Squares and roots of 13824083520
- 13824083520 squared (138240835202) is 191105285167935590400
- 13824083520 cubed (138240835203) is 2641855423274958827670110208000
-
The
square root of 13824083520 is 117575.8628290687 -
The
cube root of 13824083520 is 2400.0048333235
Scales and comparisons
How big is 13824083520?- 13,824,083,520 seconds is equal to 439 years, 29 weeks, 1 day, 23 hours, 12 minutes.
-
To count from 1 to 13,824,083,520 would take you about eight hundred seventy-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 13824083520 cubic inches would be around 200 feet tall.
Recreational maths with 13824083520
- 13824083520 backwards is 02538042831
- 13824083520 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13824083520's digits is 36
- More coming soon!
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