13688064000
13,688,064,000 is an even composite number composed of five prime numbers multiplied together.
13688064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13688064000:
211 × 32 × 53 × 13 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 457)See below for interesting mathematical facts about the number 13688064000 from the Numbermatics database.
Names of 13688064000
- Cardinal: 13688064000 can be written as Thirteen billion, six hundred eighty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3688064 × 1010
Factors of 13688064000
Divisors of 13688064000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 457 468 480 500 512 520 576 585 600 624 640 650 720 750 768 780 800 832 900 914 936 960 975 1000 1024 1040 1125 1152 1170 1200 1248 1280 1300 1371 1440 1500 1536 1560 1600 1625 1664 1800 1828 1872 1920 1950 2000 2048 2080 2250 2285 2304 2340 2400 2496 2560 2600 2742 2880 2925 3000 3072 3120 3200 3250 3328 3600 3656 3744 3840 3900 4000 4113 4160 4500 4570 4608 4680 4800 4875 4992 5120 5200 5484 5760 5850 5941 6000 6144 6240 6400 6500 6656 6855 7200 7312 7488 7680 7800 8000 8226 8320 9000 9140 9216 9360 9600 9750 9984 10240 10400 10968 11425 11520 11700 11882 12000 12480 12800 13000 13312 13710 14400 14624 14625 14976 15360 15600 16000 16452 16640 17823 18000 18280 18432 18720 19200 19500 19968 20565 20800 21936 22850 23040 23400 23764 24000 24960 25600 26000 26624 27420 28800 29248 29250 29705 29952 30720 31200 32000 32904 33280 34275 35646 36000 36560 37440 38400 39000 39936 41130 41600 43872 45700 46080 46800 47528 48000 49920 51200 52000 53469 54840 57125 57600 58496 58500 59410 59904 62400 64000 65808 66560 68550 71292 72000 73120 74880 76800 78000 79872 82260 83200 87744 89115 91400 92160 93600 95056 96000 99840 102825 104000 106938 109680 114250 115200 116992 117000 118820 119808 124800 128000 131616 133120 137100 142584 144000 146240 148525 149760 153600 156000 164520 166400 171375 175488 178230 182800 187200 190112 192000 199680 205650 208000 213876 219360 228500 230400 233984 234000 237640 239616 249600 256000 263232 267345 274200 285168 288000 292480 297050 299520 312000 329040 332800 342750 350976 356460 365600 374400 380224 384000 399360 411300 416000 427752 438720 445575 457000 460800 467968 468000 475280 499200 514125 526464 534690 548400 570336 576000 584960 594100 599040 624000 658080 665600 685500 701952 712920 731200 742625 748800 760448 768000 822600 832000 855504 877440 891150 914000 935936 936000 950560 998400 1028250 1052928 1069380 1096800 1140672 1152000 1169920 1188200 1198080 1248000 1316160 1336725 1371000 1403904 1425840 1462400 1485250 1497600 1520896 1645200 1664000 1711008 1754880 1782300 1828000 1872000 1901120 1996800 2056500 2105856 2138760 2193600 2227875 2281344 2304000 2339840 2376400 2496000 2632320 2673450 2742000 2807808 2851680 2924800 2970500 2995200 3041792 3290400 3328000 3422016 3509760 3564600 3656000 3744000 3802240 4113000 4211712 4277520 4387200 4455750 4562688 4679680 4752800 4992000 5264640 5346900 5484000 5703360 5849600 5941000 5990400 6083584 6580800 6683625 6844032 7019520 7129200 7312000 7488000 7604480 8226000 8423424 8555040 8774400 8911500 9125376 9505600 9984000 10529280 10693800 10968000 11406720 11699200 11882000 12167168 13161600 13367250 13688064 14039040 14258400 14624000 14976000 15208960 16452000 17110080 17548800 17823000 18250752 19011200 21058560 21387600 21936000 22813440 23398400 23764000 26323200 26734500 27376128 28516800 29248000 29952000 30417920 32904000 34220160 35097600 35646000 36501504 38022400 42117120 42775200 43872000 45626880 47528000 52646400 53469000 54752256 57033600 58496000 60835840 65808000 68440320 70195200 71292000 76044800 85550400 87744000 91253760 95056000 105292800 106938000 109504512 114067200 116992000 131616000 136880640 142584000 152089600 171100800 175488000 182507520 190112000 210585600 213876000 228134400 263232000 273761280 285168000 304179200 342201600 350976000 380224000 427752000 456268800 526464000 547522560 570336000 684403200 760448000 855504000 912537600 1052928000 1140672000 1368806400 1520896000 1711008000 2281344000 2737612800 3422016000 4562688000 6844032000 13688064000
- Sum of all divisors σ(n): 53249479920
- Sum of proper divisors (its aliquot sum) s(n): 39561415920
- 13688064000 is an abundant number, because the sum of its proper divisors (39561415920) is greater than itself. Its abundance is 25873351920
Bases of 13688064000
- Binary: 11001011111101111101001000000000002
- Hexadecimal: 0x32FDF4800
- Base-36: 6ADIPS0
Squares and roots of 13688064000
- 13688064000 squared (136880640002) is 187363096068096000000
- 13688064000 cubed (136880640003) is 2564638050218246406144000000000
-
The
square root of 13688064000 is 116995.9999316215 -
The
cube root of 13688064000 is 2392.1074063545
Scales and comparisons
How big is 13688064000?- 13,688,064,000 seconds is equal to 435 years, 12 weeks, 2 days, 16 hours.
-
To count from 1 to 13,688,064,000 would take you about eight hundred seventy 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 13688064000 cubic inches would be around 199.3 feet tall.
Recreational maths with 13688064000
- 13688064000 backwards is 00046088631
- 13688064000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13688064000's digits is 36
- More coming soon!
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