12824640000
12,824,640,000 is an even composite number composed of five prime numbers multiplied together.
12824640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 12824640000:
29 × 32 × 54 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 61 × 73)See below for interesting mathematical facts about the number 12824640000 from the Numbermatics database.
Names of 12824640000
- Cardinal: 12824640000 can be written as Twelve billion, eight hundred twenty-four million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.282464 × 1010
Factors of 12824640000
Divisors of 12824640000
- Number of divisors d(n): 600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 61 64 72 73 75 80 90 96 100 120 122 125 128 144 146 150 160 180 183 192 200 219 225 240 244 250 256 288 292 300 305 320 360 365 366 375 384 400 438 450 480 488 500 512 549 576 584 600 610 625 640 657 720 730 732 750 768 800 876 900 915 960 976 1000 1095 1098 1125 1152 1168 1200 1220 1250 1280 1314 1440 1460 1464 1500 1525 1536 1600 1752 1800 1825 1830 1875 1920 1952 2000 2190 2196 2250 2304 2336 2400 2440 2500 2560 2628 2745 2880 2920 2928 3000 3050 3200 3285 3504 3600 3650 3660 3750 3840 3904 4000 4380 4392 4453 4500 4575 4608 4672 4800 4880 5000 5256 5475 5490 5625 5760 5840 5856 6000 6100 6400 6570 7008 7200 7300 7320 7500 7625 7680 7808 8000 8760 8784 8906 9000 9125 9150 9344 9600 9760 10000 10512 10950 10980 11250 11520 11680 11712 12000 12200 12800 13140 13359 13725 14016 14400 14600 14640 15000 15250 15616 16000 16425 17520 17568 17812 18000 18250 18300 18688 19200 19520 20000 21024 21900 21960 22265 22500 22875 23040 23360 23424 24000 24400 26280 26718 27375 27450 28032 28800 29200 29280 30000 30500 31232 32000 32850 35040 35136 35624 36000 36500 36600 37376 38125 38400 39040 40000 40077 42048 43800 43920 44530 45000 45625 45750 46720 46848 48000 48800 52560 53436 54750 54900 56064 57600 58400 58560 60000 61000 64000 65700 66795 68625 70080 70272 71248 72000 73000 73200 76250 78080 80000 80154 82125 84096 87600 87840 89060 90000 91250 91500 93440 93696 96000 97600 105120 106872 109500 109800 111325 112128 114375 115200 116800 117120 120000 122000 131400 133590 136875 137250 140160 140544 142496 144000 146000 146400 152500 156160 160000 160308 164250 168192 175200 175680 178120 180000 182500 183000 186880 192000 195200 200385 210240 213744 219000 219600 222650 228750 233600 234240 240000 244000 262800 267180 273750 274500 280320 281088 284992 288000 292000 292800 305000 320000 320616 328500 333975 336384 343125 350400 351360 356240 360000 365000 366000 390400 400770 410625 420480 427488 438000 439200 445300 457500 467200 468480 480000 488000 525600 534360 547500 549000 556625 560640 569984 576000 584000 585600 610000 641232 657000 667950 686250 700800 702720 712480 720000 730000 732000 780800 801540 821250 840960 854976 876000 878400 890600 915000 934400 960000 976000 1001925 1051200 1068720 1095000 1098000 1113250 1139968 1168000 1171200 1220000 1282464 1314000 1335900 1372500 1401600 1405440 1424960 1440000 1460000 1464000 1603080 1642500 1669875 1681920 1709952 1752000 1756800 1781200 1830000 1952000 2003850 2102400 2137440 2190000 2196000 2226500 2279936 2336000 2342400 2440000 2564928 2628000 2671800 2745000 2783125 2803200 2849920 2880000 2920000 2928000 3206160 3285000 3339750 3419904 3504000 3513600 3562400 3660000 3904000 4007700 4204800 4274880 4380000 4392000 4453000 4672000 4880000 5009625 5129856 5256000 5343600 5490000 5566250 5699840 5840000 5856000 6412320 6570000 6679500 6839808 7008000 7027200 7124800 7320000 8015400 8349375 8409600 8549760 8760000 8784000 8906000 9760000 10019250 10259712 10512000 10687200 10980000 11132500 11399680 11680000 11712000 12824640 13140000 13359000 14016000 14249600 14640000 16030800 16698750 17099520 17520000 17568000 17812000 19520000 20038500 20519424 21024000 21374400 21960000 22265000 23360000 25048125 25649280 26280000 26718000 28499200 29280000 32061600 33397500 34199040 35040000 35136000 35624000 40077000 42048000 42748800 43920000 44530000 50096250 51298560 52560000 53436000 56998400 58560000 64123200 66795000 70080000 71248000 80154000 85497600 87840000 89060000 100192500 102597120 105120000 106872000 128246400 133590000 142496000 160308000 170995200 175680000 178120000 200385000 210240000 213744000 256492800 267180000 284992000 320616000 356240000 400770000 427488000 512985600 534360000 641232000 712480000 801540000 854976000 1068720000 1282464000 1424960000 1603080000 2137440000 2564928000 3206160000 4274880000 6412320000 12824640000
- Sum of all divisors σ(n): 47653349172
- Sum of proper divisors (its aliquot sum) s(n): 34828709172
- 12824640000 is an abundant number, because the sum of its proper divisors (34828709172) is greater than itself. Its abundance is 22004069172
Bases of 12824640000
- Binary: 10111111000110100001111010000000002
- Hexadecimal: 0x2FC687A00
- Base-36: 5W3GJK0
Squares and roots of 12824640000
- 12824640000 squared (128246400002) is 164471391129600000000
- 12824640000 cubed (128246400003) is 2109286381536313344000000000000
-
The
square root of 12824640000 is 113245.9270790787 -
The
cube root of 12824640000 is 2340.7142242323
Scales and comparisons
How big is 12824640000?- 12,824,640,000 seconds is equal to 407 years, 40 weeks, 5 days, 8 hours.
-
To count from 1 to 12,824,640,000 would take you about eight hundred fifteen 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 12824640000 cubic inches would be around 195.1 feet tall.
Recreational maths with 12824640000
- 12824640000 backwards is 00004642821
- The number of decimal digits it has is: 11
- The sum of 12824640000's digits is 27
- More coming soon!
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