12824008800
12,824,008,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 12824008800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
12824008800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12824008800:
25 × 3 × 52 × 23 × 29 × 8011
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 29 × 8011)See below for interesting mathematical facts about the number 12824008800 from the Numbermatics database.
Names of 12824008800
- Cardinal: 12824008800 can be written as Twelve billion, eight hundred twenty-four million, eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28240088 × 1010
Factors of 12824008800
Divisors of 12824008800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 32 40 46 48 50 58 60 69 75 80 87 92 96 100 115 116 120 138 145 150 160 174 184 200 230 232 240 276 290 300 345 348 368 400 435 460 464 480 552 575 580 600 667 690 696 725 736 800 870 920 928 1104 1150 1160 1200 1334 1380 1392 1450 1725 1740 1840 2001 2175 2208 2300 2320 2400 2668 2760 2784 2900 3335 3450 3480 3680 4002 4350 4600 4640 5336 5520 5800 6670 6900 6960 8004 8011 8700 9200 10005 10672 11040 11600 13340 13800 13920 16008 16022 16675 17400 18400 20010 21344 23200 24033 26680 27600 32016 32044 33350 34800 40020 40055 48066 50025 53360 55200 64032 64088 66700 69600 80040 80110 96132 100050 106720 120165 128176 133400 160080 160220 184253 192264 200100 200275 232319 240330 256352 266800 320160 320440 368506 384528 400200 400550 464638 480660 533600 552759 600825 640880 696957 737012 769056 800400 801100 921265 929276 961320 1105518 1161595 1201650 1281760 1393914 1474024 1600800 1602200 1842530 1858552 1922640 2211036 2323190 2403300 2763795 2787828 2948048 3204400 3484785 3685060 3717104 3845280 4422072 4606325 4646380 4806600 5343337 5527590 5575656 5807975 5896096 6408800 6969570 7370120 7434208 8844144 9212650 9292760 9613200 10686674 11055180 11151312 11615950 13818975 13939140 14740240 16030011 17423925 17688288 18425300 18585520 19226400 21373348 22110360 22302624 23231900 26716685 27637950 27878280 29480480 32060022 34847850 36850600 37171040 42746696 44220720 46463800 53433370 55275900 55756560 64120044 69695700 73701200 80150055 85493392 88441440 92927600 106866740 110551800 111513120 128240088 133583425 139391400 147402400 160300110 170986784 185855200 213733480 221103600 256480176 267166850 278782800 320600220 400750275 427466960 442207200 512960352 534333700 557565600 641200440 801500550 854933920 1068667400 1282400880 1603001100 2137334800 2564801760 3206002200 4274669600 6412004400 12824008800
- Sum of all divisors σ(n): 45064615680
- Sum of proper divisors (its aliquot sum) s(n): 32240606880
- 12824008800 is an abundant number, because the sum of its proper divisors (32240606880) is greater than itself. Its abundance is 19416598080
Bases of 12824008800
- Binary: 10111111000101111011011000011000002
- Hexadecimal: 0x2FC5ED860
- Base-36: 5W330IO
Squares and roots of 12824008800
- 12824008800 squared (128240088002) is 164455201702477440000
- 12824008800 cubed (128240088003) is 2108974953838345672361472000000
-
The
square root of 12824008800 is 113243.1401895939 -
The
cube root of 12824008800 is 2340.6758220353
Scales and comparisons
How big is 12824008800?- 12,824,008,800 seconds is equal to 407 years, 39 weeks, 5 days, 40 minutes.
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To count from 1 to 12,824,008,800 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 12824008800 cubic inches would be around 195.1 feet tall.
Recreational maths with 12824008800
- 12824008800 backwards is 00880042821
- The number of decimal digits it has is: 11
- The sum of 12824008800's digits is 33
- More coming soon!
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