12806428800
12,806,428,800 is an even composite number composed of six prime numbers multiplied together.
12806428800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 12806428800:
27 × 3 × 52 × 11 × 173 × 701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 173 × 701)See below for interesting mathematical facts about the number 12806428800 from the Numbermatics database.
Names of 12806428800
- Cardinal: 12806428800 can be written as Twelve billion, eight hundred six million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28064288 × 1010
Factors of 12806428800
Divisors of 12806428800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 128 132 150 160 165 173 176 192 200 220 240 264 275 300 320 330 346 352 384 400 440 480 519 528 550 600 640 660 692 701 704 800 825 865 880 960 1038 1056 1100 1200 1320 1384 1402 1408 1600 1650 1730 1760 1903 1920 2076 2103 2112 2200 2400 2595 2640 2768 2804 3200 3300 3460 3505 3520 3806 4152 4206 4224 4325 4400 4800 5190 5280 5536 5608 5709 6600 6920 7010 7040 7612 7711 8304 8412 8650 8800 9515 9600 10380 10515 10560 11072 11216 11418 12975 13200 13840 14020 15224 15422 16608 16824 17300 17525 17600 19030 20760 21030 21120 22144 22432 22836 23133 25950 26400 27680 28040 28545 30448 30844 33216 33648 34600 35050 35200 38060 38555 41520 42060 44864 45672 46266 47575 51900 52575 52800 55360 56080 57090 60896 61688 66432 67296 69200 70100 76120 77110 83040 84120 89728 91344 92532 95150 103800 105150 105600 110720 112160 114180 115665 121273 121792 123376 134592 138400 140200 142725 152240 154220 166080 168240 182688 185064 190300 192775 207600 210300 224320 228360 231330 242546 243584 246752 269184 276800 280400 285450 304480 308440 332160 336480 363819 365376 370128 380600 385550 415200 420600 448640 456720 462660 485092 493504 553600 560800 570900 578325 606365 608960 616880 672960 727638 730752 740256 761200 771100 830400 841200 913440 925320 970184 987008 1121600 1141800 1156650 1212730 1217920 1233760 1334003 1345920 1455276 1480512 1522400 1542200 1660800 1682400 1819095 1826880 1850640 1940368 2243200 2283600 2313300 2425460 2467520 2668006 2910552 2961024 3031825 3044800 3084400 3364800 3638190 3653760 3701280 3880736 4002009 4567200 4626600 4850920 4935040 5336012 5821104 6063650 6089600 6168800 6670015 6729600 7276380 7402560 7761472 8004018 9095475 9134400 9253200 9701840 10672024 11642208 12127300 12337600 13340030 14552760 14805120 15522944 16008036 18190950 18268800 18506400 19403680 20010045 21344048 23284416 24254600 24675200 26680060 29105520 32016072 33350075 36381900 37012800 38807360 40020090 42688096 46568832 48509200 53360120 58211040 64032144 66700150 72763800 74025600 77614720 80040180 85376192 97018400 100050225 106720240 116422080 128064288 133400300 145527600 160080360 170752384 194036800 200100450 213440480 232844160 256128576 266800600 291055200 320160720 388073600 400200900 426880960 512257152 533601200 582110400 640321440 800401800 853761920 1067202400 1164220800 1280642880 1600803600 2134404800 2561285760 3201607200 4268809600 6403214400 12806428800
- Sum of all divisors σ(n): 46347837120
- Sum of proper divisors (its aliquot sum) s(n): 33541408320
- 12806428800 is an abundant number, because the sum of its proper divisors (33541408320) is greater than itself. Its abundance is 20734979520
Bases of 12806428800
- Binary: 10111110110101001010011000100000002
- Hexadecimal: 0x2FB529880
- Base-36: 5VSM7PC
Squares and roots of 12806428800
- 12806428800 squared (128064288002) is 164004618609469440000
- 12806428800 cubed (128064288003) is 2100313471093325389135872000000
-
The
square root of 12806428800 is 113165.4929737861 -
The
cube root of 12806428800 is 2339.6057484667
Scales and comparisons
How big is 12806428800?- 12,806,428,800 seconds is equal to 407 years, 10 weeks, 4 days, 13 hours, 20 minutes.
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To count from 1 to 12,806,428,800 would take you about eight hundred fourteen 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 12806428800 cubic inches would be around 195 feet tall.
Recreational maths with 12806428800
- 12806428800 backwards is 00882460821
- The number of decimal digits it has is: 11
- The sum of 12806428800's digits is 39
- More coming soon!
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