13829125373952000
13,829,125,373,952,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13829125373952000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
13829125373952000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13829125373952000:
219 × 3 × 53 × 72 × 89 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 89 × 127 × 127)See below for interesting mathematical facts about the number 13829125373952000 from the Numbermatics database.
Names of 13829125373952000
- Cardinal: 13829125373952000 can be written as Thirteen quadrillion, eight hundred twenty-nine trillion, one hundred twenty-five billion, three hundred seventy-three million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3829125373952 × 1016
Factors of 13829125373952000
Divisors of 13829125373952000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 89 96 98 100 105 112 120 125 127 128 140 147 150 160 168 175 178 192 196 200 210 224 240 245 250 254 256 267 280 294 300 320 336 350 356 375 381 384 392 400 420 445 448 480 490 500 508 512 525 534 560 588 600 623 635 640 672 700 712 735 750 762 768 784 800 840 875 889 890 896 960 980 1000 1016 1024 1050 1068 1120 1176 1200 1225 1246 1270 1280 1335 1344 1400 1424 1470 1500 1524 1536 1568 1600 1680 1750 1778 1780 1792 1869 1905 1920 1960 2000 2032 2048 2100 2136 2225 2240 2352 2400 2450 2492 2540 2560 2625 2667 2670 2688 2800 2848 2940 3000 3048 3072 3115 3136 3175 3200 3360 3500 3556 3560 3584 3675 3738 3810 3840 3920 4000 4064 4096 4200 4272 4361 4445 4450 4480 4704 4800 4900 4984 5080 5120 5250 5334 5340 5376 5600 5696 5880 6000 6096 6125 6144 6223 6230 6272 6350 6400 6675 6720 7000 7112 7120 7168 7350 7476 7620 7680 7840 8000 8128 8192 8400 8544 8722 8890 8900 8960 9345 9408 9525 9600 9800 9968 10160 10240 10500 10668 10680 10752 11125 11200 11303 11392 11760 12000 12192 12250 12288 12446 12460 12544 12700 12800 13083 13335 13350 13440 14000 14224 14240 14336 14700 14952 15240 15360 15575 15680 15875 16000 16129 16256 16384 16800 17088 17444 17780 17800 17920 18375 18669 18690 18816 19050 19200 19600 19936 20320 20480 21000 21336 21360 21504 21805 22225 22250 22400 22606 22784 23520 24000 24384 24500 24576 24892 24920 25088 25400 25600 26166 26670 26700 26880 28000 28448 28480 28672 29400 29904 30480 30720 31115 31150 31360 31750 32000 32258 32512 32768 33375 33600 33909 34176 34888 35560 35600 35840 36750 37338 37380 37632 38100 38400 39200 39872 40640 40960 42000 42672 42720 43008 43610 44450 44500 44800 45212 45568 46725 47040 47625 48000 48387 48768 49000 49152 49784 49840 50176 50800 51200 52332 53340 53400 53760 56000 56515 56896 56960 57344 58800 59808 60960 61440 62230 62300 62720 63500 64000 64516 65024 65415 65536 66675 66750 67200 67818 68352 69776 71120 71200 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1125417104000 1128908193792 1134278656000 1152427114496 1175946035200 1213933056000 1223491584000 1234743336960 1243067449344 1286190976000 1294861926400 1296318464000 1317059559424 1350500524800 1361134387200 1387352064000 1411135242240 1440533893120 1451876679680 1469932544000 1479842201600 1543429171200 1553834311680 1555582156800 1585545216000 1618577408000 1646324449280 1688125656000 1701417984000 1728640671744 1763919052800 1800667366400 1814845849600 1849802752000 1881513656320 1929286464000 1942292889600 1944477696000 1975589339136 2057905561600 2071779082240 2160800839680 2177815019520 2204898816000 2219763302400 2222260224000 2250834208000 2257816387584 2268557312000 2304854228992 2351892070400 2427866112000 2469486673920 2572381952000 2589723852800 2592636928000 2634119118848 2701001049600 2722268774400 2774704128000 2822270484480 2881067786240 2939865088000 3086858342400 3107668623360 3111164313600 3171090432000 3237154816000 3292648898560 3376251312000 3402835968000 3457281343488 3527838105600 3601334732800 3629691699200 3699605504000 3763027312640 3858572928000 3884585779200 3888955392000 3951178678272 4115811123200 4321601679360 4355630039040 4409797632000 4439526604800 4501668416000 4537114624000 4609708457984 4703784140800 4855732224000 4938973347840 5144763904000 5179447705600 5185273856000 5268238237696 5402002099200 5444537548800 5549408256000 5644540968960 5762135572480 5879730176000 6173716684800 6215337246720 6474309632000 6585297797120 6752502624000 6805671936000 6914562686976 7055676211200 7202669465600 7259383398400 7399211008000 7717145856000 7769171558400 7777910784000 7902357356544 8231622246400 8643203358720 8819595264000 9003336832000 9074229248000 9219416915968 9407568281600 9711464448000 9877946695680 10289527808000 10358895411200 10804004198400 10889075097600 11098816512000 11289081937920 11524271144960 11759460352000 12347433369600 12948619264000 13170595594240 13505005248000 13611343872000 13829125373952 14111352422400 14405338931200 15434291712000 15538343116800 15555821568000 15804714713088 16463244492800 17286406717440 17639190528000 18006673664000 18148458496000 18438833831936 18815136563200 19422928896000 19755893391360 20579055616000 21608008396800 21778150195200 22197633024000 23048542289920 23518920704000 24694866739200 25897238528000 26341191188480 27010010496000 27222687744000 27658250747904 28222704844800 28810677862400 30868583424000 31076686233600 32926488985600 34572813434880 35278381056000 36013347328000 36296916992000 36877667663872 38845857792000 39511786782720 41158111232000 43216016793600 46097084579840 47037841408000 49389733478400 51794477056000 54020020992000 54445375488000 55316501495808 56445409689600 57621355724800 61737166848000 65852977971200 69145626869760 70556762112000 72026694656000 77691715584000 79023573565440 82316222464000 86432033587200 92194169159680 94075682816000 98779466956800 108040041984000 108890750976000 110633002991616 115242711449600 123474333696000 131705955942400 138291253739520 141113524224000 144053389312000 155383431168000 164632444928000 172864067174400 184388338319360 197558933913600 216080083968000 230485422899200 246948667392000 276582507479040 282227048448000 288106778624000 329264889856000 345728134348800 395117867827200 432160167936000 460970845798400 493897334784000 553165014958080 576213557248000 658529779712000 691456268697600 864320335872000 921941691596800 987794669568000 1152427114496000 1382912537395200 1728640671744000 1975589339136000 2304854228992000 2765825074790400 3457281343488000 4609708457984000 6914562686976000 13829125373952000
- Sum of all divisors σ(n): 54568480365828000
- Sum of proper divisors (its aliquot sum) s(n): 40739354991876000
- 13829125373952000 is an abundant number, because the sum of its proper divisors (40739354991876000) is greater than itself. Its abundance is 26910229617924000
Bases of 13829125373952000
- Binary: 1100010010000110000100001010010111100000000000000000002
- Hexadecimal: 0x31218429780000
- Base-36: 3S60KHQ7QIO
Squares and roots of 13829125373952000
- 13829125373952000 squared (138291253739520002) is 191244708608483043840098304000000
- 13829125373952000 cubed (138291253739520003) is 2644747052451629347204650668396440977408000000000
-
The
square root of 13829125373952000 is 117597301.7290447867 -
The
cube root of 13829125373952000 is 240029.6570639819
Scales and comparisons
How big is 13829125373952000?- 13,829,125,373,952,000 seconds is equal to 439,723,410 years, 31 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,829,125,373,952,000 would take you about one billion, three hundred nineteen million, one hundred seventy thousand, two hundred thirty-one 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 13829125373952000 cubic inches would be around 20002.5 feet tall.
Recreational maths with 13829125373952000
- 13829125373952000 backwards is 00025937352192831
- 13829125373952000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13829125373952000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 13829125373952000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13829125373952000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13829125373952000/
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The information we have on file for 13829125373952000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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