13642742836531200
13,642,742,836,531,200 is an even composite number composed of six prime numbers multiplied together.
13642742836531200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 13642742836531200:
212 × 3 × 52 × 7 × 109 × 58204417
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 109 × 58204417)See below for interesting mathematical facts about the number 13642742836531200 from the Numbermatics database.
Names of 13642742836531200
- Cardinal: 13642742836531200 can be written as Thirteen quadrillion, six hundred forty-two trillion, seven hundred forty-two billion, eight hundred thirty-six million, five hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.36427428365312 × 1016
Factors of 13642742836531200
Divisors of 13642742836531200
- Number of divisors d(n): 624
-
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 50 56 60 64 70 75 80 84 96 100 105 109 112 120 128 140 150 160 168 175 192 200 210 218 224 240 256 280 300 320 327 336 350 384 400 420 436 448 480 512 525 545 560 600 640 654 672 700 763 768 800 840 872 896 960 1024 1050 1090 1120 1200 1280 1308 1344 1400 1526 1536 1600 1635 1680 1744 1792 1920 2048 2100 2180 2240 2289 2400 2560 2616 2688 2725 2800 3052 3072 3200 3270 3360 3488 3584 3815 3840 4096 4200 4360 4480 4578 4800 5120 5232 5376 5450 5600 6104 6144 6400 6540 6720 6976 7168 7630 7680 8175 8400 8720 8960 9156 9600 10240 10464 10752 10900 11200 11445 12208 12288 12800 13080 13440 13952 14336 15260 15360 16350 16800 17440 17920 18312 19075 19200 20480 20928 21504 21800 22400 22890 24416 25600 26160 26880 27904 28672 30520 30720 32700 33600 34880 35840 36624 38150 38400 41856 43008 43600 44800 45780 48832 51200 52320 53760 55808 57225 61040 61440 65400 67200 69760 71680 73248 76300 76800 83712 86016 87200 89600 91560 97664 102400 104640 107520 111616 114450 122080 130800 134400 139520 143360 146496 152600 153600 167424 174400 179200 183120 195328 209280 215040 223232 228900 244160 261600 268800 279040 292992 305200 307200 334848 348800 358400 366240 390656 418560 430080 446464 457800 488320 523200 537600 558080 585984 610400 669696 697600 716800 732480 781312 837120 915600 976640 1046400 1075200 1116160 1171968 1220800 1339392 1395200 1464960 1562624 1674240 1831200 1953280 2092800 2150400 2232320 2343936 2441600 2790400 2929920 3125248 3348480 3662400 3906560 4185600 4687872 4883200 5580800 5859840 6696960 7324800 7813120 8371200 9375744 9766400 11161600 11719680 14649600 15626240 16742400 19532800 23439360 29299200 33484800 39065600 46878720 58204417 58598400 78131200 116408834 117196800 174613251 232817668 234393600 291022085 349226502 407430919 465635336 582044170 698453004 814861838 873066255 931270672 1164088340 1222292757 1396906008 1455110425 1629723676 1746132510 1862541344 2037154595 2328176680 2444585514 2793812016 2910220850 3259447352 3492265020 3725082688 4074309190 4365331275 4656353360 4889171028 5587624032 5820441700 6111463785 6344281453 6518894704 6984530040 7450165376 8148618380 8730662550 9312706720 9778342056 10185772975 11175248064 11640883400 12222927570 12688562906 13037789408 13969060080 14900330752 16297236760 17461325100 18625413440 19032844359 19556684112 20371545950 22350496128 23281766800 24445855140 25377125812 26075578816 27938120160 29800661504 30557318925 31721407265 32594473520 34922650200 37250826880 38065688718 39113368224 40743091900 44409970171 44700992256 46563533600 48891710280 50754251624 52151157632 55876240320 59601323008 61114637850 63442814530 65188947040 69845300400 74501653760 76131377436 78226736448 81486183800 88819940342 89401984512 93127067200 95164221795 97783420560 101508503248 104302315264 111752480640 119202646016 122229275700 126885629060 130377894080 133229910513 139690600800 149003307520 152262754872 156453472896 158607036325 162972367600 177639880684 178803969024 186254134400 190328443590 195566841120 203017006496 208604630528 222049850855 223504961280 238405292032 244458551400 253771258120 260755788160 266459821026 279381201600 298006615040 304525509744 312906945792 317214072650 325944735200 355279761368 357607938048 372508268800 380656887180 391133682240 406034012992 417209261056 444099701710 447009922560 475821108975 488917102800 507542516240 521511576320 532919642052 558762403200 596013230080 609051019488 625813891584 634428145300 651889470400 666149552565 710559522736 715215876096 745016537600 761313774360 782267364480 812068025984 834418522112 888199403420 894019845120 951642217950 977834205600 1015085032480 1043023152640 1065839284104 1110249254275 1117524806400 1192026460160 1218102038976 1251627783168 1268856290600 1303778940800 1332299105130 1421119045472 1490033075200 1522627548720 1564534728960 1624136051968 1668837044224 1776398806840 1788039690240 1903284435900 1955668411200 2030170064960 2086046305280 2131678568208 2220498508550 2235049612800 2436204077952 2503255566336 2537712581200 2607557881600 2664598210260 2842238090944 2980066150400 3045255097440 3129069457920 3248272103936 3330747762825 3552797613680 3576079380480 3806568871800 3911336822400 4060340129920 4172092610560 4263357136416 4440997017100 4470099225600 4872408155904 5006511132672 5075425162400 5215115763200 5329196420520 5684476181888 5960132300800 6090510194880 6258138915840 6496544207872 6661495525650 7105595227360 7613137743600 7822673644800 8120680259840 8344185221120 8526714272832 8881994034200 8940198451200 9744816311808 10150850324800 10430231526400 10658392841040 11368952363776 12181020389760 12516277831680 12993088415744 13322991051300 14211190454720 15226275487200 15645347289600 16241360519680 17053428545664 17763988068400 17880396902400 19489632623616 20301700649600 20860463052800 21316785682080 22737904727552 24362040779520 25032555663360 25986176831488 26645982102600 28422380909440 30452550974400 31290694579200 32482721039360 34106857091328 35527976136800 38979265247232 40603401299200 41720926105600 42633571364160 45475809455104 48724081559040 53291964205200 56844761818880 60905101948800 62581389158400 64965442078720 68213714182656 71055952273600 77958530494464 81206802598400 85267142728320 90951618910208 97448163118080 106583928410400 113689523637760 121810203897600 125162778316800 129930884157440 136427428365312 142111904547200 162413605196800 170534285456640 181903237820416 194896326236160 213167856820800 227379047275520 243620407795200 272854856730624 284223809094400 324827210393600 341068570913280 389792652472320 426335713641600 454758094551040 487240815590400 545709713461248 568447618188800 649654420787200 682137141826560 852671427283200 909516189102080 974481631180800 1136895236377600 1364274283653120 1705342854566400 1948963262361600 2273790472755200 2728548567306240 3410685709132800 4547580945510400 6821371418265600 13642742836531200
- Sum of all divisors σ(n): 52023220560882560
- Sum of proper divisors (its aliquot sum) s(n): 38380477724351360
- 13642742836531200 is an abundant number, because the sum of its proper divisors (38380477724351360) is greater than itself. Its abundance is 24737734887820160
Bases of 13642742836531200
- Binary: 1100000111100000000000100110001000100010010000000000002
- Hexadecimal: 0x30780098889000
- Base-36: 3QBY5JBOT1C
Squares and roots of 13642742836531200
- 13642742836531200 squared (136427428365312002) is 186124432103723372885248573440000
- 13642742836531200 cubed (136427428365312003) is 2539247762786509752689479481054423918051328000000
-
The
square root of 13642742836531200 is 116802152.5338090677 -
The
cube root of 13642742836531200 is 238946.4398956477
Scales and comparisons
How big is 13642742836531200?- 13,642,742,836,531,200 seconds is equal to 433,797,022 years, 22 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,642,742,836,531,200 would take you about one billion, three hundred one million, three hundred ninety-one thousand and sixty-seven 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 13642742836531200 cubic inches would be around 19912.2 feet tall.
Recreational maths with 13642742836531200
- 13642742836531200 backwards is 00213563824724631
- The number of decimal digits it has is: 17
- The sum of 13642742836531200's digits is 57
- More coming soon!
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