13664264200615125
13,664,264,200,615,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13664264200615125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
13664264200615125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13664264200615125:
32 × 53 × 192 × 312 × 612 × 972
(3 × 3 × 5 × 5 × 5 × 19 × 19 × 31 × 31 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 13664264200615125 from the Numbermatics database.
Names of 13664264200615125
- Cardinal: 13664264200615125 can be written as Thirteen quadrillion, six hundred sixty-four trillion, two hundred sixty-four billion, two hundred million, six hundred fifteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3664264200615125 × 1016
Factors of 13664264200615125
Divisors of 13664264200615125
- Number of divisors d(n): 972
-
Complete list of divisors:
1 3 5 9 15 19 25 31 45 57 61 75 93 95 97 125 155 171 183 225 279 285 291 305 361 375 465 475 485 549 589 775 855 873 915 961 1083 1125 1159 1395 1425 1455 1525 1767 1805 1843 1891 2325 2375 2425 2745 2883 2945 3007 3249 3477 3721 3875 4275 4365 4575 4805 5301 5415 5529 5673 5795 5917 6975 7125 7275 7625 8649 8835 9021 9025 9215 9409 9455 10431 11163 11191 11625 12125 13725 14415 14725 15035 16245 16587 17019 17385 17751 18259 18605 21375 21825 22021 22875 24025 26505 27063 27075 27645 28227 28365 28975 29585 33489 33573 34875 35017 35929 36375 43245 44175 45105 45125 46075 47045 47275 52155 53253 54777 55815 55955 57133 58621 66063 68625 70699 72075 73625 75175 81225 82935 84681 85095 86925 88755 91295 93025 93217 100719 105051 107787 109125 110105 112423 115351 120125 132525 135315 135375 138225 141135 141825 144875 147925 164331 167445 167865 171399 175085 175863 178771 179645 183427 198189 212097 216225 220875 225525 230375 235225 236375 260775 266265 273885 279075 279651 279775 285665 291679 293105 315153 323361 330315 337269 346053 346921 353495 360375 360937 375875 406125 414675 423405 425475 434625 443775 456475 465125 466085 503595 514197 525255 527589 536313 538935 550281 550525 562115 573949 576755 636291 662625 676575 682651 691125 705675 709125 739625 821655 837225 838953 839325 856995 875037 875425 879315 893855 898225 917135 990945 1011807 1038159 1040763 1060485 1081125 1082811 1085527 1113799 1127625 1176125 1303875 1331325 1343281 1369425 1395375 1398255 1398875 1428325 1458395 1465525 1575765 1608939 1616805 1650843 1651575 1686345 1721847 1730265 1734605 1767475 1771123 1804685 2047953 2073375 2117025 2127375 2136037 2191669 2218875 2282375 2330425 2517975 2570985 2625111 2626275 2637945 2681565 2694675 2751405 2752625 2810575 2869745 2883775 3122289 3181455 3248433 3256581 3341397 3382875 3396649 3413255 3485113 3528375 3575881 4029843 4108275 4186125 4194765 4196625 4284975 4375185 4377125 4396575 4469275 4491125 4585675 4954725 5059035 5165541 5190795 5203815 5302425 5313369 5414055 5427635 5541901 5568995 5686237 6143859 6408111 6575007 6656625 6716405 6847125 6857803 6991275 7141625 7291975 7327625 7878825 8044695 8084025 8254215 8257875 8431725 8609235 8651325 8673025 8837375 8855615 9023425 9042049 9769743 10024191 10189947 10239765 10455339 10585125 10680185 10727643 10905031 10958345 11189047 11652125 12089529 12589875 12854925 13125555 13131375 13189725 13407825 13473375 13757025 14052875 14348725 14418875 15611445 15907275 15940107 16242165 16282905 16625703 16706985 16983245 17058711 17066275 17425565 17792419 17879405 19224333 19725021 20149215 20541375 20573409 20973825 21162181 21424875 21875925 21982875 22346375 22928375 24773625 25295175 25827705 25953975 26019075 26512125 26566845 27070275 27126147 27138175 27709505 27844975 28431185 30569841 30719295 31366017 32040555 32182929 32715093 32875035 33567141 33582025 33651337 34289015 34956375 35010889 36459875 39394125 40223475 40420125 41271075 41641711 42158625 43046175 43256625 43365125 44278075 45117125 45210245 48848715 49877109 50120955 50949735 51176133 51198825 52276695 53377257 53400925 53638215 54525155 54791725 55945235 60447645 61720227 63486543 64274625 65627775 65948625 66217147 67039125 67941739 68785125 71743625 78057225 79536375 79700535 81210825 81378441 81414525 83128515 83534925 84916225 85293555 85331375 87127825 88962095 89397025 96121665 98145279 98625105 100701423 100746075 100954011 102867045 104869125 105032667 105296119 105810905 108038503 109379625 124925133 126475875 129138525 129769875 130095375 130298257 132834225 135351375 135630735 135690875 138547525 139224875 142155925 152849205 153596475 156830085 160131771 160202775 160914645 163575465 164375175 167835705 167910125 168256685 171445075 171798931 175054445 190459629 198651441 201117375 203825217 206355375 207195589 208208555 212591893 215230875 221390375 226051225 244243575 249385545 250604775 254748675 255880665 255994125 261383475 266886285 267004625 268191075 272625775 273958625 279726175 302238225 302862033 308601135 315098001 315888357 317432715 324115509 328138875 331085735 338055961 339708695 346860457 374775399 390286125 390894771 398502675 406054125 406892205 407072625 415642575 417674625 424581125 426467775 435639125 444810475 446985125 480608325 490726395 493125525 503507115 503730375 504770055 514335225 515396793 525163335 526480595 529054525 540192515 551564989 595954323 611475651 621586767 624625665 637775679 645692625 651491285 664171125 665206891 678153675 692737625 710779625 764246025 767982375 784150425 800658855 801013875 804573225 817877325 821875875 839178525 841283425 857225375 858994655 875272225 947665071 952298145 972346527 993257205 1014167883 1019126085 1035977945 1040581371 1041042775 1062959465 1085337559 1130256125 1172684313 1221217875 1246927725 1253023875 1273743375 1279403325 1290893041 1306917375 1334431425 1340955375 1363128875 1398630875 1511191125 1514310165 1543005675 1546190379 1575490005 1579441785 1587163575 1620577545 1654694967 1655428675 1690279805 1698543475 1734302285 1864760301 1873876995 1913327037 1954473855 1992513375 1995620673 2034461025 2052731557 2078212875 2132338875 2224052375 2403041625 2453631975 2465627625 2517535575 2523850275 2571676125 2576983965 2625816675 2632402975 2645272625 2700962575 2757824945 2979771615 3042503649 3057378255 3107933835 3121744113 3123128325 3188878395 3256012677 3257456425 3264179689 3326034455 3390768375 3821230125 3872679123 3920752125 4003294275 4022866125 4039245967 4089386625 4195892625 4206417125 4294973275 4376361125 4738325355 4761490725 4861732635 4964084901 4966286025 5070839415 5095630425 5179889725 5202906855 5205213875 5314797325 5426687795 5863421565 5986862019 6158194671 6234638625 6397016625 6423063259 6454465205 6590348683 6672157125 7571550825 7715028375 7730951895 7877450025 7897208925 7935817875 8102887725 8273474835 8277143375 8451399025 8492717375 8671511425 9323801505 9369384975 9566635185 9768038031 9772369275 9792539067 9978103365 10172305125 10263657785 10479734791 11618037369 12117737901 12268159875 12587677875 12619251375 12638930929 12884919825 13129083375 13162014875 13504812875 13789124725 14898858075 15212518245 15286891275 15539669175 15608720565 15615641625 15944391975 16280063385 16287282125 16320898445 16630172275 18474584013 19269189777 19363395615 19771046049 20016471375 20196229835 20621413621 21474866375 23691626775 23807453625 24308663175 24820424505 24831430125 25354197075 25478152125 25899448625 26014534275 26573986625 27133438975 29317107825 29377617201 29934310095 30790973355 31439204373 32115316295 32272326025 32951743415 33645464329 36353213703 37857754125 37916792787 38654759475 39387250125 39486044625 40514438625 41367374175 42256995125 43357557125 46619007525 46846924875 47833175925 48840190155 48861846375 48962695335 49890516825 51318288925 52398673955 57807569331 58090186845 59313138147 60588689505 61864240863 63194654645 64424599125 68945623625 74494290375 76062591225 76434456375 77698345875 78043602825 79721959875 81400316925 81604492225 83150861375 92372920065 94317613119 96345948885 96816978075 98855230245 100936392987 100981149175 103107068105 113750378361 118458133875 121543315875 124102122525 125216624977 126770985375 130072671375 135667194875 146585539125 146888086005 149671550475 153954866775 157196021865 160576581475 161361630125 164758717075 168227321645 181766068515 185592722589 189583963935 193273797375 199114961029 206836870875 233095037625 239165879625 244200950775 244813476675 249452584125 256591444625 261993369775 289037846655 290450934225 296565690735 302809178961 302943447525 309321204315 315973273225 375649874931 380312956125 390218014125 391806858799 407001584625 408022461125 461864600325 471588065595 481729744425 484084890375 494276151225 504681964935 504905745875 515535340525 568751891805 597344883087 620510612625 626083124885 639263822251 734440430025 748357752375 769774333875 785980109325 802882907375 823793585375 841136608225 908830342575 927963612945 947919819675 995574805145 1126949624793 1175420576397 1221004753875 1224067383375 1309966848875 1445189233275 1452254671125 1482828453675 1514045894805 1514717237625 1546606021575 1579866366125 1792034649261 1878249374655 1917791466753 1959034293995 2309323001625 2357940327975 2408648722125 2471380756125 2523409824675 2577676702625 2843759459025 2986724415435 3130415624425 3196319111255 3526261729191 3672202150125 3929900546625 4205683041125 4544151712875 4639818064725 4739599098375 4977874025725 5634748123965 5753374400259 5877102881985 7225946166375 7414142268375 7570229474025 7733030107875 8960173246305 9391246873275 9588957333765 9795171469975 11789701639875 12146012622769 12617049123375 14218797295125 14933622077175 15652078122125 15981595556275 17631308645955 23199090323625 24889370128625 28173740619825 28766872001295 29385514409925 36438037868307 37851147370125 44800866231525 46956234366375 47944786668825 48975857349875 60730063113845 74668110385875 79907977781375 88156543229775 109314113604921 140868703099125 143834360006475 146927572049625 182190189341535 224004331157625 239723933344125 303650315569225 440782716148875 546570568024605 719171800032375 910950946707675 1518251577846125 2732852840123025 4554754733538375 13664264200615125
- Sum of all divisors σ(n): 27594467009732844
- Sum of proper divisors (its aliquot sum) s(n): 13930202809117719
- 13664264200615125 is an abundant number, because the sum of its proper divisors (13930202809117719) is greater than itself. Its abundance is 265938608502594
Bases of 13664264200615125
- Binary: 1100001000101110010011011011011100101101110100110101012
- Hexadecimal: 0x308B936DCB74D5
- Base-36: 3QJKSBC76J9
Squares and roots of 13664264200615125
- 13664264200615125 squared (136642642006151252) is 186712116144212101032428378765625
- 13664264200615125 cubed (136642642006151253) is 2551283684450450739787402603678742384613205078125
-
The
square root of 13664264200615125 is 116894243.6590233685 -
The
cube root of 13664264200615125 is 239072.0195217037
Scales and comparisons
How big is 13664264200615125?- 13,664,264,200,615,125 seconds is equal to 434,481,335 years, 12 weeks, 1 day, 15 hours, 18 minutes, 45 seconds.
-
To count from 1 to 13,664,264,200,615,125 would take you about one billion, three hundred three million, four hundred forty-four thousand and five 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 13664264200615125 cubic inches would be around 19922.7 feet tall.
Recreational maths with 13664264200615125
- 13664264200615125 backwards is 52151600246246631
- The number of decimal digits it has is: 17
- The sum of 13664264200615125's digits is 54
- More coming soon!
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The information we have on file for 13664264200615125 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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