138923182337428125
138,923,182,337,428,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138923182337428125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138923182337428125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138923182337428125:
33 × 55 × 72 × 13 × 23 × 106012
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 23 × 10601 × 10601)See below for interesting mathematical facts about the number 138923182337428125 from the Numbermatics database.
Names of 138923182337428125
- Cardinal: 138923182337428125 can be written as One hundred thirty-eight quadrillion, nine hundred twenty-three trillion, one hundred eighty-two billion, three hundred thirty-seven million, four hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38923182337428125 × 1017
Factors of 138923182337428125
Divisors of 138923182337428125
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 13 15 21 23 25 27 35 39 45 49 63 65 69 75 91 105 115 117 125 135 147 161 175 189 195 207 225 245 273 299 315 325 345 351 375 441 455 483 525 575 585 621 625 637 675 735 805 819 875 897 945 975 1035 1125 1127 1225 1323 1365 1449 1495 1575 1625 1725 1755 1875 1911 2093 2205 2275 2415 2457 2625 2691 2875 2925 3105 3125 3185 3375 3381 3675 4025 4095 4347 4375 4485 4725 4875 5175 5625 5635 5733 6125 6279 6615 6825 7245 7475 7875 8073 8125 8625 8775 9375 9555 10143 10465 10601 11025 11375 12075 12285 13125 13455 14375 14625 14651 15525 15925 16875 16905 17199 18375 18837 20125 20475 21735 21875 22425 23625 24375 25875 28125 28175 28665 30429 30625 31395 31803 33075 34125 36225 37375 39375 40365 40625 43125 43875 43953 47775 50715 52325 53005 55125 56511 56875 60375 61425 65625 67275 71875 73125 73255 74207 77625 79625 84375 84525 85995 91875 94185 95409 100625 102375 108675 112125 118125 121875 129375 131859 137813 140875 143325 152145 153125 156975 159015 165375 170625 181125 186875 196875 201825 215625 219375 219765 222621 238875 243823 253575 261625 265025 275625 282555 284375 286227 301875 307125 336375 365625 366275 371035 388125 395577 398125 413439 422625 429975 459375 470925 477045 503125 511875 519449 543375 560625 590625 646875 659295 667863 689065 704375 716625 731469 760725 784875 795075 826875 853125 905625 934375 964691 1009125 1096875 1098825 1113105 1194375 1219115 1240317 1267875 1308125 1325125 1378125 1412775 1431135 1509375 1535625 1558347 1681875 1706761 1831375 1855175 1940625 1977885 1990625 2003589 2067195 2113125 2149875 2194407 2354625 2385225 2559375 2597245 2716875 2803125 2894073 3169699 3296475 3339315 3445325 3521875 3583125 3657345 3720951 3803625 3924375 3975375 4134375 4528125 4675041 4823455 5045625 5120283 5494125 5565525 5971875 6095575 6201585 6339375 6540625 6583221 6625625 6752837 7063875 7155675 7678125 7791735 8409375 8533805 8682219 9156875 9275875 9509097 9889425 10017945 10335975 10565625 10749375 10972035 11773125 11926125 11947327 12986225 13584375 14025123 14470365 15360849 15848495 16482375 16696575 17226625 17915625 18286725 18604755 19018125 19621875 19876875 20258511 22187893 23375205 24117275 25228125 25601415 26046657 27470625 27827625 28527291 30477875 31007925 31696875 32916105 33128125 33764185 35319375 35778375 35841981 38958675 42669025 43411095 45784375 46082547 46379375 47545485 49447125 50089725 51679875 53746875 54860175 58865625 59630625 59736635 60775533 64931125 66563679 70125615 72351825 76804245 79242475 82411875 83482875 85581873 86133125 91433625 93023775 95090625 99384375 101292555 107525943 110939465 112381201 116876025 120586375 128007075 130233285 137353125 139138125 142636455 152389375 155039625 155315251 164580525 168820925 176596875 178891875 179209905 182326599 194793375 199691037 213345125 217055475 230412735 231896875 237727425 247235625 250448625 258399375 274300875 298153125 298683175 303877665 322577829 324655625 332818395 337143603 350628075 361759125 384021225 396212375 412059375 417414375 427909365 430665625 457168125 465118875 465945753 506462775 537629715 554697325 561906005 584380125 599073111 602931875 640035375 651166425 695690625 713182275 761946875 775198125 776576255 786668407 822902625 844104625 894459375 896049525 911632995 973966875 998455185 1011430809 1066725625 1085277375 1152063675 1188637125 1236178125 1252243125 1291996875 1371504375 1397837259 1460955613 1493415875 1519388325 1612889145 1623278125 1664091975 1685718015 1753140375 1808795625 1920106125 1981061875 2087071875 2139546825 2285840625 2325594375 2329728765 2360005221 2532313875 2584767623 2688148575 2773486625 2809530025 2921900625 2995365555 3014659375 3034292427 3200176875 3255832125 3565911375 3875990625 3882881275 3933342035 4114513125 4193511777 4220523125 4382866839 4480247625 4558164975 4869834375 4992275925 5057154045 5333628125 5426386875 5506678849 5760318375 5943185625 6261215625 6857521875 6989186295 7080015663 7304778065 7467079375 7596941625 7754302869 8064445725 8320459875 8428590075 8765701875 9043978125 9600530625 9905309375 10226689291 10697734125 11627971875 11648643825 11800026105 12661569375 12923838115 13148600517 13440742875 13867433125 14047650125 14609503125 14976827775 15171462135 16000884375 16279160625 16520036547 17829556875 18093373361 19414406375 19666710175 20572565625 20967558885 21102615625 21240046989 21914334195 22401238125 22790824875 23262908607 24961379625 25285770225 27131934375 27533394245 28801591875 29715928125 30680067873 33601979099 34945931475 35400078315 36523890325 37335396875 37984708125 38771514345 39445801551 40322228625 41602299375 42142950375 43828509375 48002653125 49560109641 51133446455 53488670625 54280120083 58243219125 59000130525 63307846875 64619190575 65743002585 67203714375 69337165625 69788725821 70238250625 71586825037 74884138875 75857310675 81395803125 82600182735 89147784375 90466866805 92040203619 97072031875 98333550875 100805937297 104837794425 106200234945 109571670975 112006190625 113954124375 116314543035 124806898125 126428851125 126653613527 137666971225 144007959375 148680328923 153400339365 162840360249 168009895495 174729657375 177000391575 182619451625 189923540625 193857571725 197229007755 201611143125 208011496875 210714751875 214760475111 235213853693 247800548205 255667232275 267443353125 271400600415 276120610857 291216095625 295000652625 302417811891 323095952875 328715012925 336018571875 348943629105 351191253125 357934125185 374420694375 379286553375 379960840581 413000913675 452334334025 460201018095 485360159375 488521080747 491667754375 504029686485 524188972125 531001174725 547858354875 569770621875 581572715175 624034490625 632144255625 633268067635 644281425333 688334856125 705641561079 743401644615 767001696825 814201801245 840049477475 873648286875 885001957875 907253435673 913097258125 969287858625 986145038775 1008055715625 1053573759375 1073802375555 1139882521743 1176069268465 1239002741025 1278336161375 1357003002075 1380603054285 1456080478125 1475003263125 1512089059455 1615479764375 1643575064625 1646496975851 1744718145525 1789670625925 1872103471875 1896432766875 1899804202905 1932844275999 2065004568375 2116924683237 2261671670125 2301005090475 2442605403735 2458338771875 2520148432425 2620944860625 2655005873625 2739291774375 2907863575875 3160721278125 3166340338175 3221407126665 3419647565229 3441674280625 3528207805395 3717008223075 3835008484125 4071009006225 4200247387375 4368241434375 4425009789375 4536267178365 4565486290625 4846439293125 4930725193875 4939490927553 5369011877775 5699412608715 5880346342325 6195013705125 6350774049711 6391680806875 6785015010375 6903015271425 7375016315625 7560445297275 8077398821875 8217875323125 8232484879255 8723590727625 8948353129625 9482163834375 9499021014525 9664221379995 10325022841875 10584623416185 11308358350625 11505025452375 12213027018675 12600742162125 13104724303125 13275029368125 13696458871875 14539317879375 14818472782659 15831701690875 16107035633325 17098237826145 17208371403125 17641039026975 18585041115375 19175042420625 20355045031125 21001236936875 22125048946875 22681335891825 24232196465625 24653625969375 24697454637765 26845059388875 28497063043575 29401731711625 30975068525625 31753870248555 31958404034375 33925075051875 34515076357125 37802226486375 41089376615625 41162424396275 43617953638125 44455418347977 44741765648125 47495105072625 48321106899975 51625114209375 52923117080925 56541791753125 57525127261875 61065135093375 63003710810625 66375146840625 72696589396875 74092363913295 79158508454375 80535178166625 85491189130725 88205195134875 92925205576875 95875212103125 101775225155625 105006184684375 113406679459125 123268129846875 123487273188825 134225296944375 142485315217875 147008658558125 154875342628125 158769351242775 169625375259375 172575381785625 189011132431875 205812121981375 218089768190625 222277091739885 223708828240625 237475525363125 241605534499875 264615585404625 287625636309375 305325675466875 315018554053125 370461819566475 395792542271875 402675890833125 427455945653625 441025975674375 464626027884375 508876125778125 567033397295625 617436365944125 671126484721875 712426576089375 735043292790625 793846756213875 862876908928125 945055662159375 1029060609906875 1111385458699425 1187377626815625 1208027672499375 1323077927023125 1526628377334375 1852309097832375 2013379454165625 2137279728268125 2205129878371875 2835166986478125 3087181829720625 3562132880446875 3969233781069375 5145303049534375 5556927293497125 6040138362496875 6615389635115625 9261545489161875 10686398641340625 15435909148603125 19846168905346875 27784636467485625 46307727445809375 138923182337428125
- Sum of all divisors σ(n): 336310945199389440
- Sum of proper divisors (its aliquot sum) s(n): 197387762861961315
- 138923182337428125 is an abundant number, because the sum of its proper divisors (197387762861961315) is greater than itself. Its abundance is 58464580524533190
Bases of 138923182337428125
- Binary: 1111011011000110111100101111101100100101000001010100111012
- Hexadecimal: 0x1ED8DE5F64A0A9D
- Base-36: 11ZW5OWXFI59
Squares and roots of 138923182337428125
- 138923182337428125 squared (1389231823374281252) is 19299650590758301756445239541015625
- 138923182337428125 cubed (1389231823374281253) is 2681168878068567984916277775651633980219512939453125
-
The
square root of 138923182337428125 is 372724002.8995022007 -
The
cube root of 138923182337428125 is 517914.7039052787
Scales and comparisons
How big is 138923182337428125?- 138,923,182,337,428,125 seconds is equal to 4,417,327,480 years, 37 weeks, 11 hours, 48 minutes, 45 seconds.
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To count from 1 to 138,923,182,337,428,125 would take you about thirteen billion, two hundred fifty-one million, nine hundred eighty-two thousand, four hundred forty-two 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 138923182337428125 cubic inches would be around 43159.6 feet tall.
Recreational maths with 138923182337428125
- 138923182337428125 backwards is 521824733281329831
- The number of decimal digits it has is: 18
- The sum of 138923182337428125's digits is 72
- More coming soon!
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"Number 138923182337428125 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138923182337428125 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138923182337428125/
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The information we have on file for 138923182337428125 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!
Keywords: Divisors of 138923182337428125, math, Factors of 138923182337428125, curriculum, school, college, exams, university, Prime factorization of 138923182337428125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred twenty-three trillion, one hundred eighty-two billion, three hundred thirty-seven million, four hundred twenty-eight thousand, one hundred twenty-five.