138251706324220125
138,251,706,324,220,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138251706324220125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138251706324220125 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 138251706324220125:
32 × 53 × 7 × 132 × 432 × 3833
(3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 43 × 43 × 383 × 383 × 383)See below for interesting mathematical facts about the number 138251706324220125 from the Numbermatics database.
Names of 138251706324220125
- Cardinal: 138251706324220125 can be written as One hundred thirty-eight quadrillion, two hundred fifty-one trillion, seven hundred six billion, three hundred twenty-four million, two hundred twenty thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38251706324220125 × 1017
Factors of 138251706324220125
Divisors of 138251706324220125
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 43 45 63 65 75 91 105 117 125 129 169 175 195 215 225 273 301 315 325 375 383 387 455 507 525 559 585 645 819 845 875 903 975 1075 1125 1149 1183 1365 1505 1521 1575 1625 1677 1849 1915 1935 2275 2535 2625 2681 2709 2795 2925 3225 3447 3549 3913 4095 4225 4515 4875 4979 5031 5375 5547 5745 5915 6825 7267 7525 7605 7875 8043 8385 9245 9575 9675 10647 11375 11739 12675 12943 13405 13545 13975 14625 14937 16125 16469 16641 17235 17745 19565 20475 21125 21801 22575 24037 24129 24895 25155 27735 28725 29575 34125 34853 35217 36335 37625 38025 38829 40215 41925 44811 46225 47875 48375 49407 50869 53235 58695 63375 64715 64727 65403 67025 67725 69875 72111 74685 82345 83205 86175 88725 97825 102375 104559 109005 112875 115283 116487 120185 120645 124475 125775 138675 143625 146689 147875 148221 152607 168259 174265 176085 181675 190125 194145 194181 201075 209625 214097 216333 224055 231125 247035 254345 266175 293475 312481 313677 323575 323635 327015 335125 338625 345849 360555 373425 411725 416025 430875 440067 443625 453089 457821 489125 504777 522795 545025 576415 582435 582543 600925 603225 622375 628875 642291 693375 708167 733445 741105 763035 841295 871325 880425 908375 937443 970725 970905 1005375 1026823 1037547 1070485 1081665 1120275 1235175 1271725 1320201 1330875 1359267 1467375 1498679 1514331 1562405 1568385 1617875 1618175 1635075 1729245 1802775 1867125 1906957 1926873 2058625 2080125 2124501 2187367 2200335 2265445 2289105 2523885 2613975 2725125 2783261 2812329 2882075 2912175 2912715 3004625 3016125 3080469 3211455 3540835 3667225 3705525 3815175 4077801 4206475 4356625 4402125 4496037 4687215 4853625 4854525 4957169 5134115 5187735 5352425 5408325 5601375 5720871 6175875 6307627 6358625 6373503 6562101 6601005 6796335 7493395 7571655 7812025 7841925 8090875 8175375 8349783 8646225 9013875 9206171 9241407 9534785 9634365 10622505 10936835 11001675 11327225 11445525 12619425 13069875 13348699 13488111 13916305 14061645 14410375 14560875 14563575 14871507 15402345 16057275 17162613 17704175 18336125 18527625 18922881 19075875 19482827 19686303 20389005 21032375 22480185 23436075 24272625 24785845 24790441 25049349 25670575 25938675 26762125 27041625 27618513 28604355 31538135 31867515 32810505 33005025 33981675 37466975 37858275 39060125 39209625 40046097 41748915 43231125 44153389 44614521 46030855 46207035 47673925 48171825 53112525 54684175 55008375 56181887 56636125 56768643 57227625 58448481 63097125 64443197 66743495 67440555 69581525 70308225 72817875 74357535 74371323 77011725 80286375 81999151 82855539 85813065 88520875 94614405 97414135 98431515 101945025 112400925 117180375 119680223 120138291 123929225 123952205 125246745 128352875 129693375 132460167 138092565 143021775 157690675 159337575 164052525 165025125 168545661 169908375 173533087 175345443 187334875 189291375 193329591 200230485 208744575 220766945 223072605 223113969 230154275 231035175 238369625 240859125 245997453 265562625 271227961 273420875 280909435 283843215 292242405 322215985 333717475 337202775 347907625 351541125 359040669 371787675 371856615 385058625 393273209 397380501 409995755 414277695 429065325 473072025 487070675 492157575 505636983 509725125 520599261 562004625 573994057 579988773 598401115 600691455 619646125 619761025 626233725 662300835 690462825 715108875 730364531 737992359 788453375 796687875 813683883 820262625 837761561 842728305 867665435 876727215 966647955 1001152425 1043722875 1065988963 1077122007 1103834725 1115363025 1115569845 1150771375 1155175875 1179819627 1229987265 1356139805 1404547175 1419216075 1461212025 1561797783 1611079925 1668587375 1686013875 1721982171 1795203345 1858938375 1859283075 1898595727 1966366045 1986902505 2049978775 2071388475 2145326625 2191093593 2365360125 2415821141 2435353375 2441051649 2460787875 2513284683 2528184915 2602996305 2869970285 2899943865 2992005575 3003457275 3098805125 3131168625 3197966889 3311504175 3452314125 3525963493 3539458881 3651822655 3689961795 4068419415 4188807805 4213641525 4338327175 4383636075 4833239775 5005762125 5112551717 5165946513 5329944815 5385610035 5519173625 5576815125 5577849225 5695787181 5899098135 6149936325 6573280779 6780699025 7022735875 7096080375 7247463423 7306060125 7461922741 7539854049 7808988915 8055399625 8609910855 8976016725 9296415375 9492978635 9494738903 9593900667 9831830225 9934512525 10249893875 10356942375 10577890479 10955467965 12079105705 12205258245 12566423415 12640924575 13014981525 14349851425 14499719325 14960027875 15017286375 15337655151 15989834445 16557520875 16910747987 17087361543 17629817465 17697294405 18259113275 18449808975 20342097075 20944039025 21068207625 21691635875 21742390269 21918180375 22385768223 24166198875 24681744451 25562758585 25829732565 26649724075 26928050175 27889246125 28478935905 28484216709 29495490675 30749681625 31405674833 31733671437 32866403895 33903495125 36237317115 37309613705 37699270245 39044944575 43049554275 44880083625 45837525409 46012965453 47464893175 47473694515 47969503335 49159151125 49672562625 50732243961 52889452395 54777339825 60395528525 61026291225 62832117075 63204622875 65074907625 66463172321 67157304669 71749257125 72498596625 74045233353 76688275755 79949172225 84553739935 85436807715 85452650127 88149087325 88486472025 91295566375 92249044875 94217024499 101710485375 103880309063 104720195125 108711951345 111928841115 123408722255 127813792925 129148662825 133248620375 134640250875 137512576227 142394679525 142421083545 147477453375 152196731883 157028374165 158668357185 164332019475 181186585575 186548068525 188496351225 195224722875 199389516963 215247771375 219839723831 222135700059 229187627045 230064827265 237324465875 237368472575 239847516675 253661219805 264447261975 273886699125 282651073497 301977642625 305131456125 311640927189 314160585375 320862677863 332315861605 335786523345 370226166765 383441378775 399745861125 408273772829 412537728681 422768699675 427184038575 427263250635 440745436625 442432360125 471085122495 519401545315 543559756725 559644205575 598168550889 617043611275 639068964625 645743314125 659519171493 687562881135 711973397625 712105417725 727162163441 760983659415 785141870825 793341785925 821660097375 905932927875 932740342625 934922781567 942481756125 962588033589 996947584815 1099198619155 1110678500295 1145938135225 1150324136325 1186842362875 1199237583375 1224821318487 1268306099025 1322236309875 1350444017819 1413255367485 1558204635945 1604313389315 1661579308025 1678932616725 1851130833825 1917206893875 1978557514479 2041368864145 2062688643405 2113843498375 2135920192875 2136316253175 2181486490323 2355425612475 2597007726575 2717798783625 2798221027875 2857916409803 2887764100767 2990842754445 3085218056375 3297595857465 3437814405675 3560527088625 3635810817205 3674463955461 3804918297075 3925709354125 3966708929625 4051332053457 4674613907835 4812940167945 4984737924075 5495993095775 5553392501475 5729690676125 5751620681625 6124106592435 6341530495125 6544459470969 6752220089095 7066276837425 7791023179725 8021566946575 8307896540125 8394663083625 8573749229409 9255654169125 9453108124733 9892787572395 10206844320725 10313443217025 10681581265875 10907432451615 11777128062375 12153996160371 12985038632875 14289582049015 14438820503835 14954213772225 16487979287325 17189072028375 17555772231647 18179054086025 18372319777305 19024591485375 20256660267285 23373069539175 24064700839725 24923689620375 25721247688227 27479965478875 27766962507375 28359324374199 30620532962175 32722297354845 33761100445475 35331384187125 38955115898625 40107834732875 42868746147045 47265540623665 49463937861975 51034221603625 51567216085125 52667316694941 54537162258075 60769980801855 71447910245075 72194102519175 74771068861125 82439896436625 85077973122597 87778861158235 90895270430125 91861598886525 101283301336425 116865347695875 120323504198625 122890405621529 128606238441135 141796621870995 153102664810875 158001950084823 163611486774225 168805502227375 214343730735225 236327703118325 247319689309875 263336583474705 272685811290375 303849904009275 357239551225375 360970512595875 368671216864587 425389865612985 438894305791175 459307994432625 506416506682125 614452028107645 643031192205675 708983109354975 790009750424115 818057433871125 1071718653676125 1106013650593761 1181638515591625 1316682917373525 1519249520046375 1843356084322935 2126949328064925 2194471528955875 3072260140538225 3215155961028375 3544915546774875 3950048752120575 5530068252968805 6583414586867625 9216780421614675 10634746640324625 15361300702691125 19750243760602875 27650341264844025 46083902108073375 138251706324220125
- Sum of all divisors σ(n): 316585758434549760
- Sum of proper divisors (its aliquot sum) s(n): 178334052110329635
- 138251706324220125 is an abundant number, because the sum of its proper divisors (178334052110329635) is greater than itself. Its abundance is 40082345786109510
Bases of 138251706324220125
- Binary: 1111010110010101100110001110001010000101111111000110111012
- Hexadecimal: 0x1EB2B31C50BF8DD
- Base-36: 11TA513C5VX9
Squares and roots of 138251706324220125
- 138251706324220125 squared (1382517063242201252) is 19113534301558406906685189455015625
- 138251706324220125 cubed (1382517063242201253) is 2642478731076960693934464629175455873660097814453125
-
The
square root of 138251706324220125 is 371822143.4022187509 -
The
cube root of 138251706324220125 is 517078.9203988125
Scales and comparisons
How big is 138251706324220125?- 138,251,706,324,220,125 seconds is equal to 4,395,976,620 years, 26 weeks, 1 day, 15 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,251,706,324,220,125 would take you about thirteen billion, one hundred eighty-seven million, nine hundred twenty-nine thousand, eight hundred sixty-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 138251706324220125 cubic inches would be around 43089.9 feet tall.
Recreational maths with 138251706324220125
- 138251706324220125 backwards is 521022423607152831
- The number of decimal digits it has is: 18
- The sum of 138251706324220125's digits is 54
- More coming soon!
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"Number 138251706324220125 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138251706324220125 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138251706324220125/
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The information we have on file for 138251706324220125 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 138251706324220125, math, Factors of 138251706324220125, curriculum, school, college, exams, university, Prime factorization of 138251706324220125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred fifty-one trillion, seven hundred six billion, three hundred twenty-four million, two hundred twenty thousand, one hundred twenty-five.