138415465106415
138,415,465,106,415 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138415465106415 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138415465106415 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 138415465106415:
33 × 5 × 72 × 192 × 292 × 413
(3 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 29 × 29 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138415465106415 from the Numbermatics database.
Names of 138415465106415
- Cardinal: 138415465106415 can be written as One hundred thirty-eight trillion, four hundred fifteen billion, four hundred sixty-five million, one hundred six thousand, four hundred fifteen.
Scientific notation
- Scientific notation: 1.38415465106415 × 1014
Factors of 138415465106415
Divisors of 138415465106415
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 15 19 21 27 29 35 41 45 49 57 63 87 95 105 123 133 135 145 147 171 189 203 205 245 261 285 287 315 361 369 399 435 441 513 551 609 615 665 735 779 783 841 855 861 931 945 1015 1083 1107 1189 1197 1305 1323 1421 1435 1653 1681 1805 1827 1845 1995 2009 2205 2337 2523 2527 2565 2583 2755 2793 3045 3249 3567 3591 3857 3895 3915 4205 4263 4305 4655 4959 5043 5415 5453 5481 5535 5887 5945 5985 6027 6615 7011 7105 7569 7581 7749 8265 8323 8379 8405 9135 9747 10045 10469 10701 11571 11685 11767 12615 12635 12789 12915 13965 14801 14877 15129 15979 16245 16359 17661 17689 17835 17955 18081 19285 21033 21315 22591 22707 22743 24795 24969 25137 25215 26999 27265 27405 29435 30135 31407 31939 32103 34481 34713 35055 35301 37845 37905 38171 38367 38745 41209 41615 41895 44403 45387 47937 48735 48749 49077 52345 52983 53067 53505 54243 57855 58261 58835 63945 67773 68229 68921 73283 74005 74385 74907 75645 79895 80997 81795 82369 88305 88445 90405 94221 95817 103443 103607 104139 105165 105903 111853 112955 113535 113715 114513 123627 124845 125685 133209 134995 143811 146247 147231 157035 158137 158949 159201 159695 160515 172405 173565 174783 176505 190855 191835 203319 206045 206763 219849 222015 223573 224721 226935 239685 241367 242991 243745 245385 247107 264915 265335 271215 282663 287451 291305 303601 310329 310821 317709 335559 338865 341145 341243 343539 344605 366415 370881 374535 399627 404985 411845 429229 431433 438741 471105 474411 477603 479085 482447 512981 517215 518035 520695 524349 529515 559265 572565 606841 609957 618135 620289 655139 659547 666045 670719 719055 724101 725249 728973 731235 736155 741321 782971 790685 794745 796005 862353 873915 910803 926231 930987 932463 1006677 1016595 1023729 1030617 1033815 1099245 1106959 1112643 1117865 1123605 1206835 1214955 1235535 1287687 1309499 1316223 1413315 1413721 1423233 1437255 1447341 1518005 1538943 1551645 1554105 1565011 1573047 1588545 1677795 1689569 1706215 1717695 1820523 1854405 1860867 1965417 1978641 1998135 1998709 2012157 2125207 2146145 2157165 2172303 2175747 2193705 2223963 2348913 2372055 2388015 2388701 2412235 2564905 2621745 2732409 2778693 2797389 3004603 3020031 3034205 3049785 3071187 3101445 3275695 3297735 3320877 3353595 3377129 3620505 3626245 3644865 3706605 3863061 3914855 3928497 4241163 4247887 4269699 4311765 4342023 4554015 4585973 4616829 4631155 4654935 4662315 4695033 5033385 5068707 5118645 5153085 5461569 5534795 5563215 5896251 5996127 6036471 6375621 6438435 6483617 6516909 6527241 6547495 6581115 7046739 7068605 7116165 7166103 7236705 7694715 7825055 7865235 8197227 8336079 8447845 9013809 9102615 9166493 9213561 9304335 9827085 9893205 9896047 9962631 9993545 10060785 10131387 10626035 10861515 10878735 11119815 11589183 11744565 11785491 11943505 12447641 12723489 12743661 13026069 13662045 13757919 13850487 13893465 13986945 13990963 14085099 14876449 15023015 15100155 15206121 15355935 16384707 16604385 16885645 17598389 17688753 17988381 19126863 19315305 19450851 19581723 19642485 21032221 21140217 21205815 21239435 21348495 21498309 21710115 22929865 23084145 23475165 24880481 25008237 25343535 26860699 27041427 27307845 27499479 29481255 29688141 29735209 29887893 29980635 30182355 30394161 31878105 32101811 32418085 32584545 32636205 35233695 35356473 35830515 37342923 37975471 38170467 38230983 40986135 41273757 41680395 41972889 42255297 44629347 45069045 45385319 45618363 45832465 46067805 49480235 49813155 50656935 52795167 53965143 57380589 57945915 57962561 58352553 58927455 62238205 63096663 63617445 63718305 64165451 64494927 65130345 68789595 69252435 69272329 69954815 70425495 74382245 74641443 76030605 80582097 81124281 81923535 82498437 87133487 87991945 88443765 89064423 89205627 89941905 91182483 95634315 96305433 97254255 97908615 97936741 105161105 105701085 107491545 112028769 113926413 114692949 123188723 123821271 124402405 125041185 125918667 133888041 134303495 135207135 136155957 137497395 148440705 148676045 149439465 151970805 158385501 160509055 173887683 174163367 175057659 176782365 186714615 188024893 189289989 189877355 190852335 191154915 192496353 206368785 207816987 209864445 211276485 223146735 223924329 226926595 228091815 241746291 247495311 261400461 263975835 265828297 267193269 267616881 269825715 286902945 288916299 289812805 291762765 293810223 315483315 320827255 322474635 336086307 341779239 346361645 369566169 373207215 377756001 401664123 402910485 405621405 405737927 408467871 412492185 435667435 445322115 446028135 455912415 475156503 481527165 489683705 510353281 521663049 522490101 560143845 564074679 567869967 569632065 573464745 577489059 609934409 615943615 619106355 623450961 629593335 669440205 671772987 680779785 721533949 725238873 784201383 791927505 797484891 802850643 862321061 866748897 869438415 870816835 875288295 881430669 940124465 946449945 962481765 1025337717 1039084935 1101288659 1108698507 1119621645 1208731455 1217213781 1219143569 1225403613 1237476555 1307002305 1316174251 1329141485 1335966345 1338084405 1444581495 1469051115 1531059843 1564989147 1567470303 1680431535 1692224037 1708896195 1732467177 1829803227 1847830845 1860798079 1870352883 1888780005 2008320615 2028689635 2042339355 2164601847 2352604149 2375782515 2392454673 2551766405 2586963183 2608315245 2612450505 2644292007 2820373395 2839349835 2840165489 2887445295 3049672045 3117254805 3303865977 3326095521 3358864935 3572472967 3607669745 3626194365 3651641343 3657430707 3921006915 3948522753 3987424455 4014253215 4311605305 4333744485 4407153345 4593179529 4702410909 5050737643 5076672111 5126688585 5489409681 5506443295 5543492535 5582394237 6086068905 6095717845 6127018065 6493805541 6580871255 7177364019 7655299215 7709020613 7760889549 7824945735 7837351515 8461120185 8520496467 8662335885 9149016135 9303990395 9351764415 9911597931 10717418901 10823009235 10954924029 10972292121 11763020745 11845568259 11962273365 12934815915 13221460035 13779538587 14200827445 15152212929 16468229043 16519329885 16630477605 16747182711 17862364835 18258206715 18287153535 19481416623 19742613765 20924484521 22965897645 23127061839 23282668647 23512054545 25007310769 25253688215 25383360555 25561489401 27447048405 27911971185 29734793793 32152256703 32469027705 32916876363 35355163501 35536704777 35886820095 38545103065 38804447745 42602482335 45456638787 49557989655 50241548133 53587094505 53963144291 54774620145 54861460605 59227841295 62773453563 68897692935 69381185517 75021932307 75761064645 76684468203 82341145215 83735913555 96456770109 97407083115 104622422605 106065490503 115635309195 116413343235 125036553845 127807447005 136369916361 146471391647 148673968965 160761283515 161889432873 164584381815 176775817505 177683523885 188320360689 208143556551 225065796921 227283193935 251207740665 269815721455 313867267815 318196471509 346905927585 375109661535 383422341015 439414174941 482283850545 485668298619 530327452515 564961082067 675197390763 681849581805 732356958235 809447164365 941601803445 954589414527 1025299741529 1040717782755 1125328984605 1318242524823 1457004895857 1590982357545 2197070874705 2428341493095 2824805410335 3075899224587 3375986953815 3954727574469 4772947072635 5126498707645 6591212624115 7285024479285 9227697673761 15379496122935 19773637872345 27683093021283 46138488368805 138415465106415
- Sum of all divisors σ(n): 320704098361920
- Sum of proper divisors (its aliquot sum) s(n): 182288633255505
- 138415465106415 is an abundant number, because the sum of its proper divisors (182288633255505) is greater than itself. Its abundance is 43873168149090
Bases of 138415465106415
- Binary: 111110111100011010111001010000100001011111011112
- Hexadecimal: 0x7DE35CA10BEF
- Base-36: 1D2B6Q559R
Squares and roots of 138415465106415
- 138415465106415 squared (1384154651064152) is 19158840980625188427274152225
- 138415465106415 cubed (1384154651064153) is 2651879885233079509826999889192538534023375
-
The
square root of 138415465106415 is 11765010.2042631055 -
The
cube root of 138415465106415 is 51728.2999383005
Scales and comparisons
How big is 138415465106415?- 138,415,465,106,415 seconds is equal to 4,401,183 years, 33 weeks, 3 days, 3 hours, 20 minutes, 15 seconds.
-
To count from 1 to 138,415,465,106,415 would take you about eleven million, two thousand, nine hundred fifty-nine 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 138415465106415 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138415465106415
- 138415465106415 backwards is 514601564514831
- The number of decimal digits it has is: 15
- The sum of 138415465106415's digits is 54
- More coming soon!
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The information we have on file for 138415465106415 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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