138456677403135
138,456,677,403,135 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138456677403135 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138456677403135 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138456677403135:
35 × 5 × 72 × 13 × 292 × 281 × 757
(3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 29 × 29 × 281 × 757)See below for interesting mathematical facts about the number 138456677403135 from the Numbermatics database.
Names of 138456677403135
- Cardinal: 138456677403135 can be written as One hundred thirty-eight trillion, four hundred fifty-six billion, six hundred seventy-seven million, four hundred three thousand, one hundred thirty-five.
Scientific notation
- Scientific notation: 1.38456677403135 × 1014
Factors of 138456677403135
Divisors of 138456677403135
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 13 15 21 27 29 35 39 45 49 63 65 81 87 91 105 117 135 145 147 189 195 203 243 245 261 273 281 315 351 377 405 435 441 455 567 585 609 637 735 757 783 819 841 843 945 1015 1053 1131 1215 1305 1323 1365 1405 1421 1701 1755 1827 1885 1911 1967 2205 2271 2349 2457 2523 2529 2639 2835 3045 3159 3185 3393 3653 3785 3915 3969 4095 4205 4215 4263 5265 5299 5481 5655 5733 5887 5901 6615 6813 7047 7105 7371 7569 7587 7917 8149 8505 9135 9555 9835 9841 10179 10933 10959 11355 11745 11907 12285 12615 12645 12789 13195 13769 15795 15897 16443 16965 17199 17661 17703 18265 18473 19845 20439 21315 21953 22113 22707 22761 23751 24447 25571 26495 27405 28665 29435 29505 29523 30537 32799 32877 34065 35235 36855 37093 37845 37935 38367 39585 40745 41209 41307 47691 49205 49329 50895 51597 52983 53109 54665 54795 55419 57043 59535 61317 63945 65859 68121 68283 68845 68887 71253 73341 76531 76713 79485 82215 85995 88305 88515 88569 91611 92365 98397 98631 102195 105937 109765 110565 111279 113535 113805 115101 118755 122235 123627 123921 127855 143073 147615 152685 153671 154791 158949 159327 163995 164385 166257 171129 178997 183951 185465 191835 197577 204363 206045 206535 206661 212717 213759 220023 229593 230139 236321 238455 246645 257985 264915 265545 265707 277095 285215 285389 295191 295893 306585 317811 329295 333837 340605 341415 344435 345303 356265 366705 370881 371763 382655 383565 399301 429219 442845 458055 461013 476847 477981 482209 491985 493155 498771 513387 529685 535717 536991 556395 575505 592731 618135 619605 619983 636637 638151 641277 660069 688779 690417 708963 715365 741559 768355 773955 794745 796635 797121 831285 855645 856167 885573 887679 894985 919755 953433 987885 1001511 1021815 1033305 1063585 1068795 1075697 1100115 1112643 1115289 1147965 1150695 1181605 1197903 1287657 1328535 1383039 1426945 1430541 1446627 1475955 1479465 1489019 1496313 1540161 1589055 1607151 1610973 1654247 1669185 1726515 1778193 1854405 1858815 1859949 1909911 1914453 1980207 1996505 1997723 2066337 2071251 2126889 2146095 2224677 2305065 2384235 2389905 2391363 2411045 2493855 2566935 2568501 2656719 2678585 2684955 2765321 2860299 2963655 3004533 3072173 3099915 3183185 3190755 3206385 3227091 3300345 3337929 3345867 3443895 3452085 3544815 3593709 3707795 3985605 4149117 4280835 4339881 4427865 4438395 4456459 4467057 4488939 4620483 4767165 4821453 4832919 4962741 5007555 5190913 5334579 5378485 5563215 5576445 5579847 5729733 5743359 5989515 5993169 6168793 6199011 6213753 6380667 6438285 6674031 6915195 7152705 7233135 7445095 7481565 7700805 7705503 8035755 8054865 8271235 8276281 8295963 8580897 8890965 9013599 9216519 9299745 9549555 9572265 9681273 9901035 9988615 10013787 10331685 10356255 10423133 10634445 10781127 11123385 11579729 11956815 12447351 12842505 13019643 13283595 13369377 13401171 13826605 13861449 13984061 14301495 14464359 14498757 14888223 15022665 15360865 15572739 16135455 16689645 16729335 16739541 17189199 17230077 17968545 17979507 18506379 18597033 19142001 19357247 20022093 20745585 21505211 21699405 22282295 22335285 22444695 23102415 23116509 24107265 24164595 24813705 24828843 24887889 25742691 25954565 26672895 27649557 27899235 28648665 28716795 29043819 29965845 30843965 30995055 31068765 31195213 31269399 31903335 32343381 33370155 34739187 37342053 38527515 39058929 40108131 40203513 41381405 41479815 41952183 42904485 43181551 43393077 43496271 44664669 45067995 46082595 46718217 48406365 50068935 51567597 51690231 52115665 53905635 53938521 55519137 57426003 57898645 57933967 58071741 60066279 62236755 64515633 65098215 66846885 67005855 69307245 69349527 69920305 72321795 72493785 74441115 74486529 74663667 77863695 80194309 82948671 83697705 85945995 86150385 87131457 89897535 92531895 92985165 93585639 93808197 95710005 96786235 97030143 100110465 104217561 107526055 115582545 117176787 120324393 120610539 124144215 124439445 125856549 128713455 129544653 130179231 133994007 135500729 138247785 140154651 145219095 150536477 154702791 155976065 156346995 161716905 161815563 166557411 173695935 173801901 174215223 178894997 180198837 186710265 193546899 195294645 200540655 201017565 209760915 215907755 216965385 217481355 223323345 223459587 223991001 233591085 240582927 248846013 257837985 258451155 261394371 269692605 277595685 280756917 281424591 287130015 289669835 290358705 300331395 302270857 312652683 322578165 346747635 360973179 361831617 372432645 373318335 377569647 388633959 400971545 401982021 405537769 406502187 414743355 420463953 435657285 451609431 467928195 469040985 485150715 485446689 499672233 521087805 521405703 522645669 536684991 561360163 580640697 585883935 601621965 603052695 629282745 647723265 650896155 669970035 670378761 671973003 677503645 700773255 721748781 746538039 752682385 773513955 809077815 832787055 842270751 844273773 869009505 871076115 894474985 900994185 906812571 937958049 967734495 1082919537 1117297935 1119955005 1132708941 1165901877 1202914635 1216613307 1219506561 1244230065 1252264979 1261391859 1306971855 1354828293 1403784585 1407122955 1499016699 1511354285 1563263415 1564217109 1567937007 1610054973 1684080489 1741922091 1804865895 1809158085 1887848235 1943169795 2009910105 2011136283 2027688845 2032510935 2102319765 2165246343 2258047155 2325634961 2427233445 2498361165 2526812253 2532821319 2607028515 2613228345 2683424955 2720437713 2806800815 2813874147 2903203485 3351893805 3359865015 3398126823 3497705631 3608743905 3649839921 3658519683 3732690195 3756794937 3929521141 4064484879 4211353755 4221368865 4534062855 4689790245 4692651327 4703811021 4830164919 5052241467 5225766273 5414597685 5663544705 5829509385 6083066535 6097532805 6261324895 6306959295 6495739029 6774141465 6976904883 7495083495 7580436759 7821085545 7839685035 8050274865 8161313139 8420402445 8709610455 8765854853 10055681415 10493116893 10826231715 10949519763 10975559049 11270384811 11628174805 11788563423 12193454637 12634061265 12664106595 13602188565 14069370735 14077953981 14490494757 15156724401 16279444727 16990634115 17488528155 18249199605 18292598415 18783974685 19487217087 19647605705 20322424395 20930714649 23463256635 23519055105 24150824595 24483939417 25261207335 26128831365 26297564559 32478695145 32848559289 32926677147 33811154433 34884524415 35365690269 36580363911 37902183795 40806565695 43471484271 43829274265 45470173203 48838334181 52465584465 54747598815 54877795245 56351924055 58942817115 60967273185 62792143947 70389769905 72452473785 73451818251 75783622005 78892693677 81397223635 97436085435 98545677867 101433463299 104653573245 106097070807 113956113089 122419697085 131487822795 136410519609 146515002543 164242796445 164633385735 169055772165 176828451345 182901819555 188376431841 217357421355 227350866015 236678081031 244191670905 304300389897 313960719735 318291212421 341868339267 367259091255 394463468385 439545007629 492728389335 507167316495 530485354035 565129295523 569780565445 682052598045 710034243093 732575012715 941882159205 954873637263 1025605017801 1183390405155 1318635022887 1521501949485 1591456062105 1709341696335 2130102729279 2197725038145 2825646477615 3076815053403 3550171215465 3955905068661 4774368186315 5128025089005 6593175114435 9230445160209 10650513646395 15384075267015 19779525343305 27691335480627 46152225801045 138456677403135
- Sum of all divisors σ(n): 324483034180032
- Sum of proper divisors (its aliquot sum) s(n): 186026356776897
- 138456677403135 is an abundant number, because the sum of its proper divisors (186026356776897) is greater than itself. Its abundance is 47569679373762
Bases of 138456677403135
- Binary: 111110111101100111101010001001011001001111111112
- Hexadecimal: 0x7DECF512C9FF
- Base-36: 1D2U4AVOXR
Squares and roots of 138456677403135
- 138456677403135 squared (1384566774031352) is 19170251517515794127307828225
- 138456677403135 cubed (1384566774031353) is 2654249330097643495396886517632549656485375
-
The
square root of 138456677403135 is 11766761.5512142933 -
The
cube root of 138456677403135 is 51733.4333495095
Scales and comparisons
How big is 138456677403135?- 138,456,677,403,135 seconds is equal to 4,402,494 years, 3 weeks, 3 days, 7 hours, 32 minutes, 15 seconds.
-
To count from 1 to 138,456,677,403,135 would take you about eleven million, six thousand, two hundred thirty-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 138456677403135 cubic inches would be around 4311.1 feet tall.
Recreational maths with 138456677403135
- 138456677403135 backwards is 531304776654831
- 138456677403135 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138456677403135's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138456677403135 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 138456677403135 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138456677403135/
Chicago style:
Numbermatics. 2024. "Number 138456677403135 - Facts about the integer". https://numbermatics.com/n/138456677403135/
The information we have on file for 138456677403135 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 138456677403135, math, Factors of 138456677403135, curriculum, school, college, exams, university, Prime factorization of 138456677403135, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred fifty-six billion, six hundred seventy-seven million, four hundred three thousand, one hundred thirty-five.