138018349153115839410816
138,018,349,153,115,839,410,816 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138018349153115839410816 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138018349153115839410816 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138018349153115839410816:
27 × 3 × 112 × 19 × 127 × 5113 × 30941 × 7781311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 127 × 5113 × 30941 × 7781311)See below for interesting mathematical facts about the number 138018349153115839410816 from the Numbermatics database.
Names of 138018349153115839410816
- Cardinal: 138018349153115839410816 can be written as One hundred thirty-eight sextillion, eighteen quintillion, three hundred forty-nine quadrillion, one hundred fifty-three trillion, one hundred fifteen billion, eight hundred thirty-nine million, four hundred ten thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38018349153115839410816 × 1023
Factors of 138018349153115839410816
Divisors of 138018349153115839410816
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 121 127 128 132 152 176 192 209 228 242 254 264 304 352 363 381 384 418 456 484 508 528 608 627 704 726 762 836 912 968 1016 1056 1216 1254 1397 1408 1452 1524 1672 1824 1936 2032 2112 2299 2413 2432 2508 2794 2904 3048 3344 3648 3872 4064 4191 4224 4598 4826 5016 5113 5588 5808 6096 6688 6897 7239 7296 7744 8128 8382 9196 9652 10032 10226 11176 11616 12192 13376 13794 14478 15339 15367 15488 16256 16764 18392 19304 20064 20452 22352 23232 24384 26543 26752 27588 28956 30678 30734 30941 33528 36784 38608 40128 40904 44704 46101 46464 48768 53086 55176 56243 57912 61356 61468 61882 67056 73568 77216 79629 80256 81808 89408 92202 92823 97147 106172 110352 112486 115824 122712 122936 123764 134112 147136 154432 159258 163616 168729 178816 184404 185646 194294 212344 220704 224972 231648 245424 245872 247528 268224 291441 291973 294272 308864 318516 327232 337458 340351 368808 371292 388588 424688 441408 449944 463296 490848 491744 495056 536448 582882 583946 587879 618673 637032 649351 654464 674916 680702 737616 742584 777176 849376 875919 882816 899888 926592 981696 983488 990112 1021053 1068617 1165764 1167892 1175758 1237346 1274064 1298702 1349832 1361404 1475232 1485168 1554352 1698752 1751838 1763637 1799776 1856019 1948053 1963392 1966976 1980224 2042106 2137234 2331528 2335784 2351516 2474692 2548128 2597404 2699664 2722808 2950464 2970336 3108704 3205851 3397504 3503676 3527274 3599552 3712038 3743861 3896106 3929507 3960448 4084212 4274468 4663056 4671568 4703032 4949384 5096256 5194808 5399328 5445616 5900928 5940672 6217408 6411702 6466669 7007352 7054548 7142861 7199104 7424076 7487722 7781311 7792212 7859014 8168424 8548936 9326112 9343136 9406064 9898768 10192512 10389616 10798656 10891232 11231583 11754787 11788521 11881344 12337669 12434816 12823404 12933338 14014704 14109096 14285722 14848152 14975444 15562622 15584424 15718028 16336848 17097872 18652224 18686272 18812128 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1420716534253408128 1486898173438865792 1496912747588076608 1543691270950204002 1687100884425922152 1719726240444525511 1733267391944088704 1787431997942341476 1876064989575846012 2058255027933605336 2230347260158298688 2245369121382114912 2249467845901229536 2383242663923121968 2453964922801341312 2501419986101128016 2599901087916133056 2830100663408707337 2970436233495089519 2993825495176153216 3087382541900408004 3374201768851844304 3439452480889051022 3574863995884682952 3752129979151692024 4116510055867210672 4460694520316597376 4490738242764229824 4498935691802459072 4766485327846243936 5002839972202256032 5159178721333576533 5199802175832266112 5660201326817414674 5940872466990179038 6174765083800816008 6748403537703688608 6878904961778102044 7149727991769365904 7504259958303384048 8233020111734421344 8490301990226122011 8911308700485268557 8981476485528459648 8997871383604918144 9532970655692487872 10005679944404512064 10318357442667153066 11320402653634829348 11881744933980358076 12349530167601632016 13496807075407377216 13757809923556204088 14299455983538731808 15008519916606768096 16466040223468842688 16980603980452244022 17822617400970537114 18916988644889780621 19065941311384975744 20011359888809024128 20636714885334306132 22640805307269658696 23763489867960716152 24699060335203264032 26993614150814754432 27515619847112408176 28598911967077463616 30017039833213536192 32674798568445984709 32932080446937685376 33961207960904488044 35645234801941074228 37833977289779561242 41273429770668612264 45281610614539317392 47526979735921432304 49398120670406528064 55031239694224816352 56750965934669341863 57197823934154927232 60034079666427072384 65349597136891969418 67922415921808976088 71290469603882148456 75667954579559122484 82546859541337224528 90563221229078634784 95053959471842864608 98024395705337954127 98796241340813056128 110062479388449632704 113501931869338683726 130699194273783938836 135844831843617952176 142580939207764296912 151335909159118244968 165093719082674449056 181126442458157269568 190107918943685729216 196048791410675908254 220124958776899265408 227003863738677367452 261398388547567877672 271689663687235904352 285161878415528593824 302671818318236489936 330187438165348898112 359422784252905831799 362252884916314539136 380215837887371458432 392097582821351816508 454007727477354734904 522796777095135755344 543379327374471808704 570323756831057187648 605343636636472979872 660374876330697796224 718845568505811663598 784195165642703633016 908015454954709469808 1045593554190271510688 1078268352758717495397 1086758654748943617408 1140647513662114375296 1210687273272945959744 1437691137011623327196 1568390331285407266032 1816030909909418939616 2091187108380543021376 2156536705517434990794 2421374546545891919488 2875382274023246654392 3136780662570814532064 3632061819818837879232 4182374216761086042752 4313073411034869981588 5750764548046493308784 6273561325141629064128 7264123639637675758464 8626146822069739963176 11501529096092986617568 12547122650283258128256 17252293644139479926352 23003058192185973235136 34504587288278959852704 46006116384371946470272 69009174576557919705408 138018349153115839410816
- Sum of all divisors σ(n): 427615769557462981017600
- Sum of proper divisors (its aliquot sum) s(n): 289597420404347141606784
- 138018349153115839410816 is an abundant number, because the sum of its proper divisors (289597420404347141606784) is greater than itself. Its abundance is 151579071251231302195968
Bases of 138018349153115839410816
- Binary: 111010011100111111101010111001111011000110100011110010001110000110010100000002
- Hexadecimal: 0x1D39FD5CF634791C3280
- Base-36: MH3QPN2Q15JN5HC
Squares and roots of 138018349153115839410816
- 138018349153115839410816 squared (1380183491531158394108162) is 19049064702951391745904374404046794198017785856
- 138018349153115839410816 cubed (1380183491531158394108163) is 2629120463212240048005297955523899506084395240543384967516647898218496
-
The
square root of 138018349153115839410816 is 371508208729.1152163173 -
The
cube root of 138018349153115839410816 is 51678782.8082987043
Scales and comparisons
How big is 138018349153115839410816?- 138,018,349,153,115,839,410,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,018,349,153,115,839,410,816 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138018349153115839410816 cubic inches would be around 4306565.2 feet tall.
Recreational maths with 138018349153115839410816
- 138018349153115839410816 backwards is 618014938511351943810831
- The number of decimal digits it has is: 24
- The sum of 138018349153115839410816's digits is 93
- More coming soon!
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"Number 138018349153115839410816 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138018349153115839410816 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138018349153115839410816/
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Numbermatics. 2024. "Number 138018349153115839410816 - Facts about the integer". https://numbermatics.com/n/138018349153115839410816/
The information we have on file for 138018349153115839410816 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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