138334678884271125
138,334,678,884,271,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138334678884271125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138334678884271125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138334678884271125:
34 × 53 × 192 × 23 × 47 × 612 × 972
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 23 × 47 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 138334678884271125 from the Numbermatics database.
Names of 138334678884271125
- Cardinal: 138334678884271125 can be written as One hundred thirty-eight quadrillion, three hundred thirty-four trillion, six hundred seventy-eight billion, eight hundred eighty-four million, two hundred seventy-one thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38334678884271125 × 1017
Factors of 138334678884271125
Divisors of 138334678884271125
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 9 15 19 23 25 27 45 47 57 61 69 75 81 95 97 115 125 135 141 171 183 207 225 235 285 291 305 345 361 375 405 423 437 475 485 513 549 575 621 675 705 855 873 893 915 1035 1081 1083 1125 1159 1175 1269 1311 1403 1425 1455 1525 1539 1647 1725 1805 1843 1863 2025 2115 2185 2231 2375 2425 2565 2619 2679 2745 2867 2875 3105 3243 3249 3375 3477 3525 3721 3807 3933 4209 4275 4365 4465 4559 4575 4941 5175 5405 5415 5529 5795 5875 5917 6345 6555 6693 7015 7125 7275 7625 7695 7857 8037 8235 8303 8601 8625 9025 9215 9315 9409 9729 9747 10125 10431 10575 10925 11155 11163 11799 12125 12627 12825 13095 13395 13677 13725 14335 15525 16215 16245 16587 16967 17385 17625 17751 18605 19035 19665 20079 20539 21045 21375 21825 22021 22325 22795 22875 24111 24705 24909 25803 25875 26657 27025 27075 27645 28227 28975 29187 29241 29585 31293 31725 32775 33465 33489 35017 35075 35397 36375 37881 38475 39285 40185 41031 41175 41515 42389 43005 45125 46075 46575 47045 48645 48735 49761 50901 52155 52875 53253 54473 54625 55775 55815 58995 60237 61617 63135 64125 65475 65941 66063 66975 68385 68625 70699 71675 72333 74727 77409 77625 79971 81075 81225 82935 84681 84835 85583 86621 86925 87561 88755 93025 93879 95175 98325 100395 100467 102695 104857 105051 105225 109125 110105 111625 112423 113643 113975 120555 123093 123525 124545 127167 129015 133285 135125 135375 136091 138225 141135 144875 145935 146205 147925 149283 152703 156465 158625 159759 163419 163875 167325 167445 174887 175085 175375 176985 178771 180711 184851 189405 192375 196425 197823 198189 200925 205155 205875 207575 211945 212097 215025 216407 224181 230375 232227 232875 235225 239913 243225 243675 248805 254043 254505 256749 259863 260775 266265 272365 278099 278875 279075 294975 301185 301401 308085 314571 315153 315675 327375 329705 330315 334875 337269 341925 353495 358375 360937 361665 369279 373635 381501 387045 390241 399855 405375 406125 408273 414675 423405 424175 427915 433105 434625 437805 442223 443775 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16038803348901 16083557596125 16660806802875 16798382378175 17212228304625 17606551977125 17977216229275 18142252968429 19015076135295 19415393527617 19719840183075 20668561016625 21103688616975 21802155852525 23379191969625 23546328320727 23871385484775 25019837020125 25546570431075 25593835131225 26731338914835 27997303963625 30237088280715 30343206598875 30982010948325 31691793558825 32358989212695 32866400305125 35172814361625 36336926420875 37176747886125 39243880534545 39785642474625 40988053002747 42577617385125 42656391885375 44552231524725 48116410046703 48250672788375 50395147134525 51636684913875 52819655931375 53931648687825 57045228405885 58246180582851 62005683049875 63311065850925 65406467557575 68313421671245 74253719207875 75059511060375 76639711293225 80194016744505 83991911890875 89886081146375 90711264842145 95075380676475 97076967638085 98599200915375 105518443084875 109010779262625 117731641603635 119356927423875 122964159008241 127732852155375 127969175656125 133656694574175 151185441403575 154910054741625 158458967794125 161794946063475 196219402672725 204940265013735 222761157623625 240582050233515 251975735672625 269658243439125 285226142029425 291230902914255 316555329254625 327032337787875 341567108356225 368892477024723 383198556466125 400970083722525 453556324210725 475376903382375 485384838190425 588658208018175 614820795041205 668283472870875 755927207017875 808974730317375 981097013363625 1024701325068675 1106677431074169 1202910251167575 1426130710147125 1456154514571275 1707835541781125 1844462385123615 2004850418612625 2267781621053625 2426924190952125 2943291040090875 3074103975206025 5123506625343375 5533387155370845 6014551255837875 7280772572856375 9222311925618075 15370519876030125 27666935776854225 46111559628090375 138334678884271125
- Sum of all divisors σ(n): 297966375816924672
- Sum of proper divisors (its aliquot sum) s(n): 159631696932653547
- 138334678884271125 is an abundant number, because the sum of its proper divisors (159631696932653547) is greater than itself. Its abundance is 21297018048382422
Bases of 138334678884271125
- Binary: 1111010110111011010101000010100110000001111000100000101012
- Hexadecimal: 0x1EB76A85303C415
- Base-36: 11U3JU5S4OB9
Squares and roots of 138334678884271125
- 138334678884271125 squared (1383346788842711252) is 19136483382014407465080922508765625
- 138334678884271125 cubed (1383346788842711253) is 2647239283625153736800450514548550474707751580078125
-
The
square root of 138334678884271125 is 371933702.2700028525 -
The
cube root of 138334678884271125 is 517182.3423453351
Scales and comparisons
How big is 138334678884271125?- 138,334,678,884,271,125 seconds is equal to 4,398,614,891 years, 13 weeks, 4 days, 19 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,334,678,884,271,125 would take you about thirteen billion, one hundred ninety-five million, eight hundred forty-four thousand, six hundred seventy-three 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 138334678884271125 cubic inches would be around 43098.5 feet tall.
Recreational maths with 138334678884271125
- 138334678884271125 backwards is 521172488876433831
- 138334678884271125 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138334678884271125's digits is 81
- More coming soon!
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Cite this page
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"Number 138334678884271125 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138334678884271125 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138334678884271125/
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The information we have on file for 138334678884271125 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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