138082213833408
138,082,213,833,408 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138082213833408 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138082213833408 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138082213833408:
26 × 33 × 13 × 23 × 312 × 47 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 23 × 31 × 31 × 47 × 61 × 97)See below for interesting mathematical facts about the number 138082213833408 from the Numbermatics database.
Names of 138082213833408
- Cardinal: 138082213833408 can be written as One hundred thirty-eight trillion, eighty-two billion, two hundred thirteen million, eight hundred thirty-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38082213833408 × 1014
Factors of 138082213833408
Divisors of 138082213833408
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 31 32 36 39 46 47 48 52 54 61 62 64 69 72 78 92 93 94 96 97 104 108 117 122 124 138 141 144 156 183 184 186 188 192 194 207 208 216 234 244 248 276 279 282 288 291 299 312 351 366 368 372 376 388 403 414 416 423 432 468 488 496 549 552 558 564 576 582 598 611 621 624 702 713 732 736 744 752 776 793 806 828 832 837 846 864 873 897 936 961 976 992 1081 1098 1104 1116 1128 1164 1196 1209 1222 1242 1248 1261 1269 1403 1404 1426 1457 1464 1472 1488 1504 1552 1586 1612 1647 1656 1674 1692 1728 1746 1794 1833 1872 1891 1922 1952 1984 2139 2162 2196 2208 2231 2232 2256 2328 2379 2392 2418 2444 2484 2496 2522 2538 2619 2691 2806 2808 2852 2867 2883 2914 2928 2976 3007 3008 3104 3172 3224 3243 3294 3312 3348 3384 3492 3588 3627 3666 3744 3782 3783 3844 3904 4209 4278 4324 4371 4392 4416 4462 4464 4512 4559 4656 4758 4784 4836 4888 4968 5044 5076 5238 5382 5499 5612 5616 5673 5704 5734 5766 5828 5856 5917 5952 6014 6208 6344 6417 6448 6486 6588 6624 6693 6696 6768 6984 7137 7176 7254 7332 7488 7564 7566 7688 8073 8418 8556 8601 8648 8649 8742 8784 8924 8928 9021 9024 9118 9269 9312 9516 9568 9672 9729 9776 9936 10088 10152 10476 10764 10881 10998 11224 11232 11346 11349 11408 11468 11532 11656 11712 11834 12028 12493 12627 12688 12834 12896 12972 13113 13176 13248 13386 13392 13536 13677 13968 14053 14274 14352 14508 14664 15128 15132 15376 16146 16497 16836 17019 17112 17202 17296 17298 17484 17568 17751 17848 17856 18042 18236 18239 18538 18624 18941 19032 19136 19251 19344 19458 19552 19872 20079 20176 20304 20952 21411 21528 21762 21996 22103 22448 22464 22692 22698 22816 22936 23064 23312 23668 24056 24583 24986 25254 25376 25668 25792 25803 25944 25947 26226 26352 26772 26784 27063 27072 27354 27807 27936 28106 28548 28704 29003 29016 29187 29328 30256 30264 30752 32292 32994 33511 33672 34038 34047 34224 34404 34592 34596 34968 35136 35502 35696 36084 36472 36478 37076 37271 37479 37881 37882 38064 38502 38688 38916 39091 39104 39339 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250148938104 251515872192 278391560148 282955356216 295047465456 319634754244 326435493696 331928398638 333531917472 342635766336 355881994416 367239930408 371188746864 375223407156 377273808288 393396620608 442571198184 461813424192 474509325888 479452131366 489653240544 494918329152 500297876208 556783120296 565910712432 590094930912 639269508488 663856797276 667063834944 711763988832 719178197049 734479860816 742377493728 750446814312 754547616576 885142396368 958904262732 979306481088 1000595752416 1113566240592 1131821424864 1180189861824 1278539016976 1327713594552 1423527977664 1438356394098 1468959721632 1484754987456 1500893628624 1770284792736 1917808525464 2001191504832 2157534591147 2227132481184 2263642849728 2557078033952 2655427189104 2876712788196 2937919443264 3001787257248 3540569585472 3835617050928 4315069182294 4454264962368 5114156067904 5310854378208 5753425576392 6003574514496 7671234101856 8630138364588 10621708756416 11506851152784 15342468203712 17260276729176 23013702305568 34520553458352 46027404611136 69041106916704 138082213833408
- Sum of all divisors σ(n): 494323481272320
- Sum of proper divisors (its aliquot sum) s(n): 356241267438912
- 138082213833408 is an abundant number, because the sum of its proper divisors (356241267438912) is greater than itself. Its abundance is 218159053605504
Bases of 138082213833408
- Binary: 111110110010101110001010100111000101010110000002
- Hexadecimal: 0x7D95C54E2AC0
- Base-36: 1CY23CXTC0
Squares and roots of 138082213833408
- 138082213833408 squared (1380822138334082) is 19066697777135011638376894464
- 138082213833408 cubed (1380822138334083) is 2632771839559321667854373095172979693453312
-
The
square root of 138082213833408 is 11750838.8565841545 -
The
cube root of 138082213833408 is 51686.7526181709
Scales and comparisons
How big is 138082213833408?- 138,082,213,833,408 seconds is equal to 4,390,587 years, 14 weeks, 5 days, 5 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,082,213,833,408 would take you about ten million, nine hundred seventy-six thousand, four hundred sixty-eight 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 138082213833408 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138082213833408
- 138082213833408 backwards is 804338312280831
- 138082213833408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138082213833408's digits is 54
- More coming soon!
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"Number 138082213833408 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138082213833408 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138082213833408/
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The information we have on file for 138082213833408 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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