138408007170048
138,408,007,170,048 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138408007170048 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
138408007170048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138408007170048:
211 × 3 × 72 × 11 × 232 × 412 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 23 × 23 × 41 × 41 × 47)See below for interesting mathematical facts about the number 138408007170048 from the Numbermatics database.
Names of 138408007170048
- Cardinal: 138408007170048 can be written as One hundred thirty-eight trillion, four hundred eight billion, seven million, one hundred seventy thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38408007170048 × 1014
Factors of 138408007170048
Divisors of 138408007170048
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 41 42 44 46 47 48 49 56 64 66 69 77 82 84 88 92 94 96 98 112 123 128 132 138 141 147 154 161 164 168 176 184 188 192 196 224 231 246 253 256 264 276 282 287 294 308 322 328 329 336 352 368 376 384 392 448 451 462 483 492 506 512 517 528 529 539 552 564 574 588 616 644 656 658 672 704 736 752 759 768 784 861 896 902 924 943 966 984 987 1012 1024 1034 1056 1058 1078 1081 1104 1127 1128 1148 1176 1232 1288 1312 1316 1344 1353 1408 1472 1504 1518 1536 1551 1568 1587 1617 1681 1722 1771 1792 1804 1848 1886 1927 1932 1968 1974 2009 2024 2048 2068 2112 2116 2156 2162 2208 2254 2256 2296 2303 2352 2464 2576 2624 2632 2688 2706 2816 2829 2944 3008 3036 3072 3102 3136 3157 3174 3234 3243 3362 3381 3444 3542 3584 3608 3619 3696 3703 3772 3854 3864 3936 3948 4018 4048 4136 4224 4232 4312 4324 4416 4508 4512 4592 4606 4704 4928 5043 5152 5248 5264 5313 5376 5412 5632 5658 5781 5819 5888 6016 6027 6072 6144 6204 6272 6314 6348 6468 6486 6601 6724 6762 6888 6909 7084 7168 7216 7238 7392 7406 7544 7567 7708 7728 7872 7896 8036 8096 8272 8448 8464 8624 8648 8832 9016 9024 9184 9212 9408 9471 9856 10086 10304 10373 10496 10528 10626 10752 10824 10857 11109 11264 11316 11562 11638 11767 11776 11891 12032 12054 12144 12397 12408 12544 12628 12696 12936 12972 13202 13448 13489 13524 13776 13818 14168 14336 14432 14476 14784 14812 15088 15134 15416 15456 15744 15792 16072 16192 16544 16896 16928 17248 17296 17457 17664 18032 18048 18368 18424 18491 18816 18942 19712 19803 20172 20608 20746 20992 21056 21197 21252 21504 21648 21689 21714 22099 22218 22528 22632 22701 23124 23276 23534 23552 23782 24064 24108 24288 24794 24816 24863 25088 25256 25333 25392 25872 25921 25944 26404 26896 26978 27048 27552 27636 28336 28864 28952 29568 29624 30176 30268 30832 30912 31119 31488 31584 32144 32384 33088 33792 33856 34496 34592 34914 35301 35328 35673 36064 36096 36736 36848 36982 37191 37632 37884 38663 39424 39606 40344 40467 40733 41216 41492 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44618957824 45054689834 45588935168 46013300256 47013589392 48924710912 49150570728 51148561408 51491074096 52586628864 52746953952 53729816448 56172080832 58846941824 60099004416 60282233088 61351067008 61405504512 62684785856 64018504704 64196663808 65410211328 65534094304 66928436736 67582034751 68383402752 68893980672 70115505152 70329271936 71639755264 71825639424 73387066368 74896107776 76722842112 77236611144 78152460288 80376310784 82336708608 85595551744 87213615104 88270412736 89237915648 90109379668 91177870336 92026600512 94027178784 98301141456 102297122816 102982148192 105173257728 105493907904 107459632896 112344161664 117693883648 120564466176 122702134016 122811009024 125369571712 128037009408 128393327616 130820422656 131068188608 133856873472 135164069502 136766805504 140231010304 140658543872 143279510528 146774132736 149792215552 153445684224 154473222288 160752621568 176540825472 180218759336 182355740672 184053201024 188054357568 196602282912 205964296384 210346515456 210987815808 214919265792 224688323328 235387767296 241128932352 245404268032 250739143424 256786655232 261640845312 262136377216 267713746944 270328139004 273533611008 281317087744 286559021056 299584431104 306891368448 308946444576 353081650944 360437518672 368106402048 376108715136 393204565824 411928592768 420693030912 421975631616 429838531584 449376646656 470775534592 482257864704 490808536064 501478286848 524272754432 540656278008 547067222016 562634175488 599168862208 617892889152 706163301888 720875037344 736212804096 752217430272 786409131648 823857185536 843951263232 859677063168 898753293312 941551069184 981617072128 1002956573696 1048545508864 1081312556016 1125268350976 1235785778304 1412326603776 1441750074688 1472425608192 1504434860544 1572818263296 1647714371072 1687902526464 1797506586624 2005913147392 2097091017728 2162625112032 2471571556608 2824653207552 2883500149376 2944851216384 3008869721088 3145636526592 3295428742144 3375805052928 4194182035456 4325250224064 4943143113216 5767000298752 6017739442176 6291273053184 6590857484288 8650500448128 9886286226432 11534000597504 12582546106368 17301000896256 19772572452864 23068001195008 34602001792512 46136002390016 69204003585024 138408007170048
- Sum of all divisors σ(n): 512414776823040
- Sum of proper divisors (its aliquot sum) s(n): 374006769652992
- 138408007170048 is an abundant number, because the sum of its proper divisors (374006769652992) is greater than itself. Its abundance is 235598762482944
Bases of 138408007170048
- Binary: 111110111100001101000000001100111111000000000002
- Hexadecimal: 0x7DE1A019F800
- Base-36: 1D27RDVOQO
Squares and roots of 138408007170048
- 138408007170048 squared (1384080071700482) is 19156776448784058577588322304
- 138408007170048 cubed (1384080071700483) is 2651451252078310642658086149572027159150592
-
The
square root of 138408007170048 is 11764693.2458967241 -
The
cube root of 138408007170048 is 51727.3708675063
Scales and comparisons
How big is 138408007170048?- 138,408,007,170,048 seconds is equal to 4,400,946 years, 26 weeks, 1 day, 10 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,408,007,170,048 would take you about eleven million, two thousand, three hundred sixty-six 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 138408007170048 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138408007170048
- 138408007170048 backwards is 840071700804831
- The number of decimal digits it has is: 15
- The sum of 138408007170048's digits is 51
- More coming soon!
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Cite this page
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"Number 138408007170048 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138408007170048 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138408007170048/
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The information we have on file for 138408007170048 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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