138748522881375
138,748,522,881,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138748522881375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138748522881375 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 138748522881375:
32 × 53 × 11 × 31 × 372 × 612 × 71
(3 × 3 × 5 × 5 × 5 × 11 × 31 × 37 × 37 × 61 × 61 × 71)See below for interesting mathematical facts about the number 138748522881375 from the Numbermatics database.
Names of 138748522881375
- Cardinal: 138748522881375 can be written as One hundred thirty-eight trillion, seven hundred forty-eight billion, five hundred twenty-two million, eight hundred eighty-one thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38748522881375 × 1014
Factors of 138748522881375
Divisors of 138748522881375
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 9 11 15 25 31 33 37 45 55 61 71 75 93 99 111 125 155 165 183 185 213 225 275 279 305 333 341 355 375 407 465 495 549 555 639 671 775 781 825 915 925 1023 1065 1125 1147 1221 1369 1375 1395 1525 1665 1705 1775 1891 2013 2035 2201 2257 2325 2343 2475 2627 2745 2775 3069 3195 3355 3441 3663 3721 3875 3905 4107 4125 4331 4575 4625 5115 5325 5673 5735 6039 6105 6603 6771 6845 6975 7029 7625 7881 8325 8525 8875 9455 10065 10175 10323 11005 11163 11285 11625 11715 12321 12375 12617 12993 13135 13725 13875 15059 15345 15975 16775 17019 17205 18315 18605 19525 19809 20313 20535 20801 21655 22875 23643 24211 24827 25575 26625 28365 28675 28897 30195 30525 33015 33489 33855 34225 34875 35145 37851 38979 39405 40931 41625 42439 42625 45177 47275 47641 50325 50875 51615 55025 55815 56425 58575 61605 62403 63085 64965 65675 68625 69967 72633 74481 75295 76725 79875 81437 83509 83875 85095 86025 86691 91575 93025 97199 97625 99045 101565 102675 104005 108275 113553 115351 118215 121055 122793 124135 127317 127875 134261 135531 137677 141825 142923 143375 144485 150975 152625 160247 165075 167445 169275 171125 175725 187209 189255 194895 197025 204655 209901 212195 217899 223443 225885 236375 238205 244311 250527 251625 258075 260073 264191 275125 279075 282125 291597 292875 308025 312015 315425 324825 328375 346053 349835 363165 368379 372405 376475 381951 383625 402783 407185 413031 417545 425475 428769 430125 433455 457875 465125 466829 480741 485995 495225 507825 513375 520025 541375 567765 576755 591075 605275 613965 620675 629703 636585 671305 677655 688385 709125 714615 722425 732933 751581 754875 769637 792573 801235 825375 837225 846375 874791 878625 895807 918599 936045 946275 974475 985125 1023275 1038159 1049505 1060975 1069189 1089495 1117215 1129425 1191025 1208349 1221555 1239093 1252635 1268861 1290375 1300365 1320955 1395375 1400487 1442223 1457985 1476871 1514447 1540125 1560075 1577125 1624125 1730265 1749175 1762717 1815825 1841895 1862025 1882375 1909755 2013915 2035925 2065155 2087725 2127375 2143845 2167275 2308911 2334145 2377719 2403705 2429975 2476125 2539125 2588779 2600125 2687421 2755797 2838825 2883775 2906101 2955375 3013169 3026375 3069825 3103375 3148515 3182925 3207567 3356525 3388275 3441925 3573075 3612125 3664665 3757905 3806583 3848185 3962865 4006175 4186125 4201461 4267987 4373955 4430613 4479035 4543341 4592995 4680225 4731375 4872375 4967657 5094049 5116375 5190795 5247525 5288151 5304875 5345945 5447475 5586075 5647125 5929139 5955125 6041745 6107775 6195465 6263175 6344305 6501825 6604775 6926733 7002435 7211115 7289925 7384355 7572235 7766337 7800375 8062263 8189921 8267391 8651325 8718303 8745875 8813585 9039507 9079125 9209475 9310125 9548775 9622701 9775067 10069575 10179625 10325775 10438625 10719225 10836375 11419749 11544555 11670725 11888595 12018525 12149875 12803961 12943895 13291839 13437105 13630023 13778985 14194125 14418875 14530505 14902971 15065845 15282147 15349125 15742575 15864453 15914625 16037835 16782625 16941375 17209625 17787417 17865375 18323325 18789525 19032915 19240925 19814325 20030875 21007305 21339935 21869775 22153065 22395175 22716705 22964975 23299011 23401125 24569763 24838285 25470245 25953975 26154909 26237625 26440755 26729725 27118521 27237375 27930375 28476569 29325201 29645695 30208725 30538875 30977325 31315875 31721525 32509125 33023875 33144859 34633665 35012175 36055575 36449625 36921775 37861175 38411883 38831685 40311315 40949605 41336955 43256625 43591515 44067925 44708913 45197535 45846441 46047375 46947857 47743875 48113505 48875335 50347875 51628875 53362251 53596125 54644227 56034539 57098745 57722775 58353625 59442975 60092625 64019805 64719475 65220529 66459195 67185525 68150115 68894925 72652525 73709289 74514855 75329225 76410735 78712875 79322265 80189175 85429707 87975603 88937085 90089131 91616625 93947625 95164575 96204625 99071625 99434577 105036525 106699675 107525737 109348875 110765325 111975875 113583525 114824875 116495055 122848815 124191425 127351225 129769875 130774545 132203775 133648625 135592605 140843571 142382845 146626005 148228475 151043625 154886625 157915519 158607625 163932681 165724295 168103617 173168325 175060875 180277875 183803309 184608875 189305875 192059415 194158425 195661587 201556575 204748025 206684775 217957575 220339625 223544565 225987675 229232205 234739285 240567525 244376675 256289121 266811255 270267393 273221135 280172695 285493725 288613875 297214875 298303731 303027077 320099025 322577211 323597375 326102645 332295975 335927625 340750575 344474625 361677479 363262625 368546445 372574275 376646125 382053675 396611325 400945875 422530713 427148535 439878015 444685425 450445655 473746557 475822875 491798043 497172885 504310851 525182625 533498375 537628685 551409927 553826625 567917625 582475275 586984761 614244075 620957125 636756125 653872725 661018875 677963025 704217855 711914225 733130025 741142375 789577595 810802179 819663405 828621475 840518085 865841625 909081231 919016545 960297075 967731633 970792125 978307935 1007782875 1023740125 1033423875 1085032437 1089787875 1117722825 1129938375 1146161025 1173696425 1202837625 1221883375 1281445605 1334056275 1351336965 1366105675 1400863475 1421239671 1427468625 1491518655 1515135385 1600495125 1612886055 1630513225 1654229781 1661479875 1703752875 1737070709 1808387395 1842732225 1862871375 1910268375 1983056625 2021836399 2112653565 2135742675 2199390075 2223427125 2252228275 2368732785 2458990215 2485864425 2521554255 2688143425 2727243693 2757049635 2912376375 2934923805 3071220375 3255097311 3269363625 3333297847 3389815125 3521089275 3559571125 3665650125 3947887975 3978452269 4054010895 4098317025 4143107375 4202590425 4545406155 4595082725 4801485375 4838658165 4891539675 5211212127 5425162185 5588614125 5730805125 5868482125 6065509197 6407228025 6670281375 6756684825 6830528375 7004317375 7106198355 7457593275 7575676925 8064430275 8152566125 8271148905 8685353545 9041936975 9213661125 9999893541 10109181995 10563267825 10678713375 10996950375 11212001849 11261141375 11843663925 11935356807 12294951075 12429322125 12607771275 13440717125 13636218465 13785248175 14674619025 15633636381 16275486555 16666489235 17605446375 18196527591 19739439875 19892261345 20270054475 20491585125 21012952125 22727030775 22975413625 24193290825 24457698375 26056060635 27125810925 29999680623 30327545985 32036140125 33636005547 33783424125 35530991775 35806070421 37287966375 37878384625 40322151375 41355744525 43426767725 45209684875 49999467705 50545909975 52816339125 56060009245 59218319625 59676784035 61474755375 63038856375 68181092325 68926240875 73373095125 78168181905 81377432775 83332446175 90982637955 99461306725 100908016641 101350272375 113635153875 120966454125 123332020339 130280303175 135629054625 149998403115 151637729925 168180027735 177654958875 179030352105 206778722625 217133838625 249997338525 252729549875 280300046225 298383920175 340905461625 369996061017 390840909525 406887163875 416662230875 454913189775 497306533625 504540083205 616660101695 651401515875 749992015575 758188649625 840900138675 895151760525 1109988183051 1249986692625 1401500231125 1491919600875 1849980305085 1954204547625 2274565948875 2522700416025 3083300508475 3749960077875 4204500693375 4475758802625 5549940915255 9249901525425 12613502080125 15416502542375 27749704576275 46249507627125 138748522881375
- Sum of all divisors σ(n): 298443490136064
- Sum of proper divisors (its aliquot sum) s(n): 159694967254689
- 138748522881375 is an abundant number, because the sum of its proper divisors (159694967254689) is greater than itself. Its abundance is 20946444373314
Bases of 138748522881375
- Binary: 111111000110000111010000110101101100001010111112
- Hexadecimal: 0x7E30E86B615F
- Base-36: 1D6K6W555R
Squares and roots of 138748522881375
- 138748522881375 squared (1387485228813752) is 19251152601763441932321890625
- 138748522881375 cubed (1387485228813753) is 2671068987258616786121739985564612599609375
-
The
square root of 138748522881375 is 11779156.2890291513 -
The
cube root of 138748522881375 is 51769.7565592327
Scales and comparisons
How big is 138748522881375?- 138,748,522,881,375 seconds is equal to 4,411,773 years, 44 weeks, 1 day, 11 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,748,522,881,375 would take you about eleven million, twenty-nine thousand, four hundred thirty-four 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 138748522881375 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138748522881375
- 138748522881375 backwards is 573188225847831
- The number of decimal digits it has is: 15
- The sum of 138748522881375's digits is 72
- More coming soon!
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The information we have on file for 138748522881375 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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