34938152638125
34,938,152,638,125 is an odd composite number composed of seven prime numbers multiplied together.
34938152638125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 34938152638125:
3 × 54 × 112 × 312 × 37 × 61 × 71
(3 × 5 × 5 × 5 × 5 × 11 × 11 × 31 × 31 × 37 × 61 × 71)See below for interesting mathematical facts about the number 34938152638125 from the Numbermatics database.
Names of 34938152638125
- Cardinal: 34938152638125 can be written as Thirty-four trillion, nine hundred thirty-eight billion, one hundred fifty-two million, six hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.4938152638125 × 1013
Factors of 34938152638125
Divisors of 34938152638125
- Number of divisors d(n): 720
-
Complete list of divisors:
1 3 5 11 15 25 31 33 37 55 61 71 75 93 111 121 125 155 165 183 185 213 275 305 341 355 363 375 407 465 555 605 625 671 775 781 825 915 925 961 1023 1065 1147 1221 1375 1525 1705 1775 1815 1875 1891 2013 2035 2201 2257 2325 2343 2627 2775 2883 3025 3355 3441 3751 3875 3905 4125 4331 4477 4575 4625 4805 5115 5325 5673 5735 6105 6603 6771 6875 7381 7625 7881 8525 8591 8875 9075 9455 10065 10175 10571 11005 11253 11285 11625 11715 12617 12993 13135 13431 13875 14415 15125 16775 17205 18755 19375 19525 20625 20801 21655 22143 22385 22875 23125 24025 24211 24827 25575 25773 26625 28365 28675 28897 30525 31713 33015 33855 35557 36905 37851 38125 39405 42625 42955 44375 45375 47275 47641 50325 50875 52855 55025 56265 56425 58125 58575 58621 62403 63085 64965 65675 67155 68231 69375 69967 72075 72633 74481 75625 81437 83875 86025 86691 93775 97625 104005 106671 108275 110715 111925 114375 116281 120125 121055 124135 127875 128865 133125 134261 138787 141825 142923 143375 144485 152625 158565 160247 165075 169275 175863 177785 184525 189255 197025 204693 209901 213125 214775 226875 228811 236375 238205 244311 251625 254375 264275 266321 273097 275125 281325 282125 292875 293105 312015 315425 317867 324825 328375 335775 341155 348843 349835 360375 363165 372405 391127 402783 407185 416361 419375 430125 433455 468875 480741 488125 520025 524051 533355 541375 553575 559625 581405 600625 605275 620675 639375 644325 644831 671305 686433 693935 709125 714615 716875 722425 750541 763125 769637 792825 798963 801235 819291 825375 846375 879315 888925 895807 922625 946275 953601 985125 1023465 1049505 1073875 1144055 1173381 1181875 1191025 1221555 1258125 1321375 1331605 1365485 1375625 1406625 1410625 1464375 1465525 1476871 1560075 1572153 1577125 1589335 1624125 1641875 1678875 1705775 1744215 1749175 1762717 1801875 1815825 1862025 1934493 1955635 2013915 2035925 2081805 2150625 2167275 2168977 2251623 2308911 2344375 2403705 2524547 2600125 2620255 2666775 2687421 2706875 2767875 2798125 2907025 3026375 3103375 3221625 3224155 3356525 3432165 3469675 3545625 3573075 3612125 3752705 3848185 3964125 3994815 4006175 4096455 4126875 4162091 4231875 4302397 4396575 4430613 4444625 4479035 4613125 4731375 4768005 4925625 4967657 5117325 5247525 5288151 5369375 5720275 5866905 5955125 6107775 6506931 6606875 6658025 6827425 7033125 7093141 7327625 7384355 7573641 7800375 7860765 7885625 7946675 8120625 8255951 8394375 8466007 8528875 8721075 8745875 8813585 9079125 9310125 9672465 9778175 9853877 10069575 10179625 10409025 10836375 10844885 11258115 11544555 12018525 12486273 12622735 12907191 13000625 13101275 13333875 13437105 13839375 14535125 14902971 15131875 15516875 16108125 16120775 16245581 16782625 17160825 17348375 17865375 18060625 18763525 19240925 19389887 19820625 19974075 20030875 20482275 20810455 21279423 21511985 21982875 22153065 22223125 22395175 23656875 23840025 23858747 24767853 24838285 25398021 25586625 26237625 26440755 27770017 28601375 29334525 29561631 29775625 30538875 32534655 33290125 34137125 35465705 36638125 36921775 37868205 39001875 39303825 39733375 41279755 42330035 42644375 43605375 43729375 44067925 45395625 45783001 46550625 48362325 48736743 48890875 49269385 50347875 50898125 52045125 54181875 54224425 54644227 56290575 57722775 58169661 60092625 62431365 63113675 64535955 65506375 66669375 67185525 71576241 72675625 74514855 80603875 81227905 83310051 83913125 85804125 86741875 89326875 93817625 96204625 96949435 99870375 100154375 102411375 104052275 106397115 107559925 109914375 110765325 111975875 119200125 119293735 123839265 124191425 126990105 127933125 131188125 132203775 137349003 138850085 143006875 146672625 147808155 152694375 153997367 162673275 163932681 166450625 170685625 177328525 184608875 189341025 196519125 198666875 206398775 211650175 218026875 220339625 228915005 241811625 243683715 244454375 246346925 251739375 260225625 262446217 271122125 273221135 281452875 288613875 290848305 300463125 305470187 312156825 315568375 322679775 327531875 335927625 357881205 372574275 403019375 406139525 416550255 429020625 461992101 469088125 481023125 484747175 499351875 503613011 512056875 520261375 531985575 537799625 553826625 559879375 596000625 596468675 601086497 619196325 620957125 634950525 661018875 686745015 694250425 733363125 739040775 769986835 787338651 813366375 819663405 886642625 916410561 923044375 946705125 982595625 1031993875 1058250875 1101698125 1144575025 1209058125 1218418575 1231734625 1312231085 1355610625 1366105675 1407264375 1443069375 1454241525 1510839033 1527350935 1560784125 1577841875 1613398875 1679638125 1693971037 1789406025 1803259491 1862871375 2030697625 2082751275 2309960505 2423735875 2518065055 2601306875 2659927875 2688998125 2769133125 2982343375 3005432485 3095981625 3104785625 3174752625 3305094375 3433725075 3471252125 3695203875 3849934175 3936693255 4066831875 4098317025 4433213125 4582052805 4733525625 5081913111 5159969375 5291254375 5722875125 6092092875 6158673125 6561155425 6830528375 7271207625 7554195165 7636754675 7803920625 8066994375 8469855185 8947030125 9016297455 9314356875 10153488125 10413756375 11549802525 12118679375 12590325275 13299639375 14911716875 15027162425 15479908125 15873763125 17168625375 17356260625 18476019375 18633681407 19249670875 19683466275 20491585125 22910264025 25409565555 28614375625 30460464375 32805777125 34152641875 36356038125 37770975825 38183773375 42349275925 44735150625 45081487275 52068781875 55901044221 57749012625 62951626375 75135812125 85843126875 93168407035 96248354375 98417331375 102457925625 114551320125 127047827775 164028885625 188854879125 190918866875 211746379625 225407436375 279505221105 288745063125 314758131875 375679060625 465842035175 492086656875 572756600625 635239138875 944274395625 1058731898125 1127037181875 1397526105525 2329210175875 3176195694375 6987630527625 11646050879375 34938152638125
- Sum of all divisors σ(n): 69987373771392
- Sum of proper divisors (its aliquot sum) s(n): 35049221133267
- 34938152638125 is an abundant number, because the sum of its proper divisors (35049221133267) is greater than itself. Its abundance is 111068495142
Bases of 34938152638125
- Binary: 1111111000110101011000010110101010110101011012
- Hexadecimal: 0x1FC6AC2D56AD
- Base-36: CDUD605NX
Squares and roots of 34938152638125
- 34938152638125 squared (349381526381252) is 1220674509764920897203515625
- 34938152638125 cubed (349381526381253) is 42648112343635212118212951368618408203125
-
The
square root of 34938152638125 is 5910850.4158137009 -
The
cube root of 34938152638125 is 32691.3844254865
Scales and comparisons
How big is 34938152638125?- 34,938,152,638,125 seconds is equal to 1,110,925 years, 9 weeks, 3 days, 15 hours, 28 minutes, 45 seconds.
-
To count from 1 to 34,938,152,638,125 would take you about two million, seven hundred seventy-seven thousand, three hundred twelve 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 34938152638125 cubic inches would be around 2724.3 feet tall.
Recreational maths with 34938152638125
- 34938152638125 backwards is 52183625183943
- The number of decimal digits it has is: 14
- The sum of 34938152638125's digits is 60
- More coming soon!
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The information we have on file for 34938152638125 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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