137968370503125

Names of 137968370503125

• Cardinal: 137968370503125 can be written as One hundred thirty-seven trillion, nine hundred sixty-eight billion, three hundred seventy million, five hundred three thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.37968370503125 × 10¹⁴

Factors of 137968370503125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 373

Divisors of 137968370503125

• Number of divisors d(n): 576
• Complete list of divisors:
  1 3 5 15 19 25 31 57 61 73 75 93 95 125 155 181 183 219 285 305 365 375 465 475 543 589 625 775 905 915 961 1095 1159 1387 1425 1525 1767 1825 1875 1891 2263 2325 2375 2715 2883 2945 3125 3439 3477 3875 4161 4453 4525 4575 4805 5475 5611 5673 5795 6789 6935 7125 7625 8835 9125 9375 9455 10317 11041 11315 11625 11875 13213 13359 13575 14415 14725 16833 17195 17385 18259 19375 20805 22265 22625 22875 24025 27375 28055 28365 28975 33123 33945 34675 35625 35929 38125 39639 42997 44175 45625 47275 51585 54777 55205 56575 58125 58621 59375 66065 66795 67875 70153 72075 73625 84165 84607 85975 86925 91295 96875 104025 106609 107787 111325 113125 114375 120125 128991 136875 138043 140275 141825 144875 165615 169725 173375 173941 175863 178125 179645 190625 198195 209779 210459 214985 220875 228125 236375 251047 253821 257925 273885 276025 282875 290625 293105 319827 330325 333975 339375 342271 350765 360375 368125 409603 414129 420825 423035 429875 434625 456475 520125 521823 533045 538935 556625 565625 571875 600625 629337 644955 684375 690215 701375 709125 724375 753141 805993 828075 848625 866875 869705 879315 898225 990975 1026813 1048895 1052295 1074925 1104375 1113799 1181875 1228809 1255235 1269105 1289625 1332907 1369425 1380125 1414375 1465525 1599135 1651625 1669875 1696875 1711355 1753825 1801875 1840625 2048015 2070645 2104125 2115175 2149375 2173125 2282375 2417979 2600625 2609115 2622817 2665225 2694675 2783125 3003125 3146685 3224775 3304879 3341397 3451075 3506875 3545625 3621875 3765705 3998721 4029965 4140375 4243125 4279333 4334375 4348525 4396575 4491125 4954875 5134065 5244475 5261475 5374625 5521875 5568995 5909375 6144045 6276175 6345525 6448125 6503149 6664535 6847125 6900625 7071875 7327625 7782457 7868451 7995675 8258125 8349375 8556775 8769125 9009375 9914637 10240075 10353225 10520625 10575875 10610401 10746875 10865625 11411875 12089895 12697693 12837999 13003125 13045575 13114085 13326125 13473375 13915625 15313867 15733425 16123875 16524395 16706985 17255375 17534375 17728125 18828525 19509447 19993605 20149825 20701875 21215625 21396665 21742625 21982875 22455625 23347371 24774375 24985783 25670325 26222375 26307375 26873125 27844975 30720225 31380875 31727625 31831203 32240625 32515745 33322675 34235625 34503125 36638125 38093079 38912285 39342255 39978375 41290625 41746875 42783875 43845625 45941601 49573185 51200375 51766125 52603125 52879375 53052005 57059375 60449475 63488465 64189995 65227875 65570425 66630625 67366875 74957349 76569335 78667125 80619375 81307327 82621975 83534925 86276875 94142625 97547235 99968025 100749125 103509375 106983325 108713125 109914375 112278125 116736855 123871875 124928915 128351625 131111875 131536875 134365625 139224875 153601125 156904375 158638125 159156015 162578725 166613375 171178125 183190625 190465395 194561425 196711275 199891875 201597619 213919375 219228125 229708005 241256167 243921981 247865925 256001875 258830625 264396875 265260025 302247375 317442325 320949975 326139375 327852125 333153125 336834375 374786745 382846675 393335625 403096875 406536635 413109875 417674625 431384375 470713125 474729877 487736175 499840125 503745625 534916625 543565625 549571875 583684275 604792857 624644575 641758125 655559375 657684375 696124375 723768501 768005625 774559273 784521875 793190625 795780075 812893625 833066875 952326975 972807125 983556375 999459375 1007988095 1069596875 1148540025 1206280835 1219609905 1239329625 1280009375 1294153125 1326300125 1424189631 1511236875 1587211625 1604749875 1630696875 1639260625 1873933725 1914233375 1966678125 2032683175 2065549375 2088373125 2323677819 2353565625 2373649385 2438680875 2499200625 2518728125 2674583125 2918421375 3023964285 3123222875 3208790625 3480621875 3618842505 3840028125 3872796365 3978900375 4064468125 4165334375 4761634875 4864035625 4917781875 5039940475 5742700125 6031404175 6098049525 6196648125 6631500625 7120948155 7556184375 7936058125 8023749375 8196303125 9369668625 9571166875 10163415875 10327746875 10441865625 11618389095 11868246925 12193404375 12496003125 13372915625 14592106875 14716626187 15119821425 15616114375 18094212525 19363981825 19894501875 20322340625 23808174375 24320178125 24588909375 25199702375 28713500625 30157020875 30490247625 30983240625 33157503125 35604740775 39680290625 40118746875 44149878561 46848343125 47855834375 50817079375 58091945475 59341234625 60967021875 72960534375 73583130935 75599107125 78080571875 90471062625 96819909125 99472509375 119040871875 125998511875 143567503125 150785104375 152451238125 178023703875 220749392805 234241715625 254085396875 290459727375 296706173125 367915654675 377995535625 452355313125 484099545625 629992559375 753925521875 762256190625 890118519375 1103746964025 1452298636875 1483530865625 1839578273375 1889977678125 2261776565625 2420497728125 4450592596875 5518734820125 7261493184375 9197891366875 27593674100625 45989456834375 137968370503125
• Sum of all divisors σ(n): 259099319082240
• Sum of proper divisors (its aliquot sum) s(n): 121130948579115
• 137968370503125 is a deficient number, because the sum of its proper divisors (121130948579115) is less than itself. Its deficiency is 16837421924010

Bases of 137968370503125

• Binary: 11111010111101101000011101101101100110111010101₂
• Hexadecimal: 0x7D7B43B6CDD5
• Base-36: 1CWLSLK5HX

Squares and roots of 137968370503125

• 137968370503125 squared (137968370503125²) is 19035271259287572565634765625
• 137968370503125 cubed (137968370503125³) is 2626265357728874600466406575698272705078125
• The square root of 137968370503125 is 11745993.8065335707
• The cube root of 137968370503125 is 51672.5441508097

Scales and comparisons

• 137,968,370,503,125 seconds is equal to 4,386,967 years, 21 weeks, 5 days, 1 hour, 58 minutes, 45 seconds.
• To count from 1 to 137,968,370,503,125 would take you about ten million, nine hundred sixty-seven thousand, four hundred eighteen 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 137968370503125 cubic inches would be around 4306 feet tall.

Recreational maths with 137968370503125

• 137968370503125 backwards is 521305073869731
• The number of decimal digits it has is: 15
• The sum of 137968370503125's digits is 60
• More coming soon!