138517555177584375

Names of 138517555177584375

• Cardinal: 138517555177584375 can be written as One hundred thirty-eight quadrillion, five hundred seventeen trillion, five hundred fifty-five billion, one hundred seventy-seven million, five hundred eighty-four thousand, three hundred seventy-five.

Scientific notation

• Scientific notation: 1.38517555177584375 × 10¹⁷

Factors of 138517555177584375

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 17431

Divisors of 138517555177584375

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 5 13 15 17 25 39 51 65 75 85 125 169 195 221 255 289 325 375 425 507 625 663 845 867 975 1105 1275 1445 1625 1875 2125 2535 2873 3125 3315 3757 4225 4335 4875 5525 6375 7225 8125 8619 9375 10625 11271 12675 14365 16575 17393 18785 21125 21675 24375 27625 31875 36125 40625 43095 48841 52179 53125 56355 63375 71825 82875 86965 93925 105625 108375 121875 138125 146523 159375 180625 215475 226109 244205 260895 281775 295681 316875 359125 414375 434825 469625 528125 541875 678327 690625 732615 887043 903125 1077375 1130545 1221025 1304475 1408875 1478405 1584375 1795625 2071875 2174125 2348125 2709375 2939417 3391635 3663075 3843853 4435215 5026577 5386875 5652725 6105125 6522375 7044375 7392025 8818251 8978125 10870625 11531559 11740625 14697085 15079731 16958175 18315375 19219265 22176075 25132885 26934375 28263625 30525625 32611875 35221875 36960125 44091255 49970089 54353125 57657795 65345501 73485425 75398655 84790875 91576875 96096325 110880375 125664425 141318125 149910267 152628125 163059375 184800625 196036503 220456275 249850445 288288975 302516449 326727505 367427125 376993275 423954375 457884375 480481625 554401875 628322125 706590625 749551335 849491513 907549347 924003125 980182515 1102281375 1249252225 1441444875 1512582245 1633637525 1837135625 1884966375 2119771875 2402408125 2548474539 2772009375 3141610625 3747756675 3932713837 4247457565 4537746735 4900912575 5142779633 5511406875 6246261125 7207224375 7562911225 8168187625 9185678125 9424831875 11798141511 12012040625 12742372695 15428338899 15708053125 18738783375 19663569185 21237287825 22688733675 24504562875 25713898165 27557034375 31231305625 36036121875 37814556125 40840938125 47124159375 51125279881 58990707555 63711863475 66856135229 77141694495 87427253761 93693916875 98317845925 106186439125 113443668375 122522814375 128569490825 153375839643 156156528125 189072780625 200568405687 204204690625 255626399405 262281761283 294953537775 318559317375 334280676145 385708472475 437136268805 468469584375 491589229625 530932195625 567218341875 612614071875 642847454125 766879198215 869129757977 945363903125 1002842028435 1136554298893 1278131997025 1311408806415 1474767688875 1592796586875 1671403380725 1928542362375 2185681344025 2457946148125 2607389273931 2654660978125 2836091709375 3214237270625 3409662896679 3834395991075 4345648789885 5014210142175 5682771494465 6390659985125 6557044032075 7373838444375 7963982934375 8357016903625 9642711811875 10928406720125 12289730740625 13036946369655 14775205885609 16071186353125 17048314483395 19171979955375 21728243949425 25071050710875 28413857472325 31953299925625 32785220160375 36869192221875 41785084518125 44325617656827 48213559059375 54642033600625 65184731848275 73876029428045 85241572416975 95859899776875 108641219747125 125355253554375 142069287361625 159766499628125 163926100801875 208925422590625 221628088284135 273210168003125 325923659241375 369380147140225 426207862084875 479299498884375 543206098735625 626776267771875 710346436808125 819630504009375 1108140441420675 1629618296206875 1846900735701125 2131039310424375 2716030493678125 3551732184040625 5540702207103375 8148091481034375 9234503678505625 10655196552121875 27703511035516875 46172518392528125 138517555177584375
• Sum of all divisors σ(n): 265555719495900792
• Sum of proper divisors (its aliquot sum) s(n): 127038164318316417
• 138517555177584375 is a deficient number, because the sum of its proper divisors (127038164318316417) is less than itself. Its deficiency is 11479390859267958

Bases of 138517555177584375

• Binary: 111101100000111001111101110000111100000111111011011110111₂
• Hexadecimal: 0x1EC1CFB8783F6F7
• Base-36: 11VWDIDBFXMF

Squares and roots of 138517555177584375

• 138517555177584375 squared (138517555177584375²) is 19187113092375131893942460244140625
• 138517555177584375 cubed (138517555177584375³) is 2657751996471623899315183966631400539589935302734375
• The square root of 138517555177584375 is 372179466.3567354505
• The cube root of 138517555177584375 is 517410.1443280481

Scales and comparisons

• 138,517,555,177,584,375 seconds is equal to 4,404,429,791 years, 37 weeks, 2 days, 6 minutes, 15 seconds.
• To count from 1 to 138,517,555,177,584,375 would take you about thirteen billion, two hundred thirteen million, two hundred eighty-nine thousand, three hundred seventy-five 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 138517555177584375 cubic inches would be around 43117.5 feet tall.

Recreational maths with 138517555177584375

• 138517555177584375 backwards is 573485771555715831
• The number of decimal digits it has is: 18
• The sum of 138517555177584375's digits is 87
• More coming soon!