138604888331715465

Names of 138604888331715465

• Cardinal: 138604888331715465 can be written as One hundred thirty-eight quadrillion, six hundred four trillion, eight hundred eighty-eight billion, three hundred thirty-one million, seven hundred fifteen thousand, four hundred sixty-five.

Scientific notation

• Scientific notation: 1.38604888331715465 × 10¹⁷

Factors of 138604888331715465

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 16126

Divisors of 138604888331715465

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 9 11 15 33 41 45 55 99 123 149 165 205 369 447 451 495 615 745 809 1341 1353 1639 1845 2235 2255 2427 4045 4059 4917 6109 6705 6765 6917 7281 8191 8195 8899 12135 14751 18327 20295 20751 24573 24585 26697 30545 33169 34585 36405 40955 44495 54981 62253 67199 73719 73755 76087 80091 90101 91635 99507 103755 120541 122865 133485 165845 201597 228261 270303 274905 283597 298521 311265 335831 335995 361623 364859 368595 380435 400455 450505 497535 602705 604791 684783 810909 850791 1007493 1007985 1030633 1084869 1094577 1141305 1220459 1325951 1351515 1417985 1492605 1679155 1808115 1824295 2552373 3022479 3023955 3091899 3119567 3283731 3423915 3661377 3694141 3977853 4054545 4253955 4942181 5037465 5153165 5424345 5472885 5595853 6102295 6626519 6629755 9275697 9358701 10984131 11082423 11336963 11933559 12761865 13425049 14826543 15112395 15459495 15597835 16418655 16787559 18306885 18470705 19879557 19889265 24710905 27979265 28076103 33132595 33247269 34010889 40275147 42255953 44479629 46378485 46793505 50038819 50362677 54363991 54920655 55412115 56657147 56684815 59638671 59667795 61554383 67125245 72891709 74132715 83937795 99397785 102032667 120825441 126767859 140380515 150116457 163091973 166236345 169971441 170054445 184663149 201375735 211279765 218675127 222398145 229429973 250194095 251813385 271687279 271819955 283285735 298193355 307771915 364458545 380303577 450349371 464815483 489275919 509914323 510163335 550427009 553989447 604127205 623228617 633839295 656025381 688289919 750582285 815061837 815459865 833782097 849857205 923315745 987351331 1093375635 1147149865 1358436395 1394446449 1651281027 1869685851 1901517885 2064869757 2251746855 2322943027 2324077415 2445185511 2446379595 2501346291 2523729703 2549571615 2752135045 2769947235 2962053993 2988560069 3116143085 3280126905 3441449595 4075309185 4168910485 4183339347 4936756655 4953843081 5609057553 6968829081 6972232245 7504038873 7571189109 8256405135 8441914903 8886161979 8965680207 9171603067 9348429255 10324348785 10860864641 11614715135 12225927555 12506731455 12618648515 14810269965 14942800345 20906487243 20916696735 22713567327 24769215405 25325744709 25552373297 26897040621 27514809201 28045287765 32582593923 34185065977 34844145405 37520194365 37855945545 40481404571 42209574515 44430809895 44828401035 45835631923 45858015335 54304323205 75977234127 76657119891 82544427603 92861063933 97747781769 102555197931 104532436215 113567836635 121444213713 126628723545 127761866485 134485203105 137506895769 137574046005 162912969615 170925329885 202407022855 229178159615 229971359673 278583191799 307665593793 346118511023 364332641139 376035725747 379886170635 383285599455 412520687307 412722138015 445295450281 464305319665 488738908845 504191951153 512775989655 607221068565 687534478845 835749575397 1038355533069 1128107177241 1149856798365 1335886350843 1392915958995 1512575853459 1538327968965 1730592555115 1821663205695 1879260908843 1880178628735 2062603436535 2226477251405 2520959755765 3115066599207 3384321531723 3807303621253 4007659052529 4178747876985 4537727560377 5191777665345 5637782726529 5640535886205 6679431754215 6829509156527 7562879267295 9396304544215 11421910863759 15575332996035 16913348179587 16921607658615 19036518106265 20038295262645 20488527469581 20671869997273 22688637801885 28188913632645 34147545782635 34265732591277 57109554318795 61465582408743 62015609991819 75124600721797 84566740897935 102442637347905 103359349986365 171328662956385 186046829975457 225373802165391 280009875417607 307327912043715 310078049959095 375623003608985 676121406496173 840029626252821 930234149877285 1126869010826955 1400049377088035 2520088878758463 3080108629593677 3380607032480865 4200148131264105 9240325888781031 12600444393792315 15400543147968385 27720977666343093 46201629443905155 138604888331715465
• Sum of all divisors σ(n): 270689816936448000
• Sum of proper divisors (its aliquot sum) s(n): 132084928604732535
• 138604888331715465 is a deficient number, because the sum of its proper divisors (132084928604732535) is less than itself. Its deficiency is 6519959726982930

Bases of 138604888331715465

• Binary: 111101100011011000110100101011101001001010000001110001001₂
• Hexadecimal: 0x1EC6C695D250389
• Base-36: 11WRBYO0JC09

Squares and roots of 138604888331715465

• 138604888331715465 squared (138604888331715465²) is 19211315069447313858420989720166225
• 138604888331715465 cubed (138604888331715465³) is 2662782179906147470770512146559853728292959203169625
• The square root of 138604888331715465 is 372296774.5384258161
• The cube root of 138604888331715465 is 517518.8611535611

Scales and comparisons

• 138,604,888,331,715,465 seconds is equal to 4,407,206,715 years, 45 weeks, 5 days, 57 minutes, 45 seconds.
• To count from 1 to 138,604,888,331,715,465 would take you about thirteen billion, two hundred twenty-one million, six hundred twenty thousand, one hundred forty-seven 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 138604888331715465 cubic inches would be around 43126.6 feet tall.

Recreational maths with 138604888331715465

• 138604888331715465 backwards is 564517133888406831
• The number of decimal digits it has is: 18
• The sum of 138604888331715465's digits is 81
• More coming soon!