138513705815165408

Names of 138513705815165408

• Cardinal: 138513705815165408 can be written as One hundred thirty-eight quadrillion, five hundred thirteen trillion, seven hundred five billion, eight hundred fifteen million, one hundred sixty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38513705815165408 × 10¹⁷

Factors of 138513705815165408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 215909833

Divisors of 138513705815165408

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 151 182 208 224 302 364 416 604 728 1057 1208 1456 1459 1963 2114 2416 2912 2918 3926 4228 4832 5836 7852 8456 10213 11672 13741 15704 16912 18967 20426 23344 27482 31408 33824 37934 40852 46688 54964 62816 75868 81704 109928 132769 151736 163408 219856 220309 265538 303472 326816 439712 440618 531076 606944 881236 1062152 1542163 1762472 2124304 2864017 3084326 3524944 4248608 5728034 6168652 7049888 11456068 12337304 20048119 22912136 24674608 40096238 45824272 49349216 80192476 91648544 160384952 215908201 320769904 431816402 641539808 863632804 1511357407 1727265608 2806806613 3022714814 3454531216 5613613226 6045429628 6909062432 11227226452 12090859256 19647646291 22454452904 24181718512 32602138351 39295292582 44908905808 48363437024 65204276702 78590585164 89817811616 130408553404 157181170328 228214968457 260817106808 314362340656 315010065259 423827798563 456429936914 521634213616 628724681312 630020130518 847655597126 912859873828 1043268427232 1260040261036 1695311194252 1825719747656 2205070456813 2520080522072 2966794589941 3390622388504 3651439495312 4095130848367 4410140913626 5040161044144 5933589179882 6781244777008 7302878990624 8190261696734 8820281827252 10080322088288 11867178359764 13562489554016 16380523393468 17640563654504 23734356719528 28665915938569 32761046786936 35281127309008 47468713439056 47566519854109 57331831877138 65522093573872 70562254618016 94937426878112 95133039708218 114663663754276 131044187147744 190266079416436 229327327508552 332965638978763 380532158832872 458654655017104 618364758103417 665931277957526 761064317665744 917309310034208 1236729516206834 1331862555915052 1522128635331488 2473459032413668 2663725111830104 4328553306723919 4946918064827336 5327450223660208 8657106613447838 9893836129654672 10654900447320416 17314213226895676 19787672259309344 34628426453791352 69256852907582704 138513705815165408
• Sum of all divisors σ(n): 338083640813399040
• Sum of proper divisors (its aliquot sum) s(n): 199569934998233632
• 138513705815165408 is an abundant number, because the sum of its proper divisors (199569934998233632) is greater than itself. Its abundance is 61056229183068224

Bases of 138513705815165408

• Binary: 111101100000110010111101101000111101000101100100111100000₂
• Hexadecimal: 0x1EC197B47A2C9E0
• Base-36: 11VV0DZWG1Y8

Squares and roots of 138513705815165408

• 138513705815165408 squared (138513705815165408²) is 19186046698650187364327922399806464
• 138513705815165408 cubed (138513705815165408³) is 2657530428172857535789478398668500120419695347597312
• The square root of 138513705815165408 is 372174294.9414499907
• The cube root of 138513705815165408 is 517405.3513913645

Scales and comparisons

• 138,513,705,815,165,408 seconds is equal to 4,404,307,393 years, 46 weeks, 5 days, 5 hours, 30 minutes, 8 seconds.
• To count from 1 to 138,513,705,815,165,408 would take you about thirteen billion, two hundred twelve million, nine hundred twenty-two thousand, one hundred eighty-one 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 138513705815165408 cubic inches would be around 43117.1 feet tall.

Recreational maths with 138513705815165408

• 138513705815165408 backwards is 804561518507315831
• The number of decimal digits it has is: 18
• The sum of 138513705815165408's digits is 71
• More coming soon!