138352647446231967

Names of 138352647446231967

• Cardinal: 138352647446231967 can be written as One hundred thirty-eight quadrillion, three hundred fifty-two trillion, six hundred forty-seven billion, four hundred forty-six million, two hundred thirty-one thousand, nine hundred sixty-seven.

Scientific notation

• Scientific notation: 1.38352647446231967 × 10¹⁷

Factors of 138352647446231967

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 75909

Divisors of 138352647446231967

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 7 9 21 27 61 63 81 137 151 183 189 243 411 427 453 549 567 863 959 1057 1233 1281 1359 1647 1701 2589 2877 3171 3699 3843 4077 4941 6041 7767 8357 8631 9211 9513 11097 11529 12231 14823 18123 20687 23301 25071 25893 27633 28539 33291 34587 36693 52643 54369 58499 62061 64477 69903 74687 75213 77679 82899 85617 103761 118231 130313 144809 157929 163107 175497 186183 193431 209709 224061 225639 233037 248697 256851 354693 368501 390939 434427 473787 489321 522809 526491 558549 580293 672183 676917 746091 827617 912191 1064079 1105503 1172817 1261907 1303281 1421361 1467963 1568427 1579473 1675647 1740879 2016549 2030751 2238273 2482851 2736573 3192237 3316509 3518451 3785721 3909843 4264083 4555907 4705281 4738419 5026941 5222637 6049647 7212091 7448553 7949093 8209719 8833349 9576711 9949527 10232119 10555353 11277737 11357163 11729529 12792249 13667721 14115843 14215257 15667911 17852881 18148941 21636273 22345659 23847279 24629157 26500047 28730133 29848581 30696357 31666059 31891349 33833211 34071489 35188587 41003163 42347529 50484637 53558643 55643651 64454881 64908819 67036977 71541837 71624833 73887471 78944159 79500141 89545743 92089071 95674047 101499633 102214467 123009489 124970167 127042587 151453911 160675929 166930953 193364643 194726457 201110931 214625511 214874499 221662413 236832477 238500423 276267213 287022141 304498899 306643401 369028467 374910501 451184167 454361733 482027787 500792859 580093929 584179371 624159259 643876533 644623497 687941957 710497431 715501269 828801639 861066423 913496697 1089025741 1107085401 1124731503 1353552501 1363085199 1446083361 1502378577 1545049969 1740281787 1752538113 1872477777 1931629599 1933870491 2063825871 2131492293 2146503807 2486404917 2583199269 2740490091 3267077223 3374194509 3931747741 4060657503 4089255597 4338250083 4369114813 4507135731 4635149907 4815593699 5220845361 5617433331 5801611473 6191477613 6394476879 7623180187 7749597807 8830318697 9732687031 9801231669 10122583527 10815349783 11795243223 12181972509 12267766791 13107344439 13521407193 13905449721 14446781097 15662536083 16852299993 17404834419 18574432839 19183430637 22869540561 26490956091 27522234187 29198061093 29403695007 30367750581 32446049349 35385729669 36545917527 39322033317 41716349163 43340343291 50556899979 55723298517 61812230879 68128809217 68608621683 79472868273 82566702561 87594183279 88211085021 94248048109 97338148047 106157189007 109637752581 117966099951 125149047489 130021029873 151670699937 167169895551 185436692637 204386427651 205825865049 238418604819 247700107683 262782549837 264633255063 282744144327 292014444141 318471567021 353898299853 375447142467 390063089619 538649440517 556310077911 593693908891 613159282953 617477595147 659736336763 715255814457 743100323049 788347649511 848232432981 876043332423 955414701063 1061694899559 1170189268857 1333378123247 1615948321551 1668930233733 1781081726673 1839477848859 1852432785441 1979209010289 2145767443371 2229300969147 2365042948533 2544697298943 2628129997269 3770546083619 4000134369741 4155857362237 4847844964653 5006790701199 5343245180019 5518433546577 5937627030867 6687902907441 7634091896829 9333646862729 11311638250857 12000403109223 12467572086711 14543534893959 15020372103597 16029735540057 16555300639731 17812881092601 22902275690487 28000940588187 33934914752571 36001209327669 37402716260133 43630604681877 48089206620171 53438643277803 81336065518067 84002821764561 101804744257713 108003627983007 112208148780399 130891814045631 144267619860513 160315929833409 244008196554201 252008465293683 305414232773139 324010883949021 336624446341197 569352458626469 732024589662603 756025395881049 916242698319417 1009873339023591 1708057375879407 2196073768987809 2268076187643147 5124172127638221 6588221306963427 15372516382914663 19764663920890281 46117549148743989 138352647446231967
• Sum of all divisors σ(n): 244382614639607808
• Sum of proper divisors (its aliquot sum) s(n): 106029967193375841
• 138352647446231967 is a deficient number, because the sum of its proper divisors (106029967193375841) is less than itself. Its deficiency is 32322680252856126

Bases of 138352647446231967

• Binary: 111101011100001101111111111110100110001000111101110011111₂
• Hexadecimal: 0x1EB86FFF4C47B9F
• Base-36: 11U9X4SXZIXR

Squares and roots of 138352647446231967

• 138352647446231967 squared (138352647446231967²) is 19141455055381356820056266372689089
• 138352647446231967 cubed (138352647446231967³) is 2648270982885071451111203930541196765329590263908063
• The square root of 138352647446231967 is 371957857.0836109747
• The cube root of 138352647446231967 is 517204.7339844731

Scales and comparisons

• 138,352,647,446,231,967 seconds is equal to 4,399,186,235 years, 49 weeks, 3 days, 22 hours, 39 minutes, 27 seconds.
• To count from 1 to 138,352,647,446,231,967 would take you about thirteen billion, one hundred ninety-seven million, five hundred fifty-eight thousand, seven hundred 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 138352647446231967 cubic inches would be around 43100.4 feet tall.

Recreational maths with 138352647446231967

• 138352647446231967 backwards is 769132644746253831
• 138352647446231967 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138352647446231967's digits is 81
• More coming soon!