138324556689153057

Names of 138324556689153057

• Cardinal: 138324556689153057 can be written as One hundred thirty-eight quadrillion, three hundred twenty-four trillion, five hundred fifty-six billion, six hundred eighty-nine million, one hundred fifty-three thousand and fifty-seven.

Scientific notation

• Scientific notation: 1.38324556689153057 × 10¹⁷

Factors of 138324556689153057

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 100

Divisors of 138324556689153057

• Number of divisors d(n): 440
• Complete list of divisors:
  1 3 9 23 27 31 43 69 81 93 129 207 243 279 387 621 713 729 837 961 989 1161 1333 1849 1863 2139 2187 2511 2883 2967 3483 3999 5547 5589 6417 6561 7533 8649 8901 10449 11997 16641 16767 19251 19683 22103 22599 25947 26703 29791 30659 31347 35991 41323 42527 49923 50301 57319 57753 59049 66309 67797 77841 79507 80109 89373 91977 94041 107973 123969 127581 149769 150903 171957 173259 198927 203391 233523 238521 240327 268119 275931 282123 323919 371907 382743 449307 452709 515871 519777 596781 610173 685193 700569 715563 720981 804357 827793 846369 950429 971757 1115721 1148229 1281013 1318337 1347921 1358127 1547613 1559331 1776889 1790343 1828661 1830519 2055579 2101707 2146689 2162943 2413071 2464717 2483379 2539107 2851287 2915271 3347163 3418801 3444687 3843039 3955011 4043763 4642839 4677993 5330667 5371029 5485983 6166737 6305121 6440067 6488829 7239213 7394151 7450137 8553861 8745813 10041489 10256403 10334061 11529117 11865033 12131289 13928517 14033979 15992001 16113087 16457949 18500211 18915363 19320201 19466487 21717639 22182453 22350411 25661583 26237439 29463299 30124467 30769209 31002183 34587351 35595099 36393867 40868447 41785551 42101937 47976003 48339261 49373847 55083559 55500633 56688491 56746089 57960603 58399461 65152917 66547359 67051233 76406227 76984749 78632423 78712317 88389897 90373401 92307627 93006549 103762053 105982831 106785297 109181601 122605341 125356653 143928009 145017783 148121541 165250677 166501899 170065473 173881809 195458751 199642077 201153699 229218681 230954247 235897269 265169691 271120203 276922881 279019647 311286159 317948493 320355891 367816023 376069959 431784027 435053349 444364623 495752031 499505697 510196419 521645427 586376253 598926231 603461097 687656043 692862741 707691807 795509073 813360609 830768643 837058941 933858477 953845479 961067673 1103448069 1128209877 1266921857 1295352081 1305160047 1333093869 1487256093 1498517091 1530589257 1564936281 1757343221 1759128759 1796778693 1810383291 2062968129 2078588223 2123075421 2368593037 2386527219 2437605113 2440081827 2492305929 2511176823 2801575431 2861536437 2883203019 3285467761 3310344207 3384629631 3800765571 3886056243 3999281607 4461768279 4495551273 4591767771 4694808843 5272029663 5390336079 6188904387 6235764669 6369226263 7105779111 7159581657 7312815339 7476917787 8404726293 8584609311 8649609057 9856403283 9931032621 11402296713 11658168729 11997844821 13385304837 13486653819 13775303313 15816088989 16171008237 18566713161 18707294007 19107678789 21317337333 21478744971 21938446017 22430753361 25214178879 25753827933 25948827171 29569209849 29793097863 34206890139 34974506187 35993534463 40155914511 40459961457 41325909939 47448266967 48513024711 54477639851 55700139483 56121882021 57323036367 63952011999 64436234913 65815338051 67292260083 75565758503 75642536637 77261483799 77846481513 88707629547 89379293589 101849500591 102620670417 104923518561 107980603389 120467743533 123977729817 142344800901 145539074133 163432919553 167100418449 171969109101 191856035997 193308704739 197446014153 201876780249 226697275509 231784451397 266122888641 268137880767 305548501773 307862011251 361403230599 371933189451 427034402703 490298758659 501301255347 515907327303 575568107991 579926114217 592338042459 680091826527 695353354191 798368665923 804413642301 916645505319 923586033753 1084209691797 1115799568353 1281103208109 1470896275977 1503903766041 1547721981909 1726704323973 1739778342651 1777014127377 2040275479581 2086060062573 2342538513593 2395105997769 2413240926903 2749936515957 2770758101259 3252629075391 3347398705059 3843309624327 4412688827931 4511711298123 4643165945727 5180112971919 5331042382131 6120826438743 6258180187719 7027615540779 7185317993307 8249809547871 8312274303777 11529928872981 13238066483793 15540338915757 15993127146393 18362479316229 21082846622337 21555953979921 24749428643613 24936822911331 34589786618943 39714199451379 46621016747271 47979381439179 55087437948687 63248539867011 64667861939763 74248285930839 74810468733993 103769359856829 119142598354137 139863050241813 143938144317537 165262313846061 189745619601033 194003585819289 222744857792517 357427795062411 495786941538183 569236858803099 668234573377551 1072283385187233 1487360824614549 1707710576409297 2004703720132653 3216850155561699 4462082473843647 5123131729227891 6014111160397959 15369395187683673 46108185563051019 138324556689153057
• Sum of all divisors σ(n): 229050176757063168
• Sum of proper divisors (its aliquot sum) s(n): 90725620067910111
• 138324556689153057 is a deficient number, because the sum of its proper divisors (90725620067910111) is less than itself. Its deficiency is 47598936621242946

Bases of 138324556689153057

• Binary: 111101011011011010111001110010001001010111001110000100001₂
• Hexadecimal: 0x1EB6D73912B9C21
• Base-36: 11TZYO36I529

Squares and roots of 138324556689153057

• 138324556689153057 squared (138324556689153057²) is 19133682983250717726067319972445249
• 138324556689153057 cubed (138324556689153057³) is 2646658216488947085715703579661803449042243113476193
• The square root of 138324556689153057 is 371920094.4949775861
• The cube root of 138324556689153057 is 517169.7276529251

Scales and comparisons

• 138,324,556,689,153,057 seconds is equal to 4,398,293,036 years, 39 weeks, 6 days, 17 hours, 10 minutes, 57 seconds.
• To count from 1 to 138,324,556,689,153,057 would take you about thirteen billion, one hundred ninety-four million, eight hundred seventy-nine thousand, one hundred ten 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 138324556689153057 cubic inches would be around 43097.5 feet tall.

Recreational maths with 138324556689153057

• 138324556689153057 backwards is 750351986655423831
• 138324556689153057 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138324556689153057's digits is 81
• More coming soon!