138257350934044221

Names of 138257350934044221

• Cardinal: 138257350934044221 can be written as One hundred thirty-eight quadrillion, two hundred fifty-seven trillion, three hundred fifty billion, nine hundred thirty-four million, forty-four thousand, two hundred twenty-one.

Scientific notation

• Scientific notation: 1.38257350934044221 × 10¹⁷

Factors of 138257350934044221

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 45

Divisors of 138257350934044221

• Number of divisors d(n): 336
• Complete list of divisors:
  1 3 9 11 27 31 33 81 93 99 121 243 279 297 341 363 729 837 891 961 1023 1089 1331 2187 2511 2673 2883 3069 3267 3751 3993 6561 7533 8019 8649 9207 9801 10571 11253 11979 19683 22599 24057 25947 27621 29403 29791 31713 33759 35937 41261 59049 67797 72171 77841 82863 88209 89373 95139 101277 107811 116281 123783 177147 203391 216513 233523 248589 264627 268119 285417 303831 323433 327701 348843 371349 531441 610173 649539 700569 745767 793881 804357 856251 911493 970299 983103 1046529 1114047 1279091 1594323 1830519 1948617 2101707 2237301 2381643 2413071 2568753 2734479 2910897 2949309 3139587 3342141 3604711 3837273 4782969 5491557 5845851 6305121 6711903 7144929 7239213 7706259 8203437 8732691 8847927 9418761 10026423 10814133 11511819 14348907 16474671 17537553 18915363 20135709 21434787 21717639 23118777 24610311 26198073 26543781 28256283 30079269 32442399 34535457 39651821 43046721 49424013 52612659 56746089 60407127 64304361 65152917 69356331 73830933 78594219 79631343 84768849 90237807 97327197 103606371 118955463 129140163 148272039 157837977 170238267 181221381 192913083 195458751 208068993 221492799 235782657 238894029 254306547 270713421 291981591 310819113 356866389 387420489 444816117 473513931 510714801 543664143 578739249 586376253 624206979 664478397 707347971 716682087 762919641 812140263 875944773 932457339 1070599167 1162261467 1334448351 1420541793 1532144403 1630992429 1736217747 1759128759 1872620937 1993435191 2122043913 2150046261 2288758923 2436420789 2627834319 2797372017 3211797501 3486784401 4003345053 4261625379 4596433209 4892977287 5208653241 5277386277 5617862811 5980305573 6366131739 6450138783 6866276769 7309262367 7883502957 8392116051 9635392503 12010035159 12784876137 13789299627 14678931861 15625959723 15832158831 16853588433 17940916719 19098395217 19350416349 20598830307 21927787101 23650508871 25176348153 28906177509 36030105477 38354628411 41367898881 44036795583 46877879169 47496476493 50560765299 53822750157 57295185651 58051249047 61796490921 65783361303 70951526613 75529044459 86718532527 108090316431 124103696643 132110386749 140633637507 142489429479 151682295897 161468250471 171885556953 174153747141 185389472763 197350083909 212854579839 226587133377 260155597581 372311089929 396331160247 421900912521 427468288437 455046887691 484404751413 515656670859 522461241423 556168418289 592050251727 638563739517 679761400131 780466792743 1116933269787 1188993480741 1282404865311 1365140663073 1453214254239 1546970012577 1567383724269 1668505254867 1776150755181 1915691218551 2039284200393 2341400378229 3350799809361 3847214595933 4095421989219 4359642762717 4640910037731 4702151172807 5005515764601 5328452265543 5747073655653 6117852601179 7024201134687 11541643787799 12286265967657 13078928288151 14106453518421 15016547293803 15985356796629 17241220966959 18353557803537 21072603404061 34624931363397 36858797902971 42319360555263 45049641881409 47956070389887 51723662900877 55060673410611 63217810212183 103874794090191 126958081665789 135148925644227 143868211169661 155170988702631 165182020231833 189653430636549 380874244997367 405446776932681 465512966107893 495546060695499 568960291909647 1142622734992101 1396538898323679 1486638182086497 1706880875728941 4189616694971037 4459914546259491 5120642627186823 12568850084913111 15361927881560469 46085783644681407 138257350934044221
• Sum of all divisors σ(n): 235712427494309376
• Sum of proper divisors (its aliquot sum) s(n): 97455076560265155
• 138257350934044221 is a deficient number, because the sum of its proper divisors (97455076560265155) is less than itself. Its deficiency is 40802274373779066

Bases of 138257350934044221

• Binary: 111101011001100000101010000000010000000101001111000111101₂
• Hexadecimal: 0x1EB305402029E3D
• Base-36: 11TC526V42T9

Squares and roots of 138257350934044221

• 138257350934044221 squared (138257350934044221²) is 19115095087299458428987306783496841
• 138257350934044221 cubed (138257350934044221³) is 2642802409622385878984497861548629753510672507805861
• The square root of 138257350934044221 is 371829733.7949780221
• The cube root of 138257350934044221 is 517085.9574886497

Scales and comparisons

• 138,257,350,934,044,221 seconds is equal to 4,396,156,101 years, 33 weeks, 21 hours, 10 minutes, 21 seconds.
• To count from 1 to 138,257,350,934,044,221 would take you about thirteen billion, one hundred eighty-eight million, four hundred sixty-eight thousand, three hundred four 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 138257350934044221 cubic inches would be around 43090.5 feet tall.

Recreational maths with 138257350934044221

• 138257350934044221 backwards is 122440439053752831
• The number of decimal digits it has is: 18
• The sum of 138257350934044221's digits is 63
• More coming soon!