137516424861600048

Names of 137516424861600048

• Cardinal: 137516424861600048 can be written as One hundred thirty-seven quadrillion, five hundred sixteen trillion, four hundred twenty-four billion, eight hundred sixty-one million, six hundred thousand and forty-eight.

Scientific notation

• Scientific notation: 1.37516424861600048 × 10¹⁷

Factors of 137516424861600048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 79846

Divisors of 137516424861600048

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 121 122 132 176 183 242 244 264 363 366 484 488 528 671 726 732 968 976 1342 1452 1464 1936 2013 2684 2904 2928 3721 4026 5368 5808 7381 7442 8052 10736 11163 14762 14884 16104 22143 22326 29524 29768 32208 40931 44286 44652 59048 59536 79769 81862 88572 89304 118096 122793 159538 163724 177144 178608 239307 245586 319076 327448 354288 450241 478614 491172 638152 654896 877459 900482 957228 982344 1276304 1350723 1754918 1800964 1914456 1964688 2632377 2701446 3509836 3601928 3828912 4865909 5264754 5402892 7019672 7203856 9652049 9731818 10529508 10805784 14039344 14597727 19304098 19463636 21059016 21611568 28956147 29195454 38608196 38927272 42118032 53524999 57912294 58390908 77216392 77854544 107049998 115824588 116781816 154432784 160574997 214099996 231649176 233563632 296820449 321149994 428199992 463298352 588774989 593640898 642299988 856399984 890461347 1177549978 1187281796 1284599976 1766324967 1780922694 2355099956 2374563592 2569199952 3265024939 3532649934 3561845388 4710199912 4749127184 6363093361 6530049878 7065299868 7123690776 9420399824 9795074817 12726186722 13060099756 14130599736 14247381552 19089280083 19590149634 25452373444 26120199512 28261199472 35915274329 38178560166 39180299268 50904746888 52240399024 69994026971 71830548658 76357120332 78360598536 101809493776 107745822987 139988053942 143661097316 152714240664 156721197072 209982080913 215491645974 279976107884 287322194632 305428481328 388148695021 419964161826 430983291948 559952215768 574644389264 769934296681 776297390042 839928323652 861966583896 1119904431536 1164446085063 1539868593362 1552594780084 1679856647304 1723933167792 2309802890043 2328892170126 3079737186724 3105189560168 3359713294608 4269635645231 4619605780086 4657784340252 6159474373448 6210379120336 8539271290462 9239211560172 9315568680504 12318948746896 12808906935693 17078542580924 18478423120344 18631137361008 23677070396281 25617813871386 34157085161848 36956846240688 46965992097541 47354140792562 51235627742772 68314170323696 71031211188843 93931984195082 94708281585124 102471255485544 140897976292623 142062422377686 187863968390164 189416563170248 204942510971088 260447774359091 281795952585246 284124844755372 375727936780328 378833126340496 520895548718182 563591905170492 568249689510744 751455873560656 781343323077273 1041791097436364 1127183810340984 1136499379021488 1562686646154546 2083582194872728 2254367620681968 2864925517950001 3125373292309092 4167164389745456 5729851035900002 6250746584618184 8594776553850003 11459702071800004 12501493169236368 17189553107700006 22919404143600008 34379106215400012 45838808287200016 68758212430800024 137516424861600048
• Sum of all divisors σ(n): 396993510178817916
• Sum of proper divisors (its aliquot sum) s(n): 259477085317217868
• 137516424861600048 is an abundant number, because the sum of its proper divisors (259477085317217868) is greater than itself. Its abundance is 121960660455617820

Bases of 137516424861600048

• Binary: 111101000100011100111010110110110101010000100100100110000₂
• Hexadecimal: 0x1E88E75B6A84930
• Base-36: 11M1I5G9Q2PC

Squares and roots of 137516424861600048

• 137516424861600048 squared (137516424861600048²) is 18910767106716091780731346713602304
• 137516424861600048 cubed (137516424861600048³) is 2600541083905941171805372705409274807785283379310592
• The square root of 137516424861600048 is 370832070.9722933983
• The cube root of 137516424861600048 is 516160.6084954075

Scales and comparisons

• 137,516,424,861,600,048 seconds is equal to 4,372,596,944 years, 19 weeks, 1 day, 48 seconds.
• To count from 1 to 137,516,424,861,600,048 would take you about thirteen billion, one hundred seventeen million, seven hundred ninety thousand, eight hundred thirty-three 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 137516424861600048 cubic inches would be around 43013.4 feet tall.

Recreational maths with 137516424861600048

• 137516424861600048 backwards is 840006168424615731
• 137516424861600048 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137516424861600048's digits is 66
• More coming soon!