137575354926405942

Names of 137575354926405942

• Cardinal: 137575354926405942 can be written as One hundred thirty-seven quadrillion, five hundred seventy-five trillion, three hundred fifty-four billion, nine hundred twenty-six million, four hundred five thousand, nine hundred forty-two.

Scientific notation

• Scientific notation: 1.37575354926405942 × 10¹⁷

Factors of 137575354926405942

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 114

Divisors of 137575354926405942

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 89 91 117 126 169 178 182 234 267 273 338 507 534 546 623 801 819 1014 1157 1183 1246 1521 1602 1638 1869 2197 2314 2366 3042 3471 3549 3738 4394 5607 6591 6942 7098 7921 8099 10413 10647 11214 13182 15041 15379 15842 16198 19773 20826 21294 23763 24297 30082 30758 39546 45123 46137 47526 48594 55447 71289 72891 90246 92274 102973 105287 110894 135369 138411 142578 145782 166341 195533 205946 210574 270738 276822 308919 315861 332682 391066 499023 586599 617838 631722 704969 720811 926757 947583 998046 1173198 1338649 1368731 1409938 1441622 1759797 1853514 1895166 2114907 2162433 2677298 2737462 3519594 4015947 4106193 4229814 4324866 4934783 6344721 6487299 8031894 8212386 9164597 9370543 9869566 12047841 12318579 12689442 12974598 14804349 17402437 18329194 18741086 24095682 24637158 27493791 28111629 29608698 34804874 44413047 52207311 54987582 56223258 62742241 64152179 82481373 84334887 88826094 104414622 119139761 121817059 125484482 128304358 156621933 164962746 168669774 188226723 192456537 238279522 243634118 313243866 357419283 365451177 376453446 384913074 439195687 564680169 577369611 714838566 730902354 815649133 833978327 878391374 1072257849 1096353531 1129360338 1154739222 1317587061 1548816893 1631298266 1667956654 2144515698 2192707062 2446947399 2501934981 2635174122 3097633786 3952761183 4646450679 4893894798 5003869962 5584059449 5709543931 7340842197 7505804943 7905522366 9292901358 10603438729 10841718251 11168118898 11419087862 13939352037 14681684394 15011609886 16752178347 17128631793 21206877458 21683436502 27878704074 31810316187 32525154753 33504356694 34257263586 39088416143 50256535041 51385895379 63620632374 65050309506 72592772837 74224071103 78176832286 95430948561 97575464259 100513070082 102771790758 117265248429 137844703477 145185545674 148448142206 190861897122 195150928518 217778318511 222672213309 234530496858 275689406954 351795745287 413534110431 435556637022 445344426618 496981290961 508149409859 653334955533 668016639927 703591490574 827068220862 943706046881 964912924339 993962581922 1016298819718 1240602331293 1306669911066 1336033279854 1490943872883 1524448229577 1887412093762 1929825848678 2481204662586 2831118140643 2894738773017 2981887745766 3048896459154 3478869036727 4472831618649 4573344688731 5662236281286 5789477546034 6460756782493 6605942328167 6957738073454 8493354421929 8684216319051 8945663237298 9146689377462 10436607110181 12268178609453 12921513564986 13211884656334 16986708843858 17368432638102 19382270347479 19817826984501 20873214220362 24536357218906 31309821330543 36804535828359 38764540694958 39635653969002 45225297477451 58146811042437 59453480953503 62619642661086 73609071656718 83989838172409 85877250266171 90450594954902 110413607485077 116293622084874 118906961907006 135675892432353 167979676344818 171754500532342 220827214970154 251969514517227 257631750798513 271351784864706 407027677297059 503939029034454 515263501597026 587928867206863 755908543551681 772895252395539 814055354594118 1091867896241317 1175857734413726 1511817087103362 1545790504791078 1763786601620589 2183735792482634 3275603688723951 3527573203241178 5291359804861767 6551207377447902 7643075273689219 9826811066171853 10582719609723534 15286150547378438 19653622132343706 22929225821067657 45858451642135314 68787677463202971 137575354926405942
• Sum of all divisors σ(n): 373232045909355360
• Sum of proper divisors (its aliquot sum) s(n): 235656690982949418
• 137575354926405942 is an abundant number, because the sum of its proper divisors (235656690982949418) is greater than itself. Its abundance is 98081336056543476

Bases of 137575354926405942

• Binary: 111101000110001000000111001110000001111001001100100110110₂
• Hexadecimal: 0x1E8C40E703C9936
• Base-36: 11MME5JSS3LI

Squares and roots of 137575354926405942

• 137575354926405942 squared (137575354926405942²) is 18926978283126567694934905372907364
• 137575354926405942 cubed (137575354926405942³) is 2603885754985514923029044264287172252175963825156888
• The square root of 137575354926405942 is 370911518.9993510325
• The cube root of 137575354926405942 is 516234.3282571081
• Being both a perfect square and a perfect cube, 137575354926405942 is also a perfect sixth number.

Scales and comparisons

• 137,575,354,926,405,942 seconds is equal to 4,374,470,738 years, 7 weeks, 4 days, 6 hours, 5 minutes, 42 seconds.
• To count from 1 to 137,575,354,926,405,942 would take you about thirteen billion, one hundred twenty-three million, four hundred twelve thousand, two hundred fourteen 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 137575354926405942 cubic inches would be around 43019.5 feet tall.

Recreational maths with 137575354926405942

• 137575354926405942 backwards is 249504629453575731
• The number of decimal digits it has is: 18
• The sum of 137575354926405942's digits is 81
• More coming soon!