42420978760478319

Names of 42420978760478319

• Cardinal: 42420978760478319 can be written as Forty-two quadrillion, four hundred twenty trillion, nine hundred seventy-eight billion, seven hundred sixty million, four hundred seventy-eight thousand, three hundred nineteen.

Scientific notation

• Scientific notation: 4.2420978760478319 × 10¹⁶

Factors of 42420978760478319

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7611

Divisors of 42420978760478319

• Number of divisors d(n): 320
• Complete list of divisors:
  1 3 9 27 31 37 67 81 93 111 201 279 333 577 603 837 999 1147 1731 1809 2077 2479 2511 2997 3169 3441 3727 5193 5427 6231 7437 9507 10323 11181 15579 17887 18693 21349 22311 28521 30969 33543 38659 46737 53661 56079 64047 66933 76849 85563 92907 98239 100629 115537 115977 117253 137899 160983 168237 192141 200799 212323 230547 249709 256689 294717 301887 346611 347931 351759 413697 482949 576423 636969 661819 691641 749127 884151 1039833 1043793 1055277 1198429 1241091 1430383 1448847 1729269 1828513 1910907 1985457 2074923 2150479 2247381 2652453 3119499 3131379 3165831 3595287 3634843 3723273 4274869 4291149 5485539 5732721 5956371 6224769 6451437 6582013 6742143 7740979 7855951 7957359 9239233 9358497 9497493 10785861 10904529 11169819 11810863 12824607 12873447 16456617 17198163 17869113 19354311 19746039 20226429 23222937 23567853 27717699 32357583 32713587 35432589 38473821 38620341 44341873 49369851 53607339 56683903 58062933 59238117 66664849 67654981 69668811 70703559 79567723 83153097 97072749 98140761 106297767 115421463 115861023 122510371 133025619 144082093 148109553 170051709 174188799 177714351 199994547 202964943 209006433 212110677 238703169 243534481 249459291 286416223 294422283 318893301 346264389 366136753 367531113 399076857 432246279 437001931 510155127 533143053 599983641 608894829 627019299 636332031 716109507 730603443 748377873 791327821 859248669 956679903 1098410259 1102593339 1197230571 1296738837 1311005793 1530465381 1799950923 1826684487 2097304411 2148328521 2191810329 2373983463 2466599413 2577746007 3295230777 3307780017 3591691713 3797821501 3890216511 3933017379 4466544883 4532883727 4591396143 5331037441 5399852769 5480053461 6291913233 6444985563 6575430987 6814867951 7121950389 7399798239 7733238021 9885692331 9923340051 11393464503 11670649533 11799052137 13399634649 13547059861 13598651181 15993112323 18875739699 19726292961 20444603853 21365851167 22199394717 23199714063 24531162451 29279129377 29657076993 34180393509 35397156411 40198903947 40641179583 40795953543 47979336969 56627219097 61333811559 64097553501 66598184151 73593487353 87837388131 102541180527 120596711841 121923538749 122387860629 140519395537 143938010907 165262160671 169881657291 184001434677 199794552453 211260906481 220780462059 252150114187 263512164393 307623541581 361790135523 365770616247 367163581887 421558186611 431814032721 456596152717 495786482013 552004304031 633782719443 662341386177 756450342561 790536493179 907653010687 1097311848741 1264674559833 1369788458151 1487359446039 1901348158329 1987024158531 2269351027683 2371609479537 2722959032061 3794023679499 4109365374453 4462078338117 5704044474987 6808053083049 7816653539797 8168877096183 11382071038497 12328096123359 13386235014351 14154480734227 16894057650529 17112133424961 20424159249147 23449960619391 24506631288549 36984288370077 42463442202681 50682172951587 70349881858173 73519893865647 127390326608043 152046518854761 211049645574519 382170979824129 456139556564283 523715787166399 633148936723557 1146512939472387 1368418669692849 1571147361499197 4713442084497591 14140326253492773 42420978760478319
• Sum of all divisors σ(n): 68342500131389440
• Sum of proper divisors (its aliquot sum) s(n): 25921521370911121
• 42420978760478319 is a deficient number, because the sum of its proper divisors (25921521370911121) is less than itself. Its deficiency is 16499457389567198

Bases of 42420978760478319

• Binary: 10010110101101011010011111001010000010101110111001101111₂
• Hexadecimal: 0x96B5A7CA0AEE6F
• Base-36: BLOZCLWRVXR

Squares and roots of 42420978760478319

• 42420978760478319 squared (42420978760478319²) is 1799539438996952657879237669065761
• 42420978760478319 cubed (42420978760478319³) is 76338224320332798309542271202794695506866225735759
• The square root of 42420978760478319 is 205963537.4537889389
• The cube root of 42420978760478319 is 348760.1813838223

Scales and comparisons

• 42,420,978,760,478,319 seconds is equal to 1,348,855,907 years, 45 weeks, 5 days, 11 hours, 58 minutes, 39 seconds.
• To count from 1 to 42,420,978,760,478,319 would take you about four billion, forty-six million, five hundred sixty-seven thousand, seven hundred twenty-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 42420978760478319 cubic inches would be around 29063.3 feet tall.

Recreational maths with 42420978760478319

• 42420978760478319 backwards is 91387406787902424
• 42420978760478319 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42420978760478319's digits is 81
• More coming soon!