42181066423424768

Names of 42181066423424768

• Cardinal: 42181066423424768 can be written as Forty-two quadrillion, one hundred eighty-one trillion, sixty-six billion, four hundred twenty-three million, four hundred twenty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.2181066423424768 × 10¹⁶

Factors of 42181066423424768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 322649

Divisors of 42181066423424768

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 56 64 67 76 112 128 133 134 152 224 256 266 268 304 448 469 532 536 608 896 938 1064 1072 1216 1273 1792 1876 2128 2144 2432 2546 3752 4256 4288 4864 5092 7504 8512 8576 8911 10184 15008 17024 17152 17822 20368 30016 34048 35644 40736 60032 71288 74561 81472 120064 142576 149122 162944 247993 285152 298244 325888 495986 521927 570304 596488 991972 1043854 1140608 1192976 1416659 1735951 1983944 2087708 2281216 2385952 2833318 3471902 3967888 4175416 4711867 4771904 4995587 5666636 6943804 7935776 8350832 9423734 9543808 9916613 9991174 11333272 13887608 15871552 16615531 16701664 18847468 19087616 19833226 19982348 22666544 27775216 31743104 32983069 33231062 33403328 34969109 37694936 39666452 39964696 45333088 55550432 63486208 65966138 66462124 66806656 69938218 75389872 79332904 79929392 90666176 94916153 111100864 116308717 131932276 132924248 133613312 139876436 150779744 158665808 159858784 181332352 189832306 222201728 232617434 263864552 265848496 279752872 301559488 315695089 317331616 319717568 362664704 379664612 444403456 465234868 527729104 531696992 559505744 603118976 631390178 634663232 639435136 664413071 759329224 930469736 1055458208 1063393984 1119011488 1206237952 1262780356 1269326464 1278870272 1328826142 1518658448 1860939472 2110916416 2126787968 2209865623 2238022976 2525560712 2538652928 2657652284 3037316896 3721878944 4221832832 4253575936 4419731246 4476045952 5051121424 5315304568 6074633792 7443757888 8443665664 8839462492 8952091904 10102242848 10630609136 12149267584 14887515776 17678924984 18490606073 20204485696 21261218272 24298535168 29775031552 35357849968 36981212146 40408971392 42522436544 70715699936 73962424292 80817942784 85044873088 129434242511 141431399872 147924848584 170089746176 258868485022 282862799744 295849697168 351321515387 517736970044 565725599488 591699394336 702643030774 1035473940088 1183398788672 1238870606891 1405286061548 2070947880176 2366797577344 2459250607709 2477741213782 2810572123096 4141895760352 4733595154688 4918501215418 4955482427564 5621144246192 8283791520704 8672094248237 9837002430836 9910964855128 11242288492384 16567583041408 17344188496474 19674004861672 19821929710256 22484576984768 23538541530929 33135166082816 34688376992948 39348009723344 39643859420512 44969153969536 47077083061858 69376753985896 78696019446688 79287718841024 89938307939072 94154166123716 138753507971792 157392038893376 158575437682048 164769790716503 188308332247432 277507015943584 314784077786752 317150875364096 329539581433006 376616664494864 555014031887168 629568155573504 659079162866012 753233328989728 1110028063774336 1318158325732024 1506466657979456 2220056127548672 2636316651464048 3012933315958912 5272633302928096 6025866631917824 10545266605856192 21090533211712384 42181066423424768
• Sum of all divisors σ(n): 102803646074519040
• Sum of proper divisors (its aliquot sum) s(n): 60622579651094272
• 42181066423424768 is an abundant number, because the sum of its proper divisors (60622579651094272) is greater than itself. Its abundance is 18441513227669504

Bases of 42181066423424768

• Binary: 10010101110110110111010011011000011010100101011100000000₂
• Hexadecimal: 0x95DB74D86A5700
• Base-36: BJBXUEHN94W

Squares and roots of 42181066423424768

• 42181066423424768 squared (42181066423424768²) is 1779242364617372349373910155853824
• 42181066423424768 cubed (42181066423424768³) is 75050340365296733269398258765403289491633269112832
• The square root of 42181066423424768 is 205380297.0672327371
• The cube root of 42181066423424768 is 348101.4656111497

Scales and comparisons

• 42,181,066,423,424,768 seconds is equal to 1,341,227,437 years, 34 weeks, 2 days, 3 hours, 46 minutes, 8 seconds.
• To count from 1 to 42,181,066,423,424,768 would take you about four billion, twenty-three million, six hundred eighty-two thousand, three hundred twelve 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 42181066423424768 cubic inches would be around 29008.5 feet tall.

Recreational maths with 42181066423424768

• 42181066423424768 backwards is 86742432466018124
• The number of decimal digits it has is: 17
• The sum of 42181066423424768's digits is 68
• More coming soon!