42281677123765248

Names of 42281677123765248

• Cardinal: 42281677123765248 can be written as Forty-two quadrillion, two hundred eighty-one trillion, six hundred seventy-seven billion, one hundred twenty-three million, seven hundred sixty-five thousand, two hundred forty-eight.

Scientific notation

• Scientific notation: 4.2281677123765248 × 10¹⁶

Factors of 42281677123765248

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3277820195

Divisors of 42281677123765248

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 38 39 48 51 52 57 64 68 76 78 96 102 104 114 128 136 152 156 192 204 208 221 228 247 256 272 304 312 323 384 408 416 442 456 494 512 544 608 624 646 663 741 768 816 832 884 912 969 988 1024 1088 1216 1248 1292 1326 1482 1536 1632 1664 1768 1824 1938 1976 2176 2432 2496 2584 2652 2964 3072 3264 3328 3536 3648 3876 3952 4199 4352 4864 4992 5168 5304 5928 6528 6656 7072 7296 7752 7904 8398 8704 9728 9984 10336 10608 11856 12597 13056 13312 14144 14592 15504 15808 16796 17408 19456 19968 20672 21216 23712 25194 26112 28288 29184 31008 31616 33592 39936 41344 42432 47424 50388 52224 56576 58368 62016 63232 67184 82688 84864 94848 100776 113152 124032 126464 134368 165376 169728 189696 201552 226304 248064 252928 268736 330752 339456 379392 403104 496128 537472 678912 758784 806208 992256 1074944 1612416 2149888 3224832 4299776 6449664 12899328 3277820141 6555640282 9833460423 13111280564 19666920846 26222561128 39333841692 42611661833 52445122256 55722942397 62278582679 78667683384 85223323666 104890244512 111445884794 124557165358 127834985499 157335366768 167168827191 170446647332 186835748037 209780489024 222891769588 249114330716 255669970998 314670733536 334337654382 340893294664 373671496074 419560978048 445783539176 498228661432 511339941996 629341467072 668675308764 681786589328 724398251161 747342992148 809621574827 839121956096 891567078352 996457322864 1022679883992 1058735905543 1258682934144 1337350617528 1363573178656 1448796502322 1494685984296 1619243149654 1678243912192 1783134156704 1992914645728 2045359767984 2117471811086 2173194753483 2428864724481 2517365868288 2674701235056 2727146357312 2897593004644 2989371968592 3176207716629 3238486299308 3356487824384 3566268313408 3985829291456 4090719535968 4234943622172 4346389506966 4857729448962 5034731736576 5349402470112 5454292714624 5795186009288 5978743937184 6352415433258 6476972598616 7132536626816 7971658582912 8181439071936 8469887244344 8692779013932 9715458897924 10069463473152 10698804940224 10908585429248 11590372018576 11957487874368 12704830866516 12953945197232 13763566772059 14265073253632 15943317165824 16362878143872 16939774488688 17385558027864 19430917795848 21397609880448 21817170858496 23180744037152 23914975748736 25409661733032 25907890394464 27527133544118 28530146507264 31886634331648 32725756287744 33879548977376 34771116055728 38861835591696 41290700316177 42795219760896 43634341716992 46361488074304 47829951497472 50819323466064 51815780788928 55054267088236 57060293014528 63773268663296 65451512575488 67759097954752 69542232111456 77723671183392 82581400632354 85590439521792 92722976148608 95659902994944 101638646932128 103631561577856 110108534176472 130903025150976 135518195909504 139084464222912 155447342366784 165162801264708 171180879043584 185445952297216 191319805989888 203277293864256 207263123155712 220217068352944 271036391819008 278168928445824 310894684733568 330325602529416 370891904594432 406554587728512 414526246311424 440434136705888 542072783638016 556337856891648 621789369467136 660651205058832 741783809188864 813109175457024 829052492622848 880868273411776 1084145567276032 1112675713783296 1243578738934272 1321302410117664 1626218350914048 1761736546823552 2225351427566592 2487157477868544 2642604820235328 3252436701828096 3523473093647104 5285209640470656 7046946187294208 10570419280941312 14093892374588416 21140838561882624 42281677123765248
• Sum of all divisors σ(n): 135267508266387840
• Sum of proper divisors (its aliquot sum) s(n): 92985831142622592
• 42281677123765248 is an abundant number, because the sum of its proper divisors (92985831142622592) is greater than itself. Its abundance is 50704154018857344

Bases of 42281677123765248

• Binary: 10010110001101101111011000011001011110000100010000000000₂
• Hexadecimal: 0x9636F619784400
• Base-36: BKBLQBIXQTC

Squares and roots of 42281677123765248

• 42281677123765248 squared (42281677123765248²) is 1787740220398333494839628612501504
• 42281677123765248 cubed (42281677123765248³) is 75588654780051259904264747569280109596352542932992
• The square root of 42281677123765248 is 205625088.7507778025
• The cube root of 42281677123765248 is 348378.0108839345

Scales and comparisons

• 42,281,677,123,765,248 seconds is equal to 1,344,426,546 years, 37 weeks, 3 days, 13 hours, 48 seconds.
• To count from 1 to 42,281,677,123,765,248 would take you about four billion, thirty-three million, two hundred seventy-nine thousand, six hundred forty 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 42281677123765248 cubic inches would be around 29031.5 feet tall.

Recreational maths with 42281677123765248

• 42281677123765248 backwards is 84256732177618224
• The number of decimal digits it has is: 17
• The sum of 42281677123765248's digits is 75
• More coming soon!