42107021146725408

Names of 42107021146725408

• Cardinal: 42107021146725408 can be written as Forty-two quadrillion, one hundred seven trillion, twenty-one billion, one hundred forty-six million, seven hundred twenty-five thousand, four hundred eight.

Scientific notation

• Scientific notation: 4.2107021146725408 × 10¹⁶

Factors of 42107021146725408

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 523

Divisors of 42107021146725408

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 379 417 556 758 834 1112 1137 1251 1516 1668 2224 2274 2502 3032 3336 3411 4448 4548 5004 6064 6672 6822 9096 10008 12128 13344 13644 18192 19321 20016 27288 36384 38642 40032 52681 54576 57963 77284 105362 109152 115926 143641 154568 158043 173889 210724 231852 287282 309136 316086 347778 421448 430923 463704 474129 574564 618272 632172 695556 842896 861846 927408 948258 1149128 1264344 1292769 1391112 1685792 1723692 1854816 1896516 2298256 2528688 2585538 2685619 2782224 3447384 3793032 4596512 5057376 5171076 5371238 5564448 6894768 7322659 7586064 8056857 10342152 10742476 13789536 14645318 15172128 16113714 19966099 20684304 21484952 21967977 24170571 29290636 32227428 39932198 41368608 42969904 43935954 48341142 54439939 58581272 59898297 64454856 65903931 79864396 85939808 87871908 96682284 108879878 117162544 119796594 128909712 131807862 159728792 163319817 175743816 179694891 193364568 217759756 234325088 239593188 257819424 263615724 319457584 326639634 351487632 359389782 386729136 435519512 479186376 489959451 527231448 638915168 653279268 702975264 718779564 773458272 871039024 958372752 979918902 1017849601 1054462896 1306558536 1437559128 1742078048 1916745504 1959837804 2035699202 2108925792 2613117072 2775287761 2875118256 3053548803 3919675608 4071398404 5226234144 5550575522 5750236512 6107097606 7567151521 7839351216 8142796808 8325863283 9160646409 11101151044 12214195212 15134303042 15678702432 16285593616 16651726566 18321292818 22202302088 22701454563 24428390424 24977589849 30268606084 32571187232 33303453132 36642585636 44404604176 45402909126 48856780848 49955179698 60537212168 66606906264 68104363689 73285171272 88809208352 90805818252 97713561696 99910359396 121074424336 133213812528 136208727378 146570342544 181611636504 199820718792 242148848672 266427625056 272417454756 293140685088 363223273008 385764998779 399641437584 544834909512 726446546016 771529997558 799282875168 1051834061419 1089669819024 1157294996337 1543059995116 2103668122838 2179339638048 2314589992674 3086119990232 3155502184257 3471884989011 4207336245676 4629179985348 6172239980464 6311004368514 6943769978022 8414672491352 9258359970696 9466506552771 12344479960928 12622008737028 13887539956044 16829344982704 18516719941392 18933013105542 25244017474056 27775079912088 33658689965408 37033439882784 37866026211084 50488034948112 55550159824176 75732052422168 100976069896224 111100319648352 146204934537241 151464104844336 292409869074482 302928209688672 438614803611723 584819738148964 877229607223446 1169639476297928 1315844410835169 1754459214446892 2339278952595856 2631688821670338 3508918428893784 4678557905191712 5263377643340676 7017836857787568 10526755286681352 14035673715575136 21053510573362704 42107021146725408
• Sum of all divisors σ(n): 120928608405259200
• Sum of proper divisors (its aliquot sum) s(n): 78821587258533792
• 42107021146725408 is an abundant number, because the sum of its proper divisors (78821587258533792) is greater than itself. Its abundance is 36714566111808384

Bases of 42107021146725408

• Binary: 10010101100110000001110011010110000000000001110000100000₂
• Hexadecimal: 0x95981CD6001C20
• Base-36: BILOYGZOW80

Squares and roots of 42107021146725408

• 42107021146725408 squared (42107021146725408²) is 1773001229850780693307481352766464
• 42107021146725408 cubed (42107021146725408³) is 74655800278496978353850253122108978680795359117312
• The square root of 42107021146725408 is 205199954.0612166121
• The cube root of 42107021146725408 is 347897.6587980357

Scales and comparisons

• 42,107,021,146,725,408 seconds is equal to 1,338,873,026 years, 46 weeks, 4 days, 19 hours, 16 minutes, 48 seconds.
• To count from 1 to 42,107,021,146,725,408 would take you about four billion, sixteen million, six hundred nineteen thousand and eighty 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 42107021146725408 cubic inches would be around 28991.5 feet tall.

Recreational maths with 42107021146725408

• 42107021146725408 backwards is 80452764112070124
• The number of decimal digits it has is: 17
• The sum of 42107021146725408's digits is 54
• More coming soon!