42166883608697601

Names of 42166883608697601

• Cardinal: 42166883608697601 can be written as Forty-two quadrillion, one hundred sixty-six trillion, eight hundred eighty-three billion, six hundred eight million, six hundred ninety-seven thousand, six hundred one.

Scientific notation

• Scientific notation: 4.2166883608697601 × 10¹⁶

Factors of 42166883608697601

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 991

Divisors of 42166883608697601

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 9 13 27 31 37 39 81 93 111 117 279 333 351 403 481 837 907 961 999 1053 1147 1209 1369 1443 2511 2721 2883 2997 3441 3627 4107 4329 8163 8649 10323 10881 11791 12321 12493 12987 14911 17797 24489 25947 28117 30969 32643 33559 35373 35557 36963 37479 38961 42439 44733 50653 53391 73467 77841 84351 92907 100677 106119 106671 110889 112437 127317 134199 151959 160173 253053 302031 318357 320013 337311 365521 381951 402597 436267 455877 462241 480519 551707 658489 759159 822649 871627 906093 955071 960039 1011933 1040329 1096563 1145853 1207791 1241683 1308801 1315609 1367631 1386723 1441557 1570243 1655121 1975467 2277477 2467947 2614881 2718279 2880117 3120987 3289689 3437559 3725049 3926403 3946827 4102893 4160169 4710729 4965363 5926401 7403841 7844643 9362961 9869067 10694437 11175147 11331151 11779209 11840481 12480507 13524277 14132187 14896089 16141879 17102917 17779203 20413159 22211523 23533929 25502119 28088883 29607201 30438013 32083311 32250199 33525441 33993453 35337627 35521443 37441521 38492173 40572831 42396561 44688267 45942271 48425637 48677533 51308751 53337609 61239477 66634569 70601787 76506357 84266649 91314039 96249933 96750597 100576323 101980359 106564329 115476519 121718493 127189683 137826813 145276911 146032599 153926253 183718431 229519071 273942117 288749799 290251791 305941077 331527547 346429557 365155479 395694169 413480439 419252587 435830733 438097797 461778759 500398249 551155293 597249523 632807929 688557213 790565689 821826351 866249397 870755373 917823231 943578403 994582641 1039288671 1095466437 1126206481 1187082507 1193257363 1240441317 1257757761 1307492199 1314293391 1385336277 1424210401 1501194747 1653465879 1791748569 1898423787 2065671639 2371697067 2465479053 2612266119 2830735209 2983747923 3117866013 3378619443 3561247521 3579772089 3721323951 3773273283 3942880173 4272631203 4503584241 5375245707 5695271361 7115091201 8492205627 8951243769 10135858329 10277353957 10683742563 10739316267 11319819849 12266519239 12817893609 13510752723 14640684253 15512345719 16125737121 17085814083 18514735213 21345273603 25476616881 26853731307 29250930493 30407574987 30832061871 32051227689 32217948801 33959459547 34912400911 36799557717 38453680827 40532258169 41669639797 43922052759 44150522431 46537037157 48377211363 51257442249 55544205639 64035820809 76429850643 87752791479 91222724961 92496185613 96653846403 104737202733 110398673151 115361042481 125008919391 131766158277 132451567293 139611111471 166632616917 263258374437 277488556839 314211608199 331196019453 375026758173 380262096409 395298474831 397354701879 418833334413 453861211843 499897850751 541705317361 573956791603 789775123311 832465670517 942634824597 993588058359 1082284428241 1125080274519 1140786289227 1185895424493 1192064105637 1256500003239 1291758833707 1361583635529 1499693552253 1625115952083 1721870374809 2369325369933 2827904473791 3246853284723 3375240823557 3422358867681 3576192316911 3875276501121 4084750906587 4875347856249 5165611124427 9740559854169 10267076603043 11625829503363 12254252719761 14069697567133 14626043568747 15496833373281 16792864838191 29221679562507 30801229809129 34877488510089 36762758159283 40044523844917 42209092701399 43878130706241 46490500119843 50378594514573 87665038687521 104632465530267 120133571534751 126627278104197 151135783543719 360400714604253 379881834312591 453407350631157 520578809983921 1081202143812759 1139645502937773 1360222051893471 1561736429951763 3243606431438277 4685209289855289 14055627869565867 42166883608697601
• Sum of all divisors σ(n): 72120790982033640
• Sum of proper divisors (its aliquot sum) s(n): 29953907373336039
• 42166883608697601 is a deficient number, because the sum of its proper divisors (29953907373336039) is less than itself. Its deficiency is 12212976235361562

Bases of 42166883608697601

• Binary: 10010101110011101000111010100110110010000001101100000001₂
• Hexadecimal: 0x95CE8EA6C81B01
• Base-36: BJ6WUWNY329

Squares and roots of 42166883608697601

• 42166883608697601 squared (42166883608697601²) is 1778046073269450418008135463155201
• 42166883608697601 cubed (42166883608697601³) is 74974661822454722517034837153015426314077739372801
• The square root of 42166883608697601 is 205345765.9867804555
• The cube root of 42166883608697601 is 348062.4464298371

Scales and comparisons

• 42,166,883,608,697,601 seconds is equal to 1,340,776,468 years, 1 week, 22 hours, 13 minutes, 21 seconds.
• To count from 1 to 42,166,883,608,697,601 would take you about four billion, twenty-two million, three hundred twenty-nine thousand, four hundred four 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 42166883608697601 cubic inches would be around 29005.2 feet tall.

Recreational maths with 42166883608697601

• 42166883608697601 backwards is 10679680638866124
• 42166883608697601 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42166883608697601's digits is 81
• More coming soon!