42351884900381952

Names of 42351884900381952

• Cardinal: 42351884900381952 can be written as Forty-two quadrillion, three hundred fifty-one trillion, eight hundred eighty-four billion, nine hundred million, three hundred eighty-one thousand, nine hundred fifty-two.

Scientific notation

• Scientific notation: 4.2351884900381952 × 10¹⁶

Factors of 42351884900381952

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4033771052

Divisors of 42351884900381952

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 64 72 84 93 96 98 108 112 124 126 128 144 147 168 186 189 192 196 216 217 224 248 252 256 279 288 294 336 372 378 384 392 432 434 441 448 496 504 558 576 588 651 672 744 756 768 784 837 864 868 882 896 992 1008 1116 1152 1176 1302 1323 1344 1488 1512 1519 1568 1674 1728 1736 1764 1792 1953 1984 2016 2232 2304 2352 2604 2646 2688 2976 3024 3038 3136 3348 3456 3472 3528 3906 3968 4032 4464 4557 4704 5208 5292 5376 5859 5952 6048 6076 6272 6696 6912 6944 7056 7812 7936 8064 8928 9114 9408 10416 10584 11718 11904 12096 12152 12544 13392 13671 13888 14112 15624 16128 17856 18228 18816 20832 21168 23436 23808 24192 24304 26784 27342 27776 28224 31248 35712 36456 37632 41013 41664 42336 46872 48384 48608 53568 54684 55552 56448 62496 71424 72912 82026 83328 84672 93744 97216 107136 109368 112896 124992 145824 164052 166656 169344 187488 194432 214272 218736 249984 291648 328104 338688 374976 388864 437472 499968 583296 656208 749952 874944 1166592 1312416 1499904 1749888 2624832 3499776 5249664 10499328 4033771009 8067542018 12101313027 16135084036 24202626054 28236397063 32270168072 36303939081 48405252108 56472794126 64540336144 72607878162 84709191189 96810504216 108911817243 112945588252 125046901279 129080672288 145215756324 169418382378 193621008432 197654779441 217823634486 225891176504 250093802558 254127573567 258161344576 290431512648 338836764756 375140703837 387242016864 395309558882 435647268972 451782353008 500187605116 508255147134 516322689152 580863025296 592964338323 677673529512 750281407674 762382720701 774484033728 790619117764 871294537944 875328308953 903564706016 1000375210232 1016510294268 1032645378304 1125422111511 1161726050592 1185928676646 1355347059024 1500562815348 1524765441402 1548968067456 1581238235528 1742589075888 1750656617906 1778893014969 1807129412032 2000750420464 2033020588536 2250844223022 2323452101184 2371857353292 2625984926859 2710694118048 3001125630696 3049530882804 3097936134912 3162476471056 3376266334533 3485178151776 3501313235812 3557786029938 3614258824064 4001500840928 4066041177072 4501688446044 4646904202368 4743714706584 5251969853718 5336679044907 5421388236096 6002251261392 6099061765608 6127298162671 6324952942112 6752532669066 6970356303552 7002626471624 7115572059876 7228517648128 7877954780577 8003001681856 8132082354144 9003376892088 9293808404736 9487429413168 10503939707436 10673358089814 10842776472192 12004502522784 12198123531216 12254596325342 12649905884224 13505065338132 13940712607104 14005252943248 14231144119752 15755909561154 16006003363712 16264164708288 18006753784176 18381894488013 18974858826336 21007879414872 21346716179628 21685552944384 23633864341731 24009005045568 24396247062432 24509192650684 25299811768448 27010130676264 27881425214208 28010505886496 28462288239504 31511819122308 32012006727424 32528329416576 36013507568352 36763788976026 37949717652672 42015758829744 42693432359256 47267728683462 48018010091136 48792494124864 49018385301368 50599623536896 54020261352528 55145683464039 56021011772992 56924576479008 63023638244616 65056658833152 72027015136704 73527577952052 75899435305344 84031517659488 85386864718512 94535457366924 96036020182272 97584988249728 98036770602736 108040522705056 110291366928078 112042023545984 113849152958016 126047276489232 144054030273408 147055155904104 151798870610688 165437050392117 168063035318976 170773729437024 189070914733848 195169976499456 196073541205472 216081045410112 220582733856156 224084047091968 227698305916032 252094552978464 288108060546816 294110311808208 330874100784234 336126070637952 341547458874048 378141829467696 392147082410944 432162090820224 441165467712312 455396611832064 504189105956928 588220623616416 661748201568468 672252141275904 683094917748096 756283658935392 784294164821888 864324181640448 882330935424624 1008378211913856 1176441247232832 1323496403136936 1366189835496192 1512567317870784 1568588329643776 1764661870849248 2016756423827712 2352882494465664 2646992806273872 3025134635741568 3529323741698496 4705764988931328 5293985612547744 6050269271483136 7058647483396992 10587971225095488 14117294966793984 21175942450190976 42351884900381952
• Sum of all divisors σ(n): 150389309706585600
• Sum of proper divisors (its aliquot sum) s(n): 108037424806203648
• 42351884900381952 is an abundant number, because the sum of its proper divisors (108037424806203648) is greater than itself. Its abundance is 65685539905821696

Bases of 42351884900381952

• Binary: 10010110011101101101000010011111000011100011010100000000₂
• Hexadecimal: 0x9676D09F0E3500
• Base-36: BL0HNBSF9C0

Squares and roots of 42351884900381952

• 42351884900381952 squared (42351884900381952²) is 1793682154615200784282795487330304
• 42351884900381952 cubed (42351884900381952³) is 75965820160132087892654268699610825591986384273408
• The square root of 42351884900381952 is 205795735.8654011373
• The cube root of 42351884900381952 is 348570.7288799687

Scales and comparisons

• 42,351,884,900,381,952 seconds is equal to 1,346,658,936 years, 44 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 42,351,884,900,381,952 would take you about four billion, thirty-nine million, nine hundred seventy-six thousand, eight hundred ten 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 42351884900381952 cubic inches would be around 29047.6 feet tall.

Recreational maths with 42351884900381952

• 42351884900381952 backwards is 25918300948815324
• 42351884900381952 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42351884900381952's digits is 72
• More coming soon!