42181217484800

Names of 42181217484800

• Cardinal: 42181217484800 can be written as Forty-two trillion, one hundred eighty-one billion, two hundred seventeen million, four hundred eighty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.21812174848 × 10¹³

Factors of 42181217484800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 30

Divisors of 42181217484800

• Number of divisors d(n): 342
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 512 529 575 640 736 800 920 1024 1058 1150 1280 1472 1600 1840 2048 2116 2300 2560 2645 2944 3200 3680 4096 4232 4600 5120 5290 5888 6400 7360 8192 8464 9200 10240 10580 11776 12167 12800 13225 14720 16384 16928 18400 20480 21160 23552 24334 25600 26450 29440 32768 33856 36800 40960 42320 47104 48668 51200 52900 58880 60835 65536 67712 73600 81920 84640 94208 97336 102400 105800 117760 121670 131072 135424 147200 163840 169280 188416 194672 204800 211600 235520 243340 262144 270848 279841 294400 304175 327680 338560 376832 389344 409600 423200 471040 486680 541696 559682 588800 608350 655360 677120 753664 778688 819200 846400 942080 973360 1083392 1119364 1177600 1216700 1310720 1354240 1399205 1507328 1557376 1638400 1692800 1884160 1946720 2166784 2238728 2355200 2433400 2708480 2798410 3014656 3114752 3276800 3385600 3768320 3893440 4333568 4477456 4710400 4866800 5416960 5596820 6029312 6229504 6436343 6553600 6771200 6996025 7536640 7786880 8667136 8954912 9420800 9733600 10833920 11193640 12459008 12872686 13542400 13992050 15073280 15573760 17334272 17909824 18841600 19467200 21667840 22387280 24918016 25745372 27084800 27984100 30146560 31147520 32181715 34668544 35819648 37683200 38934400 43335680 44774560 49836032 51490744 54169600 55968200 62295040 64363430 69337088 71639296 75366400 77868800 86671360 89549120 99672064 102981488 108339200 111936400 124590080 128726860 138674176 143278592 150732800 155737600 160908575 173342720 179098240 199344128 205962976 216678400 223872800 249180160 257453720 286557184 311475200 321817150 346685440 358196480 398688256 411925952 433356800 447745600 498360320 514907440 573114368 622950400 643634300 693370880 716392960 797376512 823851904 866713600 895491200 996720640 1029814880 1146228736 1245900800 1287268600 1432785920 1594753024 1647703808 1733427200 1790982400 1993441280 2059629760 2292457472 2491801600 2574537200 2865571840 3189506048 3295407616 3466854400 3581964800 3986882560 4119259520 4584914944 4983603200 5149074400 5731143680 6590815232 7163929600 7973765120 8238519040 9169829888 9967206400 10298148800 11462287360 13181630464 14327859200 15947530240 16477038080 18339659776 19934412800 20596297600 22924574720 26363260928 28655718400 32954076160 36679319552 39868825600 41192595200 45849149440 52726521856 57311436800 65908152320 73358639104 79737651200 82385190400 91698298880 105453043712 114622873600 131816304640 164770380800 183396597760 210906087424 229245747200 263632609280 329540761600 366793195520 421812174848 458491494400 527265218560 659081523200 843624349696 916982988800 1054530437120 1318163046400 1687248699392 1833965977600 2109060874240 2636326092800 4218121748480 5272652185600 8436243496960 10545304371200 21090608742400 42181217484800
• Sum of all divisors σ(n): 109364183634888
• Sum of proper divisors (its aliquot sum) s(n): 67182966150088
• 42181217484800 is an abundant number, because the sum of its proper divisors (67182966150088) is greater than itself. Its abundance is 25001748665288

Bases of 42181217484800

• Binary: 1001100101110100010100011111000000000000000000₂
• Hexadecimal: 0x265D147C0000
• Base-36: EY9S7SXKW

Squares and roots of 42181217484800

• 42181217484800 squared (42181217484800²) is 1779255108499997238231040000
• 42181217484800 cubed (42181217484800³) is 75051146692579804606022855470088192000000
• The square root of 42181217484800 is 6494706.8821310173
• The cube root of 42181217484800 is 34810.1881157965

Scales and comparisons

• 42,181,217,484,800 seconds is equal to 1,341,232 years, 12 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 42,181,217,484,800 would take you about three million, three hundred fifty-three 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 42181217484800 cubic inches would be around 2900.8 feet tall.

Recreational maths with 42181217484800

• 42181217484800 backwards is 00848471218124
• 42181217484800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42181217484800's digits is 50
• More coming soon!