12456738123890400

Names of 12456738123890400

• Cardinal: 12456738123890400 can be written as Twelve quadrillion, four hundred fifty-six trillion, seven hundred thirty-eight billion, one hundred twenty-three million, eight hundred ninety thousand, four hundred.

Scientific notation

• Scientific notation: 1.24567381238904 × 10¹⁶

Factors of 12456738123890400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 192233613033

Divisors of 12456738123890400

• Number of divisors d(n): 180
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 270 288 300 324 360 400 405 432 450 480 540 600 648 675 720 800 810 864 900 1080 1200 1296 1350 1440 1620 1800 2025 2160 2400 2592 2700 3240 3600 4050 4320 5400 6480 7200 8100 10800 12960 16200 21600 32400 64800 192233613023 384467226046 576700839069 768934452092 961168065115 1153401678138 1537868904184 1730102517207 1922336130230 2306803356276 2883504195345 3075737808368 3460205034414 3844672260460 4613606712552 4805840325575 5190307551621 5767008390690 6151475616736 6920410068828 7689344520920 8650512586035 9227213425104 9611680651150 10380615103242 11534016781380 13840820137656 14417520976725 15378689041840 15570922654863 17301025172070 18454426850208 19223361302300 20761230206484 23068033562760 25951537758105 27681640275312 28835041953450 30757378083680 31141845309726 34602050344140 38446722604600 41522460412968 43252562930175 46136067125520 51903075516210 55363280550624 57670083906900 62283690619452 69204100688280 76893445209200 77854613274315 83044920825936 86505125860350 92272134251040 103806151032420 115340167813800 124567381238904 129757688790525 138408201376560 153786890418400 155709226548630 166089841651872 173010251720700 207612302064840 230680335627600 249134762477808 259515377581050 276816402753120 311418453097260 346020503441400 389273066371575 415224604129680 461360671255200 498269524955616 519030755162100 622836906194520 692041006882800 778546132743150 830449208259360 1038061510324200 1245673812389040 1384082013765600 1557092265486300 2076123020648400 2491347624778080 3114184530972600 4152246041296800 6228369061945200 12456738123890400
• Sum of all divisors σ(n): 45427301794540512
• Sum of proper divisors (its aliquot sum) s(n): 32970563670650112
• 12456738123890400 is an abundant number, because the sum of its proper divisors (32970563670650112) is greater than itself. Its abundance is 20513825546759712

Bases of 12456738123890400

• Binary: 101100010000010101011001011010111011110011111011100000₂
• Hexadecimal: 0x2C41565AEF3EE0
• Base-36: 3ENJMHRIM00

Squares and roots of 12456738123890400

• 12456738123890400 squared (12456738123890400²) is 155170324687184522379231212160000
• 12456738123890400 cubed (12456738123890400³) is 1932916099227303146558385202671440646987264000000
• The square root of 12456738123890400 is 111609758.1929573037
• The cube root of 12456738123890400 is 231811.3937541347

Scales and comparisons

• 12,456,738,123,890,400 seconds is equal to 396,085,741 years, 6 weeks, 1 day, 6 hours.
• To count from 1 to 12,456,738,123,890,400 would take you about one billion, one hundred eighty-eight million, two hundred fifty-seven thousand, two hundred twenty-three 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 12456738123890400 cubic inches would be around 19317.6 feet tall.

Recreational maths with 12456738123890400

• 12456738123890400 backwards is 00409832183765421
• The number of decimal digits it has is: 17
• The sum of 12456738123890400's digits is 63
• More coming soon!