18468342131276800

Names of 18468342131276800

• Cardinal: 18468342131276800 can be written as Eighteen quadrillion, four hundred sixty-eight trillion, three hundred forty-two billion, one hundred thirty-one million, two hundred seventy-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.84683421312768 × 10¹⁶

Factors of 18468342131276800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2785403968

Divisors of 18468342131276800

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 112 128 140 148 160 175 185 200 224 256 259 280 296 320 350 370 400 448 512 518 560 592 640 700 740 800 896 925 1024 1036 1120 1184 1280 1295 1400 1480 1600 1792 1850 2072 2240 2368 2560 2590 2800 2960 3200 3584 3700 4144 4480 4736 5120 5180 5600 5920 6400 6475 7168 7400 8288 8960 9472 10360 11200 11840 12800 12950 14800 16576 17920 18944 20720 22400 23680 25600 25900 29600 33152 35840 37888 41440 44800 47360 51800 59200 66304 82880 89600 94720 103600 118400 132608 165760 179200 189440 207200 236800 265216 331520 414400 473600 663040 828800 947200 1326080 1657600 3315200 6630400 2785403917 5570807834 11141615668 13927019585 19497827419 22283231336 27854039170 38995654838 44566462672 55708078340 69635097925 77991309676 89132925344 97489137095 103059944929 111416156680 139270195850 155982619352 178265850688 194978274190 206119889858 222832313360 278540391700 311965238704 356531701376 389956548380 412239779716 445664626720 487445685475 515299724645 557080783400 623930477408 713063402752 721419614503 779913096760 824479559432 891329253440 974891370950 1030599449290 1114161566800 1247860954816 1426126805504 1442839229006 1559826193520 1648959118864 1782658506880 1949782741900 2061198898580 2228323133600 2495721909632 2576498623225 2852253611008 2885678458012 3119652387040 3297918237728 3565317013760 3607098072515 3899565483800 4122397797160 4456646267200 4991443819264 5152997246450 5771356916024 6239304774080 6595836475456 7130634027520 7214196145030 7799130967600 8244795594320 8913292534400 9982887638528 10305994492900 11542713832048 12478609548160 13191672950912 14261268055040 14428392290060 15598261935200 16489591188640 17826585068800 18035490362575 19965775277056 20611988985800 23085427664096 24957219096320 26383345901824 28856784580120 31196523870400 32979182377280 35653170137600 36070980725150 41223977971600 46170855328192 49914438192640 52766691803648 57713569160240 62393047740800 65958364754560 71306340275200 72141961450300 82447955943200 92341710656384 99828876385280 105533383607296 115427138320480 124786095481600 131916729509120 144283922900600 164895911886400 184683421312768 230854276640960 249572190963200 263833459018240 288567845801200 329791823772800 369366842625536 461708553281920 499144381926400 527666918036480 577135691602400 659583647545600 738733685251072 923417106563840 1154271383204800 1319167295091200 1846834213127680 2308542766409600 2638334590182400 3693668426255360 4617085532819200 9234171065638400 18468342131276800
• Sum of all divisors σ(n): 53733026433055904
• Sum of proper divisors (its aliquot sum) s(n): 35264684301779104
• 18468342131276800 is an abundant number, because the sum of its proper divisors (35264684301779104) is greater than itself. Its abundance is 16796342170502304

Bases of 18468342131276800

• Binary: 1000001100111001101101111111100010100110011110000000000₂
• Hexadecimal: 0x419CDBFC533C00
• Base-36: 51UHB8YHYPS

Squares and roots of 18468342131276800

• 18468342131276800 squared (18468342131276800²) is 341079661077893695364798218240000
• 18468342131276800 cubed (18468342131276800³) is 6299175874806475857031343323112500816248832000000
• The square root of 18468342131276800 is 135898278.6177838237
• The cube root of 18468342131276800 is 264327.6757057805

Scales and comparisons

• 18,468,342,131,276,800 seconds is equal to 587,236,153 years, 22 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 18,468,342,131,276,800 would take you about one billion, seven hundred sixty-one million, seven hundred eight thousand, four hundred sixty 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 18468342131276800 cubic inches would be around 22027.3 feet tall.

Recreational maths with 18468342131276800

• 18468342131276800 backwards is 00867213124386481
• 18468342131276800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 18468342131276800's digits is 64
• More coming soon!