468800901006336

Names of 468800901006336

• Cardinal: 468800901006336 can be written as Four hundred sixty-eight trillion, eight hundred billion, nine hundred one million, six thousand, three hundred thirty-six.

Scientific notation

• Scientific notation: 4.68800901006336 × 10¹⁴

Factors of 468800901006336

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 997414793

Divisors of 468800901006336

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1024 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3072 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9216 9792 13056 13824 14688 17408 19584 26112 27648 29376 39168 52224 58752 78336 117504 156672 235008 470016 997414771 1994829542 2992244313 3989659084 5984488626 7979318168 8976732939 11968977252 15958636336 16956051107 17953465878 23937954504 26930198817 31917272672 33912102214 35906931756 47875909008 50868153321 53860397634 63834545344 67824204428 71813863512 95751818016 101736306642 107720795268 127669090688 135648408856 143627727024 152604459963 191503636032 203472613284 215441590536 255338181376 271296817712 287255454048 305208919926 383007272064 406945226568 430883181072 457813379889 510676362752 542593635424 574510908096 610417839852 766014544128 813890453136 861766362144 915626759778 1021352725504 1085187270848 1149021816192 1220835679704 1532029088256 1627780906272 1723532724288 1831253519556 2170374541696 2298043632384 2441671359408 3064058176512 3255561812544 3447065448576 3662507039112 4340749083392 4596087264768 4883342718816 6511123625088 6894130897152 7325014078224 8681498166784 9192174529536 9766685437632 13022247250176 13788261794304 14650028156448 17362996333568 19533370875264 26044494500352 27576523588608 29300056312896 39066741750528 52088989000704 58600112625792 78133483501056 117200225251584 156266967002112 234400450503168 468800901006336
• Sum of all divisors σ(n): 1470029787564480
• Sum of proper divisors (its aliquot sum) s(n): 1001228886558144
• 468800901006336 is an abundant number, because the sum of its proper divisors (1001228886558144) is greater than itself. Its abundance is 532427985551808

Bases of 468800901006336

• Binary: 1101010100101111100110111001011001100010000000000₂
• Hexadecimal: 0x1AA5F372CC400
• Base-36: 4M6C5SDMO0

Squares and roots of 468800901006336

• 468800901006336 squared (468800901006336²) is 219774284784352446017512144896
• 468800901006336 cubed (468800901006336³) is 103030382724927507262957212403654308246061056
• The square root of 468800901006336 is 21651810.5710893379
• The cube root of 468800901006336 is 77683.6243028371

Scales and comparisons

• 468,800,901,006,336 seconds is equal to 14,906,418 years, 28 weeks, 6 days, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 468,800,901,006,336 would take you about thirty-seven million, two hundred sixty-six thousand and forty-six 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 468800901006336 cubic inches would be around 6473.6 feet tall.

Recreational maths with 468800901006336

• 468800901006336 backwards is 633600109008864
• 468800901006336 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468800901006336's digits is 54
• More coming soon!