801153229415015214848

Names of 801153229415015214848

• Cardinal: 801153229415015214848 can be written as Eight hundred one quintillion, one hundred fifty-three quadrillion, two hundred twenty-nine trillion, four hundred fifteen billion, fifteen million, two hundred fourteen thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 8.01153229415015214848 × 10²⁰

Factors of 801153229415015214848

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 170

Divisors of 801153229415015214848

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 121 128 157 176 242 256 314 352 484 628 704 968 1256 1331 1408 1727 1936 2512 2662 2816 3454 3872 5024 5324 6908 7744 10048 10648 13816 15488 18997 20096 21296 24649 27632 30976 37994 40192 42592 49298 55264 75988 85184 98596 110528 151976 170368 197192 208967 221056 271139 303952 340736 394384 417934 442112 542278 607904 788768 835868 1084556 1215808 1577536 1671736 2169112 2431616 2982529 3155072 3343472 3869893 4338224 4863232 5965058 6310144 6686944 7739786 8676448 11930116 13373888 15479572 17352896 23860232 26747776 30959144 32807819 34705792 42568823 47720464 53495552 61918288 65615638 69411584 85137646 95440928 123836576 131231276 170275292 190881856 247673152 262462552 340550584 381763712 468257053 495346304 524925104 607573201 681101168 763527424 936514106 990692608 1049850208 1215146402 1362202336 1873028212 2099700416 2430292804 2724404672 3746056424 4199400832 4860585608 5150827583 5448809344 6683305211 7492112848 8398801664 9721171216 10301655166 10897618688 13366610422 14984225696 19442342432 20603310332 26733220844 29968451392 38884684864 41206620664 53466441688 59936902784 73516357321 77769369728 82413241328 95388992557 106932883376 119873805568 147032714642 155538739456 164826482656 190777985114 213865766752 294065429284 329652965312 381555970228 427731533504 588130858568 659305930624 763111940456 808679930531 855463067008 1049278918127 1176261717136 1318611861248 1526223880912 1617359861062 1710926134016 2098557836254 2352523434272 3052447761824 3234719722124 4197115672508 4705046868544 6104895523648 6469439444248 8394231345016 9410093737088 11542068099397 12209791047296 12938878888496 14976071831449 16788462690032 18820187474176 23084136198794 24419582094592 25877757776992 29952143662898 33576925380064 46168272397588 51755515553984 59904287325796 67153850760128 92336544795176 103511031107968 119808574651592 126962749093367 134307701520256 164736790145939 184673089590352 207022062215936 239617149303184 253925498186734 268615403040512 329473580291878 369346179180704 479234298606368 507850996373468 658947160583756 738692358361408 958468597212736 1015701992746936 1317894321167512 1477384716722816 1812104691605329 1916937194425472 2031403985493872 2351243277537493 2635788642335024 2954769433445632 3624209383210658 3833874388850944 4062807970987744 4702486555074986 5271577284670048 7248418766421316 8125615941975488 9404973110149972 10543154569340096 14496837532842632 16251231883950976 18809946220299944 19933151607658619 21086309138680192 25863676052912423 28993675065685264 32502463767901952 37619892440599888 39866303215317238 42172618277360384 51727352105824846 57987350131370528 75239784881199776 79732606430634476 103454704211649692 115974700262741056 150479569762399552 159465212861268952 206909408423299384 231949400525482112 284500436582036653 300959139524799104 318930425722537904 413818816846598768 463898801050964224 569000873164073306 601918279049598208 637860851445075808 827637633693197536 1138001746328146612 1275721702890151616 1655275267386395072 2276003492656293224 2551443405780303232 3129504802402403183 3310550534772790144 4552006985312586448 5102886811560606464 6259009604804806366 6621101069545580288 9104013970625172896 12518019209609612732 18208027941250345792 25036038419219225464 36416055882500691584 50072076838438450928 72832111765001383168 100144153676876901856 200288307353753803712 400576614707507607424 801153229415015214848
• Sum of all divisors σ(n): 1770249978468773457600
• Sum of proper divisors (its aliquot sum) s(n): 969096749053758242752
• 801153229415015214848 is an abundant number, because the sum of its proper divisors (969096749053758242752) is greater than itself. Its abundance is 167943519638743027904

Bases of 801153229415015214848

• Binary: 1010110110111000111100000010010111011000010011000000110110111100000000₂
• Hexadecimal: 0x2B6E3C097613036F00
• Base-36: 4P2SBHT1P8QSJK

Squares and roots of 801153229415015214848

• 801153229415015214848 squared (801153229415015214848²) is 641846497002108000091445516939331599663104
• 801153229415015214848 cubed (801153229415015214848³) is 514217393861953705932759910740370573031294208978514630978568192
• The square root of 801153229415015214848 is 28304650314.3037471945
• The cube root of 801153229415015214848 is 9287636.2061748545

Scales and comparisons

• 801,153,229,415,015,214,848 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 801,153,229,415,015,214,848 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 801153229415015214848 cubic inches would be around 773969.7 feet tall.

Recreational maths with 801153229415015214848

• 801153229415015214848 backwards is 848412510514922351108
• The number of decimal digits it has is: 21
• The sum of 801153229415015214848's digits is 74
• More coming soon!