40088207128822125

Names of 40088207128822125

• Cardinal: 40088207128822125 can be written as Forty quadrillion, eighty-eight trillion, two hundred seven billion, one hundred twenty-eight million, eight hundred twenty-two thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 4.0088207128822125 × 10¹⁶

Factors of 40088207128822125

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 4990

Divisors of 40088207128822125

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 229 273 325 375 455 525 687 875 975 1145 1365 1603 1625 2275 2625 2977 3435 4733 4809 4875 5725 6825 8015 8931 11375 14199 14885 17175 20839 23665 24045 28625 33131 34125 40075 44655 52441 61529 62517 70995 74425 85875 99393 104195 118325 120225 157323 165655 184587 200375 223275 262205 307645 312585 354975 367087 372125 430703 496965 520975 591625 601125 681733 786615 828275 922935 1083857 1101261 1116375 1292109 1311025 1538225 1562925 1774875 1835435 2045199 2153515 2484825 2604875 3251571 3408665 3933075 4141375 4614675 4772131 5419285 5506305 6460545 6555125 7586999 7691125 7814625 9177175 10225995 10767575 12424125 14090141 14316393 16257855 17043325 19665375 22401289 22760997 23073375 23860655 27096425 27531525 32302725 37934995 42270423 45885875 51129975 53837875 67203867 70450705 71581965 81289275 85216625 98630987 112006445 113804985 119303275 135482125 137657625 156809023 161513625 189674975 211352115 248203253 255649875 291216757 295892961 336019335 352253525 357909825 406446375 470427069 493154935 560032225 569024925 596516375 744609759 784045115 873650271 948374875 1056760575 1241016265 1456083785 1479464805 1680096675 1737422771 1761267625 1789549125 2038517299 2352135345 2465774675 2800161125 2845124625 3226642289 3723048795 3920225575 4368251355 5129895181 5212268313 5283802875 6115551897 6205081325 7280418925 7397324025 8400483375 8687113855 9679926867 10192586495 11760676725 12328873375 15389685543 16133211445 18615243975 19601127875 21841256775 22586496023 25649475905 26061341565 30577759485 31025406625 35909266267 36402094625 36986620125 43435569275 48399634335 50962932475 58803383625 66688637353 67759488069 76948427715 80666057225 93076219875 107727798801 109206283875 112932480115 128247379525 130306707825 152888797425 179546331335 200065912059 217177846375 241998171675 254814662375 333443186765 338797440345 384742138575 403330286125 466820461471 538638994005 564662400575 641236897625 651533539125 764443987125 897731656675 1000329560295 1174745996449 1209990858375 1400461384413 1667215933825 1693987201725 1923710692875 2334102307355 2693194970025 2823312002875 3524237989347 4488658283375 5001647801475 5873729982245 7002306922065 8223221975143 8336079669125 8469936008625 11670511536775 13465974850125 15271697953837 17621189946735 24669665925429 25008239007375 29368649911225 35011534610325 41116109875715 45815093861511 58352557683875 76358489769185 88105949733675 106901885676859 123348329627145 146843249556125 175057673051625 205580549378575 229075469307555 320705657030577 381792448845925 440529748668375 534509428384295 616741648135725 1027902746892875 1145377346537775 1603528285152885 1908962244229625 2672547141921475 3083708240678625 5726886732688875 8017641425764425 13362735709607375 40088207128822125
• Sum of all divisors σ(n): 82478158084917504
• Sum of proper divisors (its aliquot sum) s(n): 42389950956095379
• 40088207128822125 is an abundant number, because the sum of its proper divisors (42389950956095379) is greater than itself. Its abundance is 2301743827273254

Bases of 40088207128822125

• Binary: 10001110011011000000001100010001100110001000000101101101₂
• Hexadecimal: 0x8E6C031198816D
• Base-36: AYQ3045NY3X

Squares and roots of 40088207128822125

• 40088207128822125 squared (40088207128822125²) is 1607064350803345042954889889515625
• 40088207128822125 cubed (40088207128822125³) is 64424328564350557056631883094774699442793033203125
• The square root of 40088207128822125 is 200220396.3856383065
• The cube root of 40088207128822125 is 342246.3915581867

Scales and comparisons

• 40,088,207,128,822,125 seconds is equal to 1,274,680,985 years, 37 weeks, 6 days, 19 hours, 28 minutes, 45 seconds.
• To count from 1 to 40,088,207,128,822,125 would take you about three billion, eight hundred twenty-four million, forty-two thousand, nine hundred fifty-seven 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 40088207128822125 cubic inches would be around 28520.5 feet tall.

Recreational maths with 40088207128822125

• 40088207128822125 backwards is 52122882170288004
• The number of decimal digits it has is: 17
• The sum of 40088207128822125's digits is 60
• More coming soon!