46997793825061806800896

Names of 46997793825061806800896

• Cardinal: 46997793825061806800896 can be written as Forty-six sextillion, nine hundred ninety-seven quintillion, seven hundred ninety-three quadrillion, eight hundred twenty-five trillion, sixty-one billion, eight hundred six million, eight hundred thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 4.6997793825061806800896 × 10²²

Factors of 46997793825061806800896

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 38
• Sum of prime factors: 151

Divisors of 46997793825061806800896

• Number of divisors d(n): 231
• Complete list of divisors:
  1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 2048 2384 4096 4768 8192 9536 16384 19072 22201 32768 38144 44402 65536 76288 88804 131072 152576 177608 262144 305152 355216 524288 610304 710432 1048576 1220608 1420864 2097152 2441216 2841728 3307949 4194304 4882432 5683456 6615898 8388608 9764864 11366912 13231796 16777216 19529728 22733824 26463592 33554432 39059456 45467648 52927184 67108864 78118912 90935296 105854368 134217728 156237824 181870592 211708736 268435456 312475648 363741184 423417472 492884401 536870912 624951296 727482368 846834944 985768802 1073741824 1249902592 1454964736 1693669888 1971537604 2147483648 2499805184 2909929472 3387339776 3943075208 4294967296 4999610368 5819858944 6774679552 7886150416 9999220736 11639717888 13549359104 15772300832 19998441472 23279435776 27098718208 31544601664 39996882944 46558871552 54197436416 63089203328 73439775749 79993765888 93117743104 108394872832 126178406656 146879551498 159987531776 186235486208 216789745664 252356813312 293759102996 319975063552 372470972416 433579491328 504713626624 587518205992 639950127104 744941944832 867158982656 1009427253248 1175036411984 1489883889664 1734317965312 2018854506496 2350072823968 2979767779328 3468635930624 4037709012992 4700145647936 5959535558656 6937271861248 8075418025984 9400291295872 10942526586601 11919071117312 13874543722496 16150836051968 18800582591744 21885053173202 23838142234624 27749087444992 32301672103936 37601165183488 43770106346404 47676284469248 55498174889984 64603344207872 75202330366976 87540212692808 95352568938496 110996349779968 129206688415744 150404660733952 175080425385616 221992699559936 258413376831488 300809321467904 350160850771232 443985399119872 516826753662976 601618642935808 700321701542464 887970798239744 1033653507325952 1203237285871616 1400643403084928 1775941596479488 2067307014651904 2406474571743232 2801286806169856 3551883192958976 4134614029303808 4812949143486464 5602573612339712 7103766385917952 8269228058607616 9625898286972928 11205147224679424 14207532771835904 16538456117215232 19251796573945856 22410294449358848 33076912234430464 38503593147891712 44820588898717696 66153824468860928 77007186295783424 89641177797435392 132307648937721856 154014372591566848 179282355594870784 264615297875443712 308028745183133696 358564711189741568 529230595750887424 616057490366267392 717129422379483136 1058461191501774848 1232114980732534784 1434258844758966272 2116922383003549696 2464229961465069568 2868517689517932544 4928459922930139136 5737035379035865088 9856919845860278272 11474070758071730176 19713839691720556544 22948141516143460352 39427679383441113088 45896283032286920704 78855358766882226176 91792566064573841408 157710717533764452352 183585132129147682816 315421435067528904704 367170264258295365632 734340528516590731264 1468681057033181462528 2937362114066362925056 5874724228132725850112 11749448456265451700224 23498896912530903400448 46997793825061806800896
• Sum of all divisors σ(n): 94630692961067387671141
• Sum of proper divisors (its aliquot sum) s(n): 47632899136005580870245
• 46997793825061806800896 is an abundant number, because the sum of its proper divisors (47632899136005580870245) is greater than itself. Its abundance is 635105310943774069349

Bases of 46997793825061806800896

• Binary: 1001111100111100000101101000111111101110100100000000000000000000000000000000₂
• Hexadecimal: 0x9F3C168FEE900000000
• Base-36: 7NIJ7CUZ4S285J4

Squares and roots of 46997793825061806800896

• 46997793825061806800896 squared (46997793825061806800896²) is 2208792624423017697195989886615036997786402816
• 46997793825061806800896 cubed (46997793825061806800896³) is 103808380364950163723101680069608712931123986141889268991584565723136
• 46997793825061806800896 is a perfect square number. Its square root is 216789745664
• The cube root of 46997793825061806800896 is 36087696.1328599005
• Being both a perfect square and a perfect cube, 46997793825061806800896 is also a perfect sixth number.

Scales and comparisons

• 46,997,793,825,061,806,800,896 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 46,997,793,825,061,806,800,896 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 46997793825061806800896 cubic inches would be around 3007308 feet tall.

Recreational maths with 46997793825061806800896

• 46997793825061806800896 backwards is 69800860816052839779964
• The number of decimal digits it has is: 23
• The sum of 46997793825061806800896's digits is 121
• More coming soon!