420540798296415232

Names of 420540798296415232

• Cardinal: 420540798296415232 can be written as Four hundred twenty quadrillion, five hundred forty trillion, seven hundred ninety-eight billion, two hundred ninety-six million, four hundred fifteen thousand, two hundred thirty-two.

Scientific notation

• Scientific notation: 4.20540798296415232 × 10¹⁷

Factors of 420540798296415232

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1337

Divisors of 420540798296415232

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 4 8 16 32 37 64 74 128 148 211 256 296 422 512 592 844 1024 1087 1184 1688 2174 2368 3376 4348 4736 6752 7807 8696 9472 13504 15614 17392 18944 27008 31228 34784 37888 40219 44521 54016 62456 69568 80438 89042 108032 124912 139136 160876 178084 216064 229357 249824 278272 321752 356168 458714 499648 556544 643504 712336 917428 999296 1113088 1181569 1287008 1424672 1647277 1834856 1998592 2363138 2574016 2849344 3294554 3669712 3997184 4726276 5148032 5698688 6589108 7339424 7994368 8486209 9393931 9452552 10296064 11397376 13178216 14678848 16972418 18787862 18905104 20592128 22794752 26356432 29357696 33944836 37575724 37810208 41184256 43718053 45589504 48394327 52712864 58715392 67889672 75151448 75620416 87436106 96788654 105425728 117430784 135779344 150302896 151240832 174872212 193577308 210851456 234861568 249311059 271558688 300605792 302481664 347575447 349744424 387154616 421702912 498622118 543117376 601211584 604963328 695150894 699488848 774309232 843405824 997244236 1086234752 1202423168 1209926656 1390301788 1398977696 1548618464 1686811648 1790590099 1994488472 2172469504 2404846336 2780603576 2797955392 3097236928 3581180198 3988976944 4344939008 4809692672 5561207152 5595910784 6194473856 7162360396 7977953888 8689878016 9224509183 9619385344 10211202997 11122414304 11191821568 12388947712 14324720792 15955907776 18449018366 20422405994 22244828608 22383643136 24777895424 28649441584 31911815552 36898036732 40844811988 44489657216 44767286272 49555790848 52604633449 57298883168 63823631104 73796073464 81689623976 88979314432 105209266898 114597766336 127647262208 147592146928 163379247952 177958628864 210418533796 229195532672 255294524416 295184293856 326758495904 355917257728 377814510889 420837067592 458391065344 590368587712 653516991808 755629021778 841674135184 916782130688 1180737175424 1307033983616 1511258043556 1683348270368 1833564261376 1946371437613 2361474350848 2614067967232 3022516087112 3366696540736 3892742875226 4722948701696 5228135934464 6045032174224 6733393081472 7785485750452 9445897403392 10456271868928 11099577657739 12090064348448 13466786162944 15570971500904 22199155315478 24180128696896 26933572325888 31141943001808 44398310630956 48360257393792 53867144651776 62283886003616 88796621261912 96720514787584 124567772007232 177593242523824 193441029575168 249135544014464 355186485047648 386882059150336 410684373336343 498271088028928 710372970095296 821368746672686 996542176057856 1420745940190592 1642737493345372 1993084352115712 2841491880381184 3285474986690744 5682983760762368 6570949973381488 11365967521524736 13141899946762976 26283799893525952 52567599787051904 105135199574103808 210270399148207616 420540798296415232
• Sum of all divisors σ(n): 868301941680590928
• Sum of proper divisors (its aliquot sum) s(n): 447761143384175696
• 420540798296415232 is an abundant number, because the sum of its proper divisors (447761143384175696) is greater than itself. Its abundance is 27220345087760464

Bases of 420540798296415232

• Binary: 10111010110000011111010000011000000000001000101110000000000₂
• Hexadecimal: 0x5D60FA0C0045C00
• Base-36: 370T9RO01GXS

Squares and roots of 420540798296415232

• 420540798296415232 squared (420540798296415232²) is 176854563031786200497132261761613824
• 420540798296415232 cubed (420540798296415232³) is 74374559119751054453777528067529938017545042335367168
• The square root of 420540798296415232 is 648491170.5616470705
• The cube root of 420540798296415232 is 749208.5270079103

Scales and comparisons

• 420,540,798,296,415,232 seconds is equal to 13,371,896,567 years, 37 weeks, 5 days, 22 hours, 53 minutes, 52 seconds.
• To count from 1 to 420,540,798,296,415,232 would take you about forty billion, one hundred fifteen million, six hundred eighty-nine thousand, seven hundred three 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 420540798296415232 cubic inches would be around 62434 feet tall.

Recreational maths with 420540798296415232

• 420540798296415232 backwards is 232514692897045024
• The number of decimal digits it has is: 18
• The sum of 420540798296415232's digits is 73
• More coming soon!