12972938768633165915586816

Names of 12972938768633165915586816

• Cardinal: 12972938768633165915586816 can be written as Twelve septillion, nine hundred seventy-two sextillion, nine hundred thirty-eight quintillion, seven hundred sixty-eight quadrillion, six hundred thirty-three trillion, one hundred sixty-five billion, nine hundred fifteen million, five hundred eighty-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.2972938768633165915586816 × 10²⁵

Factors of 12972938768633165915586816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1711999

Divisors of 12972938768633165915586816

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 14737 20736 29474 44211 58948 88422 117896 132633 176844 235792 265266 353688 397899 471584 530532 707376 795798 943168 1061064 1193697 1414752 1591596 1697257 1886336 2122128 2387394 2829504 3183192 3394514 3772672 4244256 4774788 5091771 5659008 6366384 6789028 8488512 9549576 10183542 11318016 12732768 13578056 15275313 16977024 19099152 20367084 25465536 27156112 30550626 33954048 38198304 40734168 45825939 50931072 54312224 61101252 76396608 81468336 91651878 101862144 108624448 122202504 137477817 152793216 162936672 183303756 217248896 244405008 274955634 305586432 325873344 366607512 434497792 488810016 549911268 651746688 733215024 977620032 1099822536 1303493376 1466430048 1955240064 2199645072 2932860096 3910480128 4399290144 5865720192 8798580288 11731440384 17597160576 25012476409 35194321152 50024952818 75037429227 100049905636 150074858454 200099811272 225112287681 300149716908 400199622544 450224575362 600299433816 675336863043 800399245088 900449150724 1200598867632 1350673726086 1600798490176 1800898301448 2026010589129 2401197735264 2701347452172 2880681324049 3201596980352 3601796602896 4052021178258 4802395470528 5402694904344 5761362648098 6403193960704 7203593205792 8104042356516 8642043972147 9604790941056 10805389808688 11522725296196 14407186411584 16208084713032 17284087944294 19209581882112 21610779617376 23045450592392 25926131916441 28814372823168 32416169426064 34568175888588 43221559234752 46090901184784 51852263832882 57628745646336 64832338852128 69136351777176 77778395749323 86443118469504 92181802369568 103704527665764 129664677704256 138272703554352 155556791498646 172886236939008 184363604739136 207409055331528 233335187247969 259329355408512 276545407108704 311113582997292 368727209478272 414818110663056 466670374495938 518658710817024 553090814217408 622227165994584 737454418956544 829636221326112 933340748991876 1106181628434816 1244454331989168 1659272442652224 1866681497983752 2212363256869632 2488908663978336 3318544885304448 3733362995967504 4977817327956672 6637089770608896 7466725991935008 9955634655913344 14933451983870016 19911269311826688 29866903967740032 42452600672510113 59733807935480064 84905201345020226 127357802017530339 169810402690040452 254715604035060678 339620805380080904 382073406052591017 509431208070121356 679241610760161808 764146812105182034 1018862416140242712 1146220218157773051 1358483221520323616 1528293624210364068 2037724832280485424 2292440436315546102 2716966443040647232 3056587248420728136 3438660654473319153 4075449664560970848 4584880872631092204 5433932886081294464 6113174496841456272 6877321308946638306 8150899329121941696 9169761745262184408 10867865772162588928 12226348993682912544 13754642617893276612 16301798658243883392 18339523490524368816 24452697987365825088 27509285235786553224 32603597316487766784 36679046981048737632 48905395974731650176 55018570471573106448 73358093962097475264 97810791949463300352 110037140943146212896 146716187924194950528 220074281886292425792 293432375848389901056 440148563772584851584 880297127545169703168
• Sum of all divisors σ(n): 12974683537919861949161994
• Sum of proper divisors (its aliquot sum) s(n): 1744769286696033575178
• 12972938768633165915586816 is a deficient number, because the sum of its proper divisors (1744769286696033575178) is less than itself. Its deficiency is 12971193999346469882011638

Bases of 12972938768633165915586816

• Binary: 101010111011001000000110101101111001100100000111101011101000111000111000000100000000₂
• Hexadecimal: 0xABB206B79907AE8E38100
• Base-36: 1MOJ5UWCQE9QP7400

Squares and roots of 12972938768633165915586816

• 12972938768633165915586816 squared (12972938768633165915586816²) is 168297140294705403130185740588826267004497633017856
• 12972938768633165915586816 cubed (12972938768633165915586816³) is 2183308495979278682331995116033121191242486471414890666265004288595246186496
• 12972938768633165915586816 is a perfect square number. Its square root is 3601796602896
• The cube root of 12972938768633165915586816 is 234970201.5551940233

Scales and comparisons

• 12,972,938,768,633,165,915,586,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 12,972,938,768,633,165,915,586,816 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 12972938768633165915586816 cubic inches would be around 19580850.1 feet tall.

Recreational maths with 12972938768633165915586816

• 12972938768633165915586816 backwards is 61868551956133686783927921
• The number of decimal digits it has is: 26
• The sum of 12972938768633165915586816's digits is 135
• More coming soon!