46812506849137152

Names of 46812506849137152

• Cardinal: 46812506849137152 can be written as Forty-six quadrillion, eight hundred twelve trillion, five hundred six billion, eight hundred forty-nine million, one hundred thirty-seven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.6812506849137152 × 10¹⁶

Factors of 46812506849137152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 455

Divisors of 46812506849137152

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 289 306 384 408 433 512 544 576 578 612 768 816 866 867 1088 1152 1156 1224 1299 1536 1632 1732 1734 2176 2304 2312 2448 2598 2601 3264 3464 3468 3897 4352 4608 4624 4896 5196 5202 6528 6928 6936 7361 7794 8704 9248 9792 10392 10404 13056 13856 13872 14722 15588 18496 19584 20784 20808 22083 26112 27712 27744 29444 31176 36992 39168 41568 41616 44166 55424 55488 58888 62352 66249 73984 78336 83136 83232 88332 110848 110976 117776 124704 125137 132498 147968 166272 166464 176664 187489 221696 221952 235552 249408 250274 264996 332544 332928 353328 374978 375411 443904 471104 498816 500548 529992 562467 665088 665856 706656 749956 750822 942208 997632 1001096 1059984 1124934 1126233 1331712 1413312 1499912 1501644 1687401 1884416 1995264 2002192 2119968 2249868 2252466 2826624 2999824 3003288 3187313 3374802 3768832 4004384 4239936 4499736 4504932 5653248 5999648 6006576 6374626 6749604 8008768 8479872 8999472 9009864 9561939 11306496 11999296 12013152 12749252 13499208 16017536 16959744 17998944 18019728 19123878 23998592 24026304 25498504 26998416 28685817 32035072 33919488 35997888 36039456 38247756 47997184 48052608 50997008 53996832 54184321 57371634 64070144 71995776 72078912 76495512 81182737 95994368 96105216 101994016 107993664 108368642 114743268 143991552 144157824 152991024 162365474 162552963 192210432 203988032 215987328 216737284 229486536 243548211 287983104 288315648 305982048 324730948 325105926 407976064 431974656 433474568 458973072 487096422 487658889 576631296 611964096 649461896 650211852 730644633 815952128 863949312 866949136 917946144 974192844 975317778 1223928192 1298923792 1300423704 1380106529 1461289266 1631904256 1733898272 1835892288 1948385688 1950635556 2447856384 2597847584 2600847408 2760213058 2922578532 3467796544 3671784576 3896771376 3901271112 4140319587 4895712768 5195695168 5201694816 5520426116 5845157064 6935593088 7343569152 7793542752 7802542224 8280639174 10391390336 10403389632 11040852232 11690314128 12420958761 13871186176 14687138304 15587085504 15605084448 16561278348 20782780672 20806779264 22081704464 23380628256 23461810993 24841917522 27742372352 31174171008 31210168896 33122556696 35152125121 41565561344 41613558528 44163408928 46761256512 46923621986 49683835044 62348342016 62420337792 66245113392 70304250242 70385432979 83227117056 88326817856 93522513024 93847243972 99367670088 105456375363 124696684032 124840675584 132490226784 140608500484 140770865958 176653635712 187045026048 187694487944 198735340176 210912750726 211156298937 249681351168 264980453568 281217000968 281541731916 316369126089 353307271424 374090052096 375388975888 397470680352 421825501452 422312597874 529960907136 562434001936 563083463832 597586127057 632738252178 706614542848 750777951776 794941360704 843651002904 844625195748 1059921814272 1124868003872 1126166927664 1195172254114 1265476504356 1501555903552 1589882721408 1687302005808 1689250391496 1792758381171 2119843628544 2249736007744 2252333855328 2390344508228 2530953008712 3003111807104 3179765442816 3374604011616 3378500782992 3585516762342 4499472015488 4504667710656 4780689016456 5061906017424 5378275143513 6006223614208 6359530885632 6749208023232 6757001565984 7171033524684 8998944030976 9009335421312 9561378032912 10123812034848 10158964159969 10756550287026 12012447228416 13498416046464 13514003131968 14342067049368 17997888061952 18018670842624 19122756065824 20247624069696 20317928319938 21513100574052 26996832092928 27028006263936 28684134098736 30476892479907 36037341685248 38245512131648 40495248139392 40635856639876 43026201148104 53993664185856 54056012527872 57368268197472 60953784959814 76491024263296 80990496278784 81271713279752 86052402296208 91430677439721 108112025055744 114736536394944 121907569919628 152982048526592 161980992557568 162543426559504 172104804592416 182861354879442 229473072789888 243815139839256 305964097053184 325086853119008 344209609184832 365722709758884 458946145579776 487630279678512 650173706238016 688419218369664 731445419517768 917892291159552 975260559357024 1300347412476032 1376838436739328 1462890839035536 1950521118714048 2600694824952064 2753676873478656 2925781678071072 3901042237428096 5201389649904128 5851563356142144 7802084474856192 11703126712284288 15604168949712384 23406253424568576 46812506849137152
• Sum of all divisors σ(n): 143851069940196333
• Sum of proper divisors (its aliquot sum) s(n): 97038563091059181
• 46812506849137152 is an abundant number, because the sum of its proper divisors (97038563091059181) is greater than itself. Its abundance is 50226056241922029

Bases of 46812506849137152

• Binary: 10100110010011111011101000011001110010011101001000000000₂
• Hexadecimal: 0xA64FBA19C9D200
• Base-36: CSXNCREV7K0

Squares and roots of 46812506849137152

• 46812506849137152 squared (46812506849137152²) is 2191410797500512766679726906671104
• 46812506849137152 cubed (46812506849137152³) is 102585432967265862344905445134966297695095051255808
• The square root of 46812506849137152 is 216361981.0621476815
• The cube root of 46812506849137152 is 360402.0889263995

Scales and comparisons

• 46,812,506,849,137,152 seconds is equal to 1,488,492,917 years, 11 weeks, 19 minutes, 12 seconds.
• To count from 1 to 46,812,506,849,137,152 would take you about four billion, four hundred sixty-five million, four hundred seventy-eight thousand, seven hundred fifty-one 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 46812506849137152 cubic inches would be around 30033.5 feet tall.

Recreational maths with 46812506849137152

• 46812506849137152 backwards is 25173194860521864
• 46812506849137152 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 46812506849137152's digits is 72
• More coming soon!