46968457980010713952
46,968,457,980,010,713,952 is an even composite number composed of six prime numbers multiplied together.
What does the number 46968457980010713952 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
46968457980010713952 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 46968457980010713952:
25 × 132 × 19 × 193 × 383 × 6183864079
(2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 193 × 383 × 6183864079)See below for interesting mathematical facts about the number 46968457980010713952 from the Numbermatics database.
Names of 46968457980010713952
- Cardinal: 46968457980010713952 can be written as Forty-six quintillion, nine hundred sixty-eight quadrillion, four hundred fifty-seven trillion, nine hundred eighty billion, ten million, seven hundred thirteen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 4.6968457980010713952 × 1019
Factors of 46968457980010713952
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 6183864689
Divisors of 46968457980010713952
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 52 76 104 152 169 193 208 247 304 338 383 386 416 494 608 676 766 772 988 1352 1532 1544 1976 2509 2704 3064 3088 3211 3667 3952 4979 5018 5408 6128 6176 6422 7277 7334 7904 9958 10036 12256 12844 14554 14668 19916 20072 25688 29108 29336 32617 39832 40144 47671 51376 58216 58672 64727 65234 73919 79664 80288 94601 95342 102752 116432 117344 129454 130468 147838 159328 189202 190684 232864 258908 260936 295676 378404 381368 517816 521872 591352 619723 756808 762736 960947 1035632 1043744 1182704 1229813 1239446 1404461 1513616 1525472 1921894 2071264 2365408 2459626 2478892 2808922 3027232 3843788 4919252 4957784 5617844 7687576 9838504 9915568 11235688 12492311 15375152 18257993 19677008 19831136 22471376 24984622 30750304 36515986 39354016 44942752 49969244 73031972 99938488 146063944 199876976 237353909 292127888 399753952 474707818 584255776 949415636 1898831272 3797662544 6183864079 7595325088 12367728158 24735456316 49470912632 80390233027 98941825264 117493417501 160780466054 197883650528 234986835002 321560932108 469973670004 643121864216 939947340008 1045073029351 1193485767247 1286243728432 1527414427513 1879894680016 2090146058702 2368419942257 2386971534494 2572487456864 3054828855026 3759789360032 4180292117404 4736839884514 4773943068988 6109657710052 8360584234808 9473679769028 9547886137976 12219315420104 15515314974211 16721168469616 18947359538056 19095772275952 19856387557669 22676229577693 24438630840208 30789459249341 31030629948422 33442336939232 37894719076112 38191544551904 39712775115338 44999978902883 45352459155386 48877261680416 61578918498682 62061259896844 75789438152224 79425550230676 89999957805766 90704918310772 123157836997364 124122519793688 158851100461352 179999915611532 181409836621544 201699094664743 246315673994728 248245039587376 294790984510009 317702200922704 359999831223064 362819673243088 400262970241433 403398189329486 457105048855601 492631347989456 496490079174752 584999725737479 589581969020018 635404401845408 719999662446128 725639346486176 800525940482866 806796378658972 914210097711202 985262695978912 1169999451474958 1179163938040036 1439999324892256 1601051880965732 1613592757317944 1828420195422404 2339998902949916 2358327876080072 3202103761931464 3227185514635888 3656840390844808 3832282798630117 4679997805899832 4716655752160144 5942365635122813 6404207523862928 6454371029271776 7313680781689616 7604996434587227 7664565597260234 8684995928256419 9359995611799664 9433311504320288 11884731270245626 12808415047725856 14627361563379232 15209992869174454 15329131194520468 17369991856512838 18719991223599328 23769462540491252 30419985738348908 30658262389040936 34739983713025676 47538925080982504 60839971476697816 61316524778081872 69479967426051352 77250753256596569 95077850161965008 112904947067333447 121679942953395632 122633049556163744 138959934852102704 154501506513193138 190155700323930016 225809894134666894 243359885906791264 277919869704205408 309003013026386276 451619788269333788 618006026052772552 903239576538667576 1236012052105545104 1467764311875334811 1806479153077335152 2472024104211090208 2935528623750669622 3612958306154670304 5871057247501339244 11742114495002678488 23484228990005356976 46968457980010713952
- Sum of all divisors σ(n): 106222012276178534400
- Sum of proper divisors (its aliquot sum) s(n): 59253554296167820448
- 46968457980010713952 is an abundant number, because the sum of its proper divisors (59253554296167820448) is greater than itself. Its abundance is 12285096316157106496
Bases of 46968457980010713952
- Binary: 1010001011110100010111101110101110111010100110011001010011011000002
- Hexadecimal: 0x28BD17BAEEA665360
- Base-36: 9WUE8SPYA6LB4
Squares and roots of 46968457980010713952
- 46968457980010713952 squared (469684579800107139522) is 2206036045020032116008623588708767458304
- 46968457980010713952 cubed (469684579800107139523) is 103614111282912402063298136807033921647658319542447431057408
-
The
square root of 46968457980010713952 is 6853353776.0727567705 -
The
cube root of 46968457980010713952 is 3608018.5968918153
Scales and comparisons
How big is 46968457980010713952?- 46,968,457,980,010,713,952 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 46,968,457,980,010,713,952 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 46968457980010713952 cubic inches would be around 300668.2 feet tall.
Recreational maths with 46968457980010713952
- 46968457980010713952 backwards is 25931701008975486964
- The number of decimal digits it has is: 20
- The sum of 46968457980010713952's digits is 94
- More coming soon!
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