164112431611075418402400
164,112,431,611,075,418,402,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164112431611075418402400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
164112431611075418402400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 164112431611075418402400:
25 × 3 × 52 × 7 × 127 × 3688063 × 20855958143
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 127 × 3688063 × 20855958143)See below for interesting mathematical facts about the number 164112431611075418402400 from the Numbermatics database.
Names of 164112431611075418402400
- Cardinal: 164112431611075418402400 can be written as One hundred sixty-four sextillion, one hundred twelve quintillion, four hundred thirty-one quadrillion, six hundred eleven trillion, seventy-five billion, four hundred eighteen million, four hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.641124316110754184024 × 1023
Factors of 164112431611075418402400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 20859646350
Divisors of 164112431611075418402400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 127 140 150 160 168 175 200 210 224 240 254 280 300 336 350 381 400 420 480 508 525 560 600 635 672 700 762 800 840 889 1016 1050 1120 1200 1270 1400 1524 1680 1778 1905 2032 2100 2400 2540 2667 2800 3048 3175 3360 3556 3810 4064 4200 4445 5080 5334 5600 6096 6350 7112 7620 8400 8890 9525 10160 10668 12192 12700 13335 14224 15240 16800 17780 19050 20320 21336 22225 25400 26670 28448 30480 35560 38100 42672 44450 50800 53340 60960 66675 71120 76200 85344 88900 101600 106680 133350 142240 152400 177800 213360 266700 304800 355600 426720 533400 711200 1066800 2133600 3688063 7376126 11064189 14752252 18440315 22128378 25816441 29504504 36880630 44256756 51632882 55320945 59009008 73761260 77449323 88513512 92201575 103265764 110641890 118018016 129082205 147522520 154898646 177027024 184403150 206531528 221283780 258164410 276604725 295045040 309797292 354054048 368806300 387246615 413063056 442567560 468384001 516328820 553209450 590090080 619594584 645411025 737612600 774493230 826126112 885135120 936768002 1032657640 1106418900 1239189168 1290822050 1405152003 1475225200 1548986460 1770270240 1873536004 1936233075 2065315280 2212837800 2341920005 2478378336 2581644100 2810304006 2950450400 3097972920 3278688007 3747072008 3872466150 4130630560 4425675600 4683840010 5163288200 5620608012 6195945840 6557376014 7025760015 7494144016 7744932300 8851351200 9367680020 9836064021 10326576400 11241216024 11709600025 12391891680 13114752028 14051520030 14988288032 15489864600 16393440035 18735360040 19672128042 20653152800 20855958143 22482432048 23419200050 26229504056 28103040060 30979729200 32786880070 35128800075 37470720080 39344256084 41711916286 44964864096 46838400100 49180320105 52459008112 56206080120 61959458400 62567874429 65573760140 70257600150 74941440160 78688512168 81967200175 83423832572 93676800200 98360640210 104279790715 104918016224 112412160240 125135748858 131147520280 140515200300 145991707001 157377024336 163934400350 166847665144 187353600400 196721280420 208559581430 224824320480 245901600525 250271497716 262295040560 281030400600 291983414002 312839372145 314754048672 327868800700 333695330288 374707200800 393442560840 417119162860 437975121003 491803201050 500542995432 521398953575 524590081120 562060801200 583966828004 625678744290 655737601400 667390660576 729958535005 786885121680 834238325720 875950242006 983606402100 1001085990864 1042797907150 1124121602400 1167933656008 1251357488580 1311475202800 1459917070010 1564196860725 1573770243360 1668476651440 1751900484012 1967212804200 2002171981728 2085595814300 2189875605015 2335867312016 2502714977160 2622950405600 2648706684161 2919834140020 3128393721450 3336953302880 3503800968024 3649792675025 3934425608400 4171191628600 4379751210030 4671734624032 5005429954320 5297413368322 5839668280040 6256787442900 7007601936048 7299585350050 7868851216800 7946120052483 8342383257200 8759502420060 10010859908640 10594826736644 10949378025075 11679336560080 12513574885800 13243533420805 14015203872096 14599170700100 15892240104966 16684766514400 17519004840120 18540946789127 21189653473288 21898756050150 23358673120160 25027149771600 26487066841610 29198341400200 31784480209932 35038009680240 37081893578254 39730600262415 42379306946576 43797512100300 50054299543200 52974133683220 55622840367381 58396682800400 63568960419864 66217667104025 70076019360480 74163787156508 79461200524830 84758613893152 87595024200600 92704733945635 105948267366440 111245680734762 116793365600800 127137920839728 132435334208050 148327574313016 158922401049660 175190048401200 185409467891270 198653001312075 211896534732880 222491361469524 254275841679456 264870668416100 278114201836905 296655148626032 317844802099320 350380096802400 370818935782540 397306002624150 423793069465760 444982722939048 463523669728175 529741336832200 556228403673810 593310297252064 635689604198640 741637871565080 794612005248300 889965445878096 927047339456350 1059482673664400 1112456807347620 1271379208397280 1390571009184525 1483275743130160 1589224010496600 1779930891756192 1854094678912700 2118965347328800 2224913614695240 2781142018369050 2966551486260320 3178448020993200 3708189357825400 4449827229390480 5562284036738100 6356896041986400 7416378715650800 8899654458780960 11124568073476200 14832757431301600 22249136146952400 44498272293904800 76918087556747009 153836175113494018 230754262670241027 307672350226988036 384590437783735045 461508525340482054 538426612897229063 615344700453976072 769180875567470090 923017050680964108 1076853225794458126 1153771313351205135 1230689400907952144 1538361751134940180 1615279838691687189 1846034101361928216 1922952188918675225 2153706451588916252 2307542626702410270 2461378801815904288 2692133064486145315 3076723502269880360 3230559677383374378 3692068202723856432 3845904377837350450 4307412903177832504 4615085253404820540 5384266128972290630 5768856566756025675 6153447004539760720 6461119354766748756 7384136405447712864 7691808755674700900 8076399193458435945 8614825806355665008 9230170506809641080 9768597119706870143 10768532257944581260 11537713133512051350 12306894009079521440 12922238709533497512 13460665322430726575 15383617511349401800 16152798386916871890 17229651612711330016 18460341013619282160 19537194239413740286 21537064515889162520 23075426267024102700 25844477419066995024 26921330644861453150 29305791359120610429 30767235022698803600 32305596773833743780 36920682027238564320 39074388478827480572 40381995967292179725 43074129031778325040 46150852534048205400 48842985598534350715 51688954838133990048 53842661289722906300 58611582718241220858 61534470045397607200 64611193547667487560 68380179837948091001 78148776957654961144 80763991934584359450 86148258063556650080 92301705068096410800 97685971197068701430 107685322579445812600 117223165436482441716 129222387095334975120 136760359675896182002 146528956795603052145 156297553915309922288 161527983869168718900 184603410136192821600 195371942394137402860 205140539513844273003 215370645158891625200 234446330872964883432 244214927992671753575 258444774190669950240 273520719351792364004 293057913591206104290 312595107830619844576 323055967738337437800 341900899189740455005 390743884788274805720 410281079027688546006 430741290317783250400 468892661745929766864 488429855985343507150 547041438703584728008 586115827182412208580 646111935476674875600 683801798379480910010 732644783978015260725 781487769576549611440 820562158055377092012 937785323491859533728 976859711970687014300 1025702697569221365015 1094082877407169456016 1172231654364824417160 1292223870953349751200 1367603596758961820020 1465289567956030521450 1562975539153099222880 1641124316110754184024 1709504495948702275025 1953719423941374028600 2051405395138442730030 2188165754814338912032 2344463308729648834320 2735207193517923640040 2930579135912061042900 3282248632221508368048 3419008991897404550050 3907438847882748057200 4102810790276885460060 4688926617459297668640 5128513487846106825075 5470414387035847280080 5861158271824122085800 6564497264443016736096 6838017983794809100100 7814877695765496114400 8205621580553770920120 10257026975692213650150 10940828774071694560160 11722316543648244171600 13676035967589618200200 16411243161107541840240 20514053951384427300300 23444633087296488343200 27352071935179236400400 32822486322215083680480 41028107902768854600600 54704143870358472800800 82056215805537709201200 164112431611075418402400
- Sum of all divisors σ(n): 615305485259636534673408
- Sum of proper divisors (its aliquot sum) s(n): 451193053648561116271008
- 164112431611075418402400 is an abundant number, because the sum of its proper divisors (451193053648561116271008) is greater than itself. Its abundance is 287080622037485697868608
Bases of 164112431611075418402400
- Binary: 1000101100000010001101100000001010010101011000010110011011000000101110011000002
- Hexadecimal: 0x22C08D80A55859B02E60
- Base-36: QQ2PBFJTEZUGJ1C
Squares and roots of 164112431611075418402400
- 164112431611075418402400 squared (1641124316110754184024002) is 26932890209299906250133167444468220568325760000
- 164112431611075418402400 cubed (1641124316110754184024003) is 4420022102562333576215290902424957306558138324682433308861965824000000
-
The
square root of 164112431611075418402400 is 405107925880.3453951529 -
The
cube root of 164112431611075418402400 is 54749542.3728087787
Scales and comparisons
How big is 164112431611075418402400?- 164,112,431,611,075,418,402,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 164,112,431,611,075,418,402,400 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 164112431611075418402400 cubic inches would be around 4562461.9 feet tall.
Recreational maths with 164112431611075418402400
- 164112431611075418402400 backwards is 004204814570116134211461
- The number of decimal digits it has is: 24
- The sum of 164112431611075418402400's digits is 66
- More coming soon!
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The information we have on file for 164112431611075418402400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 164112431611075418402400, math, Factors of 164112431611075418402400, curriculum, school, college, exams, university, Prime factorization of 164112431611075418402400, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four sextillion, one hundred twelve quintillion, four hundred thirty-one quadrillion, six hundred eleven trillion, seventy-five billion, four hundred eighteen million, four hundred two thousand, four hundred.