514438420816320832000
514,438,420,816,320,832,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 514438420816320832000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2560 divisors.
514438420816320832000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 514438420816320832000:
29 × 53 × 133 × 193 × 8113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 19 × 811 × 811 × 811)See below for interesting mathematical facts about the number 514438420816320832000 from the Numbermatics database.
Names of 514438420816320832000
- Cardinal: 514438420816320832000 can be written as Five hundred fourteen quintillion, four hundred thirty-eight quadrillion, four hundred twenty trillion, eight hundred sixteen billion, three hundred twenty million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 5.14438420816320832 × 1020
Factors of 514438420816320832000
Divisors of 514438420816320832000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 128 130 152 160 169 190 200 208 247 250 256 260 304 320 325 338 361 380 400 416 475 494 500 512 520 608 640 650 676 722 760 800 811 832 845 950 988 1000 1040 1216 1235 1280 1300 1352 1444 1520 1600 1622 1625 1664 1690 1805 1900 1976 2000 2080 2197 2375 2432 2470 2560 2600 2704 2888 3040 3200 3211 3244 3250 3328 3380 3610 3800 3952 4000 4055 4160 4225 4394 4693 4750 4864 4940 5200 5408 5776 6080 6175 6400 6422 6488 6500 6656 6760 6859 7220 7600 7904 8000 8110 8320 8450 8788 9025 9386 9500 9728 9880 10400 10543 10816 10985 11552 12160 12350 12800 12844 12976 13000 13520 13718 14440 15200 15409 15808 16000 16055 16220 16640 16900 17576 18050 18772 19000 19760 20275 20800 21086 21125 21632 21970 23104 23465 24320 24700 25688 25952 26000 27040 27436 28880 30400 30818 30875 31616 32000 32110 32440 33280 33800 34295 35152 36100 37544 38000 39520 40550 41600 41743 42172 42250 43264 43940 45125 46208 46930 48640 49400 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5074608343440896 5206866607452640 5480912218371200 5566551471783250 5700148707106048 5769381282496000 5853873700686400 5945340477259625 6088028648713856 6099288874328000 6161972316512000 6183154096350010 6343260429301120 6408451209172480 6508583259315800 6677116241369600 6768926589688432 6851140272964000 7125185883882560 7317342125858000 7500195667244800 7610035810892320 7929075536626400 8010564011465600 8038100325255013 8135729074144750 8330986571924224 8346395301712000 8432172643648000 8461158237110540 8906482354853200 9366197921098240 9375244584056000 9512544763615400 9758862198924800 9893046554160016 9911344420783000 10013205014332000 10413733214905280 10576447796388175 10961824436742400 11133102943566500 11400297414212096 11707747401372800 11890680954519250 12176057297427712 12198577748656000 12323944633024000 12366308192700020 12686520858602240 13017166518631600 13537853179376864 13702280545928000 14250371767765120 14634684251716000 15000391334489600 15220071621784640 15457885240875025 15858151073252800 16021128022931200 16076200650510026 16271458148289500 16661973143848448 16692790603424000 16922316474221080 17812964709706400 18750489168112000 19025089527230800 19786093108320032 19822688841566000 20026410028664000 20827466429810560 21152895592776350 21923648873484800 22266205887133000 23415494802745600 23781361909038500 24352114594855424 24397155497312000 24732616385400040 25373041717204480 26034333037263200 27075706358753728 27404561091856000 28500743535530240 29269368503432000 30440143243569280 30915770481750050 31716302146505600 32042256045862400 32152401301020052 32542916296579000 33385581206848000 33844632948442160 35625929419412800 37500978336224000 38050179054461600 39572186216640064 39645377683132000 40052820057328000 40190501626275065 41654932859621120 42305791185552700 44532411774266000 46830989605491200 47562723818077000 48794310994624000 49465232770800080 52068666074526400 52882238981940875 54151412717507456 54809122183712000 57001487071060480 58538737006864000 60880286487138560 61831540963500100 63432604293011200 64304802602040104 65085832593158000 67689265896884320 71251858838825600 75001956672448000 76100358108923200 77289426204375125 79144372433280128 79290755366264000 80105640114656000 80381003252550130 83309865719242240 84611582371105400 89064823548532000 95125447636154000 98930465541600160 104137332149052800 105764477963881750 108302825435014912 109618244367424000 117077474013728000 121760572974277120 123663081927000200 126865208586022400 128609605204080208 130171665186316000 135378531793768640 142503717677651200 152200716217846400 154578852408750250 158288744866560256 158581510732528000 160211280229312000 160762006505100260 169223164742210800 178129647097064000 190250895272308000 197860931083200320 200952508131375325 208274664298105600 211528955927763500 216605650870029824 234154948027456000 247326163854000400 257219210408160416 260343330372632000 270757063587537280 285007435355302400 304401432435692800 309157704817500500 316577489733120512 317163021465056000 321524013010200520 338446329484421600 356259294194128000 380501790544616000 395721862166400640 401905016262750650 416549328596211200 423057911855527000 494652327708000800 514438420816320832 520686660745264000 541514127175074560 608802864871385600 618315409635001000 634326042930112000 643048026020401040 676892658968843200 712518588388256000 761003581089232000 791443724332801280 803810032525501300 846115823711054000 989304655416001600 1004762540656876625 1028876841632641664 1041373321490528000 1083028254350149120 1236630819270002000 1286096052040802080 1353785317937686400 1425037176776512000 1522007162178464000 1582887448665602560 1607620065051002600 1692231647422108000 1978609310832003200 2009525081313753250 2057753683265283328 2082746642981056000 2473261638540004000 2572192104081604160 2707570635875372800 3044014324356928000 3215240130102005200 3384463294844216000 3957218621664006400 4019050162627506500 4115507366530566656 4946523277080008000 5144384208163208320 5415141271750745600 6430480260204010400 6768926589688432000 7914437243328012800 8038100325255013000 9893046554160016000 10288768416326416640 12860960520408020800 13537853179376864000 16076200650510026000 19786093108320032000 20577536832652833280 25721921040816041600 27075706358753728000 32152401301020052000 39572186216640064000 51443842081632083200 64304802602040104000 102887684163264166400 128609605204080208000 257219210408160416000 514438420816320832000
- Sum of all divisors σ(n): 1468635944614276838400
- Sum of proper divisors (its aliquot sum) s(n): 954197523797956006400
- 514438420816320832000 is an abundant number, because the sum of its proper divisors (954197523797956006400) is greater than itself. Its abundance is 439759102981635174400
Bases of 514438420816320832000
- Binary: 1101111100011010001000110101000011110111100011011100010100010000000002
- Hexadecimal: 0x1BE3446A1EF1B8A200
- Base-36: 30KGMOKXEUT4HS
Squares and roots of 514438420816320832000
- 514438420816320832000 squared (5144384208163208320002) is 264646888811989998720710580757172224000000
- 514438420816320832000 cubed (5144384208163208320003) is 136144527554392580458899539773371479497344099862970368000000000
-
The
square root of 514438420816320832000 is 22681234993.1903141949 -
514438420816320832000 is a
perfect cube number . Itscube root is 8012680
Scales and comparisons
How big is 514438420816320832000?- 514,438,420,816,320,832,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 514,438,420,816,320,832,000 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 514438420816320832000 cubic inches would be around 667723.3 feet tall.
Recreational maths with 514438420816320832000
- 514438420816320832000 backwards is 000238023618024834415
- 514438420816320832000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 514438420816320832000's digits is 64
- More coming soon!
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"Number 514438420816320832000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 514438420816320832000 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/514438420816320832000/
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Numbermatics. 2024. "Number 514438420816320832000 - Facts about the integer". https://numbermatics.com/n/514438420816320832000/
The information we have on file for 514438420816320832000 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!
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