523138557030406128
523,138,557,030,406,128 is an even composite number composed of six prime numbers multiplied together.
523138557030406128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 523138557030406128:
24 × 34 × 7 × 31 × 61 × 30494545139
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 31 × 61 × 30494545139)See below for interesting mathematical facts about the number 523138557030406128 from the Numbermatics database.
Names of 523138557030406128
- Cardinal: 523138557030406128 can be written as Five hundred twenty-three quadrillion, one hundred thirty-eight trillion, five hundred fifty-seven billion, thirty million, four hundred six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 5.23138557030406128 × 1017
Factors of 523138557030406128
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 30494545243
Divisors of 523138557030406128
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 61 62 63 72 81 84 93 108 112 122 124 126 144 162 168 183 186 189 216 217 244 248 252 279 324 336 366 372 378 427 432 434 488 496 504 549 558 567 648 651 732 744 756 837 854 868 976 1008 1098 1116 1134 1281 1296 1302 1464 1488 1512 1647 1674 1708 1736 1891 1953 2196 2232 2268 2511 2562 2604 2928 3024 3294 3348 3416 3472 3782 3843 3906 4392 4464 4536 4941 5022 5124 5208 5673 5859 6588 6696 6832 7564 7686 7812 8784 9072 9882 10044 10248 10416 11346 11529 11718 13176 13237 13392 15128 15372 15624 17019 17577 19764 20088 20496 22692 23058 23436 26352 26474 30256 30744 31248 34038 34587 35154 39528 39711 40176 45384 46116 46872 51057 52948 61488 68076 69174 70308 79056 79422 90768 92232 93744 102114 105896 119133 136152 138348 140616 153171 158844 184464 204228 211792 238266 272304 276696 281232 306342 317688 357399 408456 476532 553392 612684 635376 714798 816912 953064 1072197 1225368 1429596 1906128 2144394 2450736 2859192 4288788 5718384 8577576 17155152 30494545139 60989090278 91483635417 121978180556 182967270834 213461815973 243956361112 274450906251 365934541668 426923631946 487912722224 548901812502 640385447919 731869083336 823352718753 853847263892 945330899309 1097803625004 1280770895838 1463738166672 1646705437506 1707694527784 1860167253479 1890661798618 1921156343757 2195607250008 2470058156259 2561541791676 2835992697927 3293410875012 3415389055568 3720334506958 3781323597236 3842312687514 4391214500016 4940116312518 5123083583352 5580501760437 5671985395854 5763469031271 6586821750024 6617316295163 7440669013916 7562647194472 7684625375028 8507978093781 9880232625036 10246167166704 11161003520874 11343970791708 11526938062542 13021170774353 13173643500048 13234632590326 14881338027832 15125294388944 15369250750056 16741505281311 17015956187562 17290407093813 19760465250072 19851948885489 22322007041748 22687941583416 23053876125084 25523934281343 26042341548706 26469265180652 29762676055664 30738501500112 33483010562622 34031912375124 34580814187626 39063512323059 39520930500144 39703897770978 44644014083496 45375883166832 46107752250168 50224515843933 51047868562686 52084683097412 52938530361304 57665184857849 59555846656467 66966021125244 68063824750248 69161628375252 76571802844029 78127024646118 79407795541956 89288028166992 92215504500336 100449031687866 102095737125372 104169366194824 105877060722608 115330369715698 117190536969177 119111693312934 133932042250488 136127649500496 138323256750504 150673547531799 153143605688058 156254049292236 158815591083912 172995554573547 178667539969401 200898063375732 204191474250744 208338732389648 230660739431396 234381073938354 238223386625868 267864084500976 276646513501008 301347095063598 306287211376116 312508098584472 317631182167824 345991109147094 351571610907531 357335079938802 401796126751464 403656294004943 408382948501488 461321478862792 468762147876708 476446773251736 518986663720641 536002619908203 602694190127196 612574422752232 625016197168944 691982218294188 703143221815062 714670159877604 803592253502928 807312588009886 922642957725584 937524295753416 952893546503472 1037973327441282 1054714832722593 1072005239816406 1205388380254392 1210968882014829 1225148845504464 1383964436588376 1406286443630124 1429340319755208 1556959991161923 1614625176019772 1875048591506832 2075946654882564 2109429665445186 2144010479632812 2410776760508784 2421937764029658 2767928873176752 2812572887260248 2858680639510416 3113919982323846 3229250352039544 3632906646044487 4151893309765128 4218859330890372 4288020959265624 4670879973485769 4843875528059316 5625145774520496 6227839964647692 6458500704079088 7265813292088974 8303786619530256 8437718661780744 8576041918531248 9341759946971538 9687751056118632 10898719938133461 12455679929295384 14531626584177948 16875437323561488 18683519893943076 19375502112237264 21797439876266922 24911359858590768 29063253168355896 32696159814400383 37367039787886152 43594879752533844 58126506336711792 65392319628800766 74734079575772304 87189759505067688 130784639257601532 174379519010135376 261569278515203064 523138557030406128
- Sum of all divisors σ(n): 1815519336153262080
- Sum of proper divisors (its aliquot sum) s(n): 1292380779122855952
- 523138557030406128 is an abundant number, because the sum of its proper divisors (1292380779122855952) is greater than itself. Its abundance is 769242222092449824
Bases of 523138557030406128
- Binary: 111010000101000111110111110111101000001101110010111111100002
- Hexadecimal: 0x7428FBEF41B97F0
- Base-36: 3Z3153CQMN00
Squares and roots of 523138557030406128
- 523138557030406128 squared (5231385570304061282) is 273673949851855484852679124619952384
- 523138557030406128 cubed (5231385570304061283) is 143169395222311407267827013747637686180592111541809152
-
The
square root of 523138557030406128 is 723283179.0041892907 -
The
cube root of 523138557030406128 is 805759.7636692143
Scales and comparisons
How big is 523138557030406128?- 523,138,557,030,406,128 seconds is equal to 16,634,187,939 years, 39 weeks, 5 days, 3 hours, 28 minutes, 48 seconds.
-
To count from 1 to 523,138,557,030,406,128 would take you about forty-nine billion, nine hundred two million, five hundred sixty-three thousand, eight hundred nineteen 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 523138557030406128 cubic inches would be around 67146.6 feet tall.
Recreational maths with 523138557030406128
- 523138557030406128 backwards is 821604030755831325
- 523138557030406128 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 523138557030406128's digits is 63
- More coming soon!
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