131085232360205760
131,085,232,360,205,760 is an even composite number composed of six prime numbers multiplied together.
131085232360205760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 131085232360205760:
26 × 32 × 5 × 7 × 13 × 500172589897
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 500172589897)See below for interesting mathematical facts about the number 131085232360205760 from the Numbermatics database.
Names of 131085232360205760
- Cardinal: 131085232360205760 can be written as One hundred thirty-one quadrillion, eighty-five trillion, two hundred thirty-two billion, three hundred sixty million, two hundred five thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3108523236020576 × 1017
Factors of 131085232360205760
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 500172589927
Divisors of 131085232360205760
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 360 364 390 416 420 448 455 468 480 504 520 546 560 576 585 624 630 672 720 728 780 819 832 840 910 936 960 1008 1040 1092 1120 1170 1248 1260 1344 1365 1440 1456 1560 1638 1680 1820 1872 2016 2080 2184 2240 2340 2496 2520 2730 2880 2912 3120 3276 3360 3640 3744 4032 4095 4160 4368 4680 5040 5460 5824 6240 6552 6720 7280 7488 8190 8736 9360 10080 10920 12480 13104 14560 16380 17472 18720 20160 21840 26208 29120 32760 37440 43680 52416 65520 87360 131040 262080 500172589897 1000345179794 1500517769691 2000690359588 2500862949485 3001035539382 3501208129279 4001380719176 4501553309073 5001725898970 6002071078764 6502243668661 7002416258558 7502588848455 8002761438352 9003106618146 10003451797940 10503624387837 12004142157528 13004487337322 14004832517116 15005177696910 16005522876704 17506040646395 18006213236292 19506731005983 20006903595880 21007248775674 22507766545365 24008284315056 26008974674644 28009665034232 30010355393820 31510873163511 32011045753408 32511218343305 35012081292790 36012426472584 39013462011966 40013807191760 42014497551348 45015533090730 45515705680627 48016568630112 52017949349288 52518121939185 56019330068464 58520193017949 60020710787640 63021746327022 65022436686610 70024162585580 72024852945168 78026924023932 80027614383520 84028995102696 90031066181460 91031411361254 96033137260224 97533655029915 104035898698576 105036243878370 112038660136928 117040386035898 120041421575280 126043492654044 130044873373220 136547117041881 140048325171160 144049705890336 156053848047864 157554365817555 160055228767040 168057990205392 180062132362920 182062822722508 195067310059830 208071797397152 210072487756740 224077320273856 227578528403135 234080772071796 240082843150560 252086985308088 260089746746440 273094234083762 280096650342320 288099411780672 292600965089745 312107696095728 315108731635110 336115980410784 360124264725840 364125645445016 390134620119660 409641351125643 416143594794304 420144975513480 455157056806270 468161544143592 480165686301120 504173970616176 520179493492880 546188468167524 560193300684640 585201930179490 624215392191456 630217463270220 672231960821568 682735585209405 720248529451680 728251290890032 780269240239320 819282702251286 840289951026960 910314113612540 936323088287184 1008347941232352 1040358986985760 1092376936335048 1120386601369280 1170403860358980 1248430784382912 1260434926540440 1365471170418810 1440497058903360 1456502581780064 1560538480478640 1638565404502572 1680579902053920 1820628227225080 1872646176574368 2016695882464704 2048206755628215 2080717973971520 2184753872670096 2340807720717960 2520869853080880 2730942340837620 2913005163560128 3121076960957280 3277130809005144 3361159804107840 3641256454450160 3745292353148736 4096413511256430 4369507745340192 4681615441435920 5041739706161760 5461884681675240 6242153921914560 6554261618010288 7282512908900320 8192827022512860 8739015490680384 9363230882871840 10083479412323520 10923769363350480 13108523236020576 14565025817800640 16385654045025720 18726461765743680 21847538726700960 26217046472041152 32771308090051440 43695077453401920 65542616180102880 131085232360205760
- Sum of all divisors σ(n): 554927483659313856
- Sum of proper divisors (its aliquot sum) s(n): 423842251299108096
- 131085232360205760 is an abundant number, because the sum of its proper divisors (423842251299108096) is greater than itself. Its abundance is 292757018938902336
Bases of 131085232360205760
- Binary: 1110100011011010101010011000001100010000100101101110000002
- Hexadecimal: 0x1D1B55306212DC0
- Base-36: ZUPU4EIV3K0
Squares and roots of 131085232360205760
- 131085232360205760 squared (1310852323602057602) is 17183338142929135364420829537177600
- 131085232360205760 cubed (1310852323602057603) is 2252481873189852243915286815597460184472705662976000
-
The
square root of 131085232360205760 is 362056946.2946481849 -
The
cube root of 131085232360205760 is 507985.4300182479
Scales and comparisons
How big is 131085232360205760?- 131,085,232,360,205,760 seconds is equal to 4,168,104,915 years, 42 weeks, 5 hours, 36 minutes.
-
To count from 1 to 131,085,232,360,205,760 would take you about twelve billion, five hundred four million, three hundred fourteen thousand, seven hundred forty-seven 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 131085232360205760 cubic inches would be around 42332.1 feet tall.
Recreational maths with 131085232360205760
- 131085232360205760 backwards is 067502063232580131
- The number of decimal digits it has is: 18
- The sum of 131085232360205760's digits is 54
- More coming soon!
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