131053344655336168000
131,053,344,655,336,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 131053344655336168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2352 divisors.
131053344655336168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 131053344655336168000:
26 × 53 × 13 × 175 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 17 × 17 × 17 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 131053344655336168000 from the Numbermatics database.
Names of 131053344655336168000
- Cardinal: 131053344655336168000 can be written as One hundred thirty-one quintillion, fifty-three quadrillion, three hundred forty-four trillion, six hundred fifty-five billion, three hundred thirty-six million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31053344655336168 × 1020
Factors of 131053344655336168000
Divisors of 131053344655336168000
- Number of divisors d(n): 2352
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 40 50 52 62 64 65 68 80 85 100 104 124 125 130 136 155 160 170 200 208 221 248 250 260 272 289 310 320 325 340 400 403 416 425 442 496 500 520 527 544 578 620 650 680 775 800 806 832 850 884 961 992 1000 1040 1054 1088 1105 1156 1240 1300 1360 1445 1550 1600 1612 1625 1700 1768 1922 1984 2000 2015 2080 2108 2125 2210 2312 2480 2600 2635 2720 2890 3100 3224 3250 3400 3536 3757 3844 3875 4000 4030 4160 4216 4250 4420 4624 4805 4913 4960 5200 5270 5440 5525 5780 6200 6448 6500 6800 6851 7072 7225 7514 7688 7750 8000 8060 8432 8500 8840 8959 9248 9610 9826 9920 10075 10400 10540 11050 11560 12400 12493 12896 13000 13175 13600 13702 14144 14450 15028 15376 15500 16120 16337 16864 17000 17680 17918 18496 18785 19220 19652 20150 20800 21080 22100 23120 24025 24565 24800 24986 25792 26000 26350 27200 27404 27625 28900 29791 30056 30752 31000 32240 32674 33728 34000 34255 35360 35836 36125 37570 38440 39304 40300 42160 44200 44795 46240 48050 49130 49600 49972 50375 52000 52700 54808 55250 57800 59582 60112 61504 62000 62465 63869 64480 65348 65875 68000 68510 70720 71672 72250 75140 76880 78608 80600 81685 83521 84320 88400 89590 92480 93925 96100 98260 99944 100750 104000 105400 109616 110500 115600 116467 119164 120125 120224 122825 124000 124930 127738 128960 130696 131750 136000 137020 143344 144500 148955 150280 152303 153760 157216 161200 163370 167042 168640 171275 176800 179180 187850 192200 196520 199888 201500 210800 212381 219232 221000 223975 231200 232934 238328 240250 240448 245650 248000 249860 255476 261392 263500 274040 277729 286688 289000 297910 300560 304606 307520 312325 314432 319345 322400 326740 334084 342550 353600 358360 375700 384400 387283 393040 399776 403000 408425 417605 421600 424762 438464 442000 447950 462400 465868 469625 476656 480500 491300 499720 506447 510952 522784 527000 548080 555458 573376 578000 582335 595820 601120 609212 614125 624650 638690 644800 653480 668168 685100 716720 744775 751400 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471874901992000 478227064134200 497356146699568 501367083366500 512977127618000 524507102598800 528440905868291 533496212722720 545038198094125 545487386702752 549886478531000 562620075452000 566839726017890 585124878470080 593001559526408 597783830167750 617067179528000 621695183374460 650388807222512 655633878248500 666870265903400 681859233378440 697648893560480 731406098087600 741251949408010 765163302614720 777118979218075 784553254004000 802187333386400 812986009028140 833587832379250 852324041723050 860477762456000 872061116950600 879818365649600 906943561628624 914257622609500 956454128268400 963627534230413 994712293399136 1002734166733000 1016232511285175 1025954255236000 1049014205197600 1056881811736582 1066992425445440 1090076396188250 1090974773405504 1099772957062000 1125240150904000 1133679452035780 1186003119052816 1195567660335500 1243390366748920 1260128313993617 1300777614445024 1311267756497000 1333740531806800 1363718466756880 1395297787120960 1417099315044725 1462812196175200 1482503898816020 1554237958436150 1569106508008000 1604374666772800 1625972018056280 1667175664758500 1704648083446100 1744122233901200 1813887123257248 1828515245219000 1853129873520025 1912908256536800 1927255068460826 1989424586798272 2005468333466000 2032465022570350 2051908510472000 2098028410395200 2113763623473164 2130810104307625 2180152792376500 2199545914124000 2267358904071560 2372006238105632 2391135320671000 2486780733497840 2520256627987234 2601555228890048 2622535512994000 2642204529341455 2667481063613600 2727436933513760 2834198630089450 2925624392350400 2965007797632040 3108475916872300 3251944036112560 3334351329517000 3409296166892200 3488244467802400 3627774246514496 3657030490438000 3706259747040050 3825816513073600 3854510136921652 3885594896090375 4010936666932000 4064930045140700 4227527246946328 4261620208615250 4360305584753000 4399091828248000 4534717808143120 4744012476211264 4782270641342000 4818137671152065 4973561466995680 5040513255974468 5081162556425875 5245071025988000 5284409058682910 5334962127227200 5454873867027520 5668397260178900 5930015595264080 6216951833744600 6300641569968085 6503888072225120 6668702659034000 6818592333784400 6976488935604800 7085496575223625 7314060980876000 7412519494080100 7709020273843304 7771189792180750 8021873333864000 8129860090281400 8455054493892656 8523240417230500 8720611169506000 9069435616286240 9265649367600125 9564541282684000 9636275342304130 9947122933991360 10081026511948936 10162325112851750 10490142051976000 10568818117365820 11336794520357800 11860031190528160 12433903667489200 12601283139936170 13007776144450240 13211022646707275 13337405318068000 13637184667568800 14170993150447250 14628121961752000 14825038988160200 15418040547686608 15542379584361500 16259720180562800 16381668081917021 16910108987785312 17046480834461000 17441222339012000 18138871232572480 18531298735200250 19129082565368000 19272550684608260 20162053023897872 20324650225703500 21137636234731640 22673589040715600 23720062381056320 24090688355760325 24867807334978400 25202566279872340 26422045293414550 26674810636136000 27274369335137600 28341986300894500 29650077976320400 30836081095373216 31084759168723000 31503207849840425 32519440361125600 32763336163834042 33820217975570624 34092961668922000 34882444678024000 37062597470400500 38545101369216520 40324106047795744 40649300451407000 42275272469463280 45347178081431200 48181376711520650 49735614669956800 50405132559744680 52844090586829100 56683972601789000 59300155952640800 61672162190746432 62169518337446000 63006415699680850 65038880722251200 65526672327668084 66055113233536375 68185923337844000 74125194940801000 77090202738433040 80648212095591488 81298600902814000 81908340409585105 84550544938926560 90694356162862400 96362753423041300 100810265119489360 105688181173658200 113367945203578000 118600311905281600 120453441778801625 124339036674892000 126012831399361700 131053344655336168 132110226467072750 136371846675688000 148250389881602000 154180405476866080 157516039249202125 162597201805628000 163816680819170210 169101089877853120 192725506846082600 201620530238978720 211376362347316400 226735890407156000 240906883557603250 248678073349784000 252025662798723400 262106689310672336 264220452934145500 296500779763204000 308360810953732160 315032078498404250 325194403611256000 327633361638340420 385451013692165200 403241060477957440 409541702047925525 422752724694632800 453471780814312000 481813767115206500 504051325597446800 524213378621344672 528440905868291000 593001559526408000 630064156996808500 655266723276680840 770902027384330400 819083404095851050 845505449389265600 963627534230413000 1008102651194893600 1048426757242689344 1056881811736582000 1260128313993617000 1310533446553361680 1541804054768660800 1638166808191702100 1927255068460826000 2016205302389787200 2047708510239627625 2113763623473164000 2520256627987234000 2621066893106723360 3276333616383404200 3854510136921652000 4095417020479255250 4227527246946328000 5040513255974468000 5242133786213446720 6552667232766808400 7709020273843304000 8190834040958510500 10081026511948936000 13105334465533616800 16381668081917021000 26210668931067233600 32763336163834042000 65526672327668084000 131053344655336168000
- Sum of all divisors σ(n): 383743016157006546768
- Sum of proper divisors (its aliquot sum) s(n): 252689671501670378768
- 131053344655336168000 is an abundant number, because the sum of its proper divisors (252689671501670378768) is greater than itself. Its abundance is 121636326846334210768
Bases of 131053344655336168000
- Binary: 11100011010101110110000001010011101000110000010011001011010010000002
- Hexadecimal: 0x71ABB029D18265A40
- Base-36: RNOJPHE24N2V4
Squares and roots of 131053344655336168000
- 131053344655336168000 squared (1310533446553361680002) is 17174979145350328950557077088924224000000
- 131053344655336168000 cubed (1310533446553361680003) is 2250838461383807679064315207366841282541252198533632000000000
-
The
square root of 131053344655336168000 is 11447853277.1579566571 -
The
cube root of 131053344655336168000 is 5079442.3594719925 - Being both a perfect square and a perfect cube, 131053344655336168000 is also a
perfect sixth number .
Scales and comparisons
How big is 131053344655336168000?- 131,053,344,655,336,168,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,053,344,655,336,168,000 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 131053344655336168000 cubic inches would be around 423286.9 feet tall.
Recreational maths with 131053344655336168000
- 131053344655336168000 backwards is 000861633556443350131
- The number of decimal digits it has is: 21
- The sum of 131053344655336168000's digits is 67
- More coming soon!
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Cite this page
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"Number 131053344655336168000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 131053344655336168000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/131053344655336168000/
Chicago style:
Numbermatics. 2024. "Number 131053344655336168000 - Facts about the integer". https://numbermatics.com/n/131053344655336168000/
The information we have on file for 131053344655336168000 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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