131232653337189886560
131,232,653,337,189,886,560 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131232653337189886560 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
131232653337189886560 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 131232653337189886560:
25 × 32 × 5 × 13 × 53 × 8191 × 16148168401
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 53 × 8191 × 16148168401)See below for interesting mathematical facts about the number 131232653337189886560 from the Numbermatics database.
Names of 131232653337189886560
- Cardinal: 131232653337189886560 can be written as One hundred thirty-one quintillion, two hundred thirty-two quadrillion, six hundred fifty-three trillion, three hundred thirty-seven billion, one hundred eighty-nine million, eight hundred eighty-six thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3123265333718988656 × 1020
Factors of 131232653337189886560
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 16148176668
Divisors of 131232653337189886560
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 65 72 78 80 90 96 104 106 117 120 130 144 156 159 160 180 195 208 212 234 240 260 265 288 312 318 360 390 416 424 468 477 480 520 530 585 624 636 689 720 780 795 848 936 954 1040 1060 1170 1248 1272 1378 1440 1560 1590 1696 1872 1908 2067 2080 2120 2340 2385 2544 2756 3120 3180 3445 3744 3816 4134 4240 4680 4770 5088 5512 6201 6240 6360 6890 7632 8191 8268 8480 9360 9540 10335 11024 12402 12720 13780 15264 16382 16536 18720 19080 20670 22048 24573 24804 25440 27560 31005 32764 33072 38160 40955 41340 49146 49608 55120 62010 65528 66144 73719 76320 81910 82680 98292 99216 106483 110240 122865 124020 131056 147438 163820 165360 196584 198432 212966 245730 248040 262112 294876 319449 327640 330720 368595 393168 425932 434123 491460 496080 532415 589752 638898 655280 737190 786336 851864 868246 958347 982920 992160 1064830 1179504 1277796 1302369 1310560 1474380 1597245 1703728 1736492 1916694 1965840 2129660 2170615 2359008 2555592 2604738 2948760 3194490 3407456 3472984 3833388 3907107 3931680 4259320 4341230 4791735 5111184 5209476 5643599 5897520 6388980 6511845 6945968 7666776 7814214 8518640 8682460 9583470 10222368 10418952 11287198 11795040 12777960 13023690 13891936 15333552 15628428 16930797 17037280 17364920 19166940 19535535 20837904 22574396 25555920 26047380 28217995 30667104 31256856 33861594 34729840 38333880 39071070 41675808 45148792 50792391 51111840 52094760 56435990 62513712 67723188 69459680 76667760 78142140 84653985 90297584 101584782 104189520 112871980 125027424 135446376 153335520 156284280 169307970 180595168 203169564 208379040 225743960 253961955 270892752 312568560 338615940 406339128 451487920 507923910 541785504 625137120 677231880 812678256 902975840 1015847820 1354463760 1625356512 2031695640 2708927520 4063391280 8126782560 16148168401 32296336802 48444505203 64592673604 80740842005 96889010406 129185347208 145333515609 161481684010 193778020812 209926189213 242222526015 258370694416 290667031218 322963368020 387556041624 419852378426 484445052030 516741388832 581334062436 629778567639 645926736040 726667578045 775112083248 839704756852 855852925253 968890104060 1049630946065 1162668124872 1259557135278 1291853472080 1453335156090 1550224166496 1679409513704 1711705850506 1889335702917 1937780208120 2099261892130 2325336249744 2519114270556 2567558775759 2583706944160 2906670312180 3148892838195 3358819027408 3423411701012 3778671405834 3875560416240 4198523784260 4279264626265 4650672499488 5038228541112 5135117551518 5813340624360 6297785676390 6717638054816 6846823402024 7557342811668 7702676327277 7751120832480 8397047568520 8558529252530 9446678514585 10076457082224 10270235103036 11126088028289 11626681248720 12595571352780 12837793878795 13693646804048 15114685623336 15405352654554 16794095137040 17117058505060 18893357029170 20152914164448 20540470206072 22252176056578 23253362497440 25191142705560 25675587757590 27387293608096 30229371246672 30810705309108 33378264084867 33588190274080 34234117010120 37786714058340 38513381636385 41080940412144 44504352113156 50382285411120 51351175515180 55630440141445 60458742493344 61621410618216 66756528169734 68468234020240 75573428116680 77026763272770 82161880824288 89008704226312 100134792254601 100764570822240 102702351030360 111260880282890 123242821236432 132269647372591 133513056339468 136936468040480 151146856233360 154053526545540 166891320424335 178017408452624 200269584509202 205404702060720 222521760565780 246485642472864 264539294745182 267026112678936 302293712466720 308107053091080 333782640848670 356034816905248 396808942117773 400539169018404 410809404121440 445043521131560 500673961273005 529078589490364 534052225357872 616214106182160 661348236862955 667565281697340 793617884235546 801078338036808 890087042263120 1001347922546010 1058157178980728 1068104450715744 1190426826353319 1232428212364320 1322696473725910 1335130563394680 1587235768471092 1602156676073616 1719505415843683 1780174084526240 1984044710588865 2002695845092020 2116314357961456 2380853652706638 2645392947451820 2670261126789360 3174471536942184 3204313352147232 3439010831687366 3968089421177730 4005391690184040 4232628715922912 4761707305413276 5158516247531049 5290785894903640 5340522253578720 5952134131766595 6348943073884368 6878021663374732 7010291310747323 7936178842355460 8010783380368080 8597527079218415 9523414610826552 10317032495062098 10581571789807280 11904268263533190 12697886147768736 13756043326749464 14020582621494646 15475548742593147 15872357684710920 16021566760736160 17195054158436830 19046829221653104 20634064990124196 21030873932241969 21163143579614560 23808536527066380 25792581237655245 27512086653498928 28041165242989292 30951097485186294 31744715369421840 34390108316873660 35051456553736615 38093658443306208 41268129980248392 42061747864483938 47617073054132760 51585162475310490 55024173306997856 56082330485978584 61902194970372588 63092621796725907 63489430738843680 68780216633747320 70102913107473230 77377743712965735 82536259960496784 84123495728967876 91133787039715199 95234146108265520 103170324950620980 105154369661209845 112164660971957168 123804389940745176 126185243593451814 137560433267494640 140205826214946460 154755487425931470 165072519920993568 168246991457935752 182267574079430398 190468292216531040 206340649901241960 210308739322419690 224329321943914336 247608779881490352 252370487186903628 273401361119145597 275120866534989280 280411652429892920 309510974851862940 315463108983629535 336493982915871504 364535148158860796 412681299802483920 420617478644839380 455668935198575995 495217559762980704 504740974373807256 546802722238291194 560823304859785840 619021949703725880 630926217967259070 672987965831743008 729070296317721592 820204083357436791 825362599604967840 841234957289678760 911337870397151990 1009481948747614512 1093605444476582388 1121646609719571680 1238043899407451760 1261852435934518140 1367006805595727985 1458140592635443184 1640408166714873582 1682469914579357520 1822675740794303980 2018963897495229024 2187210888953164776 2476087798814903520 2523704871869036280 2734013611191455970 2916281185270886368 3280816333429747164 3364939829158715040 3645351481588607960 4101020416787183955 4374421777906329552 5047409743738072560 5468027222382911940 6561632666859494328 7290702963177215920 8202040833574367910 8748843555812659104 10094819487476145120 10936054444765823880 13123265333718988656 14581405926354431840 16404081667148735820 21872108889531647760 26246530667437977312 32808163334297471640 43744217779063295520 65616326668594943280 131232653337189886560
- Sum of all divisors σ(n): 491439613892489773056
- Sum of proper divisors (its aliquot sum) s(n): 360206960555299886496
- 131232653337189886560 is an abundant number, because the sum of its proper divisors (360206960555299886496) is greater than itself. Its abundance is 228974307218109999936
Bases of 131232653337189886560
- Binary: 11100011101001110000000101011101000111001110010111100101010011000002
- Hexadecimal: 0x71D380AE8E72F2A60
- Base-36: RP1L93TBRDG80
Squares and roots of 131232653337189886560
- 131232653337189886560 squared (1312326533371898865602) is 17222009301919055869772706958345668633600
- 131232653337189886560 cubed (1312326533371898865603) is 2260089976488603055894846080166223778114911592630934204416000
-
The
square root of 131232653337189886560 is 11455682141.9411723551 -
The
cube root of 131232653337189886560 is 5081757.8874180403
Scales and comparisons
How big is 131232653337189886560?- 131,232,653,337,189,886,560 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,232,653,337,189,886,560 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 131232653337189886560 cubic inches would be around 423479.8 feet tall.
Recreational maths with 131232653337189886560
- 131232653337189886560 backwards is 065688981733356232131
- 131232653337189886560 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 131232653337189886560's digits is 90
- More coming soon!
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The information we have on file for 131232653337189886560 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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