132829435300968180
132,829,435,300,968,180 is an even composite number composed of seven prime numbers multiplied together.
132829435300968180 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 132829435300968180:
22 × 32 × 5 × 47 × 61 × 257 × 1001523179
(2 × 2 × 3 × 3 × 5 × 47 × 61 × 257 × 1001523179)See below for interesting mathematical facts about the number 132829435300968180 from the Numbermatics database.
Names of 132829435300968180
- Cardinal: 132829435300968180 can be written as One hundred thirty-two quadrillion, eight hundred twenty-nine trillion, four hundred thirty-five billion, three hundred million, nine hundred sixty-eight thousand, one hundred eighty.
Scientific notation
- Scientific notation: 1.3282943530096818 × 1017
Factors of 132829435300968180
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1001523554
Divisors of 132829435300968180
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 61 90 94 122 141 180 183 188 235 244 257 282 305 366 423 470 514 549 564 610 705 732 771 846 915 940 1028 1098 1220 1285 1410 1542 1692 1830 2115 2196 2313 2570 2745 2820 2867 3084 3660 3855 4230 4626 5140 5490 5734 7710 8460 8601 9252 10980 11468 11565 12079 14335 15420 15677 17202 23130 24158 25803 28670 31354 34404 36237 43005 46260 47031 48316 51606 57340 60395 62708 72474 78385 86010 94062 103212 108711 120790 129015 141093 144948 156770 172020 181185 188124 217422 235155 241580 258030 282186 313540 362370 434844 470310 516060 543555 564372 705465 724740 736819 940620 1087110 1410930 1473638 2174220 2210457 2821860 2947276 3684095 4420914 6631371 7368190 8841828 11052285 13262742 14736380 22104570 26525484 33156855 44209140 66313710 132627420 1001523179 2003046358 3004569537 4006092716 5007615895 6009139074 9013708611 10015231790 12018278148 15022847685 18027417222 20030463580 30045695370 36054834444 45068543055 47071589413 60091390740 61092913919 90137086110 94143178826 122185827838 141214768239 180274172220 183278741757 188286357652 235357947065 244371655676 257391457003 282429536478 305464569595 366557483514 423644304717 470715894130 514782914006 549836225271 564859072956 610929139190 706073841195 733114967028 772174371009 847288609434 916393708785 941431788260 1029565828012 1099672450542 1221858278380 1286957285015 1412147682390 1544348742018 1694577218868 1832787417570 2118221523585 2199344901084 2316523113027 2573914570030 2749181126355 2824295364780 2871366954193 3088697484036 3665574835140 3860871855045 4236443047170 4633046226054 5147829140060 5498362252710 5742733908386 7721743710090 8472886094340 8614100862579 9266092452108 10996724505420 11485467816772 11582615565135 12097398479141 14356834770965 15443487420180 15700878877183 17228201725158 23165231130270 24194796958282 25842302587737 28713669541930 31401757754366 34456403450316 36292195437423 43070504312895 46330462260540 47102636631549 48389593916564 51684605175474 57427339083860 60486992395705 62803515508732 72584390874846 78504394385915 86141008625790 94205273263098 103369210350948 108876586312269 120973984791410 129211512938685 141307909894647 145168781749692 157008788771830 172282017251580 181460977187115 188410546526196 217753172624538 235513183157745 241947969582820 258423025877370 282615819789294 314017577543660 362921954374230 435506345249076 471026366315490 516846051754740 544382931561345 565231639578588 706539549473235 725843908748460 737941307227601 942052732630980 1088765863122690 1413079098946470 1475882614455202 2177531726245380 2213823921682803 2826158197892940 2951765228910404 3689706536138005 4427647843365606 6641471765048409 7379413072276010 8855295686731212 11069119608414015 13282943530096818 14758826144552020 22138239216828030 26565887060193636 33207358825242045 44276478433656060 66414717650484090 132829435300968180
- Sum of all divisors σ(n): 419861720345034240
- Sum of proper divisors (its aliquot sum) s(n): 287032285044066060
- 132829435300968180 is an abundant number, because the sum of its proper divisors (287032285044066060) is greater than itself. Its abundance is 154202849743097880
Bases of 132829435300968180
- Binary: 1110101111110011110101010111010101101010001110110111101002
- Hexadecimal: 0x1D7E7AAEAD476F4
- Base-36: 10BW3S67T3P0
Squares and roots of 132829435300968180
- 132829435300968180 squared (1328294353009681802) is 17643658882374091695338445372512400
- 132829435300968180 cubed (1328294353009681803) is 2343597245988661960898962289308313010288479055432000
-
The
square root of 132829435300968180 is 364457727.7284269357 -
The
cube root of 132829435300968180 is 510228.5727968415
Scales and comparisons
How big is 132829435300968180?- 132,829,435,300,968,180 seconds is equal to 4,223,565,174 years, 7 weeks, 5 days, 20 hours, 3 minutes.
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To count from 1 to 132,829,435,300,968,180 would take you about twelve billion, six hundred seventy million, six hundred ninety-five thousand, five hundred twenty-two 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 132829435300968180 cubic inches would be around 42519 feet tall.
Recreational maths with 132829435300968180
- 132829435300968180 backwards is 081869003534928231
- The number of decimal digits it has is: 18
- The sum of 132829435300968180's digits is 72
- More coming soon!
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