131940141996973200
131,940,141,996,973,200 is an even composite number composed of six prime numbers multiplied together.
131940141996973200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 131940141996973200:
24 × 3 × 52 × 112 × 331 × 2745252761
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 331 × 2745252761)See below for interesting mathematical facts about the number 131940141996973200 from the Numbermatics database.
Names of 131940141996973200
- Cardinal: 131940141996973200 can be written as One hundred thirty-one quadrillion, nine hundred forty trillion, one hundred forty-one billion, nine hundred ninety-six million, nine hundred seventy-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.319401419969732 × 1017
Factors of 131940141996973200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2745253113
Divisors of 131940141996973200
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 121 132 150 165 176 200 220 240 242 264 275 300 330 331 363 400 440 484 528 550 600 605 660 662 726 825 880 968 993 1100 1200 1210 1320 1324 1452 1650 1655 1815 1936 1986 2200 2420 2640 2648 2904 3025 3300 3310 3630 3641 3972 4400 4840 4965 5296 5808 6050 6600 6620 7260 7282 7944 8275 9075 9680 9930 10923 12100 13200 13240 14520 14564 15888 16550 18150 18205 19860 21846 24200 24825 26480 29040 29128 33100 36300 36410 39720 40051 43692 48400 49650 54615 58256 66200 72600 72820 79440 80102 87384 91025 99300 109230 120153 132400 145200 145640 160204 174768 182050 198600 200255 218460 240306 273075 291280 320408 364100 397200 400510 436920 480612 546150 600765 640816 728200 801020 873840 961224 1001275 1092300 1201530 1456400 1602040 1922448 2002550 2184600 2403060 3003825 3204080 4005100 4369200 4806120 6007650 8010200 9612240 12015300 16020400 24030600 48061200 2745252761 5490505522 8235758283 10981011044 13726263805 16471516566 21962022088 27452527610 30197780371 32943033132 41178791415 43924044176 54905055220 60395560742 65886066264 68631319025 82357582830 90593341113 109810110440 120791121484 131772132528 137262638050 150988901855 164715165660 181186682226 205893957075 219620220880 241582242968 274525276100 301977803710 329430331320 332175584081 362373364452 411787914150 452966705565 483164485936 549050552200 603955607420 658860662640 664351168162 724746728904 754944509275 823575828300 905933411130 908678663891 996526752243 1098101104400 1207911214840 1328702336324 1449493457808 1509889018550 1647151656600 1660877920405 1811866822260 1817357327782 1993053504486 2264833527825 2415822429680 2657404672648 2726035991673 3019778037100 3294303313200 3321755840810 3623733644520 3634714655564 3986107008972 4529667055650 4543393319455 4982633761215 5314809345296 5452071983346 6039556074200 6643511681620 7247467289040 7269429311128 7972214017944 8304389602025 9059334111300 9086786638910 9965267522430 9995465302801 10904143966692 12079112148400 13287023363240 13630179958365 14538858622256 15944428035888 16608779204050 18118668222600 18173573277820 19930535044860 19990930605602 21808287933384 22716966597275 24913168806075 26574046726480 27260359916730 29986395908403 33217558408100 36237336445200 36347146555640 39861070089720 39981861211204 43616575866768 45433933194550 49826337612150 49977326514005 54520719833460 59972791816806 66435116816200 68150899791825 72694293111280 79722140179440 79963722422408 90867866389100 99652675224300 99954653028010 109041439666920 109950118330811 119945583633612 132870233632400 136301799583650 149931979542015 159927444844816 181735732778200 199305350448600 199909306056020 218082879333840 219900236661622 239891167267224 249886632570025 272603599167300 299863959084030 329850354992433 363471465556400 398610700897200 399818612112040 439800473323244 479782334534448 499773265140050 545207198334600 549750591654055 599727918168060 659700709984866 749659897710075 799637224224080 879600946646488 999546530280100 1090414396669200 1099501183308110 1199455836336120 1319401419969732 1499319795420150 1649251774962165 1759201893292976 1999093060560200 2199002366616220 2398911672672240 2638802839939464 2748752958270275 2998639590840300 3298503549924330 3998186121120400 4398004733232440 5277605679878928 5497505916540550 5997279181680600 6597007099848660 8246258874810825 8796009466464880 10995011833081100 11994558363361200 13194014199697320 16492517749621650 21990023666162200 26388028399394640 32985035499243300 43980047332324400 65970070998486600 131940141996973200
- Sum of all divisors σ(n): 465967300405903968
- Sum of proper divisors (its aliquot sum) s(n): 334027158408930768
- 131940141996973200 is an abundant number, because the sum of its proper divisors (334027158408930768) is greater than itself. Its abundance is 202087016411957568
Bases of 131940141996973200
- Binary: 1110101001011111011011100001011110101100000011100100100002
- Hexadecimal: 0x1D4BEDC2F581C90
- Base-36: 1034VKGVHDAO
Squares and roots of 131940141996973200
- 131940141996973200 squared (1319401419969732002) is 17408201070181451156397961518240000
- 131940141996973200 cubed (1319401419969732003) is 2296840521111601488341986034866935840156591168000000
-
The
square root of 131940141996973200 is 363235656.2852457633 -
The
cube root of 131940141996973200 is 509087.3617930503
Scales and comparisons
How big is 131940141996973200?- 131,940,141,996,973,200 seconds is equal to 4,195,288,397 years, 44 weeks, 19 hours, 40 minutes.
-
To count from 1 to 131,940,141,996,973,200 would take you about twelve billion, five hundred eighty-five million, eight hundred sixty-five thousand, one hundred ninety-three 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 131940141996973200 cubic inches would be around 42423.9 feet tall.
Recreational maths with 131940141996973200
- 131940141996973200 backwards is 002379699141049131
- The number of decimal digits it has is: 18
- The sum of 131940141996973200's digits is 69
- More coming soon!
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