132401728603452000
132,401,728,603,452,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 132401728603452000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
132401728603452000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 132401728603452000:
25 × 3 × 53 × 73 × 112 × 6433
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 643 × 643 × 643)See below for interesting mathematical facts about the number 132401728603452000 from the Numbermatics database.
Names of 132401728603452000
- Cardinal: 132401728603452000 can be written as One hundred thirty-two quadrillion, four hundred one trillion, seven hundred twenty-eight billion, six hundred three million, four hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.32401728603452 × 1017
Factors of 132401728603452000
Divisors of 132401728603452000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 66 70 75 77 80 84 88 96 98 100 105 110 112 120 121 125 132 140 147 150 154 160 165 168 175 176 196 200 210 220 224 231 240 242 245 250 264 275 280 294 300 308 330 336 343 350 352 363 375 385 392 400 420 440 462 480 484 490 500 525 528 539 550 560 588 600 605 616 643 660 672 686 700 726 735 750 770 784 800 825 840 847 875 880 924 968 980 1000 1029 1050 1056 1078 1100 1120 1155 1176 1200 1210 1225 1232 1286 1320 1372 1375 1400 1452 1470 1500 1540 1568 1617 1650 1680 1694 1715 1750 1760 1815 1848 1925 1929 1936 1960 2000 2058 2100 2156 2200 2310 2352 2400 2420 2450 2464 2541 2572 2625 2640 2695 2744 2750 2800 2904 2940 3000 3025 3080 3215 3234 3300 3360 3388 3430 3500 3630 3675 3696 3773 3850 3858 3872 3920 4000 4116 4125 4200 4235 4312 4400 4501 4620 4704 4840 4900 5082 5144 5145 5250 5280 5390 5488 5500 5600 5775 5808 5880 5929 6000 6050 6125 6160 6430 6468 6600 6776 6860 7000 7073 7260 7350 7392 7546 7700 7716 7840 8085 8232 8250 8400 8470 8575 8624 8800 9002 9075 9240 9625 9645 9680 9800 10164 10288 10290 10500 10780 10976 11000 11319 11550 11616 11760 11858 12000 12100 12250 12320 12705 12860 12936 13200 13475 13503 13552 13720 14000 14146 14520 14700 15092 15125 15400 15432 16075 16170 16464 16500 16800 16940 17150 17248 17787 18004 18150 18375 18480 18865 19250 19290 19360 19600 20328 20576 20580 21000 21175 21219 21560 22000 22505 22638 23100 23520 23716 24200 24500 25410 25720 25725 25872 26400 26950 27006 27104 27440 28000 28292 28875 29040 29400 29645 30184 30250 30800 30864 31507 32150 32340 32928 33000 33880 34300 35365 35574 36008 36300 36750 36960 37730 38500 38580 39200 40425 40656 41160 41503 42000 42350 42438 42875 43120 44000 45010 45276 45375 46200 47432 48225 48400 49000 49511 50820 51440 51450 51744 53900 54012 54880 56584 56595 57750 58080 58800 59290 60368 60500 61600 61728 63014 63525 64300 64680 66000 67375 67515 67760 68600 70730 71148 72016 72600 73500 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10746893555475 10808304375792 10942291620120 11033477383621 11165603694000 11258650391450 11398220437625 11463353125840 11697299108000 12036520782132 12062839705125 12282164063400 12609688438424 12867029018800 12869530385250 13026537643000 13510380469740 13677864525150 13727499077600 13756023751008 14329191407300 14589722160160 14708034726000 15045650977665 15352705079250 15440434822560 15631845171600 15762110548030 16048694376176 16083786273500 16376218751200 16887975587175 17159373847000 17195029688760 17545948662000 17911489259125 18013840626320 18237152700200 18719316924000 18914532657636 19300543528200 19539806464500 20060867970220 20470273439000 20591248616400 21493787110950 21616608751584 21884583240240 22066954767242 22331207388000 22517300782900 22796440875250 22926706251680 23643165822045 24073041564264 24125679410250 24564328126800 25076084962775 25219376876848 25734058037600 25739060770500 26053075286000 27020760939480 27355729050300 28146625978625 28658382814600 29416069452000 30091301955330 30705410158500 31263690343200 31524221096060 32097388752352 32167572547000 33100432150863 33775951174350 34194661312875 34318747694000 34390059377520 35091897324000 35822978518250 36027681252640 36474305400400 37829065315272 38601087056400 39079612929000 39405276370075 40121735940440 40940546878000 41182497232800 42987574221900 43769166480480 44133909534484 45034601565800 45592881750500 47286331644090 48146083128528 48251358820500 49128656253600 50152169925550 50438753753696 51478121541000 52106150572000 53734467777375 54041521878960 54711458100600 55167386918105 56293251957250 57316765629200 60182603910660 61410820317000 63048442192120 64335145094000 66200864301726 67551902348700 68389322625750 68637495388000 68780118755040 71645957036500 72948610800800 75228254888325 75658130630544 77202174112800 78159225858000 78810552740150 80243471880880 81881093756000 84439877935875 85975148443800 88267819068968 90069203131600 91185763501000 94572663288180 96292166257056 96502717641000 100304339851100 102956243082000 107468935554750 108083043757920 109422916201200 110334773836210 112586503914500 114633531258400 118215829110225 120365207821320 122821640634000 125380424813875 126096884384240 128670290188000 132401728603452 135103804697400 136778645251500 143291914073000 150456509776650 151316261261088 156318451716000 157621105480300 160486943761760 165502160754315 168879755871750 171950296887600 176535638137936 180138406263200 182371527002000 189145326576360 193005435282000 197026381850375 200608679702200 205912486164000 214937871109500 218845832402400 220669547672420 225173007829000 236431658220450 240730415642640 245643281268000 250760849627750 252193768768480 264803457206904 270207609394800 273557290503000 275836934590525 286583828146000 300913019553300 315242210960600 331004321508630 337759511743500 343900593775200 353071276275872 364743054004000 376141274441625 378290653152720 386010870564000 394052763700750 401217359404400 429875742219000 441339095344840 450346015658000 472863316440900 481460831285280 501521699255500 529606914413808 540415218789600 547114581006000 551673869181050 573167656292000 591079145551125 601826039106600 630484421921200 662008643017260 675519023487000 752282548883250 756581306305440 788105527401500 802434718808800 827510803771575 859751484438000 882678190689680 900692031316000 945726632881800 1003043398511000 1059213828827616 1094229162012000 1103347738362100 1182158291102250 1203652078213200 1260968843842400 1324017286034520 1351038046974000 1379184672952625 1504565097766500 1576211054803000 1655021607543150 1719502968876000 1765356381379360 1891453265763600 2006086797022000 2206695476724200 2364316582204500 2407304156426400 2648034572069040 2702076093948000 2758369345905250 3009130195533000 3152422109606000 3310043215086300 3782906531527200 4012173594044000 4137554018857875 4413390953448400 4728633164409000 5296069144138080 5516738691810500 6018260391066000 6304844219212000 6620086430172600 8275108037715750 8826781906896800 9457266328818000 11033477383621000 12036520782132000 13240172860345200 16550216075431500 18914532657636000 22066954767242000 26480345720690400 33100432150863000 44133909534484000 66200864301726000 132401728603452000
- Sum of all divisors σ(n): 556859502501120000
- Sum of proper divisors (its aliquot sum) s(n): 424457773897668000
- 132401728603452000 is an abundant number, because the sum of its proper divisors (424457773897668000) is greater than itself. Its abundance is 292056045294216000
Bases of 132401728603452000
- Binary: 1110101100110001010101011101100010000111001110010011000002
- Hexadecimal: 0x1D662ABB10E7260
- Base-36: 107OHUFF60DC
Squares and roots of 132401728603452000
- 132401728603452000 squared (1324017286034520002) is 17530217737182159494266316304000000
- 132401728603452000 cubed (1324017286034520003) is 2321031131197812721750514881978170418281408000000000
-
The
square root of 132401728603452000 is 363870483.2814170433 -
The
cube root of 132401728603452000 is 509680.3438429125
Scales and comparisons
How big is 132401728603452000?- 132,401,728,603,452,000 seconds is equal to 4,209,965,424 years, 7 weeks, 6 days, 19 hours, 20 minutes.
-
To count from 1 to 132,401,728,603,452,000 would take you about twelve billion, six hundred twenty-nine million, eight hundred ninety-six thousand, two hundred seventy-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 132401728603452000 cubic inches would be around 42473.4 feet tall.
Recreational maths with 132401728603452000
- 132401728603452000 backwards is 000254306827104231
- 132401728603452000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132401728603452000's digits is 48
- More coming soon!
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"Number 132401728603452000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 132401728603452000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/132401728603452000/
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The information we have on file for 132401728603452000 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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