135147227639230800
135,147,227,639,230,800 is an even composite number composed of six prime numbers multiplied together.
135147227639230800 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 135147227639230800:
24 × 32 × 52 × 7 × 191 × 28078456669
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 191 × 28078456669)See below for interesting mathematical facts about the number 135147227639230800 from the Numbermatics database.
Names of 135147227639230800
- Cardinal: 135147227639230800 can be written as One hundred thirty-five quadrillion, one hundred forty-seven trillion, two hundred twenty-seven billion, six hundred thirty-nine million, two hundred thirty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351472276392308 × 1017
Factors of 135147227639230800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 28078456877
Divisors of 135147227639230800
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 126 140 144 150 168 175 180 191 200 210 225 240 252 280 300 315 336 350 360 382 400 420 450 504 525 560 573 600 630 700 720 764 840 900 955 1008 1050 1146 1200 1260 1337 1400 1528 1575 1680 1719 1800 1910 2100 2292 2520 2674 2800 2865 3056 3150 3438 3600 3820 4011 4200 4584 4775 5040 5348 5730 6300 6685 6876 7640 8022 8400 8595 9168 9550 10696 11460 12033 12600 13370 13752 14325 15280 16044 17190 19100 20055 21392 22920 24066 25200 26740 27504 28650 32088 33425 34380 38200 40110 42975 45840 48132 53480 57300 60165 64176 66850 68760 76400 80220 85950 96264 100275 106960 114600 120330 133700 137520 160440 171900 192528 200550 229200 240660 267400 300825 320880 343800 401100 481320 534800 601650 687600 802200 962640 1203300 1604400 2406600 4813200 28078456669 56156913338 84235370007 112313826676 140392283345 168470740014 196549196683 224627653352 252706110021 280784566690 336941480028 393098393366 421176850035 449255306704 505412220042 561569133380 589647590049 673882960056 701961416725 786196786732 842353700070 982745983415 1010824440084 1123138266760 1179295180098 1263530550105 1347765920112 1403922833450 1572393573464 1684707400140 1768942770147 1965491966830 2021648880168 2105884250175 2246276533520 2358590360196 2527061100210 2807845666900 2948237950245 3144787146928 3369414800280 3537885540294 3930983933660 4043297760336 4211768500350 4717180720392 4913729917075 5054122200420 5362985223779 5615691333800 5896475900490 6317652750525 6738829600560 7075771080588 7861967867320 8423537000700 8844713850735 9434361440784 9827459834150 10108244400840 10725970447558 11231382667600 11792951800980 12635305501050 14151542161176 14741189751225 15723935734640 16088955671337 16847074001400 17689427701470 19654919668300 20216488801680 21451940895116 23585903601960 25270611002100 26814926118895 28303084322352 29482379502450 32177911342674 33694148002800 35378855402940 37540896566453 39309839336600 42903881790232 44223569253675 47171807203920 48266867014011 50541222004200 53629852237790 58964759004900 64355822685348 70757710805880 75081793132906 78619678673200 80444778356685 85807763580464 88447138507350 96533734028022 101082444008400 107259704475580 112622689699359 117929518009800 128711645370696 134074630594475 141515421611760 150163586265812 160889556713370 176894277014700 187704482832265 193067468056044 214519408951160 225245379398718 235859036019600 241334335070055 257423290741392 268149261188950 300327172531624 321779113426740 337868069098077 353788554029400 375408965664530 386134936112088 402223891783425 429038817902320 450490758797436 482668670140110 536298522377900 563113448496795 600654345063248 643558226853480 675736138196154 707577108058800 750817931329060 772269872224176 804447783566850 900981517594872 938522414161325 965337340280220 1072597044755800 1126226896993590 1206671675350275 1287116453706960 1351472276392308 1501635862658120 1608895567133700 1689340345490385 1801963035189744 1877044828322650 1930674680560440 2145194089511600 2252453793987180 2413343350700550 2702944552784616 2815567242483975 3003271725316240 3217791134267400 3378680690980770 3754089656645300 3861349361120880 4504907587974360 4826686701401100 5405889105569232 5631134484967950 6435582268534800 6757361381961540 7508179313290600 8446701727451925 9009815175948720 9653373402802200 11262268969935900 13514722763923080 15016358626581200 16893403454903850 19306746805604400 22524537939871800 27029445527846160 33786806909807700 45049075879743600 67573613819615400 135147227639230800
- Sum of all divisors σ(n): 538804468497884160
- Sum of proper divisors (its aliquot sum) s(n): 403657240858653360
- 135147227639230800 is an abundant number, because the sum of its proper divisors (403657240858653360) is greater than itself. Its abundance is 268510013219422560
Bases of 135147227639230800
- Binary: 1111000000010001110101111111111111101000010110001010100002
- Hexadecimal: 0x1E023AFFFD0B150
- Base-36: 10YPOZ9UDV80
Squares and roots of 135147227639230800
- 135147227639230800 squared (1351472276392308002) is 18264773138570069474599215668640000
- 135147227639230800 cubed (1351472276392308003) is 2468433453137237179876087300295283172517282112000000
-
The
square root of 135147227639230800 is 367623758.2627526537 -
The
cube root of 135147227639230800 is 513179.2019716551
Scales and comparisons
How big is 135147227639230800?- 135,147,227,639,230,800 seconds is equal to 4,297,263,801 years, 5 weeks, 3 days, 5 hours.
-
To count from 1 to 135,147,227,639,230,800 would take you about twelve billion, eight hundred ninety-one million, seven hundred ninety-one thousand, four hundred 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 135147227639230800 cubic inches would be around 42764.9 feet tall.
Recreational maths with 135147227639230800
- 135147227639230800 backwards is 008032936722741531
- 135147227639230800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135147227639230800's digits is 63
- More coming soon!
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