135042475276800
135,042,475,276,800 is an even composite number composed of seven prime numbers multiplied together.
135042475276800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 135042475276800:
29 × 34 × 52 × 72 × 13 × 73 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 73 × 2801)See below for interesting mathematical facts about the number 135042475276800 from the Numbermatics database.
Names of 135042475276800
- Cardinal: 135042475276800 can be written as One hundred thirty-five trillion, forty-two billion, four hundred seventy-five million, two hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.350424752768 × 1014
Factors of 135042475276800
Divisors of 135042475276800
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 73 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 126 128 130 135 140 144 146 147 150 156 160 162 168 175 180 182 189 192 195 196 200 208 210 216 219 224 225 234 240 245 252 256 260 270 273 280 288 292 294 300 312 315 320 324 325 336 350 351 360 364 365 378 384 390 392 400 405 416 420 432 438 441 448 450 455 468 480 490 504 511 512 520 525 540 546 560 567 576 584 585 588 600 624 630 637 640 648 650 657 672 675 700 702 720 728 730 735 756 768 780 784 800 810 819 832 840 864 876 882 896 900 910 936 945 949 960 975 980 1008 1022 1040 1050 1053 1080 1092 1095 1120 1134 1152 1168 1170 1176 1200 1225 1248 1260 1274 1280 1296 1300 1314 1323 1344 1350 1365 1400 1404 1440 1456 1460 1470 1512 1533 1536 1560 1568 1575 1600 1620 1638 1664 1680 1728 1752 1755 1764 1792 1800 1820 1825 1872 1890 1898 1911 1920 1950 1960 1971 2016 2025 2044 2080 2100 2106 2160 2184 2190 2205 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37099581120 37511798688 37679262075 37752998400 38277345600 38473639680 38539519200 39074790300 40191212880 40577666850 41108820480 41221756800 41679776320 42200773524 42399521280 42870627072 43062013800 43282844640 44045164800 44656903200 45932814720 46168367616 46247423040 46374476400 46889748360 47433254400 47634030080 48092049600 48212236800 48229455456 49466108160 50015731584 50239016100 51036460800 51386025600 51939413568 52099720400 52750966905 52854197760 52999401600 53588283840 54103555800 54962342400 55119377664 56267698032 57416018400 57710459520 57809278800 58612185450 59359329792 59542537600 60286819320 61243752960 61663230720 61832635200 62519664480 64122732800 64305940608 64924266960 66067747200 66687642112 66985354800 68514700800 68899222080 69252551424 70334622540 70665868800 71149881600 71451045120 72138074400 73995876864 74199162240 75023597376 75358524150 76554691200 76947279360 77079038400 78149580600 80382425760 81155333700 82443513600 83359552640 84401547048 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231237115200 234448741800 238170150400 241147277280 247330540800 250078657920 257223762432 259697067840 263754834525 264270988800 267941419200 275596888320 281338490160 288552297600 296796648960 300094389504 301434096600 306218764800 308316153600 312598322400 321529703040 324621334800 333438210560 337606188192 344496110400 346262757120 351673112700 357255225600 369979384320 370995811200 375117986880 384736396800 385835643648 401912128800 415515308544 416797763200 422007735240 428706270720 432828446400 450141584256 459328147200 462474230400 468897483600 482294554560 494661081600 500157315840 519394135680 527509669050 535882838400 551193776640 562676980320 577104595200 600188779008 602868193200 616632307200 625196644800 643059406080 649242669600 675212376384 688992220800 692525514240 703346225400 714510451200 741991622400 750235973760 771671287296 803824257600 833595526400 844015470480 865656892800 900283168512 918656294400 924948460800 937794967200 964589109120 1000314631680 1038788271360 1055019338100 1071765676800 1125353960640 1154209190400 1205736386400 1250393289600 1286118812160 1298485339200 1350424752768 1377984441600 1406692450800 1483983244800 1500471947520 1607648515200 1667191052800 1688030940960 1731313785600 1800566337024 1849896921600 1875589934400 1929178218240 2077576542720 2110038676200 2143531353600 2250707921280 2411472772800 2500786579200 2596970678400 2700849505536 2755968883200 2813384901600 3000943895040 3215297030400 3376061881920 3462627571200 3751179868800 3858356436480 4220077352400 4501415842560 4822945545600 5001573158400 5193941356800 5401699011072 5626769803200 6430594060800 6752123763840 7502359737600 8440154704800 9002831685120 9645891091200 10387882713600 11253539606400 13504247527680 15004719475200 16880309409600 19291782182400 22507079212800 27008495055360 33760618819200 45014158425600 67521237638400 135042475276800
- Sum of all divisors σ(n): 634929403839192
- Sum of proper divisors (its aliquot sum) s(n): 499886928562392
- 135042475276800 is an abundant number, because the sum of its proper divisors (499886928562392) is greater than itself. Its abundance is 364844453285592
Bases of 135042475276800
- Binary: 111101011010010000001101100010010111010000000002
- Hexadecimal: 0x7AD206C4BA00
- Base-36: 1BV9NN3400
Squares and roots of 135042475276800
- 135042475276800 squared (1350424752768002) is 18236470128885139236618240000
- 135042475276800 cubed (1350424752768003) is 2462698066516073124907944300439928832000000
-
The
square root of 135042475276800 is 11620777.7397556313 -
The
cube root of 135042475276800 is 51304.6579621955
Scales and comparisons
How big is 135042475276800?- 135,042,475,276,800 seconds is equal to 4,293,933 years.
-
To count from 1 to 135,042,475,276,800 would take you about ten million, seven hundred thirty-four thousand, eight hundred thirty-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 135042475276800 cubic inches would be around 4275.4 feet tall.
Recreational maths with 135042475276800
- 135042475276800 backwards is 008672574240531
- 135042475276800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135042475276800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 135042475276800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 135042475276800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/135042475276800/
Chicago style:
Numbermatics. 2024. "Number 135042475276800 - Facts about the integer". https://numbermatics.com/n/135042475276800/
The information we have on file for 135042475276800 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!
Keywords: Divisors of 135042475276800, math, Factors of 135042475276800, curriculum, school, college, exams, university, Prime factorization of 135042475276800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, forty-two billion, four hundred seventy-five million, two hundred seventy-six thousand, eight hundred.