138460696896471040000
138,460,696,896,471,040,000 is an even composite number composed of five prime numbers multiplied together.
138460696896471040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 138460696896471040000:
220 × 54 × 7 × 138 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 37)See below for interesting mathematical facts about the number 138460696896471040000 from the Numbermatics database.
Names of 138460696896471040000
- Cardinal: 138460696896471040000 can be written as One hundred thirty-eight quintillion, four hundred sixty quadrillion, six hundred ninety-six trillion, eight hundred ninety-six billion, four hundred seventy-one million, forty thousand.
Scientific notation
- Scientific notation: 1.3846069689647104 × 1020
Factors of 138460696896471040000
Divisors of 138460696896471040000
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 50 52 56 64 65 70 74 80 91 100 104 112 125 128 130 140 148 160 169 175 182 185 200 208 224 250 256 259 260 280 296 320 325 338 350 364 370 400 416 448 455 481 500 512 518 520 560 592 625 640 650 676 700 728 740 800 832 845 875 896 910 925 962 1000 1024 1036 1040 1120 1183 1184 1250 1280 1295 1300 1352 1400 1456 1480 1600 1625 1664 1690 1750 1792 1820 1850 1924 2000 2048 2072 2080 2197 2240 2275 2366 2368 2405 2500 2560 2590 2600 2704 2800 2912 2960 3200 3250 3328 3367 3380 3500 3584 3640 3700 3848 4000 4096 4144 4160 4225 4375 4394 4480 4550 4625 4732 4736 4810 5000 5120 5180 5200 5408 5600 5824 5915 5920 6253 6400 6475 6500 6656 6734 6760 7000 7168 7280 7400 7696 8000 8125 8192 8288 8320 8450 8750 8788 8960 9100 9250 9464 9472 9620 10000 10240 10360 10400 10816 10985 11200 11375 11648 11830 11840 12025 12506 12800 12950 13000 13312 13468 13520 14000 14336 14560 14800 15379 15392 16000 16250 16384 16576 16640 16835 16900 17500 17576 17920 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83209553423360000 85206582705520640 86537935560294400 93554524930048000 95096632483840000 98900497783193600 102411758059520000 106508228381900800 106919457062912000 108172419450368000 110768557517176832 116943156162560000 117042009210880000 123625622228992000 133135285477376000 133649321328640000 135215524312960000 138460696896471040 143930038353920000 149687239888076800 152154611974144000 154532027786240000 158240796453109760 163858812895232000 166419106846720000 173075871120588800 187109049860096000 190193264967680000 197800995566387200 204823516119040000 213016456763801600 216344838900736000 221537115034353664 233886312325120000 247251244457984000 266270570954752000 267298642657280000 270431048625920000 276921393792942080 287860076707840000 304309223948288000 309064055572480000 332838213693440000 346151742241177600 374218099720192000 380386529935360000 395601991132774400 409647032238080000 426032913527603200 432689677801472000 467772624650240000 494502488915968000 532541141909504000 534597285314560000 540862097251840000 553842787585884160 618128111144960000 665676427386880000 692303484482355200 748436199440384000 760773059870720000 791203982265548800 819294064476160000 865379355602944000 935545249300480000 989004977831936000 1065082283819008000 1081724194503680000 1107685575171768320 1236256222289920000 1331352854773760000 1384606968964710400 1521546119741440000 1730758711205888000 1871090498600960000 1978009955663872000 2130164567638016000 2163448389007360000 2472512444579840000 2662705709547520000 2769213937929420800 3461517422411776000 3742180997201920000 3956019911327744000 4326896778014720000 4945024889159680000 5325411419095040000 5538427875858841600 6923034844823552000 8653793556029440000 9890049778319360000 10650822838190080000 13846069689647104000 17307587112058880000 19780099556638720000 27692139379294208000 34615174224117760000 69230348448235520000 138460696896471040000
- Sum of all divisors σ(n): 440010706489169097744
- Sum of proper divisors (its aliquot sum) s(n): 301550009592698057744
- 138460696896471040000 is an abundant number, because the sum of its proper divisors (301550009592698057744) is greater than itself. Its abundance is 163089312696227017744
Bases of 138460696896471040000
- Binary: 11110000001100001110011011000111011001010110011000000000000000000002
- Hexadecimal: 0x78187363B2B300000
- Base-36: T7YJGPG6X1M9S
Squares and roots of 138460696896471040000
- 138460696896471040000 squared (1384606968964710400002) is 19171364585056425088148005558681600000000
- 138460696896471040000 cubed (1384606968964710400003) is 2654480500903236964761536058121057395510674980864000000000000
-
The
square root of 138460696896471040000 is 11766932348.5975324103 -
The
cube root of 138460696896471040000 is 5173393.3963810673
Scales and comparisons
How big is 138460696896471040000?- 138,460,696,896,471,040,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,460,696,896,471,040,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138460696896471040000 cubic inches would be around 431116.1 feet tall.
Recreational maths with 138460696896471040000
- 138460696896471040000 backwards is 000040174698696064831
- The number of decimal digits it has is: 21
- The sum of 138460696896471040000's digits is 82
- More coming soon!
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"Number 138460696896471040000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138460696896471040000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138460696896471040000/
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The information we have on file for 138460696896471040000 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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