138091380854784000
138,091,380,854,784,000 is an even composite number composed of five prime numbers multiplied together.
138091380854784000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138091380854784000:
215 × 3 × 53 × 72 × 475
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 47 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138091380854784000 from the Numbermatics database.
Names of 138091380854784000
- Cardinal: 138091380854784000 can be written as One hundred thirty-eight quadrillion, ninety-one trillion, three hundred eighty billion, eight hundred fifty-four million, seven hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38091380854784 × 1017
Factors of 138091380854784000
Divisors of 138091380854784000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 47 48 49 50 56 60 64 70 75 80 84 94 96 98 100 105 112 120 125 128 140 141 147 150 160 168 175 188 192 196 200 210 224 235 240 245 250 256 280 282 294 300 320 329 336 350 375 376 384 392 400 420 448 470 480 490 500 512 525 560 564 588 600 640 658 672 700 705 735 750 752 768 784 800 840 875 896 940 960 980 987 1000 1024 1050 1120 1128 1175 1176 1200 1225 1280 1316 1344 1400 1410 1470 1500 1504 1536 1568 1600 1645 1680 1750 1792 1880 1920 1960 1974 2000 2048 2100 2209 2240 2256 2303 2350 2352 2400 2450 2560 2625 2632 2688 2800 2820 2940 3000 3008 3072 3136 3200 3290 3360 3500 3525 3584 3675 3760 3840 3920 3948 4000 4096 4200 4418 4480 4512 4606 4700 4704 4800 4900 4935 5120 5250 5264 5376 5600 5640 5875 5880 6000 6016 6125 6144 6272 6400 6580 6627 6720 6909 7000 7050 7168 7350 7520 7680 7840 7896 8000 8192 8225 8400 8836 8960 9024 9212 9400 9408 9600 9800 9870 10240 10500 10528 10752 11045 11200 11280 11515 11750 11760 12000 12032 12250 12288 12544 12800 13160 13254 13440 13818 14000 14100 14336 14700 15040 15360 15463 15680 15792 16000 16384 16450 16800 17625 17672 17920 18048 18375 18424 18800 18816 19200 19600 19740 20480 21000 21056 21504 22090 22400 22560 23030 23500 23520 24000 24064 24500 24576 24675 25088 25600 26320 26508 26880 27636 28000 28200 28672 29400 30080 30720 30926 31360 31584 32000 32768 32900 33135 33600 34545 35250 35344 35840 36096 36750 36848 37600 37632 38400 39200 39480 40960 41125 42000 42112 43008 44180 44800 45120 46060 46389 47000 47040 48000 48128 49000 49152 49350 50176 51200 52640 53016 53760 55225 55272 56000 56400 57344 57575 58800 60160 61440 61852 62720 63168 64000 65800 66270 67200 69090 70500 70688 71680 72192 73500 73696 75200 75264 76800 77315 78400 78960 81920 82250 84000 84224 86016 88360 89600 90240 92120 92778 94000 94080 96000 96256 98000 98304 98700 100352 102400 103823 105280 106032 107520 108241 110450 110544 112000 112800 114688 115150 117600 120320 122880 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16789225635840 16856858014500 17261422606848 17488776704000 17613696537600 17980648548800 18363215539200 18787942973440 19264980588000 19587429908480 19727340122112 19987173376000 20549312627200 20837691392000 20986532044800 21576778258560 22017120672000 22475810686000 22545531568128 22954019424000 23015230142464 23484928716800 23504915890176 24484287385600 24659175152640 25686640784000 26233165056000 26303120162816 26970972823200 27982042726400 28181914460160 28769037678080 29356160896000 29381144862720 29980760064000 30605359232000 30823968940800 31256537088000 32878900203520 33713716029000 34522845213696 34977553408000 35227393075200 35961297097600 36726431078400 37575885946880 38529961176000 39174859816960 39454680244224 41098625254400 41973064089600 43153556517120 44034241344000 44951621372000 45908038848000 46030460284928 46969857433600 48968574771200 49318350305280 51373281568000 52466330112000 52606240325632 53941945646400 56363828920320 57538075356160 58712321792000 58762289725440 59961520128000 61210718464000 61647937881600 62513074176000 65757800407040 67427432058000 69045690427392 69955106816000 70454786150400 71922594195200 73452862156800 77059922352000 78909360488448 82197250508800 83946128179200 86307113034240 88068482688000 89903242744000 91816077696000 92060920569856 93939714867200 97937149542400 98636700610560 102746563136000 104932660224000 107883891292800 112727657840640 115076150712320 117424643584000 117524579450880 122421436928000 123295875763200 131515600814080 134854864116000 138091380854784 139910213632000 140909572300800 143845188390400 146905724313600 154119844704000 157818720976896 164394501017600 172614226068480 176136965376000 179806485488000 183632155392000 184121841139712 187879429734400 195874299084800 197273401221120 205493126272000 209865320448000 215767782585600 230152301424640 234849287168000 244842873856000 246591751526400 263031201628160 269709728232000 276182761709568 281819144601600 287690376780800 293811448627200 308239689408000 328789002035200 345228452136960 352273930752000 359612970976000 367264310784000 368243682279424 394546802442240 410986252544000 419730640896000 431535565171200 460304602849280 469698574336000 489685747712000 493183503052800 539419456464000 552365523419136 563638289203200 575380753561600 587622897254400 616479378816000 657578004070400 690456904273920 704547861504000 719225941952000 734528621568000 789093604884480 821972505088000 863071130342400 920609205698560 939397148672000 979371495424000 986367006105600 1078838912928000 1104731046838272 1150761507123200 1232958757632000 1315156008140800 1380913808547840 1409095723008000 1438451883904000 1469057243136000 1643945010176000 1726142260684800 1841218411397120 1972734012211200 2157677825856000 2301523014246400 2465917515264000 2761827617095680 2818191446016000 2876903767808000 2938114486272000 3287890020352000 3452284521369600 3945468024422400 4315355651712000 4603046028492800 4931835030528000 5523655234191360 5753807535616000 6575780040704000 6904569042739200 8630711303424000 9206092056985600 9863670061056000 11507615071232000 13809138085478400 17261422606848000 19727340122112000 23015230142464000 27618276170956800 34522845213696000 46030460284928000 69045690427392000 138091380854784000
- Sum of all divisors σ(n): 546213041219139840
- Sum of proper divisors (its aliquot sum) s(n): 408121660364355840
- 138091380854784000 is an abundant number, because the sum of its proper divisors (408121660364355840) is greater than itself. Its abundance is 270030279509571840
Bases of 138091380854784000
- Binary: 1111010101001100101100001000101100110010010000000000000002
- Hexadecimal: 0x1EA996116648000
- Base-36: 11RPB4L754AO
Squares and roots of 138091380854784000
- 138091380854784000 squared (1380913808547840002) is 19069229466381005054495686656000000
- 138091380854784000 cubed (1380913808547840003) is 2633296228849288833953305598876666302562304000000000
-
The
square root of 138091380854784000 is 371606486.5617714161 -
The
cube root of 138091380854784000 is 516878.9638865413
Scales and comparisons
How big is 138091380854784000?- 138,091,380,854,784,000 seconds is equal to 4,390,878,766 years, 25 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,091,380,854,784,000 would take you about thirteen billion, one hundred seventy-two million, six hundred thirty-six thousand, two hundred ninety-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 138091380854784000 cubic inches would be around 43073.2 feet tall.
Recreational maths with 138091380854784000
- 138091380854784000 backwards is 000487458083190831
- The number of decimal digits it has is: 18
- The sum of 138091380854784000's digits is 69
- More coming soon!
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"Number 138091380854784000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138091380854784000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138091380854784000/
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The information we have on file for 138091380854784000 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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