138816560817936000
138,816,560,817,936,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138816560817936000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138816560817936000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138816560817936000:
27 × 36 × 53 × 1272 × 8592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 127 × 127 × 859 × 859)See below for interesting mathematical facts about the number 138816560817936000 from the Numbermatics database.
Names of 138816560817936000
- Cardinal: 138816560817936000 can be written as One hundred thirty-eight quadrillion, eight hundred sixteen trillion, five hundred sixty billion, eight hundred seventeen million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38816560817936 × 1017
Factors of 138816560817936000
Divisors of 138816560817936000
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 127 128 135 144 150 160 162 180 192 200 216 225 240 243 250 254 270 288 300 320 324 360 375 381 384 400 405 432 450 480 486 500 508 540 576 600 635 640 648 675 720 729 750 762 800 810 859 864 900 960 972 1000 1016 1080 1125 1143 1152 1200 1215 1270 1296 1350 1440 1458 1500 1524 1600 1620 1718 1728 1800 1905 1920 1944 2000 2025 2032 2160 2250 2286 2400 2430 2540 2577 2592 2700 2880 2916 3000 3048 3175 3200 3240 3375 3429 3436 3456 3600 3645 3810 3888 4000 4050 4064 4295 4320 4500 4572 4800 4860 5080 5154 5184 5400 5715 5760 5832 6000 6075 6096 6350 6480 6750 6858 6872 7200 7290 7620 7731 7776 8000 8100 8128 8590 8640 9000 9144 9525 9600 9720 10125 10160 10287 10308 10368 10800 11430 11664 12000 12150 12192 12700 12885 12960 13500 13716 13744 14400 14580 15240 15462 15552 15875 16000 16129 16200 16256 17145 17180 17280 18000 18225 18288 19050 19440 20250 20320 20574 20616 21475 21600 22860 23193 23328 24000 24300 24384 25400 25770 25920 27000 27432 27488 28575 28800 29160 30375 30480 30861 30924 31104 31750 32258 32400 34290 34360 36000 36450 36576 38100 38655 38880 40500 40640 41148 41232 42950 43200 45720 46386 46656 47625 48000 48387 48600 48768 50800 51435 51540 51840 54000 54864 54976 57150 58320 60750 60960 61722 61848 63500 64425 64516 64800 68580 68720 69579 72000 72900 73152 76200 77310 77760 80645 81000 81280 82296 82464 85725 85900 86400 91125 91440 92583 92772 93312 95250 96774 97200 101600 102870 103080 107375 108000 109093 109728 109952 114300 115965 116640 121500 121920 123444 123696 127000 128850 129032 129600 137160 137440 139158 142875 144000 145161 145800 146304 152400 154305 154620 155520 161290 162000 164592 164928 171450 171800 182250 182880 185166 185544 190500 193275 193548 194400 203200 205740 206160 208737 214750 216000 218186 219456 228600 231930 233280 241935 243000 243840 246888 247392 254000 257175 257700 258064 259200 274320 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173520701022420 182173964328000 185088747757248 190420522384000 192800778913800 205654164174720 214223087682000 216900876278025 218608757193600 231360934696560 241000973642250 257067705218400 273260946492000 277633121635872 285630783576000 289201168370700 308481246262080 321334631523000 342756940291200 347041402044840 361501460463375 364347928656000 370177495514496 385601557827600 428446175364000 433801752556050 462721869393120 482001947284500 514135410436800 546521892984000 555266243271744 571261567152000 578402336741400 616962492524160 642669263046000 694082804089680 723002920926750 771203115655200 856892350728000 867603505112100 925443738786240 964003894569000 1028270820873600 1084504381390125 1093043785968000 1110532486543488 1156804673482800 1285338526092000 1388165608179360 1446005841853500 1542406231310400 1713784701456000 1735207010224200 1850887477572480 1928007789138000 2169008762780250 2313609346965600 2570677052184000 2776331216358720 2892011683707000 3084812462620800 3470414020448400 3856015578276000 4338017525560500 4627218693931200 5141354104368000 5552662432717440 5784023367414000 6940828040896800 7712031156552000 8676035051121000 9254437387862400 11568046734828000 13881656081793600 15424062313104000 17352070102242000 23136093469656000 27763312163587200 34704140204484000 46272186939312000 69408280408968000 138816560817936000
- Sum of all divisors σ(n): 522176772293038980
- Sum of proper divisors (its aliquot sum) s(n): 383360211475102980
- 138816560817936000 is an abundant number, because the sum of its proper divisors (383360211475102980) is greater than itself. Its abundance is 244543650657166980
Bases of 138816560817936000
- Binary: 1111011010010110011101101001101000111111010010110100000002
- Hexadecimal: 0x1ED2CED347E9680
- Base-36: 11YUD3NXM000
Squares and roots of 138816560817936000
- 138816560817936000 squared (1388165608179360002) is 19270037557319724309339300096000000
- 138816560817936000 cubed (1388165608179360003) is 2675000340539584388254723534818139523321856000000000
-
The
square root of 138816560817936000 is 372580945.3232089269 -
The
cube root of 138816560817936000 is 517782.1726630443
Scales and comparisons
How big is 138816560817936000?- 138,816,560,817,936,000 seconds is equal to 4,413,937,246 years, 10 weeks, 1 day.
-
To count from 1 to 138,816,560,817,936,000 would take you about thirteen billion, two hundred forty-one million, eight hundred eleven thousand, seven hundred thirty-eight 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 138816560817936000 cubic inches would be around 43148.5 feet tall.
Recreational maths with 138816560817936000
- 138816560817936000 backwards is 000639718065618831
- 138816560817936000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138816560817936000's digits is 72
- More coming soon!
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The information we have on file for 138816560817936000 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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