138680837862400
138,680,837,862,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138680837862400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
138680837862400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 138680837862400:
210 × 52 × 61 × 349 × 254461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 61 × 349 × 254461)See below for interesting mathematical facts about the number 138680837862400 from the Numbermatics database.
Names of 138680837862400
- Cardinal: 138680837862400 can be written as One hundred thirty-eight trillion, six hundred eighty billion, eight hundred thirty-seven million, eight hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.386808378624 × 1014
Factors of 138680837862400
Divisors of 138680837862400
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 256 305 320 349 400 488 512 610 640 698 800 976 1024 1220 1280 1396 1525 1600 1745 1952 2440 2560 2792 3050 3200 3490 3904 4880 5120 5584 6100 6400 6980 7808 8725 9760 11168 12200 12800 13960 15616 17450 19520 21289 22336 24400 25600 27920 31232 34900 39040 42578 44672 48800 55840 62464 69800 78080 85156 89344 97600 106445 111680 139600 156160 170312 178688 195200 212890 223360 254461 279200 312320 340624 357376 390400 425780 446720 508922 532225 558400 681248 780800 851560 893440 1017844 1064450 1116800 1272305 1362496 1561600 1703120 1786880 2035688 2128900 2233600 2544610 2724992 3406240 4071376 4257800 4467200 5089220 5449984 6361525 6812480 8142752 8515600 8934400 10178440 10899968 12723050 13624960 15522121 16285504 17031200 20356880 21799936 25446100 27249920 31044242 32571008 34062400 40713760 50892200 54499840 62088484 65142016 68124800 77610605 81427520 88806889 101784400 108999680 124176968 130284032 136249600 155221210 162855040 177613778 203568800 248353936 260568064 272499200 310442420 325710080 355227556 388053025 407137600 444034445 496707872 544998400 620884840 651420160 710455112 776106050 814275200 888068890 993415744 1241769680 1302840320 1420910224 1552212100 1628550400 1776137780 1986831488 2220172225 2483539360 2841820448 3104424200 3257100800 3552275560 3973662976 4440344450 4967078720 5417220229 5683640896 6208848400 6514201600 7104551120 7947325952 8880688900 9934157440 10834440458 11367281792 12417696800 14209102240 15894651904 17761377800 19868314880 21668880916 22734563584 24835393600 27086101145 28418204480 35522755600 39736629760 43337761832 45469127168 49670787200 54172202290 56836408960 71045511200 79473259520 86675523664 90938254336 99341574400 108344404580 113672817920 135430505725 142091022400 173351047328 198683148800 216688809160 227345635840 270861011450 284182044800 346702094656 397366297600 433377618320 454691271680 541722022900 568364089600 693404189312 866755236640 1083444045800 1136728179200 1386808378624 1733510473280 2166888091600 2273456358400 2773616757248 3467020946560 4333776183200 5547233514496 6934041893120 8667552366400 13868083786240 17335104732800 27736167572480 34670209465600 69340418931200 138680837862400
- Sum of all divisors σ(n): 350398474407800
- Sum of proper divisors (its aliquot sum) s(n): 211717636545400
- 138680837862400 is an abundant number, because the sum of its proper divisors (211717636545400) is greater than itself. Its abundance is 73036798683000
Bases of 138680837862400
- Binary: 111111000100001001001100001001111110100000000002
- Hexadecimal: 0x7E212613F400
- Base-36: 1D5P3I8A9S
Squares and roots of 138680837862400
- 138680837862400 squared (1386808378624002) is 19232374790217277401333760000
- 138680837862400 cubed (1386808378624003) is 2667161849991031460961530784067354624000000
-
The
square root of 138680837862400 is 11776282.8542116801 -
The
cube root of 138680837862400 is 51761.3369935741
Scales and comparisons
How big is 138680837862400?- 138,680,837,862,400 seconds is equal to 4,409,621 years, 35 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,680,837,862,400 would take you about eleven million, twenty-four thousand and fifty-four 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 138680837862400 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138680837862400
- 138680837862400 backwards is 004268738086831
- 138680837862400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138680837862400's digits is 64
- More coming soon!
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