13944128400
13,944,128,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13944128400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
13944128400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13944128400:
24 × 33 × 52 × 892 × 163
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 89 × 89 × 163)See below for interesting mathematical facts about the number 13944128400 from the Numbermatics database.
Names of 13944128400
- Cardinal: 13944128400 can be written as Thirteen billion, nine hundred forty-four million, one hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.39441284 × 1010
Factors of 13944128400
Divisors of 13944128400
- Number of divisors d(n): 360
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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 36 40 45 48 50 54 60 72 75 80 89 90 100 108 120 135 144 150 163 178 180 200 216 225 240 267 270 300 326 356 360 400 432 445 450 489 534 540 600 652 675 712 720 801 815 890 900 978 1068 1080 1200 1304 1335 1350 1424 1467 1602 1630 1780 1800 1956 2136 2160 2225 2403 2445 2608 2670 2700 2934 3204 3260 3560 3600 3912 4005 4075 4272 4401 4450 4806 4890 5340 5400 5868 6408 6520 6675 7120 7335 7824 7921 8010 8150 8802 8900 9612 9780 10680 10800 11736 12015 12225 12816 13040 13350 14507 14670 15842 16020 16300 17604 17800 19224 19560 20025 21360 22005 23472 23763 24030 24450 26700 29014 29340 31684 32040 32600 35208 35600 36675 38448 39120 39605 40050 43521 44010 47526 48060 48900 53400 58028 58680 60075 63368 64080 65200 70416 71289 72535 73350 79210 80100 87042 88020 95052 96120 97800 106800 110025 116056 117360 118815 120150 126736 130563 142578 145070 146700 158420 160200 174084 176040 190104 192240 195600 198025 213867 217605 220050 232112 237630 240300 261126 285156 290140 293400 316840 320400 348168 352080 356445 362675 380208 391689 396050 427734 435210 440100 475260 480600 522252 570312 580280 586800 594075 633680 652815 696336 712890 725350 783378 792100 855468 870420 880200 950520 961200 1044504 1069335 1088025 1140624 1160560 1188150 1291123 1305630 1425780 1450700 1566756 1584200 1710936 1740840 1760400 1782225 1901040 1958445 2089008 2138670 2176050 2376300 2582246 2611260 2851560 2901400 3133512 3168400 3264075 3421872 3481680 3564450 3873369 3916890 4277340 4352100 4752600 5164492 5222520 5346675 5703120 5802800 6267024 6455615 6528150 7128900 7746738 7833780 8554680 8704200 9505200 9792225 10328984 10445040 10693350 11620107 12911230 13056300 14257800 15493476 15667560 17109360 17408400 19366845 19584450 20657968 21386700 23240214 25822460 26112600 28515600 30986952 31335120 32278075 34860321 38733690 39168900 42773400 46480428 51644920 52225200 58100535 61973904 64556150 69720642 77467380 78337800 85546800 92960856 96834225 103289840 116201070 129112300 139441284 154934760 156675600 174301605 185921712 193668450 232402140 258224600 278882568 290502675 309869520 348603210 387336900 464804280 516449200 557765136 581005350 697206420 774673800 871508025 929608560 1162010700 1394412840 1549347600 1743016050 2324021400 2788825680 3486032100 4648042800 6972064200 13944128400
- Sum of all divisors σ(n): 50502625760
- Sum of proper divisors (its aliquot sum) s(n): 36558497360
- 13944128400 is an abundant number, because the sum of its proper divisors (36558497360) is greater than itself. Its abundance is 22614368960
Bases of 13944128400
- Binary: 11001111110010001010000011100100002
- Hexadecimal: 0x33F228390
- Base-36: 6ELZ2C0
Squares and roots of 13944128400
- 13944128400 squared (139441284002) is 194438716835686560000
- 13944128400 cubed (139441284003) is 2711278433488055094794304000000
-
The
square root of 13944128400 is 118085.2590292285 -
The
cube root of 13944128400 is 2406.9318347527
Scales and comparisons
How big is 13944128400?- 13,944,128,400 seconds is equal to 443 years, 19 weeks, 5 days, 9 hours.
-
To count from 1 to 13,944,128,400 would take you about eight hundred eighty-six 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 13944128400 cubic inches would be around 200.6 feet tall.
Recreational maths with 13944128400
- 13944128400 backwards is 00482144931
- 13944128400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13944128400's digits is 36
- More coming soon!
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