13838178816
13,838,178,816 is an even composite number composed of six prime numbers multiplied together.
13838178816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13838178816:
29 × 32 × 7 × 11 × 43 × 907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 43 × 907)See below for interesting mathematical facts about the number 13838178816 from the Numbermatics database.
Names of 13838178816
- Cardinal: 13838178816 can be written as Thirteen billion, eight hundred thirty-eight million, one hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.3838178816 × 1010
Factors of 13838178816
Divisors of 13838178816
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 43 44 48 56 63 64 66 72 77 84 86 88 96 99 112 126 128 129 132 144 154 168 172 176 192 198 224 231 252 256 258 264 288 301 308 336 344 352 384 387 396 448 462 473 504 512 516 528 576 602 616 672 688 693 704 768 774 792 896 903 907 924 946 1008 1032 1056 1152 1204 1232 1344 1376 1386 1408 1419 1536 1548 1584 1792 1806 1814 1848 1892 2016 2064 2112 2304 2408 2464 2688 2709 2721 2752 2772 2816 2838 3096 3168 3311 3584 3612 3628 3696 3784 4032 4128 4224 4257 4608 4816 4928 5376 5418 5442 5504 5544 5632 5676 6192 6336 6349 6622 7224 7256 7392 7568 8064 8163 8256 8448 8514 9632 9856 9933 9977 10752 10836 10884 11008 11088 11352 12384 12672 12698 13244 14448 14512 14784 15136 16128 16326 16512 16896 17028 19047 19264 19712 19866 19954 21672 21768 22016 22176 22704 24768 25344 25396 26488 28896 29024 29568 29799 29931 30272 32256 32652 33024 34056 38094 38528 39001 39424 39732 39908 43344 43536 44352 45408 49536 50688 50792 52976 57141 57792 58048 59136 59598 59862 60544 65304 66048 68112 69839 76188 77056 78002 79464 79816 86688 87072 88704 89793 90816 99072 101584 105952 114282 115584 116096 117003 118272 119196 119724 121088 130608 136224 139678 152376 154112 156004 158928 159632 173376 174144 177408 179586 181632 198144 203168 209517 211904 228564 231168 232192 234006 238392 239448 242176 261216 272448 273007 279356 304752 312008 317856 319264 346752 348288 351009 354816 359172 363264 406336 419034 423808 429011 457128 462336 464384 468012 476784 478896 522432 544896 546014 558712 609504 624016 628551 635712 638528 693504 696576 702018 718344 726528 812672 819021 838068 847616 858022 914256 936024 953568 957792 1044864 1089792 1092028 1117424 1219008 1248032 1257102 1271424 1277056 1287033 1387008 1393152 1404036 1436688 1625344 1638042 1676136 1695232 1716044 1828512 1872048 1907136 1915584 2089728 2179584 2184056 2234848 2438016 2457063 2496064 2514204 2542848 2554112 2574066 2808072 2873376 3003077 3250688 3276084 3352272 3432088 3657024 3744096 3814272 3831168 3861099 4179456 4368112 4469696 4876032 4914126 4992128 5028408 5085696 5108224 5148132 5616144 5746752 6006154 6552168 6704544 6864176 7314048 7488192 7628544 7662336 7722198 8736224 8939392 9009231 9752064 9828252 9984256 10056816 10296264 11232288 11493504 12012308 13104336 13409088 13728352 14628096 14976384 15257088 15324672 15444396 17472448 17878784 18018462 19656504 19968512 20113632 20592528 22464576 22987008 24024616 26208672 26818176 27027693 27456704 29256192 29952768 30888792 34944896 35757568 36036924 39313008 40227264 41185056 44929152 45974016 48049232 52417344 53636352 54055386 54913408 59905536 61777584 69889792 72073848 78626016 80454528 82370112 89858304 96098464 104834688 107272704 108110772 109826816 123555168 139779584 144147696 157252032 160909056 164740224 179716608 192196928 209669376 216221544 219653632 247110336 288295392 314504064 321818112 329480448 384393856 419338752 432443088 494220672 576590784 629008128 658960896 768787712 864886176 988441344 1153181568 1258016256 1537575424 1729772352 1976882688 2306363136 3459544704 4612726272 6919089408 13838178816
- Sum of all divisors σ(n): 51006878208
- Sum of proper divisors (its aliquot sum) s(n): 37168699392
- 13838178816 is an abundant number, because the sum of its proper divisors (37168699392) is greater than itself. Its abundance is 23330520576
Bases of 13838178816
- Binary: 11001110001101000111011010000000002
- Hexadecimal: 0x338D1DA00
- Base-36: 6CUW740
Squares and roots of 13838178816
- 13838178816 squared (138381788162) is 191495192943591161856
- 13838178816 cubed (138381788163) is 2649944722357835898960526442496
-
The
square root of 13838178816 is 117635.7888399615 -
The
cube root of 13838178816 is 2400.8202529619
Scales and comparisons
How big is 13838178816?- 13,838,178,816 seconds is equal to 440 years, 4 days, 2 hours, 33 minutes, 36 seconds.
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To count from 1 to 13,838,178,816 would take you about eight hundred eighty 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 13838178816 cubic inches would be around 200.1 feet tall.
Recreational maths with 13838178816
- 13838178816 backwards is 61887183831
- The number of decimal digits it has is: 11
- The sum of 13838178816's digits is 54
- More coming soon!
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