138938178816
138,938,178,816 is an even composite number composed of six prime numbers multiplied together.
138938178816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138938178816:
28 × 32 × 172 × 31 × 53 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 31 × 53 × 127)See below for interesting mathematical facts about the number 138938178816 from the Numbermatics database.
Names of 138938178816
- Cardinal: 138938178816 can be written as One hundred thirty-eight billion, nine hundred thirty-eight million, one hundred seventy-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38938178816 × 1011
Factors of 138938178816
Divisors of 138938178816
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 53 62 64 68 72 93 96 102 106 124 127 128 136 144 153 159 186 192 204 212 248 254 256 272 279 288 289 306 318 372 381 384 408 424 477 496 508 527 544 558 576 578 612 636 744 762 768 816 848 867 901 954 992 1016 1054 1088 1116 1143 1152 1156 1224 1272 1488 1524 1581 1632 1643 1696 1734 1802 1908 1984 2032 2108 2159 2176 2232 2286 2304 2312 2448 2544 2601 2703 2976 3048 3162 3264 3286 3392 3468 3604 3816 3937 3968 4064 4216 4318 4352 4464 4572 4624 4743 4896 4929 5088 5202 5406 5952 6096 6324 6477 6528 6572 6731 6784 6936 7208 7632 7874 7936 8109 8128 8432 8636 8928 8959 9144 9248 9486 9792 9858 10176 10404 10812 11811 11904 12192 12648 12954 13056 13144 13462 13568 13872 14416 14787 15264 15317 15748 16218 16256 16864 17272 17856 17918 18288 18496 18972 19431 19584 19716 20193 20352 20808 21624 23622 23808 24384 25296 25908 26288 26877 26924 27744 27931 28832 29574 30528 30634 31496 32436 32512 33728 34544 35433 35712 35836 36576 36703 36992 37944 38862 39168 39432 40386 40704 41616 43248 45951 47244 48768 50592 51816 52576 53754 53848 55488 55862 57664 59148 60579 61056 61268 62992 64872 66929 67456 69088 70866 71424 71672 73152 73406 73984 75888 77724 78864 80631 80772 83232 83793 86496 91902 94488 97536 101184 103632 105152 107508 107696 110109 110976 111724 114427 115328 118296 121158 122112 122536 125984 129744 133858 134912 137853 138176 141732 143344 146304 146812 151776 155448 157728 161262 161544 166464 167586 172992 183804 188976 200787 202368 207264 208661 210304 215016 215392 220218 221952 223448 228854 230656 236592 242316 245072 251379 251968 259488 267716 275706 276352 283464 286688 292608 293624 303552 310896 315456 322524 323088 330327 332928 335172 343281 345984 367608 377952 401574 404736 414528 417322 420608 430032 430784 440436 446896 457708 473184 474827 484632 490144 502758 503936 518976 535432 551412 552704 566928 573376 587248 602361 607104 621792 625983 630912 645048 646176 660654 665856 670344 686562 691968 735216 755904 803148 829056 834644 860064 861568 880872 893792 915416 946368 949654 969264 980288 1005516 1007872 1029843 1037952 1070864 1102824 1133856 1137793 1146752 1174496 1204722 1214208 1243584 1251966 1261824 1290096 1292352 1321308 1340688 1373124 1424481 1470432 1511808 1606296 1658112 1669288 1720128 1723136 1761744 1787584 1830832 1877949 1892736 1899308 1938528 1945259 1960576 2011032 2059686 2075904 2141728 2205648 2267712 2275586 2293504 2348992 2409444 2487168 2503932 2580192 2584704 2642616 2681376 2746248 2848962 2940864 3023616 3212592 3338576 3413379 3440256 3523488 3547237 3575168 3661664 3755898 3785472 3798616 3877056 3890518 3921152 4022064 4119372 4273443 4283456 4411296 4535424 4551172 4697984 4818888 4974336 5007864 5160384 5169408 5285232 5362752 5492496 5697924 5835777 5881728 6425184 6677152 6826758 6880512 7046976 7094474 7150336 7323328 7511796 7597232 7754112 7781036 8044128 8238744 8546886 8566912 8822592 9070848 9102344 9395968 9637776 10015728 10240137 10320768 10570464 10641711 10725504 10984992 11395848 11671554 11763456 12850368 13354304 13653516 14093952 14188948 14646656 15023592 15194464 15508224 15562072 16088256 16477488 17093772 17133824 17507331 17645184 18204688 19275552 20031456 20480274 20641536 21140928 21283422 21451008 21969984 22791696 23343108 25700736 26708608 27307032 28187904 28377896 29293312 30047184 30388928 31124144 31925133 32176512 32954976 34187544 35014662 35290368 36409376 38551104 40062912 40960548 42281856 42566844 43939968 45583392 46686216 51401472 53417216 54614064 56755792 60094368 60303029 60777856 62248288 63850266 64353024 65909952 68375088 70029324 72818752 77102208 80125824 81921096 84563712 85133688 87879936 91166784 93372432 109228128 113511584 120188736 120606058 121555712 124496576 127700532 131819904 136750176 140058648 145637504 154204416 160251648 163842192 170267376 180909087 182333568 186744864 218456256 227023168 240377472 241212116 248993152 255401064 263639808 273500352 280117296 291275008 327684384 340534752 361818174 364667136 373489728 436912512 454046336 480754944 482424232 497986304 510802128 542727261 547000704 560234592 655368768 681069504 723636348 746979456 873825024 908092672 964848464 1021604256 1085454522 1094001408 1120469184 1310737536 1362139008 1447272696 1493958912 1929696928 2043208512 2170909044 2240938368 2621475072 2724278016 2894545392 3859393856 4086417024 4341818088 4481876736 5789090784 7718787712 8172834048 8683636176 11578181568 15437575424 17367272352 23156363136 34734544704 46312726272 69469089408 138938178816
- Sum of all divisors σ(n): 451082870784
- Sum of proper divisors (its aliquot sum) s(n): 312144691968
- 138938178816 is an abundant number, because the sum of its proper divisors (312144691968) is greater than itself. Its abundance is 173206513152
Bases of 138938178816
- Binary: 100000010110010101110001011101000000002
- Hexadecimal: 0x20595C5D00
- Base-36: 1RTS7CW0
Squares and roots of 138938178816
- 138938178816 squared (1389381788162) is 19303817532706791161856
- 138938178816 cubed (1389381788163) is 2682037252190652078943517326442496
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The
square root of 138938178816 is 372744.1197604599 -
The
cube root of 138938178816 is 5179.3333918551
Scales and comparisons
How big is 138938178816?- 138,938,178,816 seconds is equal to 4,417 years, 41 weeks, 5 days, 18 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,938,178,816 would take you about eight thousand, eight hundred thirty-five 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 138938178816 cubic inches would be around 431.6 feet tall.
Recreational maths with 138938178816
- 138938178816 backwards is 618871839831
- The number of decimal digits it has is: 12
- The sum of 138938178816's digits is 63
- More coming soon!
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The information we have on file for 138938178816 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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