138816399904
138,816,399,904 is an even composite number composed of seven prime numbers multiplied together.
138816399904 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138816399904:
25 × 7 × 132 × 23 × 31 × 37 × 139
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 23 × 31 × 37 × 139)See below for interesting mathematical facts about the number 138816399904 from the Numbermatics database.
Names of 138816399904
- Cardinal: 138816399904 can be written as One hundred thirty-eight billion, eight hundred sixteen million, three hundred ninety-nine thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.38816399904 × 1011
Factors of 138816399904
Divisors of 138816399904
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 31 32 37 46 52 56 62 74 91 92 104 112 124 139 148 161 169 182 184 208 217 224 248 259 278 296 299 322 338 364 368 403 416 434 481 496 518 556 592 598 644 676 713 728 736 806 851 868 962 973 992 1036 1112 1147 1183 1184 1196 1288 1352 1426 1456 1612 1702 1736 1807 1924 1946 2072 2093 2224 2294 2366 2392 2576 2704 2821 2852 2912 3197 3224 3367 3404 3472 3614 3848 3887 3892 4144 4186 4309 4448 4588 4732 4784 4991 5143 5152 5239 5408 5642 5704 5957 6253 6394 6448 6734 6808 6944 7228 7696 7774 7784 8029 8288 8372 8618 9176 9269 9464 9568 9982 10286 10478 11063 11284 11408 11914 12506 12649 12788 12896 13468 13616 14456 14911 15392 15548 15568 16058 16744 17236 18352 18538 18928 19964 20572 20956 22126 22379 22568 22816 23491 23828 25012 25298 25576 26381 26936 27209 27232 28912 29822 30163 31096 31136 32116 33488 34472 36001 36673 36704 37076 37856 39928 41144 41561 41912 43771 44252 44758 45136 46982 47656 50024 50596 51152 52762 53872 54418 56017 57824 59644 60326 62192 64232 64883 66859 66976 68944 72002 73346 74152 77441 79856 82288 83122 83824 87542 88504 89516 90272 93964 95312 99107 100048 101192 102304 104377 105524 107744 108836 112034 118289 119288 120497 120652 124384 128464 129766 133718 137888 143819 144004 146692 148304 154882 159433 159712 164437 164576 166244 167648 175084 177008 179032 184667 187928 190624 193843 198214 200096 202384 208754 211048 217672 224068 236578 238576 240994 241304 256928 259532 267436 287638 288008 290927 293384 296608 309764 318866 328874 332488 342953 350168 354016 358064 369334 375856 387686 392119 396428 404768 417508 422096 435344 448136 468013 473156 477152 481988 482608 519064 534872 540293 575276 576016 581854 586768 619528 637732 657748 664976 685906 693749 700336 716128 728221 738668 751712 775372 784238 792856 828023 835016 843479 844192 869167 870688 896272 936026 946312 963976 965216 1006733 1038128 1069744 1080586 1116031 1150552 1152032 1163708 1173536 1239056 1275464 1288391 1315496 1329952 1356901 1371812 1387498 1400672 1456442 1477336 1537757 1550744 1568476 1585712 1656046 1670032 1686958 1738334 1792544 1872052 1892624 1927952 2013466 2072629 2076256 2139488 2161172 2232062 2301104 2327416 2400671 2478112 2550928 2576782 2630992 2713802 2743624 2774996 2912884 2954672 3075514 3101488 3136952 3171424 3312092 3340064 3373916 3476668 3666959 3744104 3782051 3785248 3855904 4026932 4145258 4322344 4458389 4464124 4602208 4654832 4801342 5097547 5101856 5153564 5261984 5427604 5487248 5549992 5825768 5909344 6084169 6151028 6202976 6273904 6624184 6747832 6953336 7333918 7488208 7564102 8053864 8290516 8644688 8916778 8928248 9018737 9309664 9602684 10195094 10307128 10764299 10855208 10974496 11099984 11651536 12168338 12302056 12547808 13248368 13495664 13906672 14508403 14667836 14976416 15128204 16107728 16581032 16749083 17289376 17833556 17856496 18037474 19205368 19990841 20390188 20614256 21528598 21710416 22199968 23303072 24336676 24604112 25668713 26496736 26944177 26991328 27813344 29016806 29335672 30256408 31208723 32215456 33162064 33498166 35667112 35712992 36074948 38410736 39981682 40780376 41228512 43057196 43420832 47670467 48673352 49208224 51337426 53888354 58033612 58671344 60512816 62417446 66324128 66996332 71334224 72149896 76821472 79963364 81560752 86114392 95340934 97346704 102674852 107776708 116067224 117243581 117342688 121025632 124834892 133992664 139935887 142668448 144299792 159926728 163121504 172228784 188609239 190681868 194693408 205349704 215553416 232134448 234487162 249669784 267985328 279871774 288599584 319853456 333693269 344457568 377218478 381363736 410699408 431106832 464268896 468974324 499339568 535970656 559743548 619716071 639706912 667386538 754436956 762727472 821398816 862213664 937948648 998679136 1119487096 1239432142 1334773076 1508873912 1525454944 1875897296 2238974192 2478864284 2669546152 3017747824 3751794592 4338012497 4477948384 4957728568 5339092304 6035495648 8676024994 9915457136 10678184608 17352049988 19830914272 34704099976 69408199952 138816399904
- Sum of all divisors σ(n): 376837816320
- Sum of proper divisors (its aliquot sum) s(n): 238021416416
- 138816399904 is an abundant number, because the sum of its proper divisors (238021416416) is greater than itself. Its abundance is 99205016512
Bases of 138816399904
- Binary: 100000010100100001101000101010001000002
- Hexadecimal: 0x20521A2A20
- Base-36: 1RRRP7OG
Squares and roots of 138816399904
- 138816399904 squared (1388163999042) is 19269992882307251209216
- 138816399904 cubed (1388163999043) is 2674991038097596990057515826315264
-
The
square root of 138816399904 is 372580.7293782115 -
The
cube root of 138816399904 is 5177.8197259469
Scales and comparisons
How big is 138816399904?- 138,816,399,904 seconds is equal to 4,413 years, 48 weeks, 3 days, 7 hours, 5 minutes, 4 seconds.
-
To count from 1 to 138,816,399,904 would take you about eight thousand, eight hundred twenty-seven 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 138816399904 cubic inches would be around 431.5 feet tall.
Recreational maths with 138816399904
- 138816399904 backwards is 409993618831
- The number of decimal digits it has is: 12
- The sum of 138816399904's digits is 61
- More coming soon!
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