138010149654048
138,010,149,654,048 is an even composite number composed of six prime numbers multiplied together.
138010149654048 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138010149654048:
25 × 33 × 7 × 37 × 4481 × 137633
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 37 × 4481 × 137633)See below for interesting mathematical facts about the number 138010149654048 from the Numbermatics database.
Names of 138010149654048
- Cardinal: 138010149654048 can be written as One hundred thirty-eight trillion, ten billion, one hundred forty-nine million, six hundred fifty-four thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38010149654048 × 1014
Factors of 138010149654048
Divisors of 138010149654048
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 54 56 63 72 74 84 96 108 111 112 126 144 148 168 189 216 222 224 252 259 288 296 333 336 378 432 444 504 518 592 666 672 756 777 864 888 999 1008 1036 1184 1332 1512 1554 1776 1998 2016 2072 2331 2664 3024 3108 3552 3996 4144 4481 4662 5328 6048 6216 6993 7992 8288 8962 9324 10656 12432 13443 13986 15984 17924 18648 24864 26886 27972 31367 31968 35848 37296 40329 53772 55944 62734 71696 74592 80658 94101 107544 111888 120987 125468 137633 143392 161316 165797 188202 215088 223776 241974 250936 275266 282303 322632 331594 376404 412899 430176 483948 497391 501872 550532 564606 645264 663188 752808 825798 846909 963431 967896 994782 1003744 1101064 1129212 1160579 1238697 1290528 1326376 1492173 1505616 1651596 1693818 1926862 1935792 1989564 2202128 2258424 2321158 2477394 2652752 2890293 2984346 3011232 3303192 3387636 3481737 3716091 3853724 3871584 3979128 4404256 4476519 4516848 4642316 4954788 5092421 5305504 5780586 5968692 6606384 6775272 6963474 7432182 7707448 7958256 8670879 8953038 9033696 9284632 9909576 10184842 10445211 11561172 11937384 13212768 13550544 13926948 14864364 15277263 15414896 15916512 17341758 17906076 18569264 19819152 20369684 20890422 23122344 23874768 26012637 27101088 27853896 29728728 30554526 30829792 31335633 34683516 35646947 35812152 37138528 39638304 40739368 41780844 45831789 46244688 47749536 52025274 55707792 59457456 61109052 62671266 69367032 71293894 71624304 81478736 83561688 91663578 92489376 104050548 106940841 111415584 118914912 122218104 125342532 137495367 138734064 142587788 143248608 162957472 167123376 183327156 208101096 213881682 244436208 250685064 274990734 277468128 285175576 320822523 334246752 366654312 416202192 427763364 488872416 501370128 549981468 570351152 616733473 641645046 733308624 832404384 855526728 962467569 1002740256 1099962936 1140702304 1233466946 1283290092 1466617248 1711053456 1850200419 1924935138 2199925872 2466933892 2566580184 3422106912 3700400838 3849870276 4317134311 4399851744 4933867784 5133160368 5550601257 7400801676 7699740552 8634268622 9867735568 10266320736 11101202514 12951402933 14801603352 15399481104 16651803771 17268537244 19735471136 22202405028 22819138501 25902805866 29603206704 30798962208 33303607542 34537074488 38854208799 44404810056 45638277002 51805611732 59206413408 66607215084 68457415503 69074148976 77708417598 88809620112 91276554004 103611223464 116562626397 133214430168 136914831006 138148297952 155416835196 159733969507 177619240224 182553108008 205372246509 207222446928 233125252794 266428860336 273829662012 310833670392 319467939014 365106216016 410744493018 414444893856 466250505588 479201908521 532857720672 547659324024 616116739527 621667340784 638935878028 730212432032 821488986036 932501011176 958403817042 1095318648048 1232233479054 1243334681568 1277871756056 1437605725563 1642977972072 1865002022352 1916807634084 2190637296096 2464466958108 2555743512112 2875211451126 3285955944144 3730004044704 3833615268168 4312817176689 4928933916216 5111487024224 5750422902252 6571911888288 7667230536336 8625634353378 9857867832432 11500845804504 15334461072672 17251268706756 19715735664864 23001691609008 34502537413512 46003383218016 69005074827024 138010149654048
- Sum of all divisors σ(n): 472576050455040
- Sum of proper divisors (its aliquot sum) s(n): 334565900800992
- 138010149654048 is an abundant number, because the sum of its proper divisors (334565900800992) is greater than itself. Its abundance is 196555751146944
Bases of 138010149654048
- Binary: 111110110000100111111011111001000001110001000002
- Hexadecimal: 0x7D84FDF20E20
- Base-36: 1CX4ZJSCO0
Squares and roots of 138010149654048
- 138010149654048 squared (1380101496540482) is 19046801407532725294082786304
- 138010149654048 cubed (1380101496540483) is 2628651912684523507206398069294457512558592
-
The
square root of 138010149654048 is 11747772.1144925177 -
The
cube root of 138010149654048 is 51677.7593972193
Scales and comparisons
How big is 138010149654048?- 138,010,149,654,048 seconds is equal to 4,388,295 years, 45 weeks, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 138,010,149,654,048 would take you about ten million, nine hundred seventy thousand, seven hundred thirty-nine 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 138010149654048 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138010149654048
- 138010149654048 backwards is 840456941010831
- 138010149654048 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138010149654048's digits is 54
- More coming soon!
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