138358840767604128
138,358,840,767,604,128 is an even composite number composed of three prime numbers multiplied together.
138358840767604128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138358840767604128:
25 × 331 × 7
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7)See below for interesting mathematical facts about the number 138358840767604128 from the Numbermatics database.
Names of 138358840767604128
- Cardinal: 138358840767604128 can be written as One hundred thirty-eight quadrillion, three hundred fifty-eight trillion, eight hundred forty billion, seven hundred sixty-seven million, six hundred four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38358840767604128 × 1017
Factors of 138358840767604128
Divisors of 138358840767604128
- 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 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 729 756 864 972 1008 1134 1296 1458 1512 1701 1944 2016 2187 2268 2592 2916 3024 3402 3888 4374 4536 5103 5832 6048 6561 6804 7776 8748 9072 10206 11664 13122 13608 15309 17496 18144 19683 20412 23328 26244 27216 30618 34992 39366 40824 45927 52488 54432 59049 61236 69984 78732 81648 91854 104976 118098 122472 137781 157464 163296 177147 183708 209952 236196 244944 275562 314928 354294 367416 413343 472392 489888 531441 551124 629856 708588 734832 826686 944784 1062882 1102248 1240029 1417176 1469664 1594323 1653372 1889568 2125764 2204496 2480058 2834352 3188646 3306744 3720087 4251528 4408992 4782969 4960116 5668704 6377292 6613488 7440174 8503056 9565938 9920232 11160261 12754584 13226976 14348907 14880348 17006112 19131876 19840464 22320522 25509168 28697814 29760696 33480783 38263752 39680928 43046721 44641044 51018336 57395628 59521392 66961566 76527504 86093442 89282088 100442349 114791256 119042784 129140163 133923132 153055008 172186884 178564176 200884698 229582512 258280326 267846264 301327047 344373768 357128352 387420489 401769396 459165024 516560652 535692528 602654094 688747536 774840978 803538792 903981141 1033121304 1071385056 1162261467 1205308188 1377495072 1549681956 1607077584 1807962282 2066242608 2324522934 2410616376 2711943423 3099363912 3214155168 3486784401 3615924564 4132485216 4649045868 4821232752 5423886846 6198727824 6973568802 7231849128 8135830269 9298091736 9642465504 10460353203 10847773692 12397455648 13947137604 14463698256 16271660538 18596183472 20920706406 21695547384 24407490807 27894275208 28927396512 31381059609 32543321076 37192366944 41841412812 43391094768 48814981614 55788550416 62762119218 65086642152 73222472421 83682825624 86782189536 94143178827 97629963228 111577100832 125524238436 130173284304 146444944842 167365651248 188286357654 195259926456 219667417263 251048476872 260346568608 282429536481 292889889684 334731302496 376572715308 390519852912 439334834526 502096953744 564859072962 585779779368 659002251789 753145430616 781039705824 847288609443 878669669052 1004193907488 1129718145924 1171559558736 1318004503578 1506290861232 1694577218886 1757339338104 1977006755367 2259436291848 2343119117472 2541865828329 2636009007156 3012581722464 3389154437772 3514678676208 3954013510734 4518872583696 5083731656658 5272018014312 5931020266101 6778308875544 7029357352416 7625597484987 7908027021468 9037745167392 10167463313316 10544036028624 11862040532202 13556617751088 15251194969974 15816054042936 17793060798303 20334926626632 21088072057248 22876792454961 23724081064404 27113235502176 30502389939948 31632108085872 35586121596606 40669853253264 45753584909922 47448162128808 53379182394909 61004779879896 63264216171744 68630377364883 71172243193212 81339706506528 91507169819844 94896324257616 106758364789818 122009559759792 137260754729766 142344486386424 160137547184727 183014339639688 189792648515232 205891132094649 213516729579636 244019119519584 274521509459532 284688972772848 320275094369454 366028679279376 411782264189298 427033459159272 480412641554181 549043018919064 569377945545696 617673396283947 640550188738908 732057358558752 823564528378596 854066918318544 960825283108362 1098086037838128 1235346792567894 1281100377477816 1441237924662543 1647129056757192 1708133836637088 1921650566216724 2196172075676256 2470693585135788 2562200754955632 2882475849325086 3294258113514384 3843301132433448 4323713773987629 4941387170271576 5124401509911264 5764951698650172 6588516227028768 7686602264866896 8647427547975258 9882774340543152 11529903397300344 15373204529733792 17294855095950516 19765548681086304 23059806794600688 34589710191901032 46119613589201376 69179420383802064 138358840767604128
- Sum of all divisors σ(n): 466961087590663680
- Sum of proper divisors (its aliquot sum) s(n): 328602246823059552
- 138358840767604128 is an abundant number, because the sum of its proper divisors (328602246823059552) is greater than itself. Its abundance is 190243406055455424
Bases of 138358840767604128
- Binary: 1111010111000110010100001111100110111110011100101101000002
- Hexadecimal: 0x1EB8CA1F37CE5A0
- Base-36: 11UC45Z5MI00
Squares and roots of 138358840767604128
- 138358840767604128 squared (1383588407676041282) is 19143168818555234047799137322640384
- 138358840767604128 cubed (1383588407676041283) is 2648626646353848066905873844057996391092186617905152
-
The
square root of 138358840767604128 is 371966182.2902777381 -
The
cube root of 138358840767604128 is 517212.4513824799
Scales and comparisons
How big is 138358840767604128?- 138,358,840,767,604,128 seconds is equal to 4,399,383,164 years, 21 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,358,840,767,604,128 would take you about thirteen billion, one hundred ninety-eight million, one hundred forty-nine thousand, four hundred ninety-three 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 138358840767604128 cubic inches would be around 43101 feet tall.
Recreational maths with 138358840767604128
- 138358840767604128 backwards is 821406767048853831
- 138358840767604128 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138358840767604128's digits is 81
- More coming soon!
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