138364446801168

Names of 138364446801168

• Cardinal: 138364446801168 can be written as One hundred thirty-eight trillion, three hundred sixty-four billion, four hundred forty-six million, eight hundred one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38364446801168 × 10¹⁴

Factors of 138364446801168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 657450

Divisors of 138364446801168

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3331 3528 3969 4536 5292 6662 7056 7938 9072 9993 10584 13324 15876 19986 21168 23317 26648 29979 31752 39972 46634 53296 59958 63504 69951 79944 89937 93268 119916 139902 159888 163219 179874 186536 209853 239832 269811 279804 326438 359748 373072 419706 479664 489657 539622 559608 629559 652876 654107 719496 839412 979314 1079244 1119216 1259118 1305752 1308214 1438992 1468971 1678824 1888677 1958628 1962321 2158488 2518236 2611504 2616428 2937942 3357648 3777354 3917256 3924642 4316976 4406913 4578749 5036472 5232856 5875884 5886963 7554708 7834512 7849284 8813826 9157498 10072944 10465712 11751768 11773926 13220739 13736247 15109416 15698568 17627652 17660889 18314996 23503536 23547852 26441478 27472494 30218832 31397136 32051243 35255304 35321778 36629992 41208741 47095704 52882956 52982667 54944988 64102486 70510608 70643556 73259984 82417482 94191408 96153729 105765912 105965334 109889976 123626223 128204972 141287112 164834964 192307458 211531824 211930668 219779952 247252446 256409944 282574224 288461187 329669928 370878669 384614916 423861336 494504892 512819888 576922374 659339856 741757338 769229832 847722672 865383561 989009784 1153844748 1483514676 1538459664 1730767122 1978019568 2178830417 2307689496 2596150683 2967029352 3461534244 4357660834 4615378992 5192301366 5934058704 6536491251 6923068488 8715321668 10384602732 13072982502 13846136976 15251812919 17430643336 19609473753 20769205464 26145965004 30503625838 34861286672 39218947506 41538410928 45755438757 52291930008 58828421259 61007251676 78437895012 91510877514 104583860016 106762690433 117656842518 122014503352 137266316271 156875790024 176485263777 183021755028 213525380866 235313685036 244029006704 274532632542 313751580048 320288071299 352970527554 366043510056 411798948813 427050761732 470627370072 549065265084 640576142598 705941055108 732087020112 823597897626 854101523464 941254740144 960864213897 1098130530168 1235396846439 1281152285196 1411882110216 1647195795252 1708203046928 1921728427794 2196261060336 2470793692878 2562304570392 2823764220432 2882592641691 3294391590504 3843456855588 4941587385756 5124609140784 5765185283382 6588783181008 7686913711176 8647777925073 9883174771512 11530370566764 15373827422352 17295555850146 19766349543024 23060741133528 34591111700292 46121482267056 69182223400584 138364446801168
• Sum of all divisors σ(n): 465989760027792
• Sum of proper divisors (its aliquot sum) s(n): 327625313226624
• 138364446801168 is an abundant number, because the sum of its proper divisors (327625313226624) is greater than itself. Its abundance is 189260866425456

Bases of 138364446801168

• Binary: 11111011101011101111011101100110111110100010000₂
• Hexadecimal: 0x7DD77BB37D10
• Base-36: 1D1NQZ5T00

Squares and roots of 138364446801168

• 138364446801168 squared (138364446801168²) is 19144720138593249587726164224
• 138364446801168 cubed (138364446801168³) is 2648948611139635342541935698258175443013632
• The square root of 138364446801168 is 11762841.7825442165
• The cube root of 138364446801168 is 51721.9436772031

Scales and comparisons

• 138,364,446,801,168 seconds is equal to 4,399,561 years, 21 weeks, 5 days, 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,364,446,801,168 would take you about ten million, nine hundred ninety-eight thousand, nine hundred 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 138364446801168 cubic inches would be around 4310.2 feet tall.

Recreational maths with 138364446801168

• 138364446801168 backwards is 861108644463831
• 138364446801168 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138364446801168's digits is 63
• More coming soon!