138638993519520

Names of 138638993519520

• Cardinal: 138638993519520 can be written as One hundred thirty-eight trillion, six hundred thirty-eight billion, nine hundred ninety-three million, five hundred nineteen thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3863899351952 × 10¹⁴

Factors of 138638993519520

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 189895642

Divisors of 138638993519520

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 169 180 195 208 216 234 240 260 270 288 312 338 351 360 390 416 432 468 480 507 520 540 585 624 676 702 720 780 845 864 936 1014 1040 1080 1170 1248 1352 1404 1440 1521 1560 1690 1755 1872 2028 2080 2160 2340 2535 2704 2808 3042 3120 3380 3510 3744 4056 4320 4563 4680 5070 5408 5616 6084 6240 6760 7020 7605 8112 9126 9360 10140 11232 12168 13520 14040 15210 16224 18252 18720 20280 22815 24336 27040 28080 30420 36504 40560 45630 48672 56160 60840 73008 81120 91260 121680 146016 182520 243360 365040 730080 189895619 379791238 569686857 759582476 949478095 1139373714 1519164952 1709060571 1898956190 2278747428 2468643047 2848434285 3038329904 3418121142 3797912380 4557494856 4937286094 5127181713 5696868570 6076659808 6836242284 7405929141 7595824760 8545302855 9114989712 9874572188 10254363426 11393737140 12343215235 13672484568 14811858282 15191649520 17090605710 18229979424 19749144376 20508726852 22217787423 22787474280 24686430470 25635908565 27344969136 29623716564 30383299040 32092359611 34181211420 37029645705 39498288752 41017453704 44435574846 45574948560 49372860940 51271817130 54689938272 59247433128 64184719222 66653362269 68362422840 74059291410 78996577504 82034907408 88871149692 91149897120 96277078833 98745721880 102543634260 111088937115 118494866256 128369438444 133306724538 136724845680 148118582820 160461798055 164069814816 177742299384 192554157666 197491443760 205087268520 222177874230 236989732512 256738876888 266613449076 273449691360 288831236499 296237165640 320923596110 333266811345 355484598768 385108315332 394982887520 410174537040 444355748460 481385394165 513477753776 533226898152 577662472998 592474331280 641847192220 666533622690 710969197536 770216630664 820349074080 866493709497 888711496920 962770788330 1026955507552 1066453796304 1155324945996 1184948662560 1283694384440 1333067245380 1444156182495 1540433261328 1732987418994 1777422993840 1925541576660 2132907592608 2310649891992 2567388768880 2666134490760 2888312364990 3080866522656 3465974837988 3554845987680 3851083153320 4332468547485 4621299783984 5134777537760 5332268981520 5776624729980 6931949675976 7702166306640 8664937094970 9242599567968 10664537963040 11553249459960 13863899351952 15404332613280 17329874189940 23106498919920 27727798703904 34659748379880 46212997839840 69319496759760 138638993519520
• Sum of all divisors σ(n): 525433584715200
• Sum of proper divisors (its aliquot sum) s(n): 386794591195680
• 138638993519520 is an abundant number, because the sum of its proper divisors (386794591195680) is greater than itself. Its abundance is 248155597676160

Bases of 138638993519520

• Binary: 11111100001011101100111111101011111001110100000₂
• Hexadecimal: 0x7E1767F5F3A0
• Base-36: 1D55VH6SO0

Squares and roots of 138638993519520

• 138638993519520 squared (138638993519520²) is 19220770524105508556621030400
• 138638993519520 cubed (138638993519520³) is 2664748280131644634726116942614144913408000
• The square root of 138638993519520 is 11774506.0838881899
• The cube root of 138638993519520 is 51756.1304655377

Scales and comparisons

• 138,638,993,519,520 seconds is equal to 4,408,291 years, 8 weeks, 13 hours, 12 minutes.
• To count from 1 to 138,638,993,519,520 would take you about eleven million, twenty thousand, seven 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 138638993519520 cubic inches would be around 4313 feet tall.

Recreational maths with 138638993519520

• 138638993519520 backwards is 025915399836831
• 138638993519520 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138638993519520's digits is 72
• More coming soon!