138440320093428864
138,440,320,093,428,864 is an even composite number composed of five prime numbers multiplied together.
138440320093428864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138440320093428864:
27 × 3 × 73 × 19 × 55320188263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 19 × 55320188263)See below for interesting mathematical facts about the number 138440320093428864 from the Numbermatics database.
Names of 138440320093428864
- Cardinal: 138440320093428864 can be written as One hundred thirty-eight quadrillion, four hundred forty trillion, three hundred twenty billion, ninety-three million, four hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38440320093428864 × 1017
Factors of 138440320093428864
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 55320188294
Divisors of 138440320093428864
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 266 294 304 336 343 384 392 399 448 456 532 588 608 672 686 784 798 896 912 931 1029 1064 1176 1216 1344 1372 1568 1596 1824 1862 2058 2128 2352 2432 2688 2744 2793 3136 3192 3648 3724 4116 4256 4704 5488 5586 6272 6384 6517 7296 7448 8232 8512 9408 10976 11172 12768 13034 14896 16464 17024 18816 19551 21952 22344 25536 26068 29792 32928 39102 43904 44688 51072 52136 59584 65856 78204 89376 104272 119168 131712 156408 178752 208544 312816 357504 417088 625632 834176 1251264 2502528 55320188263 110640376526 165960564789 221280753052 331921129578 387241317841 442561506104 663842259156 774482635682 885123012208 1051083576997 1161723953523 1327684518312 1548965271364 1770246024416 2102167153994 2323447907046 2655369036624 2710689224887 3097930542728 3153250730991 3540492048832 4204334307988 4646895814092 5310738073248 5421378449774 6195861085456 6306501461982 7080984097664 7357585038979 8132067674661 8408668615976 9293791628184 10621476146496 10842756899548 12391722170912 12613002923964 14715170077958 16264135349322 16817337231952 18587583256368 18974824574209 21242952292992 21685513799096 22072755116937 24783444341824 25226005847928 29430340155916 32528270698644 33634674463904 37175166512736 37949649148418 43371027598192 44145510233874 49566888683648 50452011695856 51503095272853 56924473722627 58860680311832 65056541397288 67269348927808 74350333025472 75899298296836 86742055196384 88291020467748 100904023391712 103006190545706 113848947445254 117721360623664 130113082794576 134538697855616 148700666050944 151798596593672 154509285818559 173484110392768 176582040935496 201808046783424 206012381091412 227697894890508 235442721247328 260226165589152 303597193187344 309018571637118 346968220785536 353164081870992 360521666909971 403616093566848 412024762182824 455395789781016 470885442494656 520452331178304 607194386374688 618037143274236 706328163741984 721043333819942 824049524365648 910791579562032 941770884989312 1040904662356608 1081565000729913 1214388772749376 1236074286548472 1412656327483968 1442086667639884 1648099048731296 1821583159124064 2163130001459826 2428777545498752 2472148573096944 2825312654967936 2884173335279768 3296198097462592 3643166318248128 4326260002919652 4944297146193888 5768346670559536 6592396194925184 7286332636496256 8652520005839304 9888594292387776 11536693341119072 17305040011678608 19777188584775552 23073386682238144 34610080023357216 46146773364476288 69220160046714432 138440320093428864
- Sum of all divisors σ(n): 451412736234240000
- Sum of proper divisors (its aliquot sum) s(n): 312972416140811136
- 138440320093428864 is an abundant number, because the sum of its proper divisors (312972416140811136) is greater than itself. Its abundance is 174532096047382272
Bases of 138440320093428864
- Binary: 1111010111101011010111100110101011100001010011100100000002
- Hexadecimal: 0x1EBD6BCD5C29C80
- Base-36: 11V4ZX28HJEO
Squares and roots of 138440320093428864
- 138440320093428864 squared (1384403200934288642) is 19165722227571043667521912628330496
- 138440320093428864 cubed (1384403200934288643) is 2653308720006679763527219280429080923970892457836544
-
The
square root of 138440320093428864 is 372075691.3497962769 -
The
cube root of 138440320093428864 is 517313.9600195857
Scales and comparisons
How big is 138440320093428864?- 138,440,320,093,428,864 seconds is equal to 4,401,973,954 years, 49 weeks, 20 hours, 54 minutes, 24 seconds.
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To count from 1 to 138,440,320,093,428,864 would take you about thirteen billion, two hundred five million, nine hundred twenty-one thousand, eight hundred sixty-four 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 138440320093428864 cubic inches would be around 43109.5 feet tall.
Recreational maths with 138440320093428864
- 138440320093428864 backwards is 468824390023044831
- The number of decimal digits it has is: 18
- The sum of 138440320093428864's digits is 69
- More coming soon!
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