138407431344
138,407,431,344 is an even composite number composed of five prime numbers multiplied together.
138407431344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 138407431344:
24 × 3 × 74 × 13 × 92381
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 13 × 92381)See below for interesting mathematical facts about the number 138407431344 from the Numbermatics database.
Names of 138407431344
- Cardinal: 138407431344 can be written as One hundred thirty-eight billion, four hundred seven million, four hundred thirty-one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38407431344 × 1011
Factors of 138407431344
Divisors of 138407431344
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1092 1176 1274 1372 1456 1911 2058 2184 2352 2401 2548 2744 3822 4116 4368 4459 4802 5096 5488 7203 7644 8232 8918 9604 10192 13377 14406 15288 16464 17836 19208 26754 28812 30576 31213 35672 38416 53508 57624 62426 71344 92381 93639 107016 115248 124852 184762 187278 214032 249704 277143 369524 374556 499408 554286 646667 739048 749112 1108572 1200953 1293334 1478096 1498224 1940001 2217144 2401906 2586668 3602859 3880002 4434288 4526669 4803812 5173336 7205718 7760004 8406671 9053338 9607624 10346672 13580007 14411436 15520008 16813342 18106676 19215248 25220013 27160014 28822872 31040016 31686683 33626684 36213352 50440026 54320028 57645744 58846697 63373366 67253368 72426704 95060049 100880052 108640056 117693394 126746732 134506736 176540091 190120098 201760104 217280112 221806781 235386788 253493464 353080182 380240196 403520208 411926879 443613562 470773576 506986928 665420343 706160364 760480392 823853758 887227124 941547152 1235780637 1330840686 1412320728 1520960784 1647707516 1774454248 2471561274 2661681372 2824641456 2883488153 3295415032 3548908496 4943122548 5323362744 5766976306 6590830064 8650464459 9886245096 10646725488 11533952612 17300928918 19772490192 23067905224 34601857836 46135810448 69203715672 138407431344
- Sum of all divisors σ(n): 449210800752
- Sum of proper divisors (its aliquot sum) s(n): 310803369408
- 138407431344 is an abundant number, because the sum of its proper divisors (310803369408) is greater than itself. Its abundance is 172395938064
Bases of 138407431344
- Binary: 100000001110011011100111001100101100002
- Hexadecimal: 0x2039B9CCB0
- Base-36: 1RL07LIO
Squares and roots of 138407431344
- 138407431344 squared (1384074313442) is 19156617051244073646336
- 138407431344 cubed (1384074313443) is 2651418159303363852992129657155584
-
The
square root of 138407431344 is 372031.4924089087 -
The
cube root of 138407431344 is 5172.7299132715
Scales and comparisons
How big is 138407431344?- 138,407,431,344 seconds is equal to 4,400 years, 48 weeks, 1 day, 20 hours, 42 minutes, 24 seconds.
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To count from 1 to 138,407,431,344 would take you about eight thousand, eight hundred one 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 138407431344 cubic inches would be around 431.1 feet tall.
Recreational maths with 138407431344
- 138407431344 backwards is 443134704831
- 138407431344 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138407431344's digits is 42
- More coming soon!
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