138435985408
138,435,985,408 is an even composite number composed of four prime numbers multiplied together.
138435985408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138435985408:
215 × 73 × 109 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 109 × 113)See below for interesting mathematical facts about the number 138435985408 from the Numbermatics database.
Names of 138435985408
- Cardinal: 138435985408 can be written as One hundred thirty-eight billion, four hundred thirty-five million, nine hundred eighty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38435985408 × 1011
Factors of 138435985408
Divisors of 138435985408
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 109 112 113 128 196 218 224 226 256 343 392 436 448 452 512 686 763 784 791 872 896 904 1024 1372 1526 1568 1582 1744 1792 1808 2048 2744 3052 3136 3164 3488 3584 3616 4096 5341 5488 5537 6104 6272 6328 6976 7168 7232 8192 10682 10976 11074 12208 12317 12544 12656 13952 14336 14464 16384 21364 21952 22148 24416 24634 25088 25312 27904 28672 28928 32768 37387 38759 42728 43904 44296 48832 49268 50176 50624 55808 57344 57856 74774 77518 85456 86219 87808 88592 97664 98536 100352 101248 111616 114688 115712 149548 155036 170912 172438 175616 177184 195328 197072 200704 202496 223232 229376 231424 299096 310072 341824 344876 351232 354368 390656 394144 401408 404992 446464 462848 598192 603533 620144 683648 689752 702464 708736 781312 788288 802816 809984 892928 925696 1196384 1207066 1240288 1367296 1379504 1404928 1417472 1562624 1576576 1605632 1619968 1785856 1851392 2392768 2414132 2480576 2734592 2759008 2809856 2834944 3125248 3153152 3239936 3571712 3702784 4224731 4785536 4828264 4961152 5469184 5518016 5619712 5669888 6250496 6306304 6479872 8449462 9571072 9656528 9922304 10938368 11036032 11239424 11339776 12500992 12612608 12959744 16898924 19142144 19313056 19844608 21876736 22072064 22679552 25001984 25225216 25919488 33797848 38284288 38626112 39689216 43753472 44144128 45359104 50450432 67595696 76568576 77252224 79378432 87506944 88288256 90718208 100900864 135191392 153137152 154504448 158756864 175013888 176576512 181436416 201801728 270382784 306274304 309008896 317513728 353153024 403603456 540765568 612548608 618017792 635027456 706306048 1081531136 1225097216 1236035584 1270054912 1412612096 2163062272 2472071168 2825224192 4326124544 4944142336 8652249088 9888284672 17304498176 19776569344 34608996352 69217992704 138435985408
- Sum of all divisors σ(n): 328723560000
- Sum of proper divisors (its aliquot sum) s(n): 190287574592
- 138435985408 is an abundant number, because the sum of its proper divisors (190287574592) is greater than itself. Its abundance is 51851589184
Bases of 138435985408
- Binary: 100000001110110110110110000000000000002
- Hexadecimal: 0x203B6D8000
- Base-36: 1RLH7LZ4
Squares and roots of 138435985408
- 138435985408 squared (1384359854082) is 19164522055883988926464
- 138435985408 cubed (1384359854083) is 2653059495679650051564803889037312
-
The
square root of 138435985408 is 372069.8662993283 -
The
cube root of 138435985408 is 5173.0856078163
Scales and comparisons
How big is 138435985408?- 138,435,985,408 seconds is equal to 4,401 years, 43 weeks, 3 days, 8 hours, 23 minutes, 28 seconds.
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To count from 1 to 138,435,985,408 would take you about eight thousand, eight 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 138435985408 cubic inches would be around 431.1 feet tall.
Recreational maths with 138435985408
- 138435985408 backwards is 804589534831
- The number of decimal digits it has is: 12
- The sum of 138435985408's digits is 58
- More coming soon!
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