38640644224
38,640,644,224 is an even composite number composed of six prime numbers multiplied together.
What does the number 38640644224 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
38640644224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 38640644224:
27 × 72 × 13 × 17 × 61 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 61 × 457)See below for interesting mathematical facts about the number 38640644224 from the Numbermatics database.
Names of 38640644224
- Cardinal: 38640644224 can be written as Thirty-eight billion, six hundred forty million, six hundred forty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 3.8640644224 × 1010
Factors of 38640644224
Divisors of 38640644224
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 61 64 68 91 98 104 112 119 122 128 136 182 196 208 221 224 238 244 272 364 392 416 427 442 448 457 476 488 544 637 728 784 793 832 833 854 884 896 914 952 976 1037 1088 1274 1456 1547 1568 1586 1664 1666 1708 1768 1828 1904 1952 2074 2176 2548 2912 2989 3094 3136 3172 3199 3332 3416 3536 3656 3808 3904 4148 5096 5551 5824 5941 5978 6188 6272 6344 6398 6664 6832 7072 7259 7312 7616 7769 7808 8296 10192 10829 11102 11648 11882 11956 12376 12688 12796 13328 13481 13664 14144 14518 14624 15232 15538 16592 20384 21658 22204 22393 23764 23912 24752 25376 25592 26656 26962 27328 27877 28288 29036 29248 31076 33184 38857 40768 41587 43316 44408 44786 47528 47824 49504 50752 50813 51184 53312 53924 54383 54656 55754 58072 58496 62152 66368 77714 81536 83174 86632 88816 89572 94367 95056 95648 99008 100997 101504 101626 102368 106624 107848 108766 111508 116144 124304 132736 155428 166348 173264 177632 179144 188734 190112 191296 195139 198016 201994 203252 204736 215696 217532 223016 232288 248608 291109 310856 332696 346528 355264 358288 362401 377468 380224 380681 382592 390278 403988 406504 409472 431392 435064 446032 464576 473909 497216 582218 621712 660569 665392 693056 706979 710528 716576 724802 754936 760448 761362 780556 807976 813008 862784 870128 892064 929152 947818 994432 1164436 1243424 1321138 1330784 1365973 1386112 1413958 1433152 1449604 1509872 1522724 1561112 1615952 1626016 1725568 1740256 1784128 1895636 2328872 2486848 2536807 2642276 2661568 2731946 2827916 2866304 2899208 3019744 3045448 3122224 3231904 3252032 3317363 3480512 3568256 3791272 4657744 4948853 4973696 5073614 5284552 5323136 5463892 5655832 5798416 6039488 6090896 6160817 6244448 6463808 6504064 6634726 6961024 7582544 9315488 9897706 10147228 10569104 10927784 11311664 11596832 12078976 12181792 12321634 12488896 12927616 13269452 15165088 17757649 18630976 19795412 20294456 21138208 21855568 22623328 23193664 23221541 24363584 24643268 24977792 26538904 30330176 35515298 37261952 39590824 40588912 42276416 43125719 43711136 45246656 46387328 46443082 48727168 49286536 53077808 60660352 71030596 79181648 81177824 84552832 86251438 87422272 90493312 92886164 98573072 106155616 142061192 158363296 162355648 172502876 174844544 185772328 197146144 212311232 284122384 301880033 316726592 324711296 345005752 371544656 394292288 424622464 568244768 603760066 633453184 690011504 743089312 788584576 1136489536 1207520132 1380023008 1486178624 2272979072 2415040264 2760046016 2972357248 4830080528 5520092032 9660161056 19320322112 38640644224
- Sum of all divisors σ(n): 104009436720
- Sum of proper divisors (its aliquot sum) s(n): 65368792496
- 38640644224 is an abundant number, because the sum of its proper divisors (65368792496) is greater than itself. Its abundance is 26728148272
Bases of 38640644224
- Binary: 1000111111110010100101110000100000002
- Hexadecimal: 0x8FF297080
- Base-36: HR1N3WG
Squares and roots of 38640644224
- 38640644224 squared (386406442242) is 1493099386045744562176
- 38640644224 cubed (386406442243) is 57694322167266445816225463271424
-
The
square root of 38640644224 is 196572.2366561463 -
The
cube root of 38640644224 is 3380.7634627987
Scales and comparisons
How big is 38640644224?- 38,640,644,224 seconds is equal to 1,228 years, 33 weeks, 6 days, 16 hours, 17 minutes, 4 seconds.
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To count from 1 to 38,640,644,224 would take you about two thousand, four hundred fifty-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 38640644224 cubic inches would be around 281.7 feet tall.
Recreational maths with 38640644224
- 38640644224 backwards is 42244604683
- The number of decimal digits it has is: 11
- The sum of 38640644224's digits is 43
- More coming soon!
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