138366144
138,366,144 is an even composite number composed of five prime numbers multiplied together.
138366144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138366144:
26 × 35 × 7 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 41)See below for interesting mathematical facts about the number 138366144 from the Numbermatics database.
Names of 138366144
- Cardinal: 138366144 can be written as One hundred thirty-eight million, three hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38366144 × 108
Factors of 138366144
Divisors of 138366144
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 41 42 48 54 56 62 63 64 72 81 82 84 93 96 108 112 123 124 126 144 162 164 168 186 189 192 216 217 224 243 246 248 252 279 287 288 324 328 336 369 372 378 432 434 448 486 492 496 504 558 567 574 576 648 651 656 672 738 744 756 837 861 864 868 972 984 992 1008 1107 1116 1134 1148 1271 1296 1302 1312 1344 1476 1488 1512 1674 1701 1722 1728 1736 1944 1953 1968 1984 2016 2214 2232 2268 2296 2511 2542 2583 2592 2604 2624 2952 2976 3024 3321 3348 3402 3444 3472 3813 3888 3906 3936 4032 4428 4464 4536 4592 5022 5084 5166 5184 5208 5859 5904 5952 6048 6642 6696 6804 6888 6944 7533 7626 7749 7776 7812 7872 8856 8897 8928 9072 9184 9963 10044 10168 10332 10416 11439 11718 11808 12096 13284 13392 13608 13776 13888 15066 15252 15498 15552 15624 17577 17712 17794 17856 18144 18368 19926 20088 20336 20664 20832 22878 23247 23436 23616 26568 26691 26784 27216 27552 30132 30504 30996 31248 34317 35154 35424 35588 36288 39852 40176 40672 41328 41664 45756 46494 46872 52731 53136 53382 53568 54432 55104 60264 61008 61992 62496 68634 69741 70308 70848 71176 79704 80073 80352 81344 82656 91512 92988 93744 102951 105462 106272 106764 108864 120528 122016 123984 124992 137268 139482 140616 142352 159408 160146 160704 165312 183024 185976 187488 205902 210924 212544 213528 240219 241056 244032 247968 274536 278964 281232 284704 308853 318816 320292 366048 371952 374976 411804 421848 427056 480438 482112 495936 549072 557928 562464 569408 617706 637632 640584 720657 732096 743904 823608 843696 854112 960876 1098144 1115856 1124928 1235412 1281168 1441314 1487808 1647216 1687392 1708224 1921752 2161971 2196288 2231712 2470824 2562336 2882628 3294432 3374784 3843504 4323942 4463424 4941648 5124672 5765256 6588864 7687008 8647884 9883296 11530512 15374016 17295768 19766592 23061024 34591536 46122048 69183072 138366144
- Sum of all divisors σ(n): 497043456
- Sum of proper divisors (its aliquot sum) s(n): 358677312
- 138366144 is an abundant number, because the sum of its proper divisors (358677312) is greater than itself. Its abundance is 220311168
Bases of 138366144
- Binary: 10000011111101001100110000002
- Hexadecimal: 0x83F4CC0
- Base-36: 2ADO00
Squares and roots of 138366144
- 138366144 squared (1383661442) is 19145189805428736
- 138366144 cubed (1383661443) is 2649046089525284467113984
-
The
square root of 138366144 is 11762.9139247043 -
The
cube root of 138366144 is 517.2215515269
Scales and comparisons
How big is 138366144?- 138,366,144 seconds is equal to 4 years, 20 weeks, 5 days, 11 hours, 2 minutes, 24 seconds.
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To count from 1 to 138,366,144 would take you about six 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 138366144 cubic inches would be around 43.1 feet tall.
Recreational maths with 138366144
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