138448128
138,448,128 is an even composite number composed of five prime numbers multiplied together.
138448128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138448128:
28 × 3 × 72 × 13 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 283)See below for interesting mathematical facts about the number 138448128 from the Numbermatics database.
Names of 138448128
- Cardinal: 138448128 can be written as One hundred thirty-eight million, four hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38448128 × 108
Factors of 138448128
Divisors of 138448128
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 182 192 196 208 224 256 273 283 294 312 336 364 384 392 416 448 546 566 588 624 637 672 728 768 784 832 849 896 1092 1132 1176 1248 1274 1344 1456 1568 1664 1698 1792 1911 1981 2184 2264 2352 2496 2548 2688 2912 3136 3328 3396 3679 3822 3962 4368 4528 4704 4992 5096 5376 5824 5943 6272 6792 7358 7644 7924 8736 9056 9408 9984 10192 11037 11648 11886 12544 13584 13867 14716 15288 15848 17472 18112 18816 20384 22074 23296 23772 25753 27168 27734 29432 30576 31696 34944 36224 37632 40768 41601 44148 47544 51506 54336 55468 58864 61152 63392 69888 72448 77259 81536 83202 88296 95088 103012 108672 110936 117728 122304 126784 154518 163072 166404 176592 180271 190176 206024 217344 221872 235456 244608 253568 309036 332808 353184 360542 380352 412048 443744 470912 489216 507136 540813 618072 665616 706368 721084 760704 824096 887488 941824 1081626 1236144 1331232 1412736 1442168 1521408 1648192 1774976 2163252 2472288 2662464 2825472 2884336 3296384 3549952 4326504 4944576 5324928 5768672 6592768 8653008 9889152 10649856 11537344 17306016 19778304 23074688 34612032 46149376 69224064 138448128
- Sum of all divisors σ(n): 463235808
- Sum of proper divisors (its aliquot sum) s(n): 324787680
- 138448128 is an abundant number, because the sum of its proper divisors (324787680) is greater than itself. Its abundance is 186339552
Bases of 138448128
- Binary: 10000100000010001101000000002
- Hexadecimal: 0x8408D00
- Base-36: 2AFF9C
Squares and roots of 138448128
- 138448128 squared (1384481282) is 19167884146704384
- 138448128 cubed (1384481283) is 2653757677832099334193152
-
The
square root of 138448128 is 11766.3982594505 -
The
cube root of 138448128 is 517.3236851803
Scales and comparisons
How big is 138448128?- 138,448,128 seconds is equal to 4 years, 20 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
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To count from 1 to 138,448,128 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 138448128 cubic inches would be around 43.1 feet tall.
Recreational maths with 138448128
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