135363648
135,363,648 is an even composite number composed of six prime numbers multiplied together.
135363648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 135363648:
26 × 3 × 7 × 23 × 29 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 29 × 151)See below for interesting mathematical facts about the number 135363648 from the Numbermatics database.
Names of 135363648
- Cardinal: 135363648 can be written as One hundred thirty-five million, three hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.35363648 × 108
Factors of 135363648
Divisors of 135363648
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 32 42 46 48 56 58 64 69 84 87 92 96 112 116 138 151 161 168 174 184 192 203 224 232 276 302 322 336 348 368 406 448 453 464 483 552 604 609 644 667 672 696 736 812 906 928 966 1057 1104 1208 1218 1288 1334 1344 1392 1472 1624 1812 1856 1932 2001 2114 2208 2416 2436 2576 2668 2784 3171 3248 3473 3624 3864 4002 4228 4379 4416 4669 4832 4872 5152 5336 5568 6342 6496 6946 7248 7728 8004 8456 8758 9338 9664 9744 10304 10419 10672 12684 12992 13137 13892 14007 14496 15456 16008 16912 17516 18676 19488 20838 21344 24311 25368 26274 27784 28014 28992 30653 30912 32016 33824 35032 37352 38976 41676 42688 48622 50736 52548 55568 56028 61306 64032 67648 70064 72933 74704 83352 91959 97244 100717 101472 105096 111136 112056 122612 128064 140128 145866 149408 166704 183918 194488 201434 202944 210192 222272 224112 245224 280256 291732 298816 302151 333408 367836 388976 402868 420384 448224 490448 583464 604302 666816 705019 735672 777952 805736 840768 896448 980896 1166928 1208604 1410038 1471344 1555904 1611472 1961792 2115057 2333856 2417208 2820076 2942688 3222944 4230114 4667712 4834416 5640152 5885376 6445888 8460228 9668832 11280304 16920456 19337664 22560608 33840912 45121216 67681824 135363648
- Sum of all divisors σ(n): 444764160
- Sum of proper divisors (its aliquot sum) s(n): 309400512
- 135363648 is an abundant number, because the sum of its proper divisors (309400512) is greater than itself. Its abundance is 174036864
Bases of 135363648
- Binary: 10000001000101111100010000002
- Hexadecimal: 0x8117C40
- Base-36: 28LB9C
Squares and roots of 135363648
- 135363648 squared (1353636482) is 18323317199867904
- 135363648 cubed (1353636483) is 2480311059635264603553792
-
The
square root of 135363648 is 11634.5884327723 -
The
cube root of 135363648 is 513.4529853577
Scales and comparisons
How big is 135363648?- 135,363,648 seconds is equal to 4 years, 15 weeks, 5 days, 17 hours, 48 seconds.
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To count from 1 to 135,363,648 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 135363648 cubic inches would be around 42.8 feet tall.
Recreational maths with 135363648
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The information we have on file for 135363648 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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