135406656
135,406,656 is an even composite number composed of six prime numbers multiplied together.
135406656 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 135406656:
26 × 32 × 7 × 11 × 43 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 43 × 71)See below for interesting mathematical facts about the number 135406656 from the Numbermatics database.
Names of 135406656
- Cardinal: 135406656 can be written as One hundred thirty-five million, four hundred six thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 1.35406656 × 108
Factors of 135406656
Divisors of 135406656
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 43 44 48 56 63 64 66 71 72 77 84 86 88 96 99 112 126 129 132 142 144 154 168 172 176 192 198 213 224 231 252 258 264 284 288 301 308 336 344 352 387 396 426 448 462 473 497 504 516 528 568 576 602 616 639 672 688 693 704 774 781 792 852 903 924 946 994 1008 1032 1056 1136 1204 1232 1278 1344 1376 1386 1419 1491 1548 1562 1584 1704 1806 1848 1892 1988 2016 2064 2112 2272 2343 2408 2464 2556 2709 2752 2772 2838 2982 3053 3096 3124 3168 3311 3408 3612 3696 3784 3976 4032 4128 4257 4473 4544 4686 4816 4928 5112 5418 5467 5544 5676 5964 6106 6192 6248 6336 6622 6816 7029 7224 7392 7568 7952 8256 8514 8946 9159 9372 9632 9933 10224 10836 10934 11088 11352 11928 12212 12384 12496 13244 13632 14058 14448 14784 15136 15904 16401 17028 17892 18318 18744 19264 19866 20448 21371 21672 21868 22176 22704 23856 24424 24768 24992 26488 27477 28116 28896 29799 30272 31808 32802 33583 34056 35784 36636 37488 39732 40896 42742 43344 43736 44352 45408 47712 48848 49203 49984 52976 54954 56232 57792 59598 64113 65604 67166 68112 71568 73272 74976 79464 85484 86688 87472 90816 95424 97696 98406 100749 105952 109908 112464 119196 128226 131208 134332 136224 143136 146544 149952 158928 170968 173376 174944 192339 195392 196812 201498 211904 219816 224928 235081 238392 256452 262416 268664 272448 286272 293088 302247 317856 341936 349888 384678 393624 402996 439632 449856 470162 476784 512904 524832 537328 586176 604494 635712 683872 705243 769356 787248 805992 879264 940324 953568 1025808 1049664 1074656 1208988 1367744 1410486 1538712 1574496 1611984 1758528 1880648 1907136 2051616 2115729 2149312 2417976 2820972 3077424 3148992 3223968 3761296 4103232 4231458 4835952 5641944 6154848 6447936 7522592 8462916 9671904 11283888 12309696 15045184 16925832 19343808 22567776 33851664 45135552 67703328 135406656
- Sum of all divisors σ(n): 502115328
- Sum of proper divisors (its aliquot sum) s(n): 366708672
- 135406656 is an abundant number, because the sum of its proper divisors (366708672) is greater than itself. Its abundance is 231302016
Bases of 135406656
- Binary: 10000001001000100100010000002
- Hexadecimal: 0x8122440
- Base-36: 28M8G0
Squares and roots of 135406656
- 135406656 squared (1354066562) is 18334962489102336
- 135406656 cubed (1354066563) is 2482675958534783759548416
-
The
square root of 135406656 is 11636.4365679533 -
The
cube root of 135406656 is 513.5073580247
Scales and comparisons
How big is 135406656?- 135,406,656 seconds is equal to 4 years, 15 weeks, 6 days, 4 hours, 57 minutes, 36 seconds.
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To count from 1 to 135,406,656 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 135406656 cubic inches would be around 42.8 feet tall.
Recreational maths with 135406656
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