135148368
135,148,368 is an even composite number composed of six prime numbers multiplied together.
135148368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 135148368:
24 × 3 × 17 × 19 × 23 × 379
(2 × 2 × 2 × 2 × 3 × 17 × 19 × 23 × 379)See below for interesting mathematical facts about the number 135148368 from the Numbermatics database.
Names of 135148368
- Cardinal: 135148368 can be written as One hundred thirty-five million, one hundred forty-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.35148368 × 108
Factors of 135148368
Divisors of 135148368
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 23 24 34 38 46 48 51 57 68 69 76 92 102 114 136 138 152 184 204 228 272 276 304 323 368 379 391 408 437 456 552 646 758 782 816 874 912 969 1104 1137 1173 1292 1311 1516 1564 1748 1938 2274 2346 2584 2622 3032 3128 3496 3876 4548 4692 5168 5244 6064 6256 6443 6992 7201 7429 7752 8717 9096 9384 10488 12886 14402 14858 15504 17434 18192 18768 19329 20976 21603 22287 25772 26151 28804 29716 34868 38658 43206 44574 51544 52302 57608 59432 69736 77316 86412 89148 103088 104604 115216 118864 122417 139472 148189 154632 165623 172824 178296 209208 244834 296378 309264 331246 345648 356592 367251 418416 444567 489668 496869 592756 662492 734502 889134 979336 993738 1185512 1324984 1469004 1778268 1958672 1987476 2371024 2649968 2815591 2938008 3556536 3974952 5631182 5876016 7113072 7949904 8446773 11262364 16893546 22524728 33787092 45049456 67574184 135148368
- Sum of all divisors σ(n): 407116800
- Sum of proper divisors (its aliquot sum) s(n): 271968432
- 135148368 is an abundant number, because the sum of its proper divisors (271968432) is greater than itself. Its abundance is 136820064
Bases of 135148368
- Binary: 10000000111000110011010100002
- Hexadecimal: 0x80E3350
- Base-36: 28GP5C
Squares and roots of 135148368
- 135148368 squared (1351483682) is 18265081373063424
- 135148368 cubed (1351483683) is 2468495938956720914092032
-
The
square root of 135148368 is 11625.3330274877 -
The
cube root of 135148368 is 513.1806453551
Scales and comparisons
How big is 135148368?- 135,148,368 seconds is equal to 4 years, 15 weeks, 3 days, 5 hours, 12 minutes, 48 seconds.
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To count from 1 to 135,148,368 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 135148368 cubic inches would be around 42.8 feet tall.
Recreational maths with 135148368
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