135625728
135,625,728 is an even composite number composed of five prime numbers multiplied together.
135625728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 135625728:
210 × 3 × 72 × 17 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 53)See below for interesting mathematical facts about the number 135625728 from the Numbermatics database.
Names of 135625728
- Cardinal: 135625728 can be written as One hundred thirty-five million, six hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35625728 × 108
Factors of 135625728
Divisors of 135625728
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 53 56 64 68 84 96 98 102 106 112 119 128 136 147 159 168 192 196 204 212 224 238 256 272 294 318 336 357 371 384 392 408 424 448 476 512 544 588 636 672 714 742 768 784 816 833 848 896 901 952 1024 1088 1113 1176 1272 1344 1428 1484 1536 1568 1632 1666 1696 1792 1802 1904 2176 2226 2352 2499 2544 2597 2688 2703 2856 2968 3072 3136 3264 3332 3392 3584 3604 3808 4352 4452 4704 4998 5088 5194 5376 5406 5712 5936 6272 6307 6528 6664 6784 7168 7208 7616 7791 8704 8904 9408 9996 10176 10388 10752 10812 11424 11872 12544 12614 13056 13328 13568 14416 15232 15582 17408 17808 18816 18921 19992 20352 20776 21504 21624 22848 23744 25088 25228 26112 26656 27136 28832 30464 31164 35616 37632 37842 39984 40704 41552 43248 44149 45696 47488 50176 50456 52224 53312 54272 57664 60928 62328 71232 75264 75684 79968 81408 83104 86496 88298 91392 94976 100912 106624 115328 121856 124656 132447 142464 150528 151368 159936 162816 166208 172992 176596 182784 189952 201824 213248 230656 249312 264894 284928 302736 319872 332416 345984 353192 365568 379904 403648 426496 461312 498624 529788 569856 605472 639744 664832 691968 706384 807296 852992 922624 997248 1059576 1139712 1210944 1279488 1329664 1383936 1412768 1614592 1994496 2119152 2421888 2558976 2659328 2767872 2825536 3229184 3988992 4238304 4843776 5651072 6458368 7977984 8476608 9687552 11302144 16953216 19375104 22604288 33906432 45208576 67812864 135625728
- Sum of all divisors σ(n): 453647952
- Sum of proper divisors (its aliquot sum) s(n): 318022224
- 135625728 is an abundant number, because the sum of its proper divisors (318022224) is greater than itself. Its abundance is 182396496
Bases of 135625728
- Binary: 10000001010101111100000000002
- Hexadecimal: 0x8157C00
- Base-36: 28QXHC
Squares and roots of 135625728
- 135625728 squared (1356257282) is 18394338095529984
- 135625728 cubed (1356257283) is 2494745495284387625828352
-
The
square root of 135625728 is 11645.8459546741 -
The
cube root of 135625728 is 513.7841402593
Scales and comparisons
How big is 135625728?- 135,625,728 seconds is equal to 4 years, 16 weeks, 1 day, 17 hours, 48 minutes, 48 seconds.
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To count from 1 to 135,625,728 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 135625728 cubic inches would be around 42.8 feet tall.
Recreational maths with 135625728
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