135401328
135,401,328 is an even composite number composed of five prime numbers multiplied together.
What does the number 135401328 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 160 divisors.
135401328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 135401328:
24 × 33 × 17 × 103 × 179
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 103 × 179)See below for interesting mathematical facts about the number 135401328 from the Numbermatics database.
Names of 135401328
- Cardinal: 135401328 can be written as One hundred thirty-five million, four hundred one thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35401328 × 108
Factors of 135401328
Divisors of 135401328
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 103 108 136 144 153 179 204 206 216 272 306 309 358 408 412 432 459 537 612 618 716 816 824 918 927 1074 1224 1236 1432 1611 1648 1751 1836 1854 2148 2448 2472 2781 2864 3043 3222 3502 3672 3708 4296 4833 4944 5253 5562 6086 6444 7004 7344 7416 8592 9129 9666 10506 11124 12172 12888 14008 14832 15759 18258 18437 19332 21012 22248 24344 25776 27387 28016 31518 36516 36874 38664 42024 44496 47277 48688 54774 55311 63036 73032 73748 77328 82161 84048 94554 109548 110622 126072 146064 147496 164322 165933 189108 219096 221244 252144 294992 313429 328644 331866 378216 438192 442488 497799 626858 657288 663732 756432 884976 940287 995598 1253716 1314576 1327464 1880574 1991196 2507432 2654928 2820861 3761148 3982392 5014864 5641722 7522296 7964784 8462583 11283444 15044592 16925166 22566888 33850332 45133776 67700664 135401328
- Sum of all divisors σ(n): 417830400
- Sum of proper divisors (its aliquot sum) s(n): 282429072
- 135401328 is an abundant number, because the sum of its proper divisors (282429072) is greater than itself. Its abundance is 147027744
Bases of 135401328
- Binary: 10000001001000001111011100002
- Hexadecimal: 0x8120F70
- Base-36: 28M4C0
Squares and roots of 135401328
- 135401328 squared (1354013282) is 18333519624163584
- 135401328 cubed (1354013283) is 2482382904025810162839552
-
The
square root of 135401328 is 11636.2076296361 -
The
cube root of 135401328 is 513.5006227501
Scales and comparisons
How big is 135401328?- 135,401,328 seconds is equal to 4 years, 15 weeks, 6 days, 3 hours, 28 minutes, 48 seconds.
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To count from 1 to 135,401,328 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 135401328 cubic inches would be around 42.8 feet tall.
Recreational maths with 135401328
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