135045840384
135,045,840,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 135045840384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 320 divisors.
135045840384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 135045840384:
29 × 33 × 7 × 13 × 107351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 107351)See below for interesting mathematical facts about the number 135045840384 from the Numbermatics database.
Names of 135045840384
- Cardinal: 135045840384 can be written as One hundred thirty-five billion, forty-five million, eight hundred forty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.35045840384 × 1011
Factors of 135045840384
Divisors of 135045840384
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 256 273 288 312 336 351 364 378 384 416 432 448 468 504 512 546 576 624 672 702 728 756 768 819 832 864 896 936 1008 1092 1152 1248 1344 1404 1456 1512 1536 1638 1664 1728 1792 1872 2016 2184 2304 2457 2496 2688 2808 2912 3024 3276 3328 3456 3584 3744 4032 4368 4608 4914 4992 5376 5616 5824 6048 6552 6656 6912 7488 8064 8736 9828 9984 10752 11232 11648 12096 13104 13824 14976 16128 17472 19656 19968 22464 23296 24192 26208 29952 32256 34944 39312 44928 46592 48384 52416 59904 69888 78624 89856 96768 104832 107351 139776 157248 179712 209664 214702 314496 322053 419328 429404 628992 644106 751457 858808 966159 1257984 1288212 1395563 1502914 1717616 1932318 2254371 2576424 2791126 2898477 3005828 3435232 3864636 4186689 4508742 5152848 5582252 5796954 6011656 6763113 6870464 7729272 8373378 9017484 9768941 10305696 11164504 11593908 12023312 12560067 13526226 13740928 15458544 16746756 18034968 19537882 20289339 20611392 22329008 23187816 24046624 25120134 27052452 27481856 29306823 30917088 33493512 36069936 37680201 39075764 40578678 41222784 44658016 46375632 48093248 50240268 54104904 54963712 58613646 61834176 66987024 72139872 75360402 78151528 81157356 82445568 87920469 89316032 92751264 96186496 100480536 108209808 117227292 123668352 133974048 144279744 150720804 156303056 162314712 164891136 175840938 178632064 185502528 192372992 200961072 216419616 234454584 247336704 263761407 267948096 288559488 301441608 312606112 324629424 351681876 357264128 371005056 384745984 401922144 432839232 468909168 494673408 527522814 535896192 577118976 602883216 625212224 649258848 703363752 714528256 742010112 803844288 865678464 937818336 1055045628 1071792384 1154237952 1205766432 1250424448 1298517696 1406727504 1484020224 1607688576 1731356928 1875636672 2110091256 2143584768 2411532864 2500848896 2597035392 2813455008 3215377152 3462713856 3751273344 4220182512 4823065728 5001697792 5194070784 5626910016 6430754304 7502546688 8440365024 9646131456 10388141568 11253820032 15005093376 16880730048 19292262912 22507640064 33761460096 45015280128 67522920192 135045840384
- Sum of all divisors σ(n): 491998510080
- Sum of proper divisors (its aliquot sum) s(n): 356952669696
- 135045840384 is an abundant number, because the sum of its proper divisors (356952669696) is greater than itself. Its abundance is 221906829312
Bases of 135045840384
- Binary: 11111011100010101101111111110000000002
- Hexadecimal: 0x1F715BFE00
- Base-36: 1Q1ET1C0
Squares and roots of 135045840384
- 135045840384 squared (1350458403842) is 18237379005020805267456
- 135045840384 cubed (1350458403843) is 2462882174134552402748009405743104
-
The
square root of 135045840384 is 367485.8369842299 -
The
cube root of 135045840384 is 5130.5084110189
Scales and comparisons
How big is 135045840384?- 135,045,840,384 seconds is equal to 4,294 years, 2 weeks, 13 hours, 26 minutes, 24 seconds.
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To count from 1 to 135,045,840,384 would take you about eight thousand, five hundred eighty-eight 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 135045840384 cubic inches would be around 427.5 feet tall.
Recreational maths with 135045840384
- 135045840384 backwards is 483048540531
- The number of decimal digits it has is: 12
- The sum of 135045840384's digits is 45
- More coming soon!
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