135456418125
135,456,418,125 is an odd composite number composed of six prime numbers multiplied together.
135456418125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 135456418125:
33 × 54 × 7 × 31 × 71 × 521
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 31 × 71 × 521)See below for interesting mathematical facts about the number 135456418125 from the Numbermatics database.
Names of 135456418125
- Cardinal: 135456418125 can be written as One hundred thirty-five billion, four hundred fifty-six million, four hundred eighteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.35456418125 × 1011
Factors of 135456418125
Divisors of 135456418125
- Number of divisors d(n): 320
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 45 63 71 75 93 105 125 135 155 175 189 213 217 225 279 315 355 375 465 497 521 525 625 639 651 675 775 837 875 945 1065 1085 1125 1395 1491 1563 1575 1775 1875 1917 1953 2201 2325 2485 2605 2625 3195 3255 3375 3647 3875 4185 4375 4473 4689 4725 5325 5425 5625 5859 6603 6975 7455 7815 7875 8875 9585 9765 10941 11005 11625 12425 13025 13125 13419 14067 15407 15975 16151 16275 16875 18235 19375 19809 20925 22365 23445 23625 26625 27125 29295 32823 33015 34875 36991 37275 39075 39375 44375 46221 47925 48453 48825 54705 55025 58125 59427 62125 65125 67095 70335 77035 79875 80755 81375 91175 98469 99045 104625 110973 111825 113057 117225 118125 133125 135625 138663 145359 146475 164115 165075 174375 184955 186375 195375 231105 239625 242265 244125 258937 273525 275125 297135 310625 325625 332919 335475 339171 351675 385175 399375 403775 406875 415989 436077 455875 492345 495225 523125 554865 559125 565285 586125 693315 726795 732375 776811 820575 825375 924775 931875 976875 998757 1017513 1146721 1155525 1198125 1211325 1220625 1294685 1367625 1375625 1485675 1664595 1677375 1695855 1758375 1925875 2018875 2079945 2180385 2279375 2330433 2461725 2476125 2774325 2795625 2826425 2930625 3052539 3440163 3466575 3633975 3661875 3884055 4102875 4126875 4623875 4993785 5087565 5733605 5777625 6056625 6473425 6838125 6991299 7428375 8027047 8322975 8386875 8479275 8791875 9629375 10094375 10320489 10399725 10901925 11652165 12308625 12380625 13871625 14132125 15262695 17200815 17332875 18169875 19420275 20514375 23119375 24081141 24968925 25437825 28668025 28888125 30283125 30961467 32367125 34956495 37141875 40135235 41614875 42396375 51602445 51998625 54509625 58260825 61543125 69358125 70660625 72243423 76313475 86004075 86664375 90849375 97101375 120405705 124844625 127189125 143340125 154807335 161835625 174782475 200676175 208074375 211981875 216730269 258012225 259993125 272548125 291304125 361217115 381567375 430020375 485506875 602028525 624223125 635945625 716700625 774036675 873912375 1003380875 1083651345 1290061125 1456520625 1806085575 1907836875 2150101875 3010142625 3870183375 4369561875 5016904375 5418256725 6450305625 9030427875 15050713125 19350916875 27091283625 45152139375 135456418125
- Sum of all divisors σ(n): 300575784960
- Sum of proper divisors (its aliquot sum) s(n): 165119366835
- 135456418125 is an abundant number, because the sum of its proper divisors (165119366835) is greater than itself. Its abundance is 29662948710
Bases of 135456418125
- Binary: 11111100010011101010011101001010011012
- Hexadecimal: 0x1F89D4E94D
- Base-36: 1Q879559
Squares and roots of 135456418125
- 135456418125 squared (1354564181252) is 18348441211254828515625
- 135456418125 cubed (1354564181253) is 2485414124653715507337673095703125
-
The
square root of 135456418125 is 368044.0437298233 -
The
cube root of 135456418125 is 5135.7025519803
Scales and comparisons
How big is 135456418125?- 135,456,418,125 seconds is equal to 4,307 years, 4 weeks, 6 days, 14 hours, 48 minutes, 45 seconds.
-
To count from 1 to 135,456,418,125 would take you about eight thousand, six hundred fourteen 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 135456418125 cubic inches would be around 428 feet tall.
Recreational maths with 135456418125
- 135456418125 backwards is 521814654531
- 135456418125 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135456418125's digits is 45
- More coming soon!
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