13585326144
13,585,326,144 is an even composite number composed of six prime numbers multiplied together.
13585326144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 13585326144:
26 × 3 × 13 × 17 × 127 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 127 × 2521)See below for interesting mathematical facts about the number 13585326144 from the Numbermatics database.
Names of 13585326144
- Cardinal: 13585326144 can be written as Thirteen billion, five hundred eighty-five million, three hundred twenty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3585326144 × 1010
Factors of 13585326144
Divisors of 13585326144
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 127 136 156 192 204 208 221 254 272 312 381 408 416 442 508 544 624 663 762 816 832 884 1016 1088 1248 1326 1524 1632 1651 1768 2032 2159 2496 2521 2652 3048 3264 3302 3536 4064 4318 4953 5042 5304 6096 6477 6604 7072 7563 8128 8636 9906 10084 10608 12192 12954 13208 14144 15126 17272 19812 20168 21216 24384 25908 26416 28067 30252 32773 34544 39624 40336 42432 42857 51816 52832 56134 60504 65546 69088 79248 80672 84201 85714 98319 103632 105664 112268 121008 128571 131092 138176 158496 161344 168402 171428 196638 207264 224536 242016 257142 262184 316992 320167 336804 342856 393276 414528 449072 484032 514284 524368 557141 640334 673608 685712 786552 898144 960501 1028568 1048736 1114282 1280668 1347216 1371424 1573104 1671423 1796288 1921002 2057136 2097472 2228564 2561336 2694432 2742848 3146208 3342846 3842004 4114272 4162171 4457128 5122672 5388864 5442839 6292416 6685692 7684008 8228544 8324342 8914256 10245344 10885678 12486513 13371384 15368016 16328517 16648684 17828512 20490688 21771356 24973026 26742768 30736032 32657034 33297368 35657024 43542712 49946052 53485536 61472064 65314068 66594736 70756907 87085424 99892104 106971072 130628136 133189472 141513814 174170848 199784208 212270721 261256272 266378944 283027628 348341696 399568416 424541442 522512544 566055256 799136832 849082884 1045025088 1132110512 1698165768 2264221024 3396331536 4528442048 6792663072 13585326144
- Sum of all divisors σ(n): 41325613056
- Sum of proper divisors (its aliquot sum) s(n): 27740286912
- 13585326144 is an abundant number, because the sum of its proper divisors (27740286912) is greater than itself. Its abundance is 14154960768
Bases of 13585326144
- Binary: 11001010011011111110100000010000002
- Hexadecimal: 0x329BFA040
- Base-36: 68OCOQO
Squares and roots of 13585326144
- 13585326144 squared (135853261442) is 184561086438849908736
- 13585326144 cubed (135853261443) is 2507322552762751522443194793984
-
The
square root of 13585326144 is 116556.1072788551 -
The
cube root of 13585326144 is 2386.1075944979
Scales and comparisons
How big is 13585326144?- 13,585,326,144 seconds is equal to 431 years, 50 weeks, 3 days, 13 hours, 42 minutes, 24 seconds.
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To count from 1 to 13,585,326,144 would take you about eight hundred sixty-three 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 13585326144 cubic inches would be around 198.8 feet tall.
Recreational maths with 13585326144
- 13585326144 backwards is 44162358531
- The number of decimal digits it has is: 11
- The sum of 13585326144's digits is 42
- More coming soon!
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