134964144
134,964,144 is an even composite number composed of five prime numbers multiplied together.
134964144 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 134964144:
24 × 37 × 7 × 19 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 29)See below for interesting mathematical facts about the number 134964144 from the Numbermatics database.
Names of 134964144
- Cardinal: 134964144 can be written as One hundred thirty-four million, nine hundred sixty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.34964144 × 108
Factors of 134964144
Divisors of 134964144
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 29 36 38 42 48 54 56 57 58 63 72 76 81 84 87 108 112 114 116 126 133 144 152 162 168 171 174 189 203 216 228 232 243 252 261 266 304 324 336 342 348 378 399 406 432 456 464 486 504 513 522 532 551 567 609 648 684 696 729 756 783 798 812 912 972 1008 1026 1044 1064 1102 1134 1197 1218 1296 1368 1392 1458 1512 1539 1566 1596 1624 1653 1701 1827 1944 2052 2088 2128 2187 2204 2268 2349 2394 2436 2736 2916 3024 3078 3132 3192 3248 3306 3402 3591 3654 3857 3888 4104 4176 4374 4408 4536 4617 4698 4788 4872 4959 5103 5481 5832 6156 6264 6384 6612 6804 7047 7182 7308 7714 8208 8748 8816 9072 9234 9396 9576 9744 9918 10206 10773 10962 11571 11664 12312 12528 13224 13608 13851 14094 14364 14616 14877 15309 15428 16443 17496 18468 18792 19152 19836 20412 21141 21546 21924 23142 24624 26448 27216 27702 28188 28728 29232 29754 30618 30856 32319 32886 34713 34992 36936 37584 39672 40824 41553 42282 43092 43848 44631 46284 49329 55404 56376 57456 59508 61236 61712 63423 64638 65772 69426 73872 79344 81648 83106 84564 86184 87696 89262 92568 96957 98658 104139 110808 112752 119016 122472 126846 129276 131544 133893 138852 147987 166212 169128 172368 178524 185136 193914 197316 208278 221616 238032 244944 253692 258552 263088 267786 277704 290871 295974 312417 332424 338256 357048 387828 394632 401679 416556 443961 507384 517104 535572 555408 581742 591948 624834 664848 714096 775656 789264 803358 833112 887922 937251 1014768 1071144 1163484 1183896 1205037 1249668 1551312 1606716 1666224 1775844 1874502 2142288 2326968 2367792 2410074 2499336 2811753 3213432 3551688 3749004 4653936 4820148 4998672 5623506 6426864 7103376 7498008 8435259 9640296 11247012 14996016 16870518 19280592 22494024 33741036 44988048 67482072 134964144
- Sum of all divisors σ(n): 488064000
- Sum of proper divisors (its aliquot sum) s(n): 353099856
- 134964144 is an abundant number, because the sum of its proper divisors (353099856) is greater than itself. Its abundance is 218135712
Bases of 134964144
- Binary: 10000000101101100011101100002
- Hexadecimal: 0x80B63B0
- Base-36: 28CR00
Squares and roots of 134964144
- 134964144 squared (1349641442) is 18215320165652736
- 134964144 cubed (1349641443) is 2458415093843259715497984
-
The
square root of 134964144 is 11617.4069395887 -
The
cube root of 134964144 is 512.9473630203
Scales and comparisons
How big is 134964144?- 134,964,144 seconds is equal to 4 years, 15 weeks, 1 day, 2 hours, 2 minutes, 24 seconds.
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To count from 1 to 134,964,144 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 134964144 cubic inches would be around 42.7 feet tall.
Recreational maths with 134964144
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