135461664
135,461,664 is an even composite number composed of five prime numbers multiplied together.
135461664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135461664:
25 × 32 × 13 × 97 × 373
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 97 × 373)See below for interesting mathematical facts about the number 135461664 from the Numbermatics database.
Names of 135461664
- Cardinal: 135461664 can be written as One hundred thirty-five million, four hundred sixty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.35461664 × 108
Factors of 135461664
Divisors of 135461664
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 373 388 416 468 582 624 746 776 873 936 1119 1164 1248 1261 1492 1552 1746 1872 2238 2328 2522 2984 3104 3357 3492 3744 3783 4476 4656 4849 5044 5968 6714 6984 7566 8952 9312 9698 10088 11349 11936 13428 13968 14547 15132 17904 19396 20176 22698 26856 27936 29094 30264 35808 36181 38792 40352 43641 45396 53712 58188 60528 72362 77584 87282 90792 107424 108543 116376 121056 144724 155168 174564 181584 217086 232752 289448 325629 349128 363168 434172 465504 470353 578896 651258 698256 868344 940706 1157792 1302516 1396512 1411059 1736688 1881412 2605032 2822118 3473376 3762824 4233177 5210064 5644236 7525648 8466354 10420128 11288472 15051296 16932708 22576944 33865416 45153888 67730832 135461664
- Sum of all divisors σ(n): 420251832
- Sum of proper divisors (its aliquot sum) s(n): 284790168
- 135461664 is an abundant number, because the sum of its proper divisors (284790168) is greater than itself. Its abundance is 149328504
Bases of 135461664
- Binary: 10000001001011111011001000002
- Hexadecimal: 0x812FB20
- Base-36: 28NEW0
Squares and roots of 135461664
- 135461664 squared (1354616642) is 18349862413648896
- 135461664 cubed (1354616643) is 2485702896723935763922944
-
The
square root of 135461664 is 11638.7999381379 -
The
cube root of 135461664 is 513.5768848595
Scales and comparisons
How big is 135461664?- 135,461,664 seconds is equal to 4 years, 15 weeks, 6 days, 20 hours, 14 minutes, 24 seconds.
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To count from 1 to 135,461,664 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 135461664 cubic inches would be around 42.8 feet tall.
Recreational maths with 135461664
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