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141520041 = 3613109137
BaseRepresentation
bin10000110111101…
…10110010101001
3100212021222000000
420123312302221
5242212120131
622013133213
73335620605
oct1033666251
9325258000
10141520041
1172980113
123b48a209
1323420190
1414b1c505
15c656ce6
hex86f6ca9

141520041 has 56 divisors (see below), whose sum is σ = 232284360. Its totient is φ = 85660416.

The previous prime is 141520039. The next prime is 141520073. The reversal of 141520041 is 140025141.

141520041 is a `hidden beast` number, since 141 + 520 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 125552025 = 3996^2 + 11205^2 .

It is not a de Polignac number, because 141520041 - 21 = 141520039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141519996 and 141520023.

It is not an unprimeable number, because it can be changed into a prime (141520031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1032925 + ... + 1033061.

It is an arithmetic number, because the mean of its divisors is an integer number (4147935).

Almost surely, 2141520041 is an apocalyptic number.

It is an amenable number.

141520041 is a deficient number, since it is larger than the sum of its proper divisors (90764319).

141520041 is a wasteful number, since it uses less digits than its factorization.

141520041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141520041 is about 11896.2196096071. The cubic root of 141520041 is about 521.1218887062.

Adding to 141520041 its reverse (140025141), we get a palindrome (281545182).

The spelling of 141520041 in words is "one hundred forty-one million, five hundred twenty thousand, forty-one".

Divisors: 1 3 9 13 27 39 81 109 117 137 243 327 351 411 729 981 1053 1233 1417 1781 2943 3159 3699 4251 5343 8829 9477 11097 12753 14933 16029 26487 33291 38259 44799 48087 79461 99873 114777 134397 144261 194129 344331 403191 432783 582387 1032993 1209573 1298349 1747161 3628719 5241483 10886157 15724449 47173347 141520041