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141005096541 = 361493129553
BaseRepresentation
bin1000001101010010001…
…1110000011001011101
3111110221212222002000000
42003110203300121131
54302234301042131
6144435444324513
713121144354631
oct2032443603135
9443855862000
10141005096541
1154888779041
12233b23a3739
13103b1b94b8a
146b78d04dc1
153a040acce6
hex20d48f065d

141005096541 has 28 divisors (see below), whose sum is σ = 211554167868. Its totient is φ = 93939709824.

The previous prime is 141005096527. The next prime is 141005096567. The reversal of 141005096541 is 145690500141.

141005096541 is a `hidden beast` number, since 1 + 4 + 100 + 5 + 0 + 9 + 6 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46679330916 + 94325765625 = 216054^2 + 307125^2 .

It is not a de Polignac number, because 141005096541 - 25 = 141005096509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141005096496 and 141005096505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141005096521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1023621 + ... + 1153173.

Almost surely, 2141005096541 is an apocalyptic number.

It is an amenable number.

141005096541 is a deficient number, since it is larger than the sum of its proper divisors (70549071327).

141005096541 is an equidigital number, since it uses as much as digits as its factorization.

141005096541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131064 (or 131049 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 141005096541 its reverse (145690500141), we get a palindrome (286695596682).

The spelling of 141005096541 in words is "one hundred forty-one billion, five million, ninety-six thousand, five hundred forty-one".

Divisors: 1 3 9 27 81 243 729 1493 4479 13437 40311 120933 129553 362799 388659 1088397 1165977 3497931 10493793 31481379 94444137 193422629 580267887 1740803661 5222410983 15667232949 47001698847 141005096541