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135414412541 is a prime number
BaseRepresentation
bin111111000011101010…
…0111111010011111101
3110221112021002220022122
41332013110333103331
54204312042200131
6142113012452325
712532460341442
oct1760724772375
9427467086278
10135414412541
11524799a6441
12222b201a0a5
13ca0084cb35
1467a86039c9
1537c8378d7b
hex1f8753f4fd

135414412541 has 2 divisors, whose sum is σ = 135414412542. Its totient is φ = 135414412540.

The previous prime is 135414412493. The next prime is 135414412571. The reversal of 135414412541 is 145214414531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113532606916 + 21881805625 = 336946^2 + 147925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135414412541 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135414412571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67707206270 + 67707206271.

It is an arithmetic number, because the mean of its divisors is an integer number (67707206271).

Almost surely, 2135414412541 is an apocalyptic number.

It is an amenable number.

135414412541 is a deficient number, since it is larger than the sum of its proper divisors (1).

135414412541 is an equidigital number, since it uses as much as digits as its factorization.

135414412541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38400, while the sum is 35.

The spelling of 135414412541 in words is "one hundred thirty-five billion, four hundred fourteen million, four hundred twelve thousand, five hundred forty-one".