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135455441 = 11236167131
BaseRepresentation
bin10000001001011…
…10001011010001
3100102212211221012
420010232023101
5234134033231
621235140305
73233231552
oct1004561321
9312784835
10135455441
116a508750
1239444695
13220a8964
1413dc0329
15bd59e2b
hex812e2d1

135455441 has 32 divisors (see below), whose sum is σ = 160275456. Its totient is φ = 113256000.

The previous prime is 135455429. The next prime is 135455447. The reversal of 135455441 is 144554531.

It is a de Polignac number, because none of the positive numbers 2k-135455441 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135455398 and 135455407.

It is not an unprimeable number, because it can be changed into a prime (135455447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033946 + ... + 1034076.

It is an arithmetic number, because the mean of its divisors is an integer number (5008608).

Almost surely, 2135455441 is an apocalyptic number.

135455441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135455441 is a deficient number, since it is larger than the sum of its proper divisors (24820015).

135455441 is a wasteful number, since it uses less digits than its factorization.

135455441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 24000, while the sum is 32.

The square root of 135455441 is about 11638.5325965089. The cubic root of 135455441 is about 513.5690203026.

The spelling of 135455441 in words is "one hundred thirty-five million, four hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 11 23 61 67 131 253 671 737 1403 1441 1541 3013 4087 7991 8777 15433 16951 33143 44957 87901 94001 96547 183793 201871 535397 1034011 2021723 2220581 5889367 12314131 135455441