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135444441 = 3119774201
BaseRepresentation
bin10000001001010…
…11011111011001
3100102212021211210
420010223133121
5234133210231
621235013333
73233154516
oct1004533731
9312767753
10135444441
116a500460
123943a249
13220a3952
1413dba30d
15bd56a46
hex812b7d9

135444441 has 16 divisors (see below), whose sum is σ = 197258688. Its totient is φ = 81984000.

The previous prime is 135444431. The next prime is 135444451. The reversal of 135444441 is 144444531.

135444441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135444431) and next prime (135444451).

It is not a de Polignac number, because 135444441 - 221 = 133347289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135444399 and 135444408.

It is not an unprimeable number, because it can be changed into a prime (135444431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30141 + ... + 34341.

It is an arithmetic number, because the mean of its divisors is an integer number (12328668).

Almost surely, 2135444441 is an apocalyptic number.

135444441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135444441 is a deficient number, since it is larger than the sum of its proper divisors (61814247).

135444441 is a wasteful number, since it uses less digits than its factorization.

135444441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192.

The product of its digits is 15360, while the sum is 30.

The square root of 135444441 is about 11638.0600187488. The cubic root of 135444441 is about 513.5551180380. Note that the first 3 decimals are identical.

Adding to 135444441 its reverse (144444531), we get a palindrome (279888972).

The spelling of 135444441 in words is "one hundred thirty-five million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 11 33 977 2931 4201 10747 12603 32241 46211 138633 4104377 12313131 45148147 135444441