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135354240441 = 3273329645383
BaseRepresentation
bin111111000001110111…
…1011100110110111001
3110221101001212211201100
41332003233130312321
54204201141143231
6142103023042013
712531130026540
oct1760357346671
9427331784640
10135354240441
1152448a38232
1222295a40309
13c9c1242744
1467a061d157
1537c2e401e6
hex1f83bdcdb9

135354240441 has 24 divisors (see below), whose sum is σ = 223509386880. Its totient is φ = 77321926656.

The previous prime is 135354240433. The next prime is 135354240443. The reversal of 135354240441 is 144042453531.

135354240441 is a `hidden beast` number, since 1 + 3 + 535 + 42 + 40 + 4 + 41 = 666.

It is not a de Polignac number, because 135354240441 - 23 = 135354240433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135354240396 and 135354240405.

It is not an unprimeable number, because it can be changed into a prime (135354240443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112965 + ... + 532418.

It is an arithmetic number, because the mean of its divisors is an integer number (9312891120).

Almost surely, 2135354240441 is an apocalyptic number.

It is an amenable number.

135354240441 is a deficient number, since it is larger than the sum of its proper divisors (88155146439).

135354240441 is a wasteful number, since it uses less digits than its factorization.

135354240441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648725 (or 648722 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 135354240441 its reverse (144042453531), we get a palindrome (279396693972).

The spelling of 135354240441 in words is "one hundred thirty-five billion, three hundred fifty-four million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 3329 9987 23303 29961 69909 209727 645383 1936149 4517681 5808447 13553043 40659129 2148480007 6445440021 15039360049 19336320063 45118080147 135354240441