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135108440041 = 137226832
BaseRepresentation
bin111110111010100010…
…1110010111111101001
3110220201221100212221211
41331311011302333221
54203200230040131
6142022402433121
712522053535361
oct1756505627751
9426657325854
10135108440041
1152332212803
12222276627a1
13c982340713
146779b179a1
1537ab58a5b1
hex1f75172fe9

135108440041 has 9 divisors (see below), whose sum is σ = 136152577911. Its totient is φ = 134072257392.

The previous prime is 135108440039. The next prime is 135108440063. The reversal of 135108440041 is 140044801531.

The square root of 135108440041 is 367571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79363341225 + 55745098816 = 281715^2 + 236104^2 .

It is not a de Polignac number, because 135108440041 - 21 = 135108440039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135108439985 and 135108440012.

It is not an unprimeable number, because it can be changed into a prime (135108440021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50355886 + ... + 50358568.

Almost surely, 2135108440041 is an apocalyptic number.

135108440041 is the 367571-st square number.

135108440041 is the 183786-th centered octagonal number.

It is an amenable number.

135108440041 is a deficient number, since it is larger than the sum of its proper divisors (1044137870).

135108440041 is an frugal number, since it uses more digits than its factorization.

135108440041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 135108440041 in words is "one hundred thirty-five billion, one hundred eight million, four hundred forty thousand, forty-one".

Divisors: 1 137 2683 18769 367571 7198489 50357227 986192993 135108440041