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34041446225 = 522604152289
BaseRepresentation
bin11111101101000001…
…110011111101010001
310020212101222122100122
4133231001303331101
51024204102234400
623345522200025
72313402342623
oct375501637521
9106771878318
1034041446225
1113489566436
1267204b3015
1332967686b7
14190d0aac13
15d43839685
hex7ed073f51

34041446225 has 12 divisors (see below), whose sum is σ = 42213821580. Its totient is φ = 27231590400.

The previous prime is 34041446209. The next prime is 34041446233. The reversal of 34041446225 is 52264414043.

It can be written as a sum of positive squares in 6 ways, for example, as 242829889 + 33798616336 = 15583^2 + 183844^2 .

It is not a de Polignac number, because 34041446225 - 24 = 34041446209 is a prime.

It is a super-2 number, since 2×340414462252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624881 + ... + 677169.

It is an arithmetic number, because the mean of its divisors is an integer number (3517818465).

Almost surely, 234041446225 is an apocalyptic number.

It is an amenable number.

34041446225 is a deficient number, since it is larger than the sum of its proper divisors (8172375355).

34041446225 is a wasteful number, since it uses less digits than its factorization.

34041446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78340 (or 78335 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 34041446225 in words is "thirty-four billion, forty-one million, four hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 26041 52289 130205 261445 651025 1307225 1361657849 6808289245 34041446225