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34043446241 = 72694764209
BaseRepresentation
bin11111101101001001…
…011100001111100001
310020212112202020212022
4133231021130033201
51024210110234431
623350033111225
72313425342600
oct375511341741
9106775666768
1034043446241
111348a702042
1267210b8515
133296cb8b3c
14190d46ba37
15d43ad207b
hex7ed25c3e1

34043446241 has 6 divisors (see below), whose sum is σ = 39601559970. Its totient is φ = 29180096736.

The previous prime is 34043446223. The next prime is 34043446277. The reversal of 34043446241 is 14264434043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30870490000 + 3172956241 = 175700^2 + 56329^2 .

It is a de Polignac number, because none of the positive numbers 2k-34043446241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34043446741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347382056 + ... + 347382153.

It is an arithmetic number, because the mean of its divisors is an integer number (6600259995).

Almost surely, 234043446241 is an apocalyptic number.

It is an amenable number.

34043446241 is a deficient number, since it is larger than the sum of its proper divisors (5558113729).

34043446241 is an equidigital number, since it uses as much as digits as its factorization.

34043446241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694764223 (or 694764216 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 34043446241 in words is "thirty-four billion, forty-three million, four hundred forty-six thousand, two hundred forty-one".

Divisors: 1 7 49 694764209 4863349463 34043446241