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344334113402441 = 5342958115123737
BaseRepresentation
bin100111001001010111000100…
…0100000110110111001001001
31200011012000112101212201120112
41032102232020200312321021
5330113032231012334231
63220200524040204105
7132346214216600231
oct11622561040667111
91604160471781515
10344334113402441
119a796306275638
1232752311a69635
1311a1974bc37326
146105c07c30cc1
1529c1dc19e492b
hex1392b88836e49

344334113402441 has 8 divisors (see below), whose sum is σ = 350831823345864. Its totient is φ = 337836434565760.

The previous prime is 344334113402401. The next prime is 344334113402443. The reversal of 344334113402441 is 144204311433443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6292647505225 + 338041465897216 = 2508515^2 + 18385904^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344334113402441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344334113402443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15205925 + ... + 30329661.

It is an arithmetic number, because the mean of its divisors is an integer number (43853977918233).

Almost surely, 2344334113402441 is an apocalyptic number.

It is an amenable number.

344334113402441 is a deficient number, since it is larger than the sum of its proper divisors (6497709943423).

344334113402441 is a wasteful number, since it uses less digits than its factorization.

344334113402441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15553371.

The product of its (nonzero) digits is 663552, while the sum is 41.

Adding to 344334113402441 its reverse (144204311433443), we get a palindrome (488538424835884).

The spelling of 344334113402441 in words is "three hundred forty-four trillion, three hundred thirty-four billion, one hundred thirteen million, four hundred two thousand, four hundred forty-one".

Divisors: 1 53 429581 15123737 22767793 801558061 6496870064197 344334113402441