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344144404041 = 3177985416829
BaseRepresentation
bin1010000001000001001…
…10101101111001001001
31012220022000102002210120
411000200212231321021
521114301431412131
6422033040533453
733602135111634
oct5004046557111
91186260362716
10344144404041
11122a505a9449
1256845321289
13265b66c2649
1412929cd2c1b
158e42e42496
hex50209ade49

344144404041 has 16 divisors (see below), whose sum is σ = 492000940800. Its totient is φ = 213200402688.

The previous prime is 344144404031. The next prime is 344144404141. The reversal of 344144404041 is 140404441443.

It is not a de Polignac number, because 344144404041 - 27 = 344144403913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344144403993 and 344144404011.

It is not an unprimeable number, because it can be changed into a prime (344144404031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42704386 + ... + 42712443.

It is an arithmetic number, because the mean of its divisors is an integer number (30750058800).

Almost surely, 2344144404041 is an apocalyptic number.

It is an amenable number.

344144404041 is a deficient number, since it is larger than the sum of its proper divisors (147856536759).

344144404041 is a wasteful number, since it uses less digits than its factorization.

344144404041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85416928.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 344144404041 its reverse (140404441443), we get a palindrome (484548845484).

The spelling of 344144404041 in words is "three hundred forty-four billion, one hundred forty-four million, four hundred four thousand, forty-one".

Divisors: 1 3 17 51 79 237 1343 4029 85416829 256250487 1452086093 4356258279 6747929491 20243788473 114714801347 344144404041