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344204430125 = 533071389657
BaseRepresentation
bin1010000001001000010…
…11101100101100101101
31012220110012100202002212
411000210023230230231
521114412313231000
6422043023300205
733603464245043
oct5004413545455
91186405322085
10344204430125
11122a81477986
125686144a665
13265c5c7b43a
1412933c7a393
158e4834cc35
hex50242ecb2d

344204430125 has 16 divisors (see below), whose sum is σ = 429585906672. Its totient is φ = 275351507200.

The previous prime is 344204430121. The next prime is 344204430173. The reversal of 344204430125 is 521034402443.

It can be written as a sum of positive squares in 8 ways, for example, as 399280324 + 343805149801 = 19982^2 + 586349^2 .

It is not a de Polignac number, because 344204430125 - 22 = 344204430121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344204430091 and 344204430100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344204430121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3794297 + ... + 3883953.

It is an arithmetic number, because the mean of its divisors is an integer number (26849119167).

Almost surely, 2344204430125 is an apocalyptic number.

It is an amenable number.

344204430125 is a deficient number, since it is larger than the sum of its proper divisors (85381476547).

344204430125 is an equidigital number, since it uses as much as digits as its factorization.

344204430125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120385 (or 120375 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 344204430125 its reverse (521034402443), we get a palindrome (865238832568).

The spelling of 344204430125 in words is "three hundred forty-four billion, two hundred four million, four hundred thirty thousand, one hundred twenty-five".

Divisors: 1 5 25 125 30713 89657 153565 448285 767825 2241425 3839125 11207125 2753635441 13768177205 68840886025 344204430125