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344351225125 = 5321961125441
BaseRepresentation
bin1010000001011001110…
…11101011010100100101
31012220211102120200222201
411000230323223110211
521120212403201000
6422105345454501
733610226055565
oct5005473532445
91186742520881
10344351225125
11123047320166
12568a2641431
132661a4c759b
141294956cda5
158e5619796a
hex502ceeb525

344351225125 has 16 divisors (see below), whose sum is σ = 429773323824. Its totient is φ = 275466240000.

The previous prime is 344351225107. The next prime is 344351225159. The reversal of 344351225125 is 521522153443.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 124467134401 + 219884090724 = 352799^2 + 468918^2 .

It is not a de Polignac number, because 344351225125 - 221 = 344349127973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682405 + ... + 2807845.

It is an arithmetic number, because the mean of its divisors is an integer number (26860832739).

Almost surely, 2344351225125 is an apocalyptic number.

It is an amenable number.

344351225125 is a deficient number, since it is larger than the sum of its proper divisors (85422098699).

344351225125 is a wasteful number, since it uses less digits than its factorization.

344351225125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147417 (or 147407 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

Adding to 344351225125 its reverse (521522153443), we get a palindrome (865873378568).

The spelling of 344351225125 in words is "three hundred forty-four billion, three hundred fifty-one million, two hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 21961 109805 125441 549025 627205 2745125 3136025 15680125 2754809801 13774049005 68870245025 344351225125