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34320232141 = 1319321416389
BaseRepresentation
bin11111111101101001…
…010010111011001101
310021120211120102201221
4133331221102323031
51030241434412031
623433321403341
72323326105556
oct377551227315
9107524512657
1034320232141
1113611970418
126799939551
13330c449590
14193811b32d
15d5d057a11
hex7fda52ecd

34320232141 has 16 divisors (see below), whose sum is σ = 37174924080. Its totient is φ = 31496417280.

The previous prime is 34320232139. The next prime is 34320232151. The reversal of 34320232141 is 14123202343.

It can be written as a sum of positive squares in 8 ways, for example, as 5513656516 + 28806575625 = 74254^2 + 169725^2 .

It is a cyclic number.

It is not a de Polignac number, because 34320232141 - 21 = 34320232139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320232151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5368575 + ... + 5374963.

It is an arithmetic number, because the mean of its divisors is an integer number (2323432755).

Almost surely, 234320232141 is an apocalyptic number.

It is an amenable number.

34320232141 is a deficient number, since it is larger than the sum of its proper divisors (2854691939).

34320232141 is a wasteful number, since it uses less digits than its factorization.

34320232141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34320232141 its reverse (14123202343), we get a palindrome (48443434484).

The spelling of 34320232141 in words is "thirty-four billion, three hundred twenty million, two hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 13 193 2141 2509 6389 27833 83057 413213 1233077 5371769 13678849 16030001 177825037 2640017857 34320232141