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34441043437 is a prime number
BaseRepresentation
bin100000000100110110…
…001001110111101101
310021220020220021200101
4200010312021313231
51031013401342222
623453315031101
72326324016233
oct400466116755
9107806807611
1034441043437
1113674086769
12681229b491
13332b498858
14194a1a8953
15d6896d927
hex804d89ded

34441043437 has 2 divisors, whose sum is σ = 34441043438. Its totient is φ = 34441043436.

The previous prime is 34441043411. The next prime is 34441043447. The reversal of 34441043437 is 73434014443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18165917961 + 16275125476 = 134781^2 + 127574^2 .

It is a cyclic number.

It is not a de Polignac number, because 34441043437 - 211 = 34441041389 is a prime.

It is a super-3 number, since 3×344410434373 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34441043396 and 34441043405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34441043447) 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 as a sum of consecutive naturals, namely, 17220521718 + 17220521719.

It is an arithmetic number, because the mean of its divisors is an integer number (17220521719).

Almost surely, 234441043437 is an apocalyptic number.

It is an amenable number.

34441043437 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441043437 is an equidigital number, since it uses as much as digits as its factorization.

34441043437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 34441043437 in words is "thirty-four billion, four hundred forty-one million, forty-three thousand, four hundred thirty-seven".