Search a number
-
+
34782072431 is a prime number
BaseRepresentation
bin100000011001001011…
…000100111001101111
310022210000121100111212
4200121023010321233
51032213202304211
623551220305035
72340634510661
oct403113047157
9108700540455
1034782072431
1113829633907
1268a854217b
133384030662
14197d5bc531
15d8888438b
hex8192c4e6f

34782072431 has 2 divisors, whose sum is σ = 34782072432. Its totient is φ = 34782072430.

The previous prime is 34782072427. The next prime is 34782072433. The reversal of 34782072431 is 13427028743.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34782072431 - 22 = 34782072427 is a prime.

It is a super-2 number, since 2×347820724312 (a number of 22 digits) contains 22 as substring.

Together with 34782072433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34782072433) 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, 17391036215 + 17391036216.

It is an arithmetic number, because the mean of its divisors is an integer number (17391036216).

Almost surely, 234782072431 is an apocalyptic number.

34782072431 is a deficient number, since it is larger than the sum of its proper divisors (1).

34782072431 is an equidigital number, since it uses as much as digits as its factorization.

34782072431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 34782072431 in words is "thirty-four billion, seven hundred eighty-two million, seventy-two thousand, four hundred thirty-one".