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34457413241 is a prime number
BaseRepresentation
bin100000000101110100…
…100110011001111001
310021221101200221211102
4200011310212121321
51031032044210431
623455101541145
72326613115506
oct400564463171
9107841627742
1034457413241
1113682347629
1268178747b5
1333319aa824
14194c42a4ad
15d6a103dcb
hex805d26679

34457413241 has 2 divisors, whose sum is σ = 34457413242. Its totient is φ = 34457413240.

The previous prime is 34457413171. The next prime is 34457413253. The reversal of 34457413241 is 14231475443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18117160000 + 16340253241 = 134600^2 + 127829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34457413241 is a prime.

It is a super-2 number, since 2×344574132412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34457413195 and 34457413204.

It is not a weakly prime, because it can be changed into another prime (34457416241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17228706620 + 17228706621.

It is an arithmetic number, because the mean of its divisors is an integer number (17228706621).

Almost surely, 234457413241 is an apocalyptic number.

It is an amenable number.

34457413241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34457413241 is an equidigital number, since it uses as much as digits as its factorization.

34457413241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 161280, while the sum is 38.

Adding to 34457413241 its reverse (14231475443), we get a palindrome (48688888684).

The spelling of 34457413241 in words is "thirty-four billion, four hundred fifty-seven million, four hundred thirteen thousand, two hundred forty-one".