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34407767041 is a prime number
BaseRepresentation
bin100000000010110111…
…001101110000000001
310021210221021200001021
4200002313031300001
51030431342021131
623450125505441
72325441123424
oct400267156001
9107727250037
1034407767041
111365731870a
126803112281
13332461748b
1419459c59bb
15d65a98e11
hex802dcdc01

34407767041 has 2 divisors, whose sum is σ = 34407767042. Its totient is φ = 34407767040.

The previous prime is 34407766997. The next prime is 34407767089. The reversal of 34407767041 is 14076770443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33634092816 + 773674225 = 183396^2 + 27815^2 .

It is a cyclic number.

It is not a de Polignac number, because 34407767041 - 29 = 34407766529 is a prime.

It is not a weakly prime, because it can be changed into another prime (34407767341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17203883520 + 17203883521.

It is an arithmetic number, because the mean of its divisors is an integer number (17203883521).

Almost surely, 234407767041 is an apocalyptic number.

It is an amenable number.

34407767041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34407767041 is an equidigital number, since it uses as much as digits as its factorization.

34407767041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 34407767041 in words is "thirty-four billion, four hundred seven million, seven hundred sixty-seven thousand, forty-one".