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434104100113441 is a prime number
BaseRepresentation
bin110001010110100001011110…
…0101011101100110000100001
32002221000221120010101021002011
41202231002330223230300201
5423344330144112112231
64135132400454552521
7160302662165603662
oct14255027453546041
92087027503337064
10434104100113441
1111635657349731a
1240830348968741
131582bac1869b94
14792aa71729369
15352c09d04a9b1
hex18ad0bcaecc21

434104100113441 has 2 divisors, whose sum is σ = 434104100113442. Its totient is φ = 434104100113440.

The previous prime is 434104100113429. The next prime is 434104100113499. The reversal of 434104100113441 is 144311001401434.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373003363757025 + 61100736356416 = 19313295^2 + 7816696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434104100113441 is a prime.

It is not a weakly prime, because it can be changed into another prime (434104103113441) 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 as a sum of consecutive naturals, namely, 217052050056720 + 217052050056721.

It is an arithmetic number, because the mean of its divisors is an integer number (217052050056721).

Almost surely, 2434104100113441 is an apocalyptic number.

It is an amenable number.

434104100113441 is a deficient number, since it is larger than the sum of its proper divisors (1).

434104100113441 is an equidigital number, since it uses as much as digits as its factorization.

434104100113441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 434104100113441 its reverse (144311001401434), we get a palindrome (578415101514875).

The spelling of 434104100113441 in words is "four hundred thirty-four trillion, one hundred four billion, one hundred million, one hundred thirteen thousand, four hundred forty-one".