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4404122505317 is a prime number
BaseRepresentation
bin100000000010110101000…
…1010000101000001100101
3120121000210212111001002002
41000011222022011001211
51034124120330132232
613211120445455045
7633121155425063
oct100055212050145
916530725431062
104404122505317
111448861380257
125b166b871485
1325c3cb54b822
14113236c25033
1579864776b62
hex4016a285065

4404122505317 has 2 divisors, whose sum is σ = 4404122505318. Its totient is φ = 4404122505316.

The previous prime is 4404122505253. The next prime is 4404122505319. The reversal of 4404122505317 is 7135052214044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4145096474401 + 259026030916 = 2035951^2 + 508946^2 .

It is a cyclic number.

It is not a de Polignac number, because 4404122505317 - 26 = 4404122505253 is a prime.

Together with 4404122505319, 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 (4404122505319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2202061252658 + 2202061252659.

It is an arithmetic number, because the mean of its divisors is an integer number (2202061252659).

Almost surely, 24404122505317 is an apocalyptic number.

It is an amenable number.

4404122505317 is a deficient number, since it is larger than the sum of its proper divisors (1).

4404122505317 is an equidigital number, since it uses as much as digits as its factorization.

4404122505317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 4404122505317 in words is "four trillion, four hundred four billion, one hundred twenty-two million, five hundred five thousand, three hundred seventeen".