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42044044204133 is a prime number
BaseRepresentation
bin10011000111101001001000…
…10100011101100001100101
312111212101000201201020220022
421203310210110131201211
521002322200304013013
6225230433421244525
711566403416104146
oct1143644424354145
9174771021636808
1042044044204133
111243a86295a364
124870501403745
131a5c975a0c08a
14a54d2a6b5acd
154cd9de789008
hex263d2451d865

42044044204133 has 2 divisors, whose sum is σ = 42044044204134. Its totient is φ = 42044044204132.

The previous prime is 42044044204039. The next prime is 42044044204163. The reversal of 42044044204133 is 33140244044024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27066973923649 + 14977070280484 = 5202593^2 + 3870022^2 .

It is a cyclic number.

It is not a de Polignac number, because 42044044204133 - 228 = 42043775768677 is a prime.

It is a super-3 number, since 3×420440442041333 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42044044204093 and 42044044204102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42044044204163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21022022102066 + 21022022102067.

It is an arithmetic number, because the mean of its divisors is an integer number (21022022102067).

Almost surely, 242044044204133 is an apocalyptic number.

It is an amenable number.

42044044204133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42044044204133 is an equidigital number, since it uses as much as digits as its factorization.

42044044204133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 42044044204133 its reverse (33140244044024), we get a palindrome (75184288248157).

The spelling of 42044044204133 in words is "forty-two trillion, forty-four billion, forty-four million, two hundred four thousand, one hundred thirty-three".