Search a number
-
+
244114202429 is a prime number
BaseRepresentation
bin1110001101011001010…
…1110001111100111101
3212100002201221100201122
43203112111301330331
512444421213434204
6304051114320325
723431243325036
oct3432625617475
9770081840648
10244114202429
119458a115439
123b3894290a5
131a03486a236
14bb5ac4da8d
15653b23e0be
hex38d6571f3d

244114202429 has 2 divisors, whose sum is σ = 244114202430. Its totient is φ = 244114202428.

The previous prime is 244114202399. The next prime is 244114202443. The reversal of 244114202429 is 924202411442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171590635225 + 72523567204 = 414235^2 + 269302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-244114202429 is a prime.

It is a super-3 number, since 3×2441142024293 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (244114202459) 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, 122057101214 + 122057101215.

It is an arithmetic number, because the mean of its divisors is an integer number (122057101215).

Almost surely, 2244114202429 is an apocalyptic number.

It is an amenable number.

244114202429 is a deficient number, since it is larger than the sum of its proper divisors (1).

244114202429 is an equidigital number, since it uses as much as digits as its factorization.

244114202429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 244114202429 in words is "two hundred forty-four billion, one hundred fourteen million, two hundred two thousand, four hundred twenty-nine".