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224014004141 is a prime number
BaseRepresentation
bin1101000010100001000…
…1100110111110101101
3210102012220212111021012
43100220101212332231
512132240041113031
6250524405315005
722120163421614
oct3205021467655
9712186774235
10224014004141
1187005079a14
12374b9a05a65
13181804ac795
14abb152487b
155c617ceb2b
hex3428466fad

224014004141 has 2 divisors, whose sum is σ = 224014004142. Its totient is φ = 224014004140.

The previous prime is 224014004113. The next prime is 224014004147. The reversal of 224014004141 is 141400410422.

224014004141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147420674116 + 76593330025 = 383954^2 + 276755^2 .

It is a cyclic number.

It is not a de Polignac number, because 224014004141 - 230 = 222940262317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224014004147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112007002070 + 112007002071.

It is an arithmetic number, because the mean of its divisors is an integer number (112007002071).

Almost surely, 2224014004141 is an apocalyptic number.

It is an amenable number.

224014004141 is a deficient number, since it is larger than the sum of its proper divisors (1).

224014004141 is an equidigital number, since it uses as much as digits as its factorization.

224014004141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 224014004141 its reverse (141400410422), we get a palindrome (365414414563).

The spelling of 224014004141 in words is "two hundred twenty-four billion, fourteen million, four thousand, one hundred forty-one".