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224003334101141 = 7231314605420493
BaseRepresentation
bin110010111011101011010111…
…001010000101100010010101
31002101010111202111111011002202
4302323223113022011202111
5213330032312012214031
62112225413331014245
765116464303624200
oct6273532712054225
91071114674434082
10224003334101141
116541330a388541
122115941b43a385
1397cb56803024a
143d45b67d16937
151ad6c9296c2cb
hexcbbad7285895

224003334101141 has 12 divisors (see below), whose sum is σ = 261407816001612. Its totient is φ = 191389430127168.

The previous prime is 224003334101089. The next prime is 224003334101147. The reversal of 224003334101141 is 141101433300422.

It can be written as a sum of positive squares in 2 ways, for example, as 3092216740900 + 220911117360241 = 1758470^2 + 14863079^2 .

It is not a de Polignac number, because 224003334101141 - 214 = 224003334084757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224003334101147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7302694910 + ... + 7302725583.

It is an arithmetic number, because the mean of its divisors is an integer number (21783984666801).

Almost surely, 2224003334101141 is an apocalyptic number.

It is an amenable number.

224003334101141 is a deficient number, since it is larger than the sum of its proper divisors (37404481900471).

224003334101141 is a wasteful number, since it uses less digits than its factorization.

224003334101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14605420820 (or 14605420813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 224003334101141 its reverse (141101433300422), we get a palindrome (365104767401563).

The spelling of 224003334101141 in words is "two hundred twenty-four trillion, three billion, three hundred thirty-four million, one hundred one thousand, one hundred forty-one".

Divisors: 1 7 49 313 2191 15337 14605420493 102237943451 715665604157 4571496614309 32000476300163 224003334101141