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4141224311 = 73141465463
BaseRepresentation
bin1111011011010110…
…0001000101110111
3101200121102222210012
43312311201011313
531440123134221
61522532450435
7204423553160
oct36665410567
911617388705
104141224311
111835682134
12976a79a1b
1350cc6a0b3
142b3dd6767
1519386e65b
hexf6d61177

4141224311 has 16 divisors (see below), whose sum is σ = 5004668928. Its totient is φ = 3351326400.

The previous prime is 4141224301. The next prime is 4141224323. The reversal of 4141224311 is 1134221414.

It is a cyclic number.

It is not a de Polignac number, because 4141224311 - 230 = 3067482487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141224301) 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 in 15 ways as a sum of consecutive naturals, for example, 223835 + ... + 241628.

It is an arithmetic number, because the mean of its divisors is an integer number (312791808).

Almost surely, 24141224311 is an apocalyptic number.

4141224311 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4141224311 is a deficient number, since it is larger than the sum of its proper divisors (863444617).

4141224311 is a wasteful number, since it uses less digits than its factorization.

4141224311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465542.

The product of its digits is 768, while the sum is 23.

The square root of 4141224311 is about 64352.3450310865. The cubic root of 4141224311 is about 1605.8670420014.

Adding to 4141224311 its reverse (1134221414), we get a palindrome (5275445725).

The spelling of 4141224311 in words is "four billion, one hundred forty-one million, two hundred twenty-four thousand, three hundred eleven".

Divisors: 1 7 31 41 217 287 1271 8897 465463 3258241 14429353 19083983 101005471 133587881 591603473 4141224311