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4144400233 = 171311860979
BaseRepresentation
bin1111011100000110…
…1000011101101001
3101200211102100022221
43313001220131221
531441431301413
61523124514041
7204462551341
oct36701503551
911624370287
104144400233
111837451266
12977b4b921
1351080c83c
142b45c1d21
15193c9a68d
hexf7068769

4144400233 has 8 divisors (see below), whose sum is σ = 4421688480. Its totient is φ = 3870834240.

The previous prime is 4144400203. The next prime is 4144400269. The reversal of 4144400233 is 3320044414.

4144400233 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4144400233 is a prime.

It is a super-3 number, since 3×41444002333 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144400198 and 4144400207.

It is not an unprimeable number, because it can be changed into a prime (4144400203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928263 + ... + 932716.

It is an arithmetic number, because the mean of its divisors is an integer number (552711060).

Almost surely, 24144400233 is an apocalyptic number.

It is an amenable number.

4144400233 is a deficient number, since it is larger than the sum of its proper divisors (277288247).

4144400233 is a wasteful number, since it uses less digits than its factorization.

4144400233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861127.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4144400233 is about 64377.0163412378. The cubic root of 4144400233 is about 1606.2774524562.

Adding to 4144400233 its reverse (3320044414), we get a palindrome (7464444647).

The spelling of 4144400233 in words is "four billion, one hundred forty-four million, four hundred thousand, two hundred thirty-three".

Divisors: 1 17 131 2227 1860979 31636643 243788249 4144400233