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444001223131 = 3174171931053
BaseRepresentation
bin1100111011000001000…
…10010000000111011011
31120110001012122002202121
412131200202100013123
524233303303120011
6535545451042111
744035523061244
oct6354042200733
91513035562677
10444001223131
1116133312a614
1272073140337
1332b3b64cc4b
14176bdd21ccb
15b8397e7e71
hex67608901db

444001223131 has 8 divisors (see below), whose sum is σ = 458385874304. Its totient is φ = 429620448960.

The previous prime is 444001223059. The next prime is 444001223147. The reversal of 444001223131 is 131322100444.

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

It is not a de Polignac number, because 444001223131 - 225 = 443967668699 is a prime.

It is a super-2 number, since 2×4440012231312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444001223096 and 444001223105.

It is not an unprimeable number, because it can be changed into a prime (444001223191) 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, 735600 + ... + 1195453.

It is an arithmetic number, because the mean of its divisors is an integer number (57298234288).

Almost surely, 2444001223131 is an apocalyptic number.

444001223131 is a deficient number, since it is larger than the sum of its proper divisors (14384651173).

444001223131 is a wasteful number, since it uses less digits than its factorization.

444001223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938501.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 444001223131 its reverse (131322100444), we get a palindrome (575323323575).

The spelling of 444001223131 in words is "four hundred forty-four billion, one million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 31 7417 229927 1931053 59862643 14322620101 444001223131