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444466664444 = 2211101151662351
BaseRepresentation
bin1100111011111000100…
…01110001001111111100
31120111020122102222012202
412131330101301033330
524240231431230234
6540103555051032
744053204212065
oct6357421611774
91514218388182
10444466664444
11161551932560
1272182ba0a78
1332bb3bc50ca
1417725a7d56c
15b8655d677e
hex677c4713fc

444466664444 has 48 divisors (see below), whose sum is σ = 862604854272. Its totient is φ = 198705000000.

The previous prime is 444466664443. The next prime is 444466664507.

444466664444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444466664444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444466664443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339869 + ... + 1002219.

It is an arithmetic number, because the mean of its divisors is an integer number (17970934464).

Almost surely, 2444466664444 is an apocalyptic number.

444466664444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444466664444 is a deficient number, since it is larger than the sum of its proper divisors (418138189828).

444466664444 is a wasteful number, since it uses less digits than its factorization.

444466664444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662618 (or 662616 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 56.

The spelling of 444466664444 in words is "four hundred forty-four billion, four hundred sixty-six million, six hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 151 202 302 404 604 1111 1661 2222 3322 4444 6644 15251 30502 61004 167761 335522 662351 671044 1324702 2649404 7285861 14571722 29143444 66897451 100015001 133794902 200030002 267589804 400060004 735871961 1100165011 1471743922 2200330022 2943487844 4400660044 10101515101 20203030202 40406060404 111116666111 222233332222 444466664444