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444001013012 = 225317357720981
BaseRepresentation
bin1100111011000001000…
…01011100110100010100
31120110001012020102112102
412131200201130310110
524233303224404022
6535545442341232
744035521224534
oct6354041346424
91513035212472
10444001013012
11161332aa6767
127207305a818
1332b3b5a840b
14176bdca94c4
15b8397a5a92
hex676085cd14

444001013012 has 48 divisors (see below), whose sum is σ = 797656244112. Its totient is φ = 216167178240.

The previous prime is 444001012993. The next prime is 444001013047. The reversal of 444001013012 is 210310100444.

It can be written as a sum of positive squares in 8 ways, for example, as 188090485636 + 255910527376 = 433694^2 + 505876^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21151562 + ... + 21172542.

It is an arithmetic number, because the mean of its divisors is an integer number (16617838419).

Almost surely, 2444001013012 is an apocalyptic number.

It is an amenable number.

444001013012 is a deficient number, since it is larger than the sum of its proper divisors (353655231100).

444001013012 is a wasteful number, since it uses less digits than its factorization.

444001013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21786 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 444001013012 its reverse (210310100444), we get a palindrome (654311113456).

The spelling of 444001013012 in words is "four hundred forty-four billion, one million, thirteen thousand, twelve".

Divisors: 1 2 4 53 106 173 212 346 577 692 1154 2308 9169 18338 20981 30581 36676 41962 61162 83924 99821 122324 199642 399284 1111993 2223986 3629713 4447972 5290513 7259426 10581026 12106037 14518852 21162052 24212074 48424148 192374789 384749578 641619961 769499156 1283239922 2094344401 2566479844 4188688802 8377377604 111000253253 222000506506 444001013012