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444000002440 = 23511100000061
BaseRepresentation
bin1100111011000000111…
…01100110000110001000
31120110001010100002021211
412131200131212012020
524233303000034230
6535545404542504
744035506515341
oct6354035460610
91513033302254
10444000002440
11161332476485
1272072851a34
1332b3b313447
14176bdac50c8
15b83965642a
hex6760766188

444000002440 has 16 divisors (see below), whose sum is σ = 999000005580. Its totient is φ = 177600000960.

The previous prime is 444000002429. The next prime is 444000002447. The reversal of 444000002440 is 44200000444.

It can be written as a sum of positive squares in 2 ways, for example, as 441924471076 + 2075531364 = 664774^2 + 45558^2 .

It is not an unprimeable number, because it can be changed into a prime (444000002447) 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 3 ways as a sum of consecutive naturals, for example, 5549999991 + ... + 5550000070.

Almost surely, 2444000002440 is an apocalyptic number.

444000002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444000002440 is an abundant number, since it is smaller than the sum of its proper divisors (555000003140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444000002440 is a wasteful number, since it uses less digits than its factorization.

444000002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100000072 (or 11100000068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 444000002440 its reverse (44200000444), we get a palindrome (488200002884).

The spelling of 444000002440 in words is "four hundred forty-four billion, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11100000061 22200000122 44400000244 55500000305 88800000488 111000000610 222000001220 444000002440