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1443444443441 = 7112131747191859
BaseRepresentation
bin10101000000010011111…
…111100100100100110001
312002222210010101012002122
4111000103333210210301
5142122133234142231
63023035331524025
7206166620221010
oct25002377444461
95088703335078
101443444443441
11507185837700
121b38ba759615
13a6168473440
144dc12432a77
152783222c77b
hex15013fe4931

1443444443441 has 192 divisors, whose sum is σ = 2125118177280. Its totient is φ = 950263142400.

The previous prime is 1443444443417. The next prime is 1443444443489.

1443444443441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1443444443441 - 26 = 1443444443377 is a prime.

It is a super-2 number, since 2×14434444434412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1443444443392 and 1443444443401.

It is not an unprimeable number, because it can be changed into a prime (1443444443491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1680377270 + ... + 1680378128.

It is an arithmetic number, because the mean of its divisors is an integer number (11068323840).

Almost surely, 21443444443441 is an apocalyptic number.

1443444443441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1443444443441 is a deficient number, since it is larger than the sum of its proper divisors (681673733839).

1443444443441 is a wasteful number, since it uses less digits than its factorization.

1443444443441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1145 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

The spelling of 1443444443441 in words is "one trillion, four hundred forty-three billion, four hundred forty-four million, four hundred forty-three thousand, four hundred forty-one".