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1444442000001 = 37111323373891453
BaseRepresentation
bin10101000001001111011…
…100111100101010000001
312010002100122110022102220
4111001033130330222001
5142131204123000001
63023322325001253
7206233422264120
oct25011734745201
95102318408386
101444442000001
11507647941710
121b3b38853229
13a62970363b0
144dca8b05ab7
152788eac9c36
hex1504f73ca81

1444442000001 has 256 divisors, whose sum is σ = 2780245278720. Its totient is φ = 642519060480.

The previous prime is 1444441999997. The next prime is 1444442000009. The reversal of 1444442000001 is 1000002444441.

It is a happy number.

It is not a de Polignac number, because 1444442000001 - 22 = 1444441999997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1444442000009) 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 255 ways as a sum of consecutive naturals, for example, 994109391 + ... + 994110843.

It is an arithmetic number, because the mean of its divisors is an integer number (10860333120).

Almost surely, 21444442000001 is an apocalyptic number.

1444442000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1444442000001 is a deficient number, since it is larger than the sum of its proper divisors (1335803278719).

1444442000001 is a wasteful number, since it uses less digits than its factorization.

1444442000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1444442000001 its reverse (1000002444441), we get a palindrome (2444444444442).

The spelling of 1444442000001 in words is "one trillion, four hundred forty-four billion, four hundred forty-two million, one", and thus it is an aban number.