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444001031043401 = 13611374086864361
BaseRepresentation
bin110010011110100010000101…
…1101111000011100101001001
32011020002002021020222021001002
41210331010023233003211021
5431144003102421342101
64212151131404104345
7162344005312515566
oct14475041357034511
92136062236867032
10444001031043401
11119521863a39517
124196a45ab350b5
131609916b3c9ca0
147b8da9bd7186d
15364e7445b9d6b
hex193d10bbc3949

444001031043401 has 16 divisors (see below), whose sum is σ = 489540960737808. Its totient is φ = 400185758131200.

The previous prime is 444001031043391. The next prime is 444001031043457. The reversal of 444001031043401 is 104340130100444.

It can be written as a sum of positive squares in 8 ways, for example, as 99337201908025 + 344663829135376 = 9966805^2 + 18565124^2 .

It is a cyclic number.

It is not a de Polignac number, because 444001031043401 - 26 = 444001031043337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444001031043001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2043323540 + ... + 2043540821.

It is an arithmetic number, because the mean of its divisors is an integer number (30596310046113).

Almost surely, 2444001031043401 is an apocalyptic number.

It is an amenable number.

444001031043401 is a deficient number, since it is larger than the sum of its proper divisors (45539929694407).

444001031043401 is a wasteful number, since it uses less digits than its factorization.

444001031043401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086864572.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 444001031043401 its reverse (104340130100444), we get a palindrome (548341161143845).

The spelling of 444001031043401 in words is "four hundred forty-four trillion, one billion, thirty-one million, forty-three thousand, four hundred one".

Divisors: 1 13 61 137 793 1781 8357 108641 4086864361 53129236693 249298726021 559900417457 3240883438273 7278705426941 34153925464877 444001031043401