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444241441410013 = 1342709800122189
BaseRepresentation
bin110010100000010010000010…
…1010011110100101111011101
32011020221001210212111021012101
41211000210011103310233131
5431211422433000110023
64212453411212405101
7162400246023102532
oct14500440523645735
92136831725437171
10444241441410013
11119604812364215
12419a8b73a76791
13160b5a327cc6a0
147b9b586d22d89
153655b155861ad
hex19409054f4bdd

444241441410013 has 8 divisors (see below), whose sum is σ = 478425062288600. Its totient is φ = 410059420861248.

The previous prime is 444241441409999. The next prime is 444241441410017. The reversal of 444241441410013 is 310014144142444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14161990350564 + 430079451059449 = 3763242^2 + 20738357^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444241441410013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444241441410017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399505878 + ... + 400616311.

It is an arithmetic number, because the mean of its divisors is an integer number (59803132786075).

Almost surely, 2444241441410013 is an apocalyptic number.

It is an amenable number.

444241441410013 is a deficient number, since it is larger than the sum of its proper divisors (34183620878587).

444241441410013 is a wasteful number, since it uses less digits than its factorization.

444241441410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800164911.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 444241441410013 its reverse (310014144142444), we get a palindrome (754255585552457).

The spelling of 444241441410013 in words is "four hundred forty-four trillion, two hundred forty-one billion, four hundred forty-one million, four hundred ten thousand, thirteen".

Divisors: 1 13 42709 555217 800122189 10401588457 34172418570001 444241441410013