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444104214341441 = 31114471251501913
BaseRepresentation
bin110010011111010010001000…
…1111100000110011101000001
32011020102221121021112220021012
41210332210101330012131001
5431202200412332411231
64212310354244210305
7162354320302212443
oct14476442174063501
92136387537486235
10444104214341441
111195615a324a545
1241986456999995
13160a5b0357b024
147b94a89ab0493
153652283003e2b
hex193e911f06741

444104214341441 has 8 divisors (see below), whose sum is σ = 458470205167104. Its totient is φ = 429740726542560.

The previous prime is 444104214341399. The next prime is 444104214341483. The reversal of 444104214341441 is 144143412401444.

It is an interprime number because it is at equal distance from previous prime (444104214341399) and next prime (444104214341483).

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-444104214341441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444104214341041) 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, 625396100 + ... + 626105813.

It is an arithmetic number, because the mean of its divisors is an integer number (57308775645888).

Almost surely, 2444104214341441 is an apocalyptic number.

It is an amenable number.

444104214341441 is a deficient number, since it is larger than the sum of its proper divisors (14365990825663).

444104214341441 is a wasteful number, since it uses less digits than its factorization.

444104214341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251513391.

The product of its (nonzero) digits is 393216, while the sum is 41.

Adding to 444104214341441 its reverse (144143412401444), we get a palindrome (588247626742885).

The spelling of 444104214341441 in words is "four hundred forty-four trillion, one hundred four billion, two hundred fourteen million, three hundred forty-one thousand, four hundred forty-one".

Divisors: 1 31 11447 354857 1251501913 38796559303 14325942398111 444104214341441