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1004444444321 = 17201729293489
BaseRepresentation
bin11101001110111011000…
…11011110011010100001
310120000122110102120220222
432213131203132122201
5112424100234204241
62045234014212425
7132366032622443
oct16473543363241
93500573376828
101004444444321
11357a8978077a
121428024b4115
1373945cc0256
1436888810493
151b1dba2da4b
hexe9dd8de6a1

1004444444321 has 8 divisors (see below), whose sum is σ = 1064056730760. Its totient is φ = 944890748928.

The previous prime is 1004444444257. The next prime is 1004444444347. The reversal of 1004444444321 is 1234444444001.

It can be written as a sum of positive squares in 4 ways, for example, as 628791905296 + 375652539025 = 792964^2 + 612905^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1004444444321 - 26 = 1004444444257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004444444821) 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, 14612456 + ... + 14681033.

It is an arithmetic number, because the mean of its divisors is an integer number (133007091345).

Almost surely, 21004444444321 is an apocalyptic number.

It is an amenable number.

1004444444321 is a deficient number, since it is larger than the sum of its proper divisors (59612286439).

1004444444321 is a wasteful number, since it uses less digits than its factorization.

1004444444321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29295523.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 1004444444321 its reverse (1234444444001), we get a palindrome (2238888888322).

The spelling of 1004444444321 in words is "one trillion, four billion, four hundred forty-four million, four hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 17 2017 34289 29293489 497989313 59084967313 1004444444321