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444002333121 = 3249333592569
BaseRepresentation
bin1100111011000001001…
…10011111000111000001
31120110001021201111101100
412131200212133013001
524233304044124441
6535545530525013
744035535363334
oct6354046370701
91513037644340
10444002333121
11161333818566
1272073596769
1332b3b94b249
14176c013061b
15b839966cb6
hex676099f1c1

444002333121 has 6 divisors (see below), whose sum is σ = 641336703410. Its totient is φ = 296001555408.

The previous prime is 444002333119. The next prime is 444002333123. The reversal of 444002333121 is 121333200444.

444002333121 is a `hidden beast` number, since 4 + 4 + 400 + 233 + 3 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (444002333119) and next prime (444002333123).

It can be written as a sum of positive squares in only one way, i.e., 360648291600 + 83354041521 = 600540^2 + 288711^2 .

It is not a de Polignac number, because 444002333121 - 21 = 444002333119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444002333123) 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 5 ways as a sum of consecutive naturals, for example, 24666796276 + ... + 24666796293.

Almost surely, 2444002333121 is an apocalyptic number.

It is an amenable number.

444002333121 is a deficient number, since it is larger than the sum of its proper divisors (197334370289).

444002333121 is a wasteful number, since it uses less digits than its factorization.

444002333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333592575 (or 49333592572 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 444002333121 its reverse (121333200444), we get a palindrome (565335533565).

The spelling of 444002333121 in words is "four hundred forty-four billion, two million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 49333592569 148000777707 444002333121