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44312141003441 = 1013795711558713
BaseRepresentation
bin10100001001101001110010…
…11011000111101010110001
312210220012101021222121200212
422010310321123013222301
521302002231044102231
6234124414435153505
712222306106565633
oct1204647133075261
9183805337877625
1044312141003441
1113134745421583
124b77ba6445895
131b958036255ac
14ad2a0d1a0a53
1551c9d91aa42b
hex284d396c7ab1

44312141003441 has 8 divisors (see below), whose sum is σ = 44752057933224. Its totient is φ = 43872247267200.

The previous prime is 44312141003437. The next prime is 44312141003527. The reversal of 44312141003441 is 14430014121344.

44312141003441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24393754225 + 44287747249216 = 156185^2 + 6654904^2 .

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 44312141003441 - 22 = 44312141003437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44312141003398 and 44312141003407.

It is not an unprimeable number, because it can be changed into a prime (44312141003401) 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, 1945700 + ... + 9613013.

It is an arithmetic number, because the mean of its divisors is an integer number (5594007241653).

Almost surely, 244312141003441 is an apocalyptic number.

It is an amenable number.

44312141003441 is a deficient number, since it is larger than the sum of its proper divisors (439916929783).

44312141003441 is a wasteful number, since it uses less digits than its factorization.

44312141003441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596771.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 44312141003441 its reverse (14430014121344), we get a palindrome (58742155124785).

The spelling of 44312141003441 in words is "forty-four trillion, three hundred twelve billion, one hundred forty-one million, three thousand, four hundred forty-one".

Divisors: 1 101 37957 3833657 11558713 1167430013 438734069341 44312141003441