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44214241410 = 232517532292381
BaseRepresentation
bin101001001011010111…
…111100100010000010
311020010100220011220200
4221023113330202002
51211022321211120
632151200350030
73123445564623
oct511327744202
9136110804820
1044214241410
1117829871a89
12869b315316
1342281a6531
1421d616da4a
15123b97ae90
hexa4b5fc882

44214241410 has 192 divisors, whose sum is σ = 124609661280. Its totient is φ = 10835435520.

The previous prime is 44214241387. The next prime is 44214241447. The reversal of 44214241410 is 1414241244.

It is a happy number.

44214241410 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 4 + 241 + 410 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8919480249 + 35294761161 = 94443^2 + 187869^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18568420 + ... + 18570800.

Almost surely, 244214241410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44214241410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62304830640).

44214241410 is an abundant number, since it is smaller than the sum of its proper divisors (80395419870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44214241410 is a wasteful number, since it uses less digits than its factorization.

44214241410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44214241410 its reverse (1414241244), we get a palindrome (45628482654).

The spelling of 44214241410 in words is "forty-four billion, two hundred fourteen million, two hundred forty-one thousand, four hundred ten".