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44242514144 = 25171929672203
BaseRepresentation
bin101001001101000011…
…110011000011100000
311020012100002120210222
4221031003303003200
51211102040423034
632154050342212
73124241110463
oct511503630340
9136170076728
1044242514144
1117843822784
1286a888a968
134230cc526a
1421d9c0d2da
15123e1b312e
hexa4d0f30e0

44242514144 has 192 divisors, whose sum is σ = 101972908800. Its totient is φ = 18751315968.

The previous prime is 44242514143. The next prime is 44242514149. The reversal of 44242514144 is 44141524244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44242514143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20081747 + ... + 20083949.

It is an arithmetic number, because the mean of its divisors is an integer number (531108900).

Almost surely, 244242514144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44242514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50986454400).

44242514144 is an abundant number, since it is smaller than the sum of its proper divisors (57730394656).

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

44242514144 is a wasteful number, since it uses less digits than its factorization.

44242514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2337 counting only the distinct ones).

The product of its digits is 81920, while the sum is 35.

The spelling of 44242514144 in words is "forty-four billion, two hundred forty-two million, five hundred fourteen thousand, one hundred forty-four".