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44132223144 = 2337923276489
BaseRepresentation
bin101001000110011111…
…000100100010101000
311012220122120020000010
4221012133010202220
51210340322120034
632135110411520
73121431464412
oct510637044250
9135818506003
1044132223144
1117797542499
128677960ba0
1342141ba609
1421c92dd9b2
1512346793e9
hexa467c48a8

44132223144 has 32 divisors (see below), whose sum is σ = 111727152000. Its totient is φ = 14524528512.

The previous prime is 44132223143. The next prime is 44132223169.

44132223144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44132223143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11636349 + ... + 11640140.

It is an arithmetic number, because the mean of its divisors is an integer number (3491473500).

Almost surely, 244132223144 is an apocalyptic number.

It is an amenable number.

44132223144 is an abundant number, since it is smaller than the sum of its proper divisors (67594928856).

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

44132223144 is a wasteful number, since it uses less digits than its factorization.

44132223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276577 (or 23276573 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 44132223144 in words is "forty-four billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 23276489 46552978 69829467 93105956 139658934 186211912 279317868 558635736 1838842631 3677685262 5516527893 7355370524 11033055786 14710741048 22066111572 44132223144