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44345410128 = 2432307954237
BaseRepresentation
bin101001010011001100…
…010100001001010000
311020110111201020120100
4221103030110021100
51211304411111003
632212204012400
73126630523665
oct512314241120
9136414636510
1044345410128
1117896911a88
128717231100
134249410c66
142209755a6c
15124823aba3
hexa53314250

44345410128 has 30 divisors (see below), whose sum is σ = 124105557914. Its totient is φ = 14781803328.

The previous prime is 44345410099. The next prime is 44345410133. The reversal of 44345410128 is 82101454344.

It can be written as a sum of positive squares in only one way, i.e., 40671595584 + 3673814544 = 201672^2 + 60612^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44345410092 and 44345410101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153976975 + ... + 153977262.

Almost surely, 244345410128 is an apocalyptic number.

44345410128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44345410128 is an abundant number, since it is smaller than the sum of its proper divisors (79760147786).

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

44345410128 is a wasteful number, since it uses less digits than its factorization.

44345410128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307954251 (or 307954242 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 44345410128 in words is "forty-four billion, three hundred forty-five million, four hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307954237 615908474 923862711 1231816948 1847725422 2463633896 2771588133 3695450844 4927267792 5543176266 7390901688 11086352532 14781803376 22172705064 44345410128