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44376242040 = 233851313007
BaseRepresentation
bin101001010101000001…
…111011011101111000
311020112122201200000000
4221111001323131320
51211340304221130
632215224513000
73130453555644
oct512501733570
9136478650000
1044376242040
11179022604a9
12872561b760
1342529177b0
14220d89dc24
15124accb260
hexa5507b778

44376242040 has 288 divisors, whose sum is σ = 161294777280. Its totient is φ = 10922542848.

The previous prime is 44376241999. The next prime is 44376242059. The reversal of 44376242040 is 4024267344.

44376242040 is a `hidden beast` number, since 4 + 4 + 3 + 7 + 624 + 20 + 4 + 0 = 666.

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 = 44376241986 and 44376242004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3405217 + ... + 3418223.

It is an arithmetic number, because the mean of its divisors is an integer number (560051310).

Almost surely, 244376242040 is an apocalyptic number.

44376242040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44376242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80647388640).

44376242040 is an abundant number, since it is smaller than the sum of its proper divisors (116918535240).

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

44376242040 is a wasteful number, since it uses less digits than its factorization.

44376242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 44376242040 in words is "forty-four billion, three hundred seventy-six million, two hundred forty-two thousand, forty".