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44424330240 = 210357693761
BaseRepresentation
bin101001010111111001…
…010111110000000000
311020200000012210121110
4221113321113300000
51211440112031430
632224103323320
73131606401533
oct512771276000
9136600183543
1044424330240
1117927415914
128739750540
13425c883954
14221601aa1a
1512501297b0
hexa57e57c00

44424330240 has 176 divisors, whose sum is σ = 142311042720. Its totient is φ = 11827937280.

The previous prime is 44424330239. The next prime is 44424330257. The reversal of 44424330240 is 4203342444.

It is a super-2 number, since 2×444243302402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44424330198 and 44424330207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11809960 + ... + 11813720.

It is an arithmetic number, because the mean of its divisors is an integer number (808585470).

Almost surely, 244424330240 is an apocalyptic number.

44424330240 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 44424330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71155521360).

44424330240 is an abundant number, since it is smaller than the sum of its proper divisors (97886712480).

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

44424330240 is a wasteful number, since it uses less digits than its factorization.

44424330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 44424330240 its reverse (4203342444), we get a palindrome (48627672684).

The spelling of 44424330240 in words is "forty-four billion, four hundred twenty-four million, three hundred thirty thousand, two hundred forty".