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44002240020 = 223251779191953
BaseRepresentation
bin101000111110101111…
…001110011000010100
311012120120222101200100
4220332233032120110
51210104033140040
632114144414100
73115262604024
oct507657163024
9135516871610
1044002240020
1117730132222
128640317330
1341c32a971b
1421b5d45a84
151228050b30
hexa3ebce614

44002240020 has 288 divisors, whose sum is σ = 144014008320. Its totient is φ = 10835435520.

The previous prime is 44002240019. The next prime is 44002240039. The reversal of 44002240020 is 2004220044.

44002240020 is a `hidden beast` number, since 4 + 400 + 2 + 240 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44002239975 and 44002240002.

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 95 ways as a sum of consecutive naturals, for example, 46171864 + ... + 46172816.

It is an arithmetic number, because the mean of its divisors is an integer number (500048640).

Almost surely, 244002240020 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 44002240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72007004160).

44002240020 is an abundant number, since it is smaller than the sum of its proper divisors (100011768300).

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

44002240020 is a wasteful number, since it uses less digits than its factorization.

44002240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 44002240020 its reverse (2004220044), we get a palindrome (46006460064).

The spelling of 44002240020 in words is "forty-four billion, two million, two hundred forty thousand, twenty".