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44022590640 = 24335723277457
BaseRepresentation
bin101000111111111100…
…110110110010110000
311012122000021022111000
4220333330312302300
51210124240400030
632120152522000
73115630563210
oct507774666260
9135560238430
1044022590640
1117740671a16
1286470b0300
1341c7583602
1421b8922240
151229c20860
hexa3ff36cb0

44022590640 has 640 divisors, whose sum is σ = 181879787520. Its totient is φ = 9569083392.

The previous prime is 44022590603. The next prime is 44022590681. The reversal of 44022590640 is 4609522044.

44022590640 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 2 + 5 + 9 + 0 + 640 = 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 = 44022590595 and 44022590604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96329292 + ... + 96329748.

It is an arithmetic number, because the mean of its divisors is an integer number (284187168).

Almost surely, 244022590640 is an apocalyptic number.

44022590640 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 44022590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90939893760).

44022590640 is an abundant number, since it is smaller than the sum of its proper divisors (137857196880).

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

44022590640 is a wasteful number, since it uses less digits than its factorization.

44022590640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 44022590640 in words is "forty-four billion, twenty-two million, five hundred ninety thousand, six hundred forty".