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44123432340 = 223513177379577
BaseRepresentation
bin101001000101111101…
…100010010110010100
311012220001000121021210
4221011331202112110
51210331044313330
632134154141420
73121263662301
oct510575422624
9135801017253
1044123432340
1117792588869
128674a21870
134212430260
1421c80920a8
1512339de8b0
hexa45f62594

44123432340 has 384 divisors, whose sum is σ = 144863631360. Its totient is φ = 9937354752.

The previous prime is 44123432333. The next prime is 44123432341. The reversal of 44123432340 is 4323432144.

It is a happy number.

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 = 44123432298 and 44123432307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44123432341) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 76470132 + ... + 76470708.

It is an arithmetic number, because the mean of its divisors is an integer number (377249040).

Almost surely, 244123432340 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 44123432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72431815680).

44123432340 is an abundant number, since it is smaller than the sum of its proper divisors (100740199020).

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

44123432340 is a wasteful number, since it uses less digits than its factorization.

44123432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 44123432340 its reverse (4323432144), we get a palindrome (48446864484).

The spelling of 44123432340 in words is "forty-four billion, one hundred twenty-three million, four hundred thirty-two thousand, three hundred forty".