Search a number
-
+
44169123960 = 233351329831307
BaseRepresentation
bin101001001000101011…
…110101100001111000
311020000012222222102000
4221020223311201320
51210424243431320
632142505341000
73122360234103
oct511053654170
9136005888360
1044169123960
1117806356635
128688197760
13421ba3a610
1421d018773a
151237a17c90
hexa48af5878

44169123960 has 512 divisors, whose sum is σ = 166126464000. Its totient is φ = 10363078656.

The previous prime is 44169123923. The next prime is 44169123961. The reversal of 44169123960 is 6932196144.

It is a super-2 number, since 2×441691239602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44169123961) 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, 33793627 + ... + 33794933.

It is an arithmetic number, because the mean of its divisors is an integer number (324465750).

Almost surely, 244169123960 is an apocalyptic number.

44169123960 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 44169123960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83063232000).

44169123960 is an abundant number, since it is smaller than the sum of its proper divisors (121957340040).

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

44169123960 is a wasteful number, since it uses less digits than its factorization.

44169123960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 44169123960 in words is "forty-four billion, one hundred sixty-nine million, one hundred twenty-three thousand, nine hundred sixty".