Search a number
-
+
44169112416 = 253111323592371
BaseRepresentation
bin101001001000101011…
…110010101101100000
311020000012222101120110
4221020223302231200
51210424243044131
632142505211320
73122360155332
oct511053625540
9136005871513
1044169112416
11178063489a0
128688190b40
13421ba352a0
1421d0183452
151237a14646
hexa48af2b60

44169112416 has 384 divisors, whose sum is σ = 144606228480. Its totient is φ = 11612620800.

The previous prime is 44169112409. The next prime is 44169112417. The reversal of 44169112416 is 61421196144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44169112417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18627711 + ... + 18630081.

It is an arithmetic number, because the mean of its divisors is an integer number (376578720).

Almost surely, 244169112416 is an apocalyptic number.

44169112416 is a gapful number since it is divisible by the number (46) 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 44169112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72303114240).

44169112416 is an abundant number, since it is smaller than the sum of its proper divisors (100437116064).

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

44169112416 is a wasteful number, since it uses less digits than its factorization.

44169112416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2482 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 44169112416 in words is "forty-four billion, one hundred sixty-nine million, one hundred twelve thousand, four hundred sixteen".