Search a number
-
+
44302196736 = 213327212263
BaseRepresentation
bin101001010000100111…
…011110000000000000
311020100111101202221100
4221100213132000000
51211212330243421
632204021454400
73125564313300
oct512047360000
9136314352840
1044302196736
1117874487136
128704871400
1342404908c5
142203b07600
151244551c26
hexa509de000

44302196736 has 252 divisors, whose sum is σ = 148882543992. Its totient is φ = 12656738304.

The previous prime is 44302196717. The next prime is 44302196737. The reversal of 44302196736 is 63769120344.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 44302196691 and 44302196700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44302196737) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3606541 + ... + 3618803.

It is an arithmetic number, because the mean of its divisors is an integer number (590803746).

Almost surely, 244302196736 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 44302196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74441271996).

44302196736 is an abundant number, since it is smaller than the sum of its proper divisors (104580347256).

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

44302196736 is a wasteful number, since it uses less digits than its factorization.

44302196736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 44302196736 in words is "forty-four billion, three hundred two million, one hundred ninety-six thousand, seven hundred thirty-six".