Search a number
-
+
44113690368 = 28331143103131
BaseRepresentation
bin101001000101011000…
…010111111100000000
311012212100200122211000
4221011120113330000
51210321101042433
632133205252000
73121115116116
oct510530277400
9135770618730
1044113690368
1117788034550
128671704000
1342103cbc87
1421c6a77ab6
151232c18113
hexa45617f00

44113690368 has 576 divisors, whose sum is σ = 148156968960. Its totient is φ = 12831436800.

The previous prime is 44113690343. The next prime is 44113690421. The reversal of 44113690368 is 86309631144.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336745663 + ... + 336745793.

It is an arithmetic number, because the mean of its divisors is an integer number (257216960).

Almost surely, 244113690368 is an apocalyptic number.

44113690368 is a gapful number since it is divisible by the number (48) 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 44113690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74078484480).

44113690368 is an abundant number, since it is smaller than the sum of its proper divisors (104043278592).

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

44113690368 is a wasteful number, since it uses less digits than its factorization.

44113690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 44113690368 in words is "forty-four billion, one hundred thirteen million, six hundred ninety thousand, three hundred sixty-eight".