Search a number
-
+
44330193072 = 2432112171031453
BaseRepresentation
bin101001010010010010…
…010001000010110000
311020102110002010200200
4221102102101002300
51211242012134242
632210501515200
73126354265254
oct512222210260
9136373063620
1044330193072
1117889269200
128712112b00
134246213899
142207714264
151246c3204c
hexa524910b0

44330193072 has 360 divisors, whose sum is σ = 145890474912. Its totient is φ = 12511825920.

The previous prime is 44330193049. The next prime is 44330193079. The reversal of 44330193072 is 27039103344.

44330193072 is a `hidden beast` number, since 4 + 4 + 330 + 19 + 307 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44330193079) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30508698 + ... + 30510150.

Almost surely, 244330193072 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 44330193072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72945237456).

44330193072 is an abundant number, since it is smaller than the sum of its proper divisors (101560281840).

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

44330193072 is a wasteful number, since it uses less digits than its factorization.

44330193072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 44330193072 in words is "forty-four billion, three hundred thirty million, one hundred ninety-three thousand, seventy-two".