Search a number
-
+
44048080384 = 2972111741229
BaseRepresentation
bin101001000001011110…
…000101111000000000
311012200210020022211121
4221001132011320000
51210202302033014
632122503122024
73116360335300
oct510136057000
9135623208747
1044048080384
1117753aa1820
128653743314
1341cc9396b9
1421bc079600
15122c0a8124
hexa41785e00

44048080384 has 480 divisors, whose sum is σ = 121669400160. Its totient is φ = 15689318400.

The previous prime is 44048080381. The next prime is 44048080397. The reversal of 44048080384 is 48308084044.

It is a self number, because there is not a number n which added to its sum of digits gives 44048080384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44048080381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192349582 + ... + 192349810.

It is an arithmetic number, because the mean of its divisors is an integer number (253477917).

Almost surely, 244048080384 is an apocalyptic number.

44048080384 is a gapful number since it is divisible by the number (44) 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 44048080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60834700080).

44048080384 is an abundant number, since it is smaller than the sum of its proper divisors (77621319776).

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

44048080384 is a wasteful number, since it uses less digits than its factorization.

44048080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The spelling of 44048080384 in words is "forty-four billion, forty-eight million, eighty thousand, three hundred eighty-four".