Search a number
-
+
44441886720 = 213357211261
BaseRepresentation
bin101001011000111100…
…010110000000000000
311020201020020202120110
4221120330112000000
51212004110333340
632225531511320
73132211542600
oct513074260000
9136636222513
1044441886720
1117936317300
1287435b8540
1342633bcaba
1422184aac00
151251946680
hexa58f16000

44441886720 has 1008 divisors, whose sum is σ = 184808890224. Its totient is φ = 9083289600.

The previous prime is 44441886661. The next prime is 44441886721. The reversal of 44441886720 is 2768814444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44441886720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44441886721) 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, 728555490 + ... + 728555550.

It is an arithmetic number, because the mean of its divisors is an integer number (183342153).

Almost surely, 244441886720 is an apocalyptic number.

44441886720 is a gapful number since it is divisible by the number (40) 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 44441886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92404445112).

44441886720 is an abundant number, since it is smaller than the sum of its proper divisors (140367003504).

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

44441886720 is a wasteful number, since it uses less digits than its factorization.

44441886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 44441886720 in words is "forty-four billion, four hundred forty-one million, eight hundred eighty-six thousand, seven hundred twenty".