Search a number
-
+
44219163840 = 263531672331
BaseRepresentation
bin101001001011101010…
…101110010011000000
311020010201011021012220
4221023222232103000
51211030101220330
632151454051040
73123535456005
oct511352562300
9136121137186
1044219163840
1117831624305
1286a0aa9a80
13422920ac07
1421d6a918ac
15123c0ee710
hexa4baae4c0

44219163840 has 336 divisors, whose sum is σ = 147564555264. Its totient is φ = 11207116800.

The previous prime is 44219163817. The next prime is 44219163841. The reversal of 44219163840 is 4836191244.

It is a super-3 number, since 3×442191638403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44219163792 and 44219163801.

It is not an unprimeable number, because it can be changed into a prime (44219163841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133592475 + ... + 133592805.

It is an arithmetic number, because the mean of its divisors is an integer number (439180224).

Almost surely, 244219163840 is an apocalyptic number.

44219163840 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 44219163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73782277632).

44219163840 is an abundant number, since it is smaller than the sum of its proper divisors (103345391424).

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

44219163840 is a wasteful number, since it uses less digits than its factorization.

44219163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 44219163840 in words is "forty-four billion, two hundred nineteen million, one hundred sixty-three thousand, eight hundred forty".