Search a number
44444400000 = 273557111337
BaseRepresentation
bin101001011001000101…
…111011100110000000
311020201101222110010220
4221121011323212000
51212010231300000
632230101423040
73132242111130
oct513105734600
9136641873126
1044444400000
11179377835a0
12874440aa80
134263a8ca50
142218962ac0
151251c911a0
hexa5917b980

44444400000 has 1536 divisors, whose sum is σ = 203476976640. Its totient is φ = 8294400000.

The previous prime is 44444399983. The next prime is 44444400047. The reversal of 44444400000 is 444444.

Adding to 44444400000 its reverse (444444), we get a palindrome (44444844444).

44444400000 divided by its reverse (444444) gives a 5-th power (100000 = 105).

It can be divided in two parts, 44444 and 400000, that added together give a palindrome (444444).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1201199982 + ... + 1201200018.

It is an arithmetic number, because the mean of its divisors is an integer number (132471990).

Almost surely, 244444400000 is an apocalyptic number.

44444400000 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 44444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101738488320).

44444400000 is an abundant number, since it is smaller than the sum of its proper divisors (159032576640).

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

44444400000 is a wasteful number, since it uses less digits than its factorization.

44444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 44444400000 in words is "forty-four billion, four hundred forty-four million, four hundred thousand".