Search a number
-
+
444160000000 = 21457347
BaseRepresentation
bin1100111011010011111…
…11111100000000000000
31120110110021101210200101
412131221333330000000
524234114430000000
6540013322132144
744042461464463
oct6355177740000
91513407353611
10444160000000
11161404816a72
12720b8351054
1332b65502a62
14176d70532da
15b84870ce6a
hex6769ffc000

444160000000 has 240 divisors, whose sum is σ = 1113563164896. Its totient is φ = 177152000000.

The previous prime is 444159999979. The next prime is 444160000013. The reversal of 444160000000 is 61444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279999827 + ... + 1280000173.

Almost surely, 2444160000000 is an apocalyptic number.

444160000000 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 444160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556781582448).

444160000000 is an abundant number, since it is smaller than the sum of its proper divisors (669403164896).

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

444160000000 is an frugal number, since it uses more digits than its factorization.

444160000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 444160000000 its reverse (61444), we get a palindrome (444160061444).

The spelling of 444160000000 in words is "four hundred forty-four billion, one hundred sixty million", and thus it is an aban number.