Search a number
-
+
44644877844644 = 227111953152394513
BaseRepresentation
bin10100010011010101100100…
…00101011100000010100100
312212002000020022001111011002
422021222302011130002210
521322430202212012034
6234541323532332432
712255325456224110
oct1211526205340244
9185060208044132
1044644877844644
1113252871721140
125010587314118
131bbacbc83184c
14b04b76010740
155264b08a3e7e
hex289ab215c0a4

44644877844644 has 192 divisors, whose sum is σ = 104537988495360. Its totient is φ = 16156924692480.

The previous prime is 44644877844571. The next prime is 44644877844673.

44644877844644 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472320332 + ... + 472414844.

It is an arithmetic number, because the mean of its divisors is an integer number (544468690080).

Almost surely, 244644877844644 is an apocalyptic number.

44644877844644 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 44644877844644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52268994247680).

44644877844644 is an abundant number, since it is smaller than the sum of its proper divisors (59893110650716).

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

44644877844644 is a wasteful number, since it uses less digits than its factorization.

44644877844644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96130 (or 96128 counting only the distinct ones).

The product of its digits is 7398752256, while the sum is 74.

The spelling of 44644877844644 in words is "forty-four trillion, six hundred forty-four billion, eight hundred seventy-seven million, eight hundred forty-four thousand, six hundred forty-four".