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441104401144 = 231113933359761
BaseRepresentation
bin1100110101100111101…
…11110000001011111000
31120011120022202022001101
412122303313300023320
524211340211314034
6534350210101144
743603656355141
oct6326367601370
91504508668041
10441104401144
11160086a31360
12715a4b7a7b4
13327994528b4
14174c72d6ac8
15b71a335514
hex66b3df02f8

441104401144 has 32 divisors (see below), whose sum is σ = 902326267440. Its totient is φ = 200487052800.

The previous prime is 441104401091. The next prime is 441104401183.

It is a happy number.

441104401144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046224 + ... + 1405984.

Almost surely, 2441104401144 is an apocalyptic number.

441104401144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441104401144 is an abundant number, since it is smaller than the sum of its proper divisors (461221866296).

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

441104401144 is a wasteful number, since it uses less digits than its factorization.

441104401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373711 (or 373707 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 441104 and 401144, that added together give a palindrome (842248).

The spelling of 441104401144 in words is "four hundred forty-one billion, one hundred four million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 13933 27866 55732 111464 153263 306526 359761 613052 719522 1226104 1439044 2878088 3957371 7914742 15829484 31658968 5012550013 10025100026 20050200052 40100400104 55138050143 110276100286 220552200572 441104401144