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444232234000 = 2453222116117
BaseRepresentation
bin1100111011011100100…
…11011111010000010000
31120110122022022200002201
412131232103133100100
524234241422442000
6540024422252544
744044326454312
oct6355623372020
91513568280081
10444232234000
11161441573495
1272118587154
1332b77474379
14177028977b2
15b84ec2a96a
hex676e4df410

444232234000 has 40 divisors (see below), whose sum is σ = 1074153546648. Its totient is φ = 177692892800.

The previous prime is 444232233971. The next prime is 444232234001. The reversal of 444232234000 is 432232444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 444211586064 = 4544^2 + 666492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 444232234000.

It is not an unprimeable number, because it can be changed into a prime (444232234001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111056059 + ... + 111060058.

Almost surely, 2444232234000 is an apocalyptic number.

444232234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444232234000 is an abundant number, since it is smaller than the sum of its proper divisors (629921312648).

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

444232234000 is a wasteful number, since it uses less digits than its factorization.

444232234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222116140 (or 222116124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 444232234000 its reverse (432232444), we get a palindrome (444664466444).

The spelling of 444232234000 in words is "four hundred forty-four billion, two hundred thirty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 222116117 444232234 888464468 1110580585 1776928936 2221161170 3553857872 4442322340 5552902925 8884644680 11105805850 17769289360 22211611700 27764514625 44423223400 55529029250 88846446800 111058058500 222116117000 444232234000