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4442023213000 = 235319717225289
BaseRepresentation
bin100000010100011110100…
…1101110011011111001000
3120201122122020100110220021
41000220331031303133020
51040234230420304000
613240345353310224
7635632322220112
oct100507515633710
916648566313807
104442023213000
11146294033396a
125b8a88705374
13262b5b700389
14114dd068c3b2
157a831cd611a
hex40a3d3737c8

4442023213000 has 64 divisors (see below), whose sum is σ = 10394907634800. Its totient is φ = 1776711283200.

The previous prime is 4442023212973. The next prime is 4442023213007. The reversal of 4442023213000 is 3123202444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14424490404 + 4427598722596 = 120102^2 + 2104186^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4442023213007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19604356 + ... + 19829644.

Almost surely, 24442023213000 is an apocalyptic number.

4442023213000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442023213000 is an abundant number, since it is smaller than the sum of its proper divisors (5952884421800).

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

4442023213000 is a wasteful number, since it uses less digits than its factorization.

4442023213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245027 (or 245013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4442023213000 its reverse (3123202444), we get a palindrome (4445146415444).

The spelling of 4442023213000 in words is "four trillion, four hundred forty-two billion, twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 19717 39434 78868 98585 157736 197170 225289 394340 450578 492925 788680 901156 985850 1126445 1802312 1971700 2252890 2464625 3943400 4505780 4929250 5632225 9011560 9858500 11264450 19717000 22528900 28161125 45057800 56322250 112644500 225289000 4442023213 8884046426 17768092852 22210116065 35536185704 44420232130 88840464260 111050580325 177680928520 222101160650 444202321300 555252901625 888404642600 1110505803250 2221011606500 4442023213000