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4431404000 = 25531107851
BaseRepresentation
bin1000010000010000…
…11101101111100000
3102102211110122111002
410020020131233200
533033414412000
62011420211132
7214546212122
oct41010355740
912384418432
104431404000
111974459461
12a38099aa8
1355810a05a
14300771212
151ae08d8d5
hex10821dbe0

4431404000 has 48 divisors (see below), whose sum is σ = 10887969456. Its totient is φ = 1772560000.

The previous prime is 4431403993. The next prime is 4431404009. The reversal of 4431404000 is 4041344.

It is a super-2 number, since 2×44314040002 = 39274682822432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549926 + ... + 557925.

It is an arithmetic number, because the mean of its divisors is an integer number (226832697).

Almost surely, 24431404000 is an apocalyptic number.

4431404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431404000 is an abundant number, since it is smaller than the sum of its proper divisors (6456565456).

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

4431404000 is a wasteful number, since it uses less digits than its factorization.

4431404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107876 (or 1107858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4431404000 is about 66568.7914867019. The cubic root of 4431404000 is about 1642.5317825391.

Adding to 4431404000 its reverse (4041344), we get a palindrome (4435445344).

The spelling of 4431404000 in words is "four billion, four hundred thirty-one million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1107851 2215702 4431404 5539255 8862808 11078510 17725616 22157020 27696275 35451232 44314040 55392550 88628080 110785100 138481375 177256160 221570200 276962750 443140400 553925500 886280800 1107851000 2215702000 4431404000