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3144441300 = 223527111337283
BaseRepresentation
bin1011101101101100…
…0101110111010100
322010010211011112220
42323123011313110
522414434110200
61240004142340
7140631211230
oct27333056724
98103734486
103144441300
111373a56320
127390979b0
133b15b8270
1421b8855c0
151360c64a0
hexbb6c5dd4

3144441300 has 576 divisors, whose sum is σ = 12589860864. Its totient is φ = 584755200.

The previous prime is 3144441281. The next prime is 3144441301. The reversal of 3144441300 is 31444413.

It is a super-2 number, since 2×31444413002 = 19775022178291380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144441301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11110959 + ... + 11111241.

Almost surely, 23144441300 is an apocalyptic number.

3144441300 is a gapful number since it is divisible by the number (30) 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 3144441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294930432).

3144441300 is an abundant number, since it is smaller than the sum of its proper divisors (9445419564).

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

3144441300 is a wasteful number, since it uses less digits than its factorization.

3144441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144441300 is about 56075.3180998557. The cubic root of 3144441300 is about 1465.0344278583.

Adding to 3144441300 its reverse (31444413), we get a palindrome (3175885713).

3144441300 divided by its reverse (31444413) gives a square (100 = 102).

It can be divided in two parts, 3144 and 441300, that added together give a palindrome (444444).

The spelling of 3144441300 in words is "three billion, one hundred forty-four million, four hundred forty-one thousand, three hundred".