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144077444 = 22724117929
BaseRepresentation
bin10001001011001…
…11001010000100
3101001002220002122
420211213022010
5243340434234
622144025112
73366431600
oct1045471204
9331086078
10144077444
1174367575
1240302198
1323b07234
14151c6500
15c9ae92e
hex8967284

144077444 has 36 divisors (see below), whose sum is σ = 300470940. Its totient is φ = 60238080.

The previous prime is 144077443. The next prime is 144077447. The reversal of 144077444 is 444770441.

It can be written as a sum of positive squares in 2 ways, for example, as 36747844 + 107329600 = 6062^2 + 10360^2 .

It is not an unprimeable number, because it can be changed into a prime (144077443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (8346415).

Almost surely, 2144077444 is an apocalyptic number.

144077444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144077444 is an abundant number, since it is smaller than the sum of its proper divisors (156393496).

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

144077444 is a wasteful number, since it uses less digits than its factorization.

144077444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17979 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 35.

The square root of 144077444 is about 12003.2263995977. The cubic root of 144077444 is about 524.2422252876.

The spelling of 144077444 in words is "one hundred forty-four million, seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 17929 35858 71716 125503 251006 502012 735089 878521 1470178 1757042 2940356 3514084 5145623 10291246 20582492 36019361 72038722 144077444