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1444349088 = 253272137873
BaseRepresentation
bin101011000010111…
…0000010010100000
310201122210112110200
41112011300102200
510424223132323
6355153225200
750535523200
oct12605602240
93648715420
101444349088
1168132a936
12343862200
131a0308a40
14d9b78400
1586c05443
hex561704a0

1444349088 has 216 divisors, whose sum is σ = 5146147188. Its totient is φ = 380878848.

The previous prime is 1444349077. The next prime is 1444349119. The reversal of 1444349088 is 8809434441.

1444349088 is a `hidden beast` number, since 1 + 44 + 43 + 490 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1112089104 + 332259984 = 33348^2 + 18228^2 .

It is a super-2 number, since 2×14443490882 = 4172288576012863488, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 179520 + ... + 187392.

Almost surely, 21444349088 is an apocalyptic number.

1444349088 is a gapful number since it is divisible by the number (18) 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 1444349088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573073594).

1444349088 is an abundant number, since it is smaller than the sum of its proper divisors (3701798100).

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

1444349088 is a wasteful number, since it uses less digits than its factorization.

1444349088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7898 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1444349088 is about 38004.5929855853. The cubic root of 1444349088 is about 1130.3789388779.

The spelling of 1444349088 in words is "one billion, four hundred forty-four million, three hundred forty-nine thousand, eighty-eight".