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1444868352 = 28321737997
BaseRepresentation
bin101011000011110…
…1111000100000000
310201200202220202200
41112013233010000
510424341241402
6355212313200
750543115114
oct12607570400
93650686680
101444868352
11681654a84
12343a72800
131a045b1b5
14d9c71744
1586ca921c
hex561ef100

1444868352 has 216 divisors, whose sum is σ = 4534724376. Its totient is φ = 440598528.

The previous prime is 1444868339. The next prime is 1444868353. The reversal of 1444868352 is 2538684441.

1444868352 is a `hidden beast` number, since 1 + 44 + 486 + 83 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 982446336 + 462422016 = 31344^2 + 21504^2 .

It is a super-2 number, since 2×14448683522 = 4175289109222391808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1444868298 and 1444868307.

It is not an unprimeable number, because it can be changed into a prime (1444868353) 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 23 ways as a sum of consecutive naturals, for example, 1448718 + ... + 1449714.

Almost surely, 21444868352 is an apocalyptic number.

1444868352 is a gapful number since it is divisible by the number (12) 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 1444868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267362188).

1444868352 is an abundant number, since it is smaller than the sum of its proper divisors (3089856024).

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

1444868352 is a wasteful number, since it uses less digits than its factorization.

1444868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1056 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 1444868352 is about 38011.4239670129. The cubic root of 1444868352 is about 1130.5143850724.

The spelling of 1444868352 in words is "one billion, four hundred forty-four million, eight hundred sixty-eight thousand, three hundred fifty-two".