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1444321440 = 253251003001
BaseRepresentation
bin101011000010110…
…1001100010100000
310201122202010112200
41112011221202200
510424221241230
6355152453200
750535346452
oct12605514240
93648663480
101444321440
11681311091
1234384a200
131a02c9293
14d9b6c2d2
1586bec160
hex561698a0

1444321440 has 72 divisors (see below), whose sum is σ = 4928751828. Its totient is φ = 385152000.

The previous prime is 1444321433. The next prime is 1444321447. The reversal of 1444321440 is 441234441.

1444321440 is a `hidden beast` number, since 1 + 4 + 443 + 214 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1444321433) and next prime (1444321447).

It can be written as a sum of positive squares in 2 ways, for example, as 1444304016 + 17424 = 38004^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1444321447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500061 + ... + 502940.

Almost surely, 21444321440 is an apocalyptic number.

1444321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444321440 is an abundant number, since it is smaller than the sum of its proper divisors (3484430388).

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

1444321440 is a wasteful number, since it uses less digits than its factorization.

1444321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003022 (or 1003011 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1444321440 is about 38004.2292383361. The cubic root of 1444321440 is about 1130.3717261903.

Adding to 1444321440 its reverse (441234441), we get a palindrome (1885555881).

The spelling of 1444321440 in words is "one billion, four hundred forty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1003001 2006002 3009003 4012004 5015005 6018006 8024008 9027009 10030010 12036012 15045015 16048016 18054018 20060020 24072024 30090030 32096032 36108036 40120040 45135045 48144048 60180060 72216072 80240080 90270090 96288096 120360120 144432144 160480160 180540180 240720240 288864288 361080360 481440480 722160720 1444321440