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1444023456 = 25340137511
BaseRepresentation
bin101011000010010…
…0000110010100000
310201122011222210020
41112010200302200
510424132222311
6355142233440
750532665631
oct12604406240
93648158706
101444023456
11681128217
12343725880
131a0223765
14d9ad1888
1586b8dc06
hex56120ca0

1444023456 has 48 divisors (see below), whose sum is σ = 3800115648. Its totient is φ = 480128000.

The previous prime is 1444023311. The next prime is 1444023461. The reversal of 1444023456 is 6543204441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19741 + ... + 57251.

It is an arithmetic number, because the mean of its divisors is an integer number (79169076).

Almost surely, 21444023456 is an apocalyptic number.

1444023456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1444023456 is an abundant number, since it is smaller than the sum of its proper divisors (2356092192).

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

1444023456 is a wasteful number, since it uses less digits than its factorization.

1444023456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37925 (or 37917 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1444023456 is about 38000.3086303256. The cubic root of 1444023456 is about 1130.2939836033.

Adding to 1444023456 its reverse (6543204441), we get a palindrome (7987227897).

The spelling of 1444023456 in words is "one billion, four hundred forty-four million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1203 1604 2406 3208 4812 6416 9624 12832 19248 37511 38496 75022 112533 150044 225066 300088 450132 600176 900264 1200352 1800528 3601056 15041911 30083822 45125733 60167644 90251466 120335288 180502932 240670576 361005864 481341152 722011728 1444023456