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1444083641 = 711131442641
BaseRepresentation
bin101011000010010…
…1111011110111001
310201122022001100022
41112010233132321
510424141134031
6355143420225
750533336250
oct12604573671
93648261308
101444083641
11681169460
12343754675
131a0244c80
14d9b09797
1586ba197b
hex5612f7b9

1444083641 has 16 divisors (see below), whose sum is σ = 1938910848. Its totient is φ = 1038700800.

The previous prime is 1444083617. The next prime is 1444083647. The reversal of 1444083641 is 1463804441.

It is a cyclic number.

It is not a de Polignac number, because 1444083641 - 214 = 1444067257 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1444083647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720320 + ... + 722321.

It is an arithmetic number, because the mean of its divisors is an integer number (121181928).

Almost surely, 21444083641 is an apocalyptic number.

1444083641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1444083641 is a deficient number, since it is larger than the sum of its proper divisors (494827207).

1444083641 is a wasteful number, since it uses less digits than its factorization.

1444083641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442672.

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 1444083641 is about 38001.1005235375. The cubic root of 1444083641 is about 1130.3096864411.

The spelling of 1444083641 in words is "one billion, four hundred forty-four million, eighty-three thousand, six hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 1442641 10098487 15869051 18754333 111083357 131280331 206297663 1444083641