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1444301331 = 311611315477
BaseRepresentation
bin101011000010110…
…0100101000010011
310201122201002221220
41112011210220103
510424220120311
6355152220123
750535234024
oct12605445023
93648632856
101444301331
116812a7a70
1234383a643
131a02c0095
14d9b64c4b
1586be6206
hex56164a13

1444301331 has 32 divisors (see below), whose sum is σ = 2151933696. Its totient is φ = 854256000.

The previous prime is 1444301311. The next prime is 1444301333. The reversal of 1444301331 is 1331034441.

It is not a de Polignac number, because 1444301331 - 26 = 1444301267 is a prime.

It is a super-2 number, since 2×14443013312 = 4172012669456743122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444301333) 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 31 ways as a sum of consecutive naturals, for example, 260965 + ... + 266441.

It is an arithmetic number, because the mean of its divisors is an integer number (67247928).

Almost surely, 21444301331 is an apocalyptic number.

1444301331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1444301331 is a deficient number, since it is larger than the sum of its proper divisors (707632365).

1444301331 is a wasteful number, since it uses less digits than its factorization.

1444301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1444301331 is about 38003.9646747547. The cubic root of 1444301331 is about 1130.3664801858.

Adding to 1444301331 its reverse (1331034441), we get a palindrome (2775335772).

The spelling of 1444301331 in words is "one billion, four hundred forty-four million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 11 33 61 131 183 393 671 1441 2013 4323 5477 7991 16431 23973 60247 87901 180741 263703 334097 717487 1002291 2152461 3675067 7892357 11025201 23677071 43766707 131300121 481433777 1444301331