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1344444431 = 11373101137
BaseRepresentation
bin101000000100010…
…1001100000001111
310110200210212001012
41100020221200033
510223134210211
6341224035435
745213406031
oct12010514017
93420725035
101344444431
1162a9a4000
12316302b7b
131856c9765
14ca7adc51
157d06dd8b
hex5022980f

1344444431 has 32 divisors (see below), whose sum is σ = 1524937536. Its totient is φ = 1184832000.

The previous prime is 1344444403. The next prime is 1344444443.

1344444431 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1344444431 is a prime.

It is a super-2 number, since 2×13444444312 = 3615061656093827522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9813395 + ... + 9813531.

It is an arithmetic number, because the mean of its divisors is an integer number (47654298).

Almost surely, 21344444431 is an apocalyptic number.

1344444431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344444431 is a deficient number, since it is larger than the sum of its proper divisors (180493105).

1344444431 is a wasteful number, since it uses less digits than its factorization.

1344444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 1344444431 is about 36666.6664833333. Note that the first 3 decimals coincide. The cubic root of 1344444431 is about 1103.6912991538.

It can be divided in two parts, 13444 and 44431, that added together give a palindrome (57875).

The spelling of 1344444431 in words is "one billion, three hundred forty-four million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 11 73 101 121 137 803 1111 1331 1507 7373 8833 10001 12221 13837 16577 81103 97163 110011 134431 152207 182347 892133 1010101 1210121 1674277 9813463 11111111 13311331 18417047 122222221 1344444431