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3144334413 = 311199747713
BaseRepresentation
bin1011101101101010…
…1011110001001101
322010010121201221010
42323122223301031
522414422200123
61240001555433
7140630254503
oct27332536115
98103551833
103144334413
111373992a90
12739045b79
133b157b70c
1421b858673
151360a4993
hexbb6abc4d

3144334413 has 16 divisors (see below), whose sum is σ = 4575963456. Its totient is φ = 1904663040.

The previous prime is 3144334387. The next prime is 3144334441.

3144334413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3144334413 - 29 = 3144333901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144334013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42045 + ... + 89757.

It is an arithmetic number, because the mean of its divisors is an integer number (285997716).

Almost surely, 23144334413 is an apocalyptic number.

3144334413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3144334413 is a deficient number, since it is larger than the sum of its proper divisors (1431629043).

3144334413 is a wasteful number, since it uses less digits than its factorization.

3144334413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49724.

The product of its digits is 20736, while the sum is 30.

The square root of 3144334413 is about 56074.3650253839. The cubic root of 3144334413 is about 1465.0178276747.

It can be divided in two parts, 31443 and 34413, that added together give a palindrome (65856).

The spelling of 3144334413 in words is "three billion, one hundred forty-four million, three hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 11 33 1997 5991 21967 47713 65901 143139 524843 1574529 95282861 285848583 1048111471 3144334413