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3314444133 = 3721113295437
BaseRepresentation
bin1100010110001110…
…0110011101100101
322112222201012121010
43011203212131211
523241444203013
61304520012433
7145064211300
oct30543463545
98488635533
103314444133
111450a0aa30
12786001119
1340a89b960
14236299b37
15145ea77c3
hexc58e6765

3314444133 has 96 divisors (see below), whose sum is σ = 6248914560. Its totient is φ = 1534256640.

The previous prime is 3314444129. The next prime is 3314444149.

3314444133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3314444133 - 22 = 3314444129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3314444133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314444153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606891 + ... + 612327.

It is an arithmetic number, because the mean of its divisors is an integer number (65092860).

Almost surely, 23314444133 is an apocalyptic number.

3314444133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3314444133 is a deficient number, since it is larger than the sum of its proper divisors (2934470427).

3314444133 is a wasteful number, since it uses less digits than its factorization.

3314444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5500 counting only the distinct ones).

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

The square root of 3314444133 is about 57571.2092369094. The cubic root of 3314444133 is about 1490.9745636958.

It can be divided in two parts, 33144 and 44133, that added together give a palindrome (77277).

The spelling of 3314444133 in words is "three billion, three hundred fourteen million, four hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 29 33 39 49 77 87 91 143 147 203 231 273 319 377 429 539 609 637 957 1001 1131 1421 1617 1911 2233 2639 3003 4147 4263 5437 6699 7007 7917 12441 15631 16311 18473 21021 29029 38059 46893 55419 59807 70681 87087 114177 157673 179421 203203 212043 266413 418649 473019 494767 609609 777491 799239 1103711 1255947 1484301 1734403 2049749 2332473 2930543 3311133 3463369 5203209 5442437 6149247 7725977 8791629 10390107 12140821 14348243 16327311 22547239 23177931 36422463 38097059 43044729 67641717 84985747 100437701 114291177 157830673 254957241 301313103 473492019 1104814711 3314444133