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3144004413 = 311674493167
BaseRepresentation
bin1011101101100101…
…1011001100111101
322010002222222020220
42323121123030331
522414331120123
61235550531553
7140624411424
oct27331331475
98102888226
103144004413
111373788060
12738b06bb9
133b1494454
1421b7b02bb
1513603bce3
hexbb65b33d

3144004413 has 32 divisors (see below), whose sum is σ = 4653158400. Its totient is φ = 1872245760.

The previous prime is 3144004411. The next prime is 3144004421.

3144004413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3144004413 - 21 = 3144004411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144004411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991156 + ... + 994322.

It is an arithmetic number, because the mean of its divisors is an integer number (145411200).

Almost surely, 23144004413 is an apocalyptic number.

3144004413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3144004413 is a deficient number, since it is larger than the sum of its proper divisors (1509153987).

3144004413 is a wasteful number, since it uses less digits than its factorization.

3144004413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144004413 is about 56071.4224271152. The cubic root of 3144004413 is about 1464.9665743479.

It can be divided in two parts, 314400 and 4413, that added together give a palindrome (318813).

The spelling of 3144004413 in words is "three billion, one hundred forty-four million, four thousand, four hundred thirteen".

Divisors: 1 3 11 33 67 201 449 737 1347 2211 3167 4939 9501 14817 30083 34837 90249 104511 212189 330913 636567 992739 1421983 2334079 4265949 7002237 15641813 46925439 95272861 285818583 1048001471 3144004413