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3141242244 = 2232721159077
BaseRepresentation
bin1011101100111011…
…1000110110000100
322002220210122021100
42323032320312010
522413124222434
61235411420100
7140562055440
oct27316706604
98086718240
103141242244
111372170878
12737bb4630
133b0a3812a
1421b291820
15135b93699
hexbb3b8d84

3141242244 has 72 divisors (see below), whose sum is σ = 9117862208. Its totient is φ = 893229120.

The previous prime is 3141242239. The next prime is 3141242249. The reversal of 3141242244 is 4422421413.

3141242244 is a `hidden beast` number, since 3 + 1 + 412 + 4 + 2 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (3141242239) and next prime (3141242249).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3141242249) 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 23 ways as a sum of consecutive naturals, for example, 23634 + ... + 82710.

Almost surely, 23141242244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141242244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558931104).

3141242244 is an abundant number, since it is smaller than the sum of its proper divisors (5976619964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3141242244 is a wasteful number, since it uses less digits than its factorization.

3141242244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59305 (or 59300 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3141242244 is about 56046.7862058120. The cubic root of 3141242244 is about 1464.5374325784.

Adding to 3141242244 its reverse (4422421413), we get a palindrome (7563663657).

The spelling of 3141242244 in words is "three billion, one hundred forty-one million, two hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1477 1899 2532 2954 3798 4431 5908 7596 8862 13293 17724 26586 53172 59077 118154 177231 236308 354462 413539 531693 708924 827078 1063386 1240617 1654156 2126772 2481234 3721851 4962468 7443702 12465247 14887404 24930494 37395741 49860988 74791482 87256729 112187223 149582964 174513458 224374446 261770187 349026916 448748892 523540374 785310561 1047080748 1570621122 3141242244