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3142005813 = 3219711371889
BaseRepresentation
bin1011101101000111…
…0011010000110101
322002222020102200200
42323101303100311
522413323141223
61235440031113
7140601415542
oct27321632065
98088212620
103142005813
111372642521
12738302499
133b0c4484b
1421b40dbc9
15135c94a43
hexbb473435

3142005813 has 48 divisors (see below), whose sum is σ = 4882550400. Its totient is φ = 1941166080.

The previous prime is 3142005809. The next prime is 3142005847. The reversal of 3142005813 is 3185002413.

It is a happy number.

It is not a de Polignac number, because 3142005813 - 22 = 3142005809 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142005863) 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 47 ways as a sum of consecutive naturals, for example, 1662373 + ... + 1664261.

It is an arithmetic number, because the mean of its divisors is an integer number (101719800).

Almost surely, 23142005813 is an apocalyptic number.

It is an amenable number.

3142005813 is a deficient number, since it is larger than the sum of its proper divisors (1740544587).

3142005813 is a wasteful number, since it uses less digits than its factorization.

3142005813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3142005813 is about 56053.5976811480. The cubic root of 3142005813 is about 1464.6560889038.

The spelling of 3142005813 in words is "three billion, one hundred forty-two million, five thousand, eight hundred thirteen".

Divisors: 1 3 9 19 57 71 137 171 213 411 639 1233 1349 1889 2603 4047 5667 7809 9727 12141 17001 23427 29181 35891 87543 107673 134119 184813 258793 323019 402357 554439 776379 1207071 1663317 2329137 2548261 4917067 7644783 14751201 18374303 22934349 44253603 55122909 165368727 349111757 1047335271 3142005813