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3142460061 = 321337725909
BaseRepresentation
bin1011101101001110…
…0010001010011101
322010000002111210200
42323103202022131
522413432210221
61235453454113
7140605320066
oct27323421235
98100074720
103142460061
111372922834
127384a1339
133b1073530
1421b4cb56d
15135d34426
hexbb4e229d

3142460061 has 24 divisors (see below), whose sum is σ = 5020393560. Its totient is φ = 1881553536.

The previous prime is 3142460059. The next prime is 3142460089. The reversal of 3142460061 is 1600642413.

3142460061 is a `hidden beast` number, since 3 + 142 + 460 + 0 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130096836 + 3012363225 = 11406^2 + 54885^2 .

It is not a de Polignac number, because 3142460061 - 21 = 3142460059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142460051) 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, 358626 + ... + 367283.

It is an arithmetic number, because the mean of its divisors is an integer number (209183065).

Almost surely, 23142460061 is an apocalyptic number.

It is an amenable number.

3142460061 is a deficient number, since it is larger than the sum of its proper divisors (1877933499).

3142460061 is a wasteful number, since it uses less digits than its factorization.

3142460061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725965 (or 725962 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3142460061 is about 56057.6494423375. The cubic root of 3142460061 is about 1464.7266685567.

It can be divided in two parts, 3142 and 460061, that added together give a triangular number (463203 = T962).

The spelling of 3142460061 in words is "three billion, one hundred forty-two million, four hundred sixty thousand, sixty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 725909 2177727 6533181 9436817 26858633 28310451 80575899 84931353 241727697 349162229 1047486687 3142460061