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1340103141 = 321311453873
BaseRepresentation
bin100111111100000…
…0101100111100101
310110101122021220200
41033320011213211
510221031300031
6340551021113
745131455146
oct11770054745
93411567820
101340103141
116284a9363
1231496a799
13184839750
14c9d9dacd
157c9b28e6
hex4fe059e5

1340103141 has 12 divisors (see below), whose sum is σ = 2084605068. Its totient is φ = 824678784.

The previous prime is 1340103133. The next prime is 1340103157. The reversal of 1340103141 is 1413010431.

1340103141 is a `hidden beast` number, since 1 + 340 + 10 + 314 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 698544900 + 641558241 = 26430^2 + 25329^2 .

It is not a de Polignac number, because 1340103141 - 23 = 1340103133 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 (1340103241) 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 11 ways as a sum of consecutive naturals, for example, 5726820 + ... + 5727053.

It is an arithmetic number, because the mean of its divisors is an integer number (173717089).

Almost surely, 21340103141 is an apocalyptic number.

It is an amenable number.

1340103141 is a deficient number, since it is larger than the sum of its proper divisors (744501927).

1340103141 is a wasteful number, since it uses less digits than its factorization.

1340103141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453892 (or 11453889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1340103141 is about 36607.4192070405. The cubic root of 1340103141 is about 1102.5020568552.

Adding to 1340103141 its reverse (1413010431), we get a palindrome (2753113572).

The spelling of 1340103141 in words is "one billion, three hundred forty million, one hundred three thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 11453873 34361619 103084857 148900349 446701047 1340103141