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1340142410431 = 11297111406341
BaseRepresentation
bin10011100000000110101…
…101100101101010111111
311202010010211101012010001
4103200012231211222333
5133424102424113211
62503353010455131
7165551656352056
oct23400655455277
94663124335101
101340142410431
114773954a9300
1219788ab944a7
13994b481c216
1448c12a2739d
1524cd818cac1
hex13806b65abf

1340142410431 has 12 divisors (see below), whose sum is σ = 1474566268392. Its totient is φ = 1217056478000.

The previous prime is 1340142410419. The next prime is 1340142410479.

1340142410431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1340142410431 - 213 = 1340142402239 is a prime.

It is a super-2 number, since 2×13401424104312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1340142410431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340142410401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5585680 + ... + 5820661.

It is an arithmetic number, because the mean of its divisors is an integer number (122880522366).

Almost surely, 21340142410431 is an apocalyptic number.

1340142410431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1340142410431 is a deficient number, since it is larger than the sum of its proper divisors (134423857961).

1340142410431 is a wasteful number, since it uses less digits than its factorization.

1340142410431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11407334 (or 11407323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1340142410431 in words is "one trillion, three hundred forty billion, one hundred forty-two million, four hundred ten thousand, four hundred thirty-one".

Divisors: 1 11 121 971 10681 117491 11406341 125469751 1380167261 11075557111 121831128221 1340142410431