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1340205142031 = 7713515976697
BaseRepresentation
bin10011100000001010011…
…100111001000000001111
311202010022012102021200122
4103200022130321000033
5133424220004021111
62503403131215155
7165553350514040
oct23401234710017
94663265367618
101340205142031
114774179554a8
121978a7ba74bb
13994c4814602
1448c1b0b68c7
1524cdd92ecdb
hex1380a73900f

1340205142031 has 16 divisors (see below), whose sum is σ = 1553300167680. Its totient is φ = 1132520746560.

The previous prime is 1340205141991. The next prime is 1340205142043. The reversal of 1340205142031 is 1302415020431.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1340205142031 is a prime.

It is a super-2 number, since 2×13402051420312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340205142051) 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 15 ways as a sum of consecutive naturals, for example, 17435675 + ... + 17512371.

It is an arithmetic number, because the mean of its divisors is an integer number (97081260480).

Almost surely, 21340205142031 is an apocalyptic number.

1340205142031 is a deficient number, since it is larger than the sum of its proper divisors (213095025649).

1340205142031 is an equidigital number, since it uses as much as digits as its factorization.

1340205142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111934.

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 1340205142031 in words is "one trillion, three hundred forty billion, two hundred five million, one hundred forty-two thousand, thirty-one".

Divisors: 1 7 71 497 35159 76697 246113 536879 2496289 5445487 17474023 38118409 2696589823 18876128761 191457877433 1340205142031