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1340214120431 = 10337334884149
BaseRepresentation
bin10011100000001010111…
…111001000111111101111
311202010022211022102201222
4103200022333020333233
5133424224303323211
62503404051453555
7165553520030114
oct23401277107757
94663284272658
101340214120431
11477421a2806a
121978aabb72bb
13994c6639184
1448c1c37290b
1524cde6051db
hex1380afc8fef

1340214120431 has 8 divisors (see below), whose sum is σ = 1356853898400. Its totient is φ = 1323644111712.

The previous prime is 1340214120331. The next prime is 1340214120499.

1340214120431 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1340214120431 is a prime.

It is a super-2 number, since 2×13402141204312 (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 1340214120431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340214120131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17403656 + ... + 17480493.

It is an arithmetic number, because the mean of its divisors is an integer number (169606737300).

Almost surely, 21340214120431 is an apocalyptic number.

1340214120431 is a deficient number, since it is larger than the sum of its proper divisors (16639777969).

1340214120431 is a wasteful number, since it uses less digits than its factorization.

1340214120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34884625.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 1340214120431 in words is "one trillion, three hundred forty billion, two hundred fourteen million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 103 373 38419 34884149 3593067347 13011787577 1340214120431