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1345416145431 = 38391489358987
BaseRepresentation
bin10011100101000001000…
…011010010101000010111
311202121202100211200111120
4103211001003102220113
5134020403013123211
62510024201135023
7166126444354551
oct23450103225027
94677670750446
101345416145431
11479651380486
1219890118a473
1399b452b0987
14491931c24d1
1524ee6165d06
hex139410d2a17

1345416145431 has 16 divisors (see below), whose sum is σ = 1797237523200. Its totient is φ = 895270877568.

The previous prime is 1345416145393. The next prime is 1345416145439.

1345416145431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1345416145431 - 210 = 1345416144407 is a prime.

It is a super-2 number, since 2×13454161454312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345416145439) 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, 3568320 + ... + 3927306.

It is an arithmetic number, because the mean of its divisors is an integer number (112327345200).

Almost surely, 21345416145431 is an apocalyptic number.

1345416145431 is a deficient number, since it is larger than the sum of its proper divisors (451821377769).

1345416145431 is a wasteful number, since it uses less digits than its factorization.

1345416145431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361318.

The product of its digits is 345600, while the sum is 42.

The spelling of 1345416145431 in words is "one trillion, three hundred forty-five billion, four hundred sixteen million, one hundred forty-five thousand, four hundred thirty-one".

Divisors: 1 3 839 1489 2517 4467 358987 1076961 1249271 3747813 301190093 534531643 903570279 1603594929 448472048477 1345416145431