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814353498343 = 71123929349481
BaseRepresentation
bin10111101100110110100…
…00000100000011100111
32212211222200210000010101
423312123100010003213
5101320243443421333
61422035301404531
7112556303344660
oct13663320040347
92784880700111
10814353498343
11294402357520
121119b1409747
135ba40897b68
142b5b477a367
15162b34a067d
hexbd9b4040e7

814353498343 has 32 divisors (see below), whose sum is σ = 1059576671232. Its totient is φ = 606893971200.

The previous prime is 814353498311. The next prime is 814353498377. The reversal of 814353498343 is 343894353418.

It is a happy number.

It is not a de Polignac number, because 814353498343 - 25 = 814353498311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814353498043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16433163 + ... + 16482643.

It is an arithmetic number, because the mean of its divisors is an integer number (33111770976).

Almost surely, 2814353498343 is an apocalyptic number.

814353498343 is a deficient number, since it is larger than the sum of its proper divisors (245223172889).

814353498343 is a wasteful number, since it uses less digits than its factorization.

814353498343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58815.

The product of its digits is 14929920, while the sum is 55.

The spelling of 814353498343 in words is "eight hundred fourteen billion, three hundred fifty-three million, four hundred ninety-eight thousand, three hundred forty-three".

Divisors: 1 7 11 23 77 161 253 1771 9293 49481 65051 102223 213739 346367 544291 715561 1138063 1496173 2351129 3810037 7966441 12518693 16457903 87630851 459826933 3218788531 5058096263 10576019459 35406673841 74032136213 116336214049 814353498343