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412343323343214 = 231015326011277569
BaseRepresentation
bin101110111000001100010100…
…1010100000011100101101110
32000001222122012011210010000120
41131300120221110003211232
5413021313111233440324
64020551524015505410
7152565551643135414
oct13560305124034556
92001878164703016
10412343323343214
1110a42690429377a
123a2b6a94828266
1314910a684b4b63
1473b774806b2b4
1532a0ee1d59179
hex177062950396e

412343323343214 has 32 divisors (see below), whose sum is σ = 832854076659360. Its totient is φ = 136086543360000.

The previous prime is 412343323343201. The next prime is 412343323343261.

412343323343214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322117422 + ... + 323394990.

It is an arithmetic number, because the mean of its divisors is an integer number (26026689895605).

Almost surely, 2412343323343214 is an apocalyptic number.

412343323343214 is an abundant number, since it is smaller than the sum of its proper divisors (420510753316146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412343323343214 is a wasteful number, since it uses less digits than its factorization.

412343323343214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810276.

The product of its digits is 1492992, while the sum is 42.

The spelling of 412343323343214 in words is "four hundred twelve trillion, three hundred forty-three billion, three hundred twenty-three million, three hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 101 202 303 606 532601 1065202 1277569 1597803 2555138 3195606 3832707 7665414 53792701 107585402 129034469 161378103 258068938 322756206 387103407 774206814 680434526969 1360869053938 2041303580907 4082607161814 68723887223869 137447774447738 206171661671607 412343323343214