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314132020231413 = 33723091225646687
BaseRepresentation
bin100011101101100111000111…
…1011110100111110011110101
31112012020201122121020011202010
41013123032033132213303311
5312133214334134401123
63032034131411034433
7123111201205451406
oct10733161736476365
91465221577204663
10314132020231413
1191101707019a7a
122b294a81b9ba19
13106386a393c497
1457800dc7b39ad
15264b464b2c993
hex11db38f7a7cf5

314132020231413 has 16 divisors (see below), whose sum is σ = 430349065090560. Its totient is φ = 203673063692736.

The previous prime is 314132020231409. The next prime is 314132020231423.

314132020231413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314132020231413 - 22 = 314132020231409 is a prime.

It is a super-2 number, since 2×3141320202314132 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314132020231423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612567045 + ... + 613079642.

It is an arithmetic number, because the mean of its divisors is an integer number (26896816568160).

Almost surely, 2314132020231413 is an apocalyptic number.

It is an amenable number.

314132020231413 is a deficient number, since it is larger than the sum of its proper divisors (116217044859147).

314132020231413 is a wasteful number, since it uses less digits than its factorization.

314132020231413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225649036.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 314132020231413 in words is "three hundred fourteen trillion, one hundred thirty-two billion, twenty million, two hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 37 111 2309 6927 85433 256299 1225646687 3676940061 45348927419 136046782257 2830018200283 8490054600849 104710673410471 314132020231413