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12404320331319 = 327474189233479
BaseRepresentation
bin1011010010000001101100…
…0110110110011000110111
31121220211201102010001012100
42310200123012312120313
53111213022001100234
642214244401553143
72420116423065450
oct264403306663067
947824642101170
1012404320331319
113a527084a1054
1214840599457b3
136bc951118597
1430c52d87c127
151679e8c67399
hexb481b1b6637

12404320331319 has 24 divisors (see below), whose sum is σ = 20912653532160. Its totient is φ = 6937370639568.

The previous prime is 12404320331317. The next prime is 12404320331321. The reversal of 12404320331319 is 91313302340421.

12404320331319 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 3 + 2 + 0 + 331 + 319 = 666.

12404320331319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12404320331317) and next prime (12404320331321).

It is not a de Polignac number, because 12404320331319 - 21 = 12404320331317 is a prime.

It is a super-2 number, since 2×124043203313192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404320331311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094613779 + ... + 2094619700.

It is an arithmetic number, because the mean of its divisors is an integer number (871360563840).

Almost surely, 212404320331319 is an apocalyptic number.

12404320331319 is a deficient number, since it is larger than the sum of its proper divisors (8508333200841).

12404320331319 is a wasteful number, since it uses less digits than its factorization.

12404320331319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189233539 (or 4189233536 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 12404320331319 in words is "twelve trillion, four hundred four billion, three hundred twenty million, three hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 4189233479 12567700437 29324634353 37703101311 87973903059 196893973513 263921709177 590681920539 1378257814591 1772045761617 4134773443773 12404320331319