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1313424216342 = 23474992321087
BaseRepresentation
bin10011000111001110001…
…011110001000100010110
311122120011210101022010000
4103013032023301010112
5133004343044410332
62443213451112130
7163614606430350
oct23071613610426
94576153338100
101313424216342
11467024802667
12192673142646
1396b17339014
14477da3c00d0
1524272720b7c
hex131ce2f1116

1313424216342 has 80 divisors (see below), whose sum is σ = 3370219776000. Its totient is φ = 374511868272.

The previous prime is 1313424216337. The next prime is 1313424216347. The reversal of 1313424216342 is 2436124243131.

1313424216342 is a `hidden beast` number, since 1 + 3 + 13 + 4 + 2 + 4 + 2 + 1 + 634 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1313424216337) and next prime (1313424216347).

It is a junction number, because it is equal to n+sod(n) for n = 1313424216297 and 1313424216306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313424216347) 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 39 ways as a sum of consecutive naturals, for example, 594678 + ... + 1726409.

It is an arithmetic number, because the mean of its divisors is an integer number (42127747200).

Almost surely, 21313424216342 is an apocalyptic number.

1313424216342 is an abundant number, since it is smaller than the sum of its proper divisors (2056795559658).

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

1313424216342 is a wasteful number, since it uses less digits than its factorization.

1313424216342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321607 (or 2321598 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1313424216342 its reverse (2436124243131), we get a palindrome (3749548459473).

The spelling of 1313424216342 in words is "one trillion, three hundred thirteen billion, four hundred twenty-four million, two hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 499 567 998 1134 1497 2994 3493 4491 6986 8982 10479 13473 20958 26946 31437 40419 62874 80838 94311 188622 282933 565866 2321087 4642174 6963261 13926522 16247609 20889783 32495218 41779566 48742827 62669349 97485654 125338698 146228481 188008047 292456962 376016094 438685443 877370886 1158222413 1316056329 2316444826 2632112658 3474667239 6949334478 8107556891 10424001717 16215113782 20848003434 24322670673 31272005151 48645341346 62544010302 72968012019 93816015453 145936024038 187632030906 218904036057 437808072114 656712108171 1313424216342