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1323143442342 = 2322331137327551
BaseRepresentation
bin10011010000010001011…
…111101010111110100110
311200111021010211010201100
4103100101133222332212
5133134244210123332
62451502123540530
7164410504456251
oct23202137527646
94614233733640
101323143442342
11470161a84a47
1219452608a746
1397a05aca717
144807d136098
1524640b1b67c
hex134117eafa6

1323143442342 has 96 divisors (see below), whose sum is σ = 3009228558336. Its totient is φ = 419372712000.

The previous prime is 1323143442323. The next prime is 1323143442353. The reversal of 1323143442342 is 2432443413231.

1323143442342 is a `hidden beast` number, since 1 + 3 + 231 + 43 + 4 + 42 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1323143442297 and 1323143442306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48011467 + ... + 48039017.

It is an arithmetic number, because the mean of its divisors is an integer number (31346130816).

Almost surely, 21323143442342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323143442342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504614279168).

1323143442342 is an abundant number, since it is smaller than the sum of its proper divisors (1686085115994).

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

1323143442342 is a wasteful number, since it uses less digits than its factorization.

1323143442342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28266 (or 28263 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 1323143442342 its reverse (2432443413231), we get a palindrome (3755586855573).

The spelling of 1323143442342 in words is "one trillion, three hundred twenty-three billion, one hundred forty-three million, four hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 311 373 414 622 746 933 1119 1866 2238 2799 3357 5598 6714 7153 8579 14306 17158 21459 25737 27551 42918 51474 55102 64377 77211 82653 116003 128754 154422 165306 232006 247959 348009 495918 633673 696018 1044027 1267346 1901019 2088054 2668069 3802038 5336138 5703057 8004207 8568361 10276523 11406114 16008414 17136722 20553046 24012621 25705083 30829569 48025242 51410166 61659138 77115249 92488707 154230498 184977414 197072303 236360029 394144606 472720058 591216909 709080087 1182433818 1418160174 1773650727 2127240261 3195998653 3547301454 4254480522 6391997306 9587995959 19175991918 28763987877 57527975754 73507969019 147015938038 220523907057 441047814114 661571721171 1323143442342