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342813318243 = 31161445138261
BaseRepresentation
bin1001111110100010100…
…01000001110001100011
31012202212020201221100120
410333101101001301203
521104040202140433
6421253011051323
733524143061214
oct4772121016143
91182766657316
10342813318243
111224281a9a40
12565335a0b43
13264339c2406
14128411dd40b
158db61617b3
hex4fd1441c63

342813318243 has 32 divisors (see below), whose sum is σ = 506939053824. Its totient is φ = 204308400000.

The previous prime is 342813318241. The next prime is 342813318251.

342813318243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342813318243 - 21 = 342813318241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342813318195 and 342813318204.

It is not an unprimeable number, because it can be changed into a prime (342813318241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8940733 + ... + 8978993.

It is an arithmetic number, because the mean of its divisors is an integer number (15841845432).

Almost surely, 2342813318243 is an apocalyptic number.

342813318243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342813318243 is a deficient number, since it is larger than the sum of its proper divisors (164125735581).

342813318243 is a wasteful number, since it uses less digits than its factorization.

342813318243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42787.

The product of its digits is 331776, while the sum is 42.

The spelling of 342813318243 in words is "three hundred forty-two billion, eight hundred thirteen million, three hundred eighteen thousand, two hundred forty-three".

Divisors: 1 3 11 33 61 183 671 2013 4451 13353 38261 48961 114783 146883 271511 420871 814533 1262613 2333921 2986621 7001763 8959863 25673131 77019393 170299711 510899133 1873296821 5619890463 10388282371 31164847113 114271106081 342813318243