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342414414243 = 32114773590031
BaseRepresentation
bin1001111101110010111…
…11010101000110100011
31012201211110010111221100
410332321133111012203
521102231042223433
6421145241125443
733511230332616
oct4767137250643
91181743114840
10342414414243
11122243012510
1256441a89883
132639c175945
141280424217d
158d91117b13
hex4fb97d51a3

342414414243 has 24 divisors (see below), whose sum is σ = 551042159616. Its totient is φ = 203108482800.

The previous prime is 342414414229. The next prime is 342414414271.

342414414243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342414414243 - 236 = 273694937507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342414414198 and 342414414207.

It is not an unprimeable number, because it can be changed into a prime (342414418243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36790363 + ... + 36799668.

It is an arithmetic number, because the mean of its divisors is an integer number (22960089984).

Almost surely, 2342414414243 is an apocalyptic number.

342414414243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342414414243 is a deficient number, since it is larger than the sum of its proper divisors (208627745373).

342414414243 is a wasteful number, since it uses less digits than its factorization.

342414414243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73590095 (or 73590092 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 342414 and 414243, that added together give a palindrome (756657).

The spelling of 342414414243 in words is "three hundred forty-two billion, four hundred fourteen million, four hundred fourteen thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 73590031 220770093 662310279 809490341 2428471023 3458731457 7285413069 10376194371 31128583113 38046046027 114138138081 342414414243