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342014311233 = 32747919125687
BaseRepresentation
bin1001111101000011010…
…01000011101101000001
31012200210120021011210100
410332201221003231001
521100421130424413
6421041425353013
733465301451550
oct4764151035501
91180716234710
10342014311233
11122058187171
125634ba98769
13263372c94ba
14127a7051d97
158d6ae33a73
hex4fa1a43b41

342014311233 has 48 divisors (see below), whose sum is σ = 577239736320. Its totient is φ = 191068862688.

The previous prime is 342014311201. The next prime is 342014311277. The reversal of 342014311233 is 332113410243.

It is a happy number.

342014311233 is a `hidden beast` number, since 3 + 4 + 201 + 431 + 1 + 23 + 3 = 666.

It is not a de Polignac number, because 342014311233 - 25 = 342014311201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342014311197 and 342014311206.

It is not an unprimeable number, because it can be changed into a prime (342014311333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658316 + ... + 2784002.

It is an arithmetic number, because the mean of its divisors is an integer number (12025827840).

Almost surely, 2342014311233 is an apocalyptic number.

It is an amenable number.

342014311233 is a deficient number, since it is larger than the sum of its proper divisors (235225425087).

342014311233 is a wasteful number, since it uses less digits than its factorization.

342014311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126666 (or 126663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 342014311233 its reverse (332113410243), we get a palindrome (674127721476).

It can be divided in two parts, 34201 and 4311233, that added together give a palindrome (4345434).

The spelling of 342014311233 in words is "three hundred forty-two billion, fourteen million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 47 63 141 329 423 919 987 2757 2961 6433 8271 19299 43193 57897 125687 129579 302351 377061 388737 879809 907053 1131183 2639427 2721159 5907289 7918281 17721867 41351023 53165601 115506353 124053069 346519059 372159207 808544471 1039557177 2425633413 5428798591 7276900239 16286395773 38001590137 48859187319 114004770411 342014311233