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34343155134343 = 1121697994916811
BaseRepresentation
bin1111100111100001000111…
…00011111110111110000111
311111121011200112022110022101
413303300203203332332013
514000134240203244333
6201013005550412531
710143132254044126
oct763604343767607
9144534615273271
1034343155134343
11aa40939827100
123a27b25201147
1316217129a9223
1486a309065abd
153e8526e1467d
hex1f3c238fef87

34343155134343 has 24 divisors (see below), whose sum is σ = 37777376019600. Its totient is φ = 31197660172800.

The previous prime is 34343155134319. The next prime is 34343155134347.

34343155134343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34343155134343 - 29 = 34343155133831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34343155134293 and 34343155134302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343155134347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2042889408 + ... + 2042906218.

It is an arithmetic number, because the mean of its divisors is an integer number (1574057334150).

Almost surely, 234343155134343 is an apocalyptic number.

34343155134343 is a deficient number, since it is larger than the sum of its proper divisors (3434220885257).

34343155134343 is a wasteful number, since it uses less digits than its factorization.

34343155134343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28479 (or 28468 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 3434315 and 5134343, that added together give a palindrome (8568658).

The spelling of 34343155134343 in words is "thirty-four trillion, three hundred forty-three billion, one hundred fifty-five million, one hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 11 121 1697 9949 16811 18667 109439 184921 205337 1203829 2034131 16883453 28528267 167252639 185717983 313810937 1839779029 2042897813 3451920307 20237569319 283827728383 3122105012213 34343155134343