Search a number
-
+
342513315243 = 321110134254757
BaseRepresentation
bin1001111101111110110…
…00100110110110101011
31012202002100020012121100
410332333120212312223
521102431402041433
6421203133012443
733513541100001
oct4767730466653
91182070205540
10342513315243
11122293923280
125646b024123
13263b67c3148
1412813428a71
158d99b51b13
hex4fbf626dab

342513315243 has 24 divisors (see below), whose sum is σ = 545061709296. Its totient is φ = 205528536000.

The previous prime is 342513315239. The next prime is 342513315253.

342513315243 is a `hidden beast` number, since 34 + 2 + 51 + 331 + 5 + 243 = 666.

342513315243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342513315243 - 22 = 342513315239 is a prime.

It is a super-2 number, since 2×3425133152432 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342513315198 and 342513315207.

It is not an unprimeable number, because it can be changed into a prime (342513315223) 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, 17117380 + ... + 17137377.

It is an arithmetic number, because the mean of its divisors is an integer number (22710904554).

Almost surely, 2342513315243 is an apocalyptic number.

342513315243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342513315243 is a deficient number, since it is larger than the sum of its proper divisors (202548394053).

342513315243 is a wasteful number, since it uses less digits than its factorization.

342513315243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34254875 (or 34254872 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 342513 and 315243, that added together give a palindrome (657756).

The spelling of 342513315243 in words is "three hundred forty-two billion, five hundred thirteen million, three hundred fifteen thousand, two hundred forty-three".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 34254757 102764271 308292813 376802327 1130406981 3391220943 3459730457 10379191371 31137574113 38057035027 114171105081 342513315243