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342666371341 = 7175925991381
BaseRepresentation
bin1001111110010001000…
…00011110000100001101
31012202111000020021002201
410333020200132010031
521103240042340331
6421230241321501
733520410045460
oct4771040360415
91182430207081
10342666371341
11122362262618
12564b2336291
132640c422098
14128298ab2d7
158da82d6a61
hex4fc881e10d

342666371341 has 48 divisors (see below), whose sum is σ = 422812396800. Its totient is φ = 271101242880.

The previous prime is 342666371329. The next prime is 342666371357. The reversal of 342666371341 is 143173666243.

It is not a de Polignac number, because 342666371341 - 27 = 342666371213 is a prime.

It is a super-2 number, since 2×3426663713412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342666371291 and 342666371300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342666371381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248128471 + ... + 248129851.

It is an arithmetic number, because the mean of its divisors is an integer number (8808591600).

Almost surely, 2342666371341 is an apocalyptic number.

It is an amenable number.

342666371341 is a deficient number, since it is larger than the sum of its proper divisors (80146025459).

342666371341 is a wasteful number, since it uses less digits than its factorization.

342666371341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2063 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The spelling of 342666371341 in words is "three hundred forty-two billion, six hundred sixty-six million, three hundred seventy-one thousand, three hundred forty-one".

Divisors: 1 7 17 59 119 413 599 1003 1381 3481 4193 7021 9667 10183 23477 24367 35341 59177 71281 81479 164339 247387 414239 570353 600797 827219 1385143 2085119 4205579 4807261 5790533 9696001 14062723 14595833 33650827 35447023 48805921 81723437 98439061 248129161 341641447 572064059 829700657 2879549339 5807904599 20156845373 48952338763 342666371341