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243142241342 = 272111359294067
BaseRepresentation
bin1110001001110001101…
…0000010110000111110
3212020121000000121202212
43202130122002300332
512440423403210332
6303410434020422
723365201644200
oct3423432026076
9766530017685
10243142241342
1194130502710
123b157a17712
1319c0b399530
14baa7b20770
1564d0c4a8b2
hex389c682c3e

243142241342 has 96 divisors (see below), whose sum is σ = 506879130240. Its totient is φ = 85961373120.

The previous prime is 243142241333. The next prime is 243142241357.

It is a happy number.

243142241342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2431422413422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243142241299 and 243142241308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679793 + ... + 973859.

It is an arithmetic number, because the mean of its divisors is an integer number (5279990940).

Almost surely, 2243142241342 is an apocalyptic number.

243142241342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243142241342 is an abundant number, since it is smaller than the sum of its proper divisors (263736888898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243142241342 is a wasteful number, since it uses less digits than its factorization.

243142241342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294166 (or 294159 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 243142 and 241342, that added together give a palindrome (484484).

The spelling of 243142241342 in words is "two hundred forty-three billion, one hundred forty-two million, two hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 59 77 91 98 118 143 154 182 286 413 539 637 649 767 826 1001 1078 1274 1298 1534 2002 2891 4543 5369 5782 7007 8437 9086 10738 14014 16874 31801 37583 59059 63602 75166 118118 294067 413413 588134 826826 2058469 3234737 3822871 4116938 6469474 7645742 14409283 17349953 22643159 26760097 28818566 34699906 42051581 45286318 53520194 84103162 121449671 158502113 187320679 190849483 225549389 242899342 294361067 317004226 374641358 381698966 451098778 588722134 850147697 1335946381 1578845723 1700295394 2060527469 2481043279 2671892762 3157691446 4121054938 4962086558 9351624667 11051920061 17367302953 18703249334 22103840122 34734605906 121571120671 243142241342