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243441122342 = 211271101140281
BaseRepresentation
bin1110001010111000111…
…0001011110000100110
3212021100211102100102112
43202232032023300212
512442031411403332
6303500232041022
723405461253315
oct3425616136046
9767324370375
10243441122342
1194274192400
123b21bb33172
1319c58294bb2
14bad56c227c
1564ec0d7db2
hex38ae38bc26

243441122342 has 48 divisors (see below), whose sum is σ = 411062172192. Its totient is φ = 108015600000.

The previous prime is 243441122321. The next prime is 243441122347. The reversal of 243441122342 is 243221144342.

It is a happy number.

243441122342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2434411223422 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 243441122299 and 243441122308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243441122347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1665242 + ... + 1805522.

It is an arithmetic number, because the mean of its divisors is an integer number (8563795254).

Almost surely, 2243441122342 is an apocalyptic number.

243441122342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243441122342 is a deficient number, since it is larger than the sum of its proper divisors (167621049850).

243441122342 is a wasteful number, since it uses less digits than its factorization.

243441122342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140477 (or 140466 counting only the distinct ones).

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

Adding to 243441122342 its reverse (243221144342), we get a palindrome (486662266684).

The spelling of 243441122342 in words is "two hundred forty-three billion, four hundred forty-one million, one hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 11 22 71 101 121 142 202 242 781 1111 1562 2222 7171 8591 12221 14342 17182 24442 78881 140281 157762 280562 867691 1543091 1735382 3086182 9959951 14168381 16974001 19919902 28336762 33948002 109559461 155852191 219118922 311704382 1005955051 1205154071 1714374101 2011910102 2410308142 3428748202 11065505561 22131011122 121720561171 243441122342