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243633336342 = 2311172331378231
BaseRepresentation
bin1110001011100110101…
…1011011000000010110
3212021212020002211110120
43202321223123000112
512442430113230332
6303531255532410
723413314122064
oct3427153330026
9767766084416
10243633336342
1194362737650
123b27438a106
1319c890542a6
14bb13039034
15650de0532c
hex38b9adb016

243633336342 has 256 divisors, whose sum is σ = 622709047296. Its totient is φ = 62574336000.

The previous prime is 243633336301. The next prime is 243633336343.

243633336342 is nontrivially palindromic in base 10.

243633336342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 243633336294 and 243633336303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243633336343) 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 127 ways as a sum of consecutive naturals, for example, 29595367 + ... + 29603597.

It is an arithmetic number, because the mean of its divisors is an integer number (2432457216).

Almost surely, 2243633336342 is an apocalyptic number.

243633336342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243633336342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311354523648).

243633336342 is an abundant number, since it is smaller than the sum of its proper divisors (379075710954).

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

243633336342 is a wasteful number, since it uses less digits than its factorization.

243633336342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 243633 and 336342, that added together give a palindrome (579975).

The spelling of 243633336342 in words is "two hundred forty-three billion, six hundred thirty-three million, three hundred thirty-six thousand, three hundred forty-two".