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243381183342 = 2311291021124543
BaseRepresentation
bin1110001010101010100…
…1100010001101101110
3212021012122122010120120
43202222221202031232
512441421040331332
6303450251225410
723404132632123
oct3425251421556
9767178563516
10243381183342
1194243373340
123b203a48266
1319c48a3992b
14bacb75c74a
1564e6be832c
hex38aaa6236e

243381183342 has 64 divisors (see below), whose sum is σ = 549866741760. Its totient is φ = 71138390400.

The previous prime is 243381183319. The next prime is 243381183359.

243381183342 is nontrivially palindromic in base 10.

243381183342 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-3 number, since 3×2433811833423 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243381183294 and 243381183303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1891923 + ... + 2016465.

It is an arithmetic number, because the mean of its divisors is an integer number (8591667840).

Almost surely, 2243381183342 is an apocalyptic number.

243381183342 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 243381183342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274933370880).

243381183342 is an abundant number, since it is smaller than the sum of its proper divisors (306485558418).

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

243381183342 is a wasteful number, since it uses less digits than its factorization.

243381183342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125609.

The product of its digits is 331776, while the sum is 42.

The spelling of 243381183342 in words is "two hundred forty-three billion, three hundred eighty-one million, one hundred eighty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1021 1914 2042 3063 6126 11231 22462 29609 33693 59218 67386 88827 124543 177654 249086 325699 373629 651398 747258 977097 1369973 1954194 2739946 3611747 4109919 7223494 8219838 10835241 21670482 39729217 79458434 119187651 127158403 238375302 254316806 381475209 762950418 1398742433 2797484866 3687593687 4196227299 7375187374 8392454598 11062781061 22125562122 40563530557 81127061114 121690591671 243381183342