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243223124144 = 2471121310113669
BaseRepresentation
bin1110001010000100111…
…0100101100010110000
3212020210122012220010012
43202201032211202300
512441110104433034
6303422443354052
723400203305130
oct3424116454260
9766718186105
10243223124144
1194172127100
123b17ab22928
1319c22078690
14bab4776ac0
1564d7dc5cce
hex38a13a58b0

243223124144 has 240 divisors, whose sum is σ = 643872747840. Its totient is φ = 86600448000.

The previous prime is 243223124129. The next prime is 243223124171. The reversal of 243223124144 is 441421322342.

It is a happy number.

It is a super-3 number, since 3×2432231241443 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243223124144.

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, 17786942 + ... + 17800610.

It is an arithmetic number, because the mean of its divisors is an integer number (2682803116).

Almost surely, 2243223124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243223124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321936373920).

243223124144 is an abundant number, since it is smaller than the sum of its proper divisors (400649623696).

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

243223124144 is a wasteful number, since it uses less digits than its factorization.

243223124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13803 counting only the distinct ones).

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

Adding to 243223124144 its reverse (441421322342), we get a palindrome (684644446486).

The spelling of 243223124144 in words is "two hundred forty-three billion, two hundred twenty-three million, one hundred twenty-four thousand, one hundred forty-four".