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243422124440 = 2351119298312097
BaseRepresentation
bin1110001010110100010…
…1101101100110011000
3212021022111200011012112
43202231011231212120
512442012030440230
6303454312531452
723405140626665
oct3425505554630
9767274604175
10243422124440
1194264496a60
123b2156b0b88
1319c54372931
14bad2d78a6c
1564ea5d3d95
hex38ad16d998

243422124440 has 256 divisors, whose sum is σ = 658518336000. Its totient is φ = 79984558080.

The previous prime is 243422124437. The next prime is 243422124457. The reversal of 243422124440 is 44421224342.

243422124440 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 = 243422124397 and 243422124406.

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 63 ways as a sum of consecutive naturals, for example, 20116472 + ... + 20128568.

It is an arithmetic number, because the mean of its divisors is an integer number (2572337250).

Almost surely, 2243422124440 is an apocalyptic number.

243422124440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243422124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329259168000).

243422124440 is an abundant number, since it is smaller than the sum of its proper divisors (415096211560).

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

243422124440 is a wasteful number, since it uses less digits than its factorization.

243422124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 243422124440 its reverse (44421224342), we get a palindrome (287843348782).

The spelling of 243422124440 in words is "two hundred forty-three billion, four hundred twenty-two million, one hundred twenty-four thousand, four hundred forty".