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243440311140 = 223551319719559
BaseRepresentation
bin1110001010111000101…
…1000101101101100100
3212021100202220010200000
43202232023011231210
512442031204424030
6303500202421300
723405451334305
oct3425613055544
9767322803600
10243440311140
1194273788994
123b21b801830
1319c5806c8b0
14bad55507ac
1564ebec7860
hex38ae2c5b64

243440311140 has 288 divisors, whose sum is σ = 828920252160. Its totient is φ = 59616539136.

The previous prime is 243440311139. The next prime is 243440311157. The reversal of 243440311140 is 41113044342.

243440311140 is a `hidden beast` number, since 2 + 4 + 344 + 0 + 311 + 1 + 4 + 0 = 666.

243440311140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 12436681 + ... + 12456239.

It is an arithmetic number, because the mean of its divisors is an integer number (2878195320).

Almost surely, 2243440311140 is an apocalyptic number.

243440311140 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 243440311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414460126080).

243440311140 is an abundant number, since it is smaller than the sum of its proper divisors (585479941020).

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

243440311140 is a wasteful number, since it uses less digits than its factorization.

243440311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19793 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 243440311140 its reverse (41113044342), we get a palindrome (284553355482).

The spelling of 243440311140 in words is "two hundred forty-three billion, four hundred forty million, three hundred eleven thousand, one hundred forty".