Search a number
-
+
114532343233240 = 2352863308580831
BaseRepresentation
bin11010000010101010100011…
…101000100011101011011000
3120000112011222220221200101011
4122002222203220203223120
5110002444214331430430
61043331233200503304
733060455143405102
oct3202524350435330
9500464886850334
10114532343233240
11335479919a3089
1210a1917601ab34
134bba479bb129a
14203d575bd2572
15d393b09db22a
hex682aa3a23ad8

114532343233240 has 16 divisors (see below), whose sum is σ = 257697772274880. Its totient is φ = 45812937293280.

The previous prime is 114532343233213. The next prime is 114532343233241. The reversal of 114532343233240 is 42332343235411.

114532343233240 is digitally balanced in base 3, 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 (40), and also a Moran number because the ratio is a prime number: 2863308580831 = 114532343233240 / (1 + 1 + 4 + 5 + 3 + 2 + 3 + 4 + 3 + 2 + 3 + 3 + 2 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 114532343233193 and 114532343233202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114532343233241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1431654290376 + ... + 1431654290455.

It is an arithmetic number, because the mean of its divisors is an integer number (16106110767180).

Almost surely, 2114532343233240 is an apocalyptic number.

114532343233240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114532343233240 is an abundant number, since it is smaller than the sum of its proper divisors (143165429041640).

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

114532343233240 is a wasteful number, since it uses less digits than its factorization.

114532343233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863308580842 (or 2863308580838 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 114532343233240 its reverse (42332343235411), we get a palindrome (156864686468651).

The spelling of 114532343233240 in words is "one hundred fourteen trillion, five hundred thirty-two billion, three hundred forty-three million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2863308580831 5726617161662 11453234323324 14316542904155 22906468646648 28633085808310 57266171616620 114532343233240