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123234441040 = 2451540430513
BaseRepresentation
bin111001011000101011…
…0000101011101010000
3102210002102100020111001
41302301112011131100
54004341004103130
6132340233431344
711621602315444
oct1626126053520
9383072306431
10123234441040
11482996a1597
121ba72b6b554
13b80c3243c9
145d70b38824
153313e086ca
hex1cb1585750

123234441040 has 20 divisors (see below), whose sum is σ = 286520075604. Its totient is φ = 49293776384.

The previous prime is 123234441017. The next prime is 123234441041. The reversal of 123234441040 is 40144432321.

It can be written as a sum of positive squares in 2 ways, for example, as 36850177296 + 86384263744 = 191964^2 + 293912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123234441041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770215177 + ... + 770215336.

Almost surely, 2123234441040 is an apocalyptic number.

123234441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123234441040 is an abundant number, since it is smaller than the sum of its proper divisors (163285634564).

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

123234441040 is a wasteful number, since it uses less digits than its factorization.

123234441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540430526 (or 1540430520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 123234441040 its reverse (40144432321), we get a palindrome (163378873361).

The spelling of 123234441040 in words is "one hundred twenty-three billion, two hundred thirty-four million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1540430513 3080861026 6161722052 7702152565 12323444104 15404305130 24646888208 30808610260 61617220520 123234441040