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240442330420 = 22542972797793
BaseRepresentation
bin1101111111101101111…
…0101100110100110100
3211222121211122221021001
43133323132230310310
512414411214033140
6302242505333044
723241246041605
oct3377336546464
9758554587231
10240442330420
1192a75477676
123a723797184
131989ac144c6
14b8cd311dac
1563c3bd1e9a
hex37fb7acd34

240442330420 has 24 divisors (see below), whose sum is σ = 505046581704. Its totient is φ = 96154515456.

The previous prime is 240442330411. The next prime is 240442330423. The reversal of 240442330420 is 24033244042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100784661156 + 139657669264 = 317466^2 + 373708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240442330423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312957 + ... + 1484836.

It is an arithmetic number, because the mean of its divisors is an integer number (21043607571).

Almost surely, 2240442330420 is an apocalyptic number.

240442330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240442330420 is an abundant number, since it is smaller than the sum of its proper divisors (264604251284).

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

240442330420 is a wasteful number, since it uses less digits than its factorization.

240442330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802099 (or 2802097 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 240442330420 its reverse (24033244042), we get a palindrome (264475574462).

The spelling of 240442330420 in words is "two hundred forty billion, four hundred forty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 4297 8594 17188 21485 42970 85940 2797793 5595586 11191172 13988965 27977930 55955860 12022116521 24044233042 48088466084 60110582605 120221165210 240442330420