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1240114110421 = 5416013814081
BaseRepresentation
bin10010000010111100100…
…011111001111111010101
311101112221200111001112211
4102002330203321333111
5130304223203013141
62345411153113421
7155411120005204
oct22027443717725
94345850431484
101240114110421
11438a250a3a6a
12180413858871
138cc331b1514
1444043d1b23b
15223d1712d81
hex120bc8f9fd5

1240114110421 has 8 divisors (see below), whose sum is σ = 1244473931288. Its totient is φ = 1235761920000.

The previous prime is 1240114110343. The next prime is 1240114110451.

1240114110421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 31983387921 + 1208130722500 = 178839^2 + 1099150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1240114110421 - 233 = 1231524175829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1240114110392 and 1240114110401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240114110451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1581900 + ... + 2232181.

It is an arithmetic number, because the mean of its divisors is an integer number (155559241411).

Almost surely, 21240114110421 is an apocalyptic number.

It is an amenable number.

1240114110421 is a deficient number, since it is larger than the sum of its proper divisors (4359820867).

1240114110421 is an equidigital number, since it uses as much as digits as its factorization.

1240114110421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815223.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 1240114110421 in words is "one trillion, two hundred forty billion, one hundred fourteen million, one hundred ten thousand, four hundred twenty-one".

Divisors: 1 541 601 325141 3814081 2063417821 2292262681 1240114110421