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24442123005441 = 322715791445049
BaseRepresentation
bin1011000111010111000000…
…00011110010111000000001
310012112122101120120222001100
411203223200003302320001
511200424431442133231
6123552320054325013
75101612410411051
oct543534003627001
9105478346528040
1024442123005441
117873934260499
1228a9069659769
131083b6158429b
1460700dc85561
152c5be07d01e6
hex163ae00f2e01

24442123005441 has 6 divisors (see below), whose sum is σ = 35305288785650. Its totient is φ = 16294748670288.

The previous prime is 24442123005439. The next prime is 24442123005467. The reversal of 24442123005441 is 14450032124442.

24442123005441 is a `hidden beast` number, since 2 + 4 + 442 + 123 + 0 + 0 + 54 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17646174540225 + 6795948465216 = 4200735^2 + 2606904^2 .

It is not a de Polignac number, because 24442123005441 - 21 = 24442123005439 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 24442123005396 and 24442123005405.

It is not an unprimeable number, because it can be changed into a prime (24442123005431) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1357895722516 + ... + 1357895722533.

Almost surely, 224442123005441 is an apocalyptic number.

It is an amenable number.

24442123005441 is a deficient number, since it is larger than the sum of its proper divisors (10863165780209).

24442123005441 is a wasteful number, since it uses less digits than its factorization.

24442123005441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715791445055 (or 2715791445052 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 24442123005441 its reverse (14450032124442), we get a palindrome (38892155129883).

The spelling of 24442123005441 in words is "twenty-four trillion, four hundred forty-two billion, one hundred twenty-three million, five thousand, four hundred forty-one".

Divisors: 1 3 9 2715791445049 8147374335147 24442123005441