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24442123204131 = 353153724045309
BaseRepresentation
bin1011000111010111000000…
…00100100011011000100011
310012112122101120222001121020
411203223200010203120203
511200424432020013011
6123552320102500523
75101612412166243
oct543534004433043
9105478346861536
1024442123204131
1178739343867a6
1228a9069734743
131083b61623859
1460700dcd7b23
152c5be081e006
hex163ae0123623

24442123204131 has 8 divisors (see below), whose sum is σ = 33204393786960. Its totient is φ = 15987300712032.

The previous prime is 24442123204097. The next prime is 24442123204189. The reversal of 24442123204131 is 13140232124442.

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

It is not a de Polignac number, because 24442123204131 - 27 = 24442123204003 is a prime.

It is a super-2 number, since 2×244421232041312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24442123204092 and 24442123204101.

It is not an unprimeable number, because it can be changed into a prime (24442123204231) 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 7 ways as a sum of consecutive naturals, for example, 76862022496 + ... + 76862022813.

It is an arithmetic number, because the mean of its divisors is an integer number (4150549223370).

Almost surely, 224442123204131 is an apocalyptic number.

24442123204131 is a deficient number, since it is larger than the sum of its proper divisors (8762270582829).

24442123204131 is a wasteful number, since it uses less digits than its factorization.

24442123204131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153724045365.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 24442123204131 its reverse (13140232124442), we get a palindrome (37582355328573).

The spelling of 24442123204131 in words is "twenty-four trillion, four hundred forty-two billion, one hundred twenty-three million, two hundred four thousand, one hundred thirty-one".

Divisors: 1 3 53 159 153724045309 461172135927 8147374401377 24442123204131