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23444153341 = 72312497869
BaseRepresentation
bin10101110101011000…
…010110001111111101
32020111212022101102121
4111311120112033331
5341003200401331
614434201322541
71456653005200
oct256530261775
966455271377
1023444153341
119a40682444
124663496451
1322980bc8ab
1411c58a7937
159232e5c11
hex5756163fd

23444153341 has 18 divisors (see below), whose sum is σ = 28179939870. Its totient is φ = 19446724080.

The previous prime is 23444153287. The next prime is 23444153377. The reversal of 23444153341 is 14335144432.

It can be written as a sum of positive squares in only one way, i.e., 16391680900 + 7052472441 = 128030^2 + 83979^2 .

It is not a de Polignac number, because 23444153341 - 223 = 23435764733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23444153297 and 23444153306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444153141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 201846 + ... + 296023.

It is an arithmetic number, because the mean of its divisors is an integer number (1565552215).

Almost surely, 223444153341 is an apocalyptic number.

It is an amenable number.

23444153341 is a deficient number, since it is larger than the sum of its proper divisors (4735786529).

23444153341 is an equidigital number, since it uses as much as digits as its factorization.

23444153341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497945 (or 497907 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

Adding to 23444153341 its reverse (14335144432), we get a palindrome (37779297773).

It can be divided in two parts, 234441 and 53341, that added together give a palindrome (287782).

The spelling of 23444153341 in words is "twenty-three billion, four hundred forty-four million, one hundred fifty-three thousand, three hundred forty-one".

Divisors: 1 7 31 49 217 961 1519 6727 47089 497869 3485083 15433939 24395581 108037573 478452109 756263011 3349164763 23444153341