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12444034473 = 3213293667561
BaseRepresentation
bin10111001011011100…
…01110010110101001
31012010020122110010200
423211232032112221
5200441133100343
65414450502413
7620242355613
oct134556162651
935106573120
1012444034473
115306373312
1224b3594a09
131234153110
148609a5db3
154cc7314d3
hex2e5b8e5a9

12444034473 has 24 divisors (see below), whose sum is σ = 20024888520. Its totient is φ = 7393800960.

The previous prime is 12444034469. The next prime is 12444034511. The reversal of 12444034473 is 37443044421.

12444034473 is a `hidden beast` number, since 1 + 244 + 4 + 0 + 344 + 73 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1241293824 + 11202740649 = 35232^2 + 105843^2 .

It is not a de Polignac number, because 12444034473 - 22 = 12444034469 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444034403) 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 23 ways as a sum of consecutive naturals, for example, 1830388 + ... + 1837173.

It is an arithmetic number, because the mean of its divisors is an integer number (834370355).

Almost surely, 212444034473 is an apocalyptic number.

12444034473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12444034473 is a deficient number, since it is larger than the sum of its proper divisors (7580854047).

12444034473 is a wasteful number, since it uses less digits than its factorization.

12444034473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667609 (or 3667606 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

Adding to 12444034473 its reverse (37443044421), we get a palindrome (49887078894).

The spelling of 12444034473 in words is "twelve billion, four hundred forty-four million, thirty-four thousand, four hundred seventy-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 3667561 11002683 33008049 47678293 106359269 143034879 319077807 429104637 957233421 1382670497 4148011491 12444034473