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12443113344 = 273231408867
BaseRepresentation
bin10111001011010101…
…01101011110000000
31012010011220122120210
423211222231132000
5200440414111334
65414415034120
7620231501244
oct134552553600
935104818523
1012443113344
1153058a4252
1224b320b940
131233bbca7c
14860806424
154cc5ed5e9
hex2e5aad780

12443113344 has 64 divisors (see below), whose sum is σ = 34489088640. Its totient is φ = 3967366656.

The previous prime is 12443113337. The next prime is 12443113349. The reversal of 12443113344 is 44331134421.

12443113344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443113349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695602 + ... + 713265.

It is an arithmetic number, because the mean of its divisors is an integer number (538892010).

Almost surely, 212443113344 is an apocalyptic number.

It is an amenable number.

12443113344 is an abundant number, since it is smaller than the sum of its proper divisors (22045975296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12443113344 is a wasteful number, since it uses less digits than its factorization.

12443113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408907 (or 1408895 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 12443113344 its reverse (44331134421), we get a palindrome (56774247765).

The spelling of 12443113344 in words is "twelve billion, four hundred forty-three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 1408867 2817734 4226601 5635468 8453202 11270936 16906404 22541872 32403941 33812808 45083744 64807882 67625616 90167488 97211823 129615764 135251232 180334976 194423646 259231528 270502464 388847292 518463056 541004928 777694584 1036926112 1555389168 2073852224 3110778336 4147704448 6221556672 12443113344