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11144514233344 = 21095153114377
BaseRepresentation
bin1010001000101100100011…
…0011111110010000000000
31110110101221100200101001011
42202023020303332100000
52430042431120431334
635411415201050304
72230110310663642
oct242131063762000
943411840611034
1011144514233344
1136073a8825408
1212bba6b326994
1362ac0030422b
142a757c536892
15144d6387b564
hexa22c8cfe400

11144514233344 has 44 divisors (see below), whose sum is σ = 22278574061964. Its totient is φ = 5572149837824.

The previous prime is 11144514233341. The next prime is 11144514233387. The reversal of 11144514233344 is 44333241544111.

It can be written as a sum of positive squares in 2 ways, for example, as 5773986079744 + 5370528153600 = 2402912^2 + 2317440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11144514233297 and 11144514233306.

It is not an unprimeable number, because it can be changed into a prime (11144514233341) 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 3 ways as a sum of consecutive naturals, for example, 97379484 + ... + 97493860.

It is an arithmetic number, because the mean of its divisors is an integer number (506331228681).

Almost surely, 211144514233344 is an apocalyptic number.

It is an amenable number.

11144514233344 is a deficient number, since it is larger than the sum of its proper divisors (11134059828620).

11144514233344 is an equidigital number, since it uses as much as digits as its factorization.

11144514233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209550 (or 209532 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

Adding to 11144514233344 its reverse (44333241544111), we get a palindrome (55477755777455).

The spelling of 11144514233344 in words is "eleven trillion, one hundred forty-four billion, five hundred fourteen million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 95153 114377 190306 228754 380612 457508 761224 915016 1522448 1830032 3044896 3660064 6089792 7320128 12179584 14640256 24359168 29280512 48718336 58561024 97436672 117122048 10883314681 21766629362 43533258724 87066517448 174133034896 348266069792 696532139584 1393064279168 2786128558336 5572257116672 11144514233344