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4144232113444 = 2229117917302977
BaseRepresentation
bin111100010011100111011…
…110111010010100100100
3112200011222122212012220201
4330103213132322110210
51020344341410112234
612451500044440244
7605260635513433
oct74234736722444
915604878765821
104144232113444
111358616a96225
1256b21ab49084
13240a513cb367
14104820a6311a
1572c03501314
hex3c4e77ba524

4144232113444 has 24 divisors (see below), whose sum is σ = 7502577558840. Its totient is φ = 2000640208896.

The previous prime is 4144232113409. The next prime is 4144232113447. The reversal of 4144232113444 is 4443112324414.

It can be written as a sum of positive squares in 4 ways, for example, as 27845596900 + 4116386516544 = 166870^2 + 2028888^2 .

It is a super-2 number, since 2×41442321134442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144232113447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13526884 + ... + 13829860.

It is an arithmetic number, because the mean of its divisors is an integer number (312607398285).

Almost surely, 24144232113444 is an apocalyptic number.

It is an amenable number.

4144232113444 is a deficient number, since it is larger than the sum of its proper divisors (3358345445396).

4144232113444 is a wasteful number, since it uses less digits than its factorization.

4144232113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420927 (or 420925 counting only the distinct ones).

The product of its digits is 147456, while the sum is 37.

Adding to 4144232113444 its reverse (4443112324414), we get a palindrome (8587344437858).

The spelling of 4144232113444 in words is "four trillion, one hundred forty-four billion, two hundred thirty-two million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 29 58 116 117917 235834 302977 471668 605954 1211908 3419593 6839186 8786333 13678372 17572666 35145332 35726138909 71452277818 142904555636 1036058028361 2072116056722 4144232113444