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22444144002513 = 3219113056511927
BaseRepresentation
bin1010001101001101011110…
…01110110000010111010001
32221110122020222121101212200
411012212233032300113101
510420211101331040023
6115422410350313413
74504351545165522
oct506465716602721
987418228541780
1022444144002513
117173565198722
1226259aa4b8869
13c6a62093948c
14578433998849
1528dc54e61743
hex1469af3b05d1

22444144002513 has 12 divisors (see below), whose sum is σ = 32589053772288. Its totient is φ = 14884423595640.

The previous prime is 22444144002509. The next prime is 22444144002559. The reversal of 22444144002513 is 31520044144422.

22444144002513 is a `hidden beast` number, since 2 + 244 + 4 + 1 + 4 + 400 + 2 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 22444144002513 - 22 = 22444144002509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22444144002583) 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 11 ways as a sum of consecutive naturals, for example, 6528254245 + ... + 6528257682.

It is an arithmetic number, because the mean of its divisors is an integer number (2715754481024).

Almost surely, 222444144002513 is an apocalyptic number.

It is an amenable number.

22444144002513 is a deficient number, since it is larger than the sum of its proper divisors (10144909769775).

22444144002513 is a wasteful number, since it uses less digits than its factorization.

22444144002513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056512124 (or 13056512121 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 22444144002513 its reverse (31520044144422), we get a palindrome (53964188146935).

The spelling of 22444144002513 in words is "twenty-two trillion, four hundred forty-four billion, one hundred forty-four million, two thousand, five hundred thirteen".

Divisors: 1 3 9 191 573 1719 13056511927 39169535781 117508607343 2493793778057 7481381334171 22444144002513