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4441638361444 = 22191073023180679
BaseRepresentation
bin100000010100010011001…
…0001101101100101100100
3120201121122102011222210221
41000220212101231211210
51040232433410031234
613240243244454124
7635616640066654
oct100504621554544
916647572158727
104441638361444
111462763075229
125b899b84a344
13262ac9a63b6b
14114d9550c364
157a80d115eb4
hex40a2646d964

4441638361444 has 48 divisors (see below), whose sum is σ = 8261209958400. Its totient is φ = 2083570023456.

The previous prime is 4441638361421. The next prime is 4441638361499.

4441638361444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4441638361391 and 4441638361400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24492697 + ... + 24673375.

It is an arithmetic number, because the mean of its divisors is an integer number (172108540800).

Almost surely, 24441638361444 is an apocalyptic number.

It is an amenable number.

4441638361444 is a deficient number, since it is larger than the sum of its proper divisors (3819571596956).

4441638361444 is a wasteful number, since it uses less digits than its factorization.

4441638361444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183832 (or 183830 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 52.

The spelling of 4441638361444 in words is "four trillion, four hundred forty-one billion, six hundred thirty-eight million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 19 38 76 107 214 428 2033 3023 4066 6046 8132 12092 57437 114874 180679 229748 323461 361358 646922 722716 1293844 3432901 6145759 6865802 12291518 13731604 19332653 24583036 38665306 77330612 367320407 546192617 734640814 1092385234 1469281628 2184770468 10377659723 20755319446 41510638892 58442610019 116885220038 233770440076 1110409590361 2220819180722 4441638361444