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4404433132133 = 1011213154923209
BaseRepresentation
bin100000000010111110010…
…1011000001101001100101
3120121001121111222111221222
41000011330223001221211
51034130234340212013
613211211343350125
7633131646624446
oct100057453015145
916531544874858
104404433132133
111448a00752831
125b17378b2345
1325c44a9ca588
141132661a32cd
1579881b84508
hex4017cac1a65

4404433132133 has 16 divisors (see below), whose sum is σ = 4454774214000. Its totient is φ = 4354229260800.

The previous prime is 4404433132091. The next prime is 4404433132163. The reversal of 4404433132133 is 3312313344044.

It can be written as a sum of positive squares in 8 ways, for example, as 9611449444 + 4394821682689 = 98038^2 + 2096383^2 .

It is not a de Polignac number, because 4404433132133 - 224 = 4404416354917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4404433132093 and 4404433132102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404433132163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189761033 + ... + 189784241.

It is an arithmetic number, because the mean of its divisors is an integer number (278423388375).

Almost surely, 24404433132133 is an apocalyptic number.

It is an amenable number.

4404433132133 is a deficient number, since it is larger than the sum of its proper divisors (50341081867).

4404433132133 is a wasteful number, since it uses less digits than its factorization.

4404433132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26072.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 4404433132133 its reverse (3312313344044), we get a palindrome (7716746476177).

The spelling of 4404433132133 in words is "four trillion, four hundred four billion, four hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 101 1213 1549 23209 122513 156449 1878937 2344109 28152517 35950741 189772637 2843404217 3631024841 43608248833 4404433132133