Search a number
-
+
444942666729 = 331119591336417
BaseRepresentation
bin1100111100110001010…
…01100100101111101001
31120112110211010101121000
412132120221210233221
524242220310313404
6540223121305213
744101044156621
oct6363051445751
91515424111530
10444942666729
11161776599080
1272296495209
1332c5b6c7272
141776cd89881
15b8922ae339
hex6798a64be9

444942666729 has 64 divisors (see below), whose sum is σ = 769776768000. Its totient is φ = 251139294720.

The previous prime is 444942666689. The next prime is 444942666737. The reversal of 444942666729 is 927666249444.

It is a happy number.

It is not a de Polignac number, because 444942666729 - 217 = 444942535657 is a prime.

It is a super-3 number, since 3×4449426667293 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (444942666739) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335272 + ... + 1001145.

It is an arithmetic number, because the mean of its divisors is an integer number (12027762000).

Almost surely, 2444942666729 is an apocalyptic number.

It is an amenable number.

444942666729 is a deficient number, since it is larger than the sum of its proper divisors (324834101271).

444942666729 is a wasteful number, since it uses less digits than its factorization.

444942666729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336515 (or 1336509 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 444942666729 in words is "four hundred forty-four billion, nine hundred forty-two million, six hundred sixty-six thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 19 27 33 57 59 99 171 177 209 297 513 531 627 649 1121 1593 1881 1947 3363 5643 5841 10089 12331 17523 30267 36993 110979 332937 1336417 4009251 12027753 14700587 25391923 36083259 44101761 76175769 78848603 132305283 228527307 236545809 279311153 396915849 685581921 709637427 837933459 867334633 1498123457 2128912281 2513800377 2602003899 4494370371 7541401131 7806011697 13483111113 16479358027 23418035091 40449333339 49438074081 148314222243 444942666729