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444644446444 = 221110105555601
BaseRepresentation
bin1100111100001101101…
…11111101000011101100
31120111201000222020021021
412132012313331003230
524241112434241234
6540133345343524
744060463302002
oct6360667750354
91514630866237
10444644446444
1116163321a830
1272212637ba4
1332c119a0563
141774151aa72
15b8760029b4
hex6786dfd0ec

444644446444 has 12 divisors (see below), whose sum is σ = 848866670568. Its totient is φ = 202111112000.

The previous prime is 444644446399. The next prime is 444644446447.

444644446444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4446444464443 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444644446391 and 444644446400.

It is not an unprimeable number, because it can be changed into a prime (444644446447) 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 3 ways as a sum of consecutive naturals, for example, 5052777757 + ... + 5052777844.

It is an arithmetic number, because the mean of its divisors is an integer number (70738889214).

Almost surely, 2444644446444 is an apocalyptic number.

444644446444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444644446444 is a deficient number, since it is larger than the sum of its proper divisors (404222224124).

444644446444 is a wasteful number, since it uses less digits than its factorization.

444644446444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105555616 (or 10105555614 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 52.

The spelling of 444644446444 in words is "four hundred forty-four billion, six hundred forty-four million, four hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 10105555601 20211111202 40422222404 111161111611 222322223222 444644446444