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444331133444 = 221110098434851
BaseRepresentation
bin1100111011101000011…
…00110000101000000100
31120110220012102021122002
412131310030300220010
524234442232232234
6540042314124432
744046640214012
oct6356414605004
91513805367562
10444331133444
11161492383070
1272145720718
1332b91ac0c53
1417711a7d8b2
15b85876427e
hex6774330a04

444331133444 has 12 divisors (see below), whose sum is σ = 848268527568. Its totient is φ = 201968697000.

The previous prime is 444331133419. The next prime is 444331133447.

444331133444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443311334442 (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444331133398 and 444331133407.

It is not an unprimeable number, because it can be changed into a prime (444331133447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5049217382 + ... + 5049217469.

It is an arithmetic number, because the mean of its divisors is an integer number (70689043964).

Almost surely, 2444331133444 is an apocalyptic number.

444331133444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444331133444 is a deficient number, since it is larger than the sum of its proper divisors (403937394124).

444331133444 is a wasteful number, since it uses less digits than its factorization.

444331133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098434866 (or 10098434864 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 444331 and 133444, that added together give a palindrome (577775).

The spelling of 444331133444 in words is "four hundred forty-four billion, three hundred thirty-one million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 10098434851 20196869702 40393739404 111082783361 222165566722 444331133444