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444244442444 = 221147353213217
BaseRepresentation
bin1100111011011110000…
…10000011110101001100
31120110200011021220221022
412131233002003311030
524234303034124234
6540025540053312
744044535312405
oct6355702036514
91513604256838
10444244442444
11161448451910
1272120694238
1332b79b5a1ba
14177043549ac
15b850d3ce2e
hex676f083d4c

444244442444 has 24 divisors (see below), whose sum is σ = 848124914448. Its totient is φ = 201924080640.

The previous prime is 444244442443. The next prime is 444244442533.

444244442444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444244442395 and 444244442404.

It is not an unprimeable number, because it can be changed into a prime (444244442441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976924 + ... + 2190140.

It is an arithmetic number, because the mean of its divisors is an integer number (35338538102).

Almost surely, 2444244442444 is an apocalyptic number.

444244442444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444244442444 is a deficient number, since it is larger than the sum of its proper divisors (403880472004).

444244442444 is a wasteful number, since it uses less digits than its factorization.

444244442444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260585 (or 260583 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 44.

It can be divided in two parts, 444244 and 442444, that added together give a palindrome (886688).

The spelling of 444244442444 in words is "four hundred forty-four billion, two hundred forty-four million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 47353 94706 189412 213217 426434 520883 852868 1041766 2083532 2345387 4690774 9381548 10096464601 20192929202 40385858404 111061110611 222122221222 444244442444