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4424444244 = 22321112299091
BaseRepresentation
bin1000001111011011…
…11010100101010100
3102102100101001111100
410013231322211110
533030124203434
62011011110100
7214433104233
oct40755724524
912370331440
104424444244
1119705354a0
12a358a2330
1355684125c
142dd87cb1a
151ad666699
hex107b7a954

4424444244 has 72 divisors (see below), whose sum is σ = 12212010720. Its totient is φ = 1339502400.

The previous prime is 4424444237. The next prime is 4424444249.

4424444244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4424444199 and 4424444208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424444249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482139 + ... + 491229.

It is an arithmetic number, because the mean of its divisors is an integer number (169611260).

Almost surely, 24424444244 is an apocalyptic number.

4424444244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4424444244 is an abundant number, since it is smaller than the sum of its proper divisors (7787566476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4424444244 is a wasteful number, since it uses less digits than its factorization.

4424444244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10336 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The square root of 4424444244 is about 66516.4960291806. The cubic root of 4424444244 is about 1641.6714374271.

It can be divided in two parts, 44244 and 44244, that added together give a palindrome (88488).

The spelling of 4424444244 in words is "four billion, four hundred twenty-four million, four hundred forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1229 2458 3687 4916 7374 9091 11061 13519 14748 18182 22122 27038 27273 36364 40557 44244 54076 54546 81114 81819 100001 109092 121671 162228 163638 200002 243342 300003 327276 400004 486684 600006 900009 1200012 1800018 3600036 11172839 22345678 33518517 44691356 67037034 100555551 122901229 134074068 201111102 245802458 368703687 402222204 491604916 737407374 1106111061 1474814748 2212222122 4424444244