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4144221444 = 22311217167891
BaseRepresentation
bin1111011100000011…
…1100110100000100
3101200211002021002010
43313000330310010
531441410041234
61523121014220
7204461205156
oct36700746404
911624067063
104144221444
111837339a00
12977a84370
1351077934c
142b4576ad6
15193c626e9
hexf703cd04

4144221444 has 72 divisors (see below), whose sum is σ = 11254136544. Its totient is φ = 1181945600.

The previous prime is 4144221437. The next prime is 4144221451. The reversal of 4144221444 is 4441224414.

It is an interprime number because it is at equal distance from previous prime (4144221437) and next prime (4144221451).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59262 + ... + 108629.

It is an arithmetic number, because the mean of its divisors is an integer number (156307452).

Almost surely, 24144221444 is an apocalyptic number.

4144221444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4144221444 is an abundant number, since it is smaller than the sum of its proper divisors (7109915100).

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

4144221444 is a wasteful number, since it uses less digits than its factorization.

4144221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167937 (or 167924 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4144221444 is about 64375.6277173279. The cubic root of 4144221444 is about 1606.2543539093.

Adding to 4144221444 its reverse (4441224414), we get a palindrome (8585445858).

The spelling of 4144221444 in words is "four billion, one hundred forty-four million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6171 8228 12342 24684 167891 335782 503673 671564 1007346 1846801 2014692 2854147 3693602 5540403 5708294 7387204 8562441 11080806 11416588 17124882 20314811 22161612 31395617 34249764 40629622 60944433 62791234 81259244 94186851 121888866 125582468 188373702 243777732 345351787 376747404 690703574 1036055361 1381407148 2072110722 4144221444