Search a number
-
+
11224402144 = 254314595591
BaseRepresentation
bin10100111010000011…
…01100100011100000
31001222020200201002221
422131001230203200
5140441421332034
65053441520424
7545102562334
oct123501544340
931866621087
1011224402144
11483a97850a
122213043114
13109b576997
14786a057c4
1545a618bb4
hex29d06c8e0

11224402144 has 48 divisors (see below), whose sum is σ = 22631495040. Its totient is φ = 5476947840.

The previous prime is 11224402127. The next prime is 11224402153. The reversal of 11224402144 is 44120442211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004789 + ... + 2010379.

It is an arithmetic number, because the mean of its divisors is an integer number (471489480).

Almost surely, 211224402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315747520).

11224402144 is an abundant number, since it is smaller than the sum of its proper divisors (11407092896).

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

11224402144 is a wasteful number, since it uses less digits than its factorization.

11224402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7103 (or 7095 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11224402144 its reverse (44120442211), we get a palindrome (55344844355).

The spelling of 11224402144 in words is "eleven billion, two hundred twenty-four million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1459 2918 5591 5836 11182 11672 22364 23344 44728 46688 62737 89456 125474 178912 240413 250948 480826 501896 961652 1003792 1923304 2007584 3846608 7693216 8157269 16314538 32629076 65258152 130516304 261032608 350762567 701525134 1403050268 2806100536 5612201072 11224402144