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11144420440 = 2352982711617
BaseRepresentation
bin10100110000100001…
…00101110001011000
31001202200012012211121
422120100211301120
5140310432423230
65041503335024
7543112003456
oct123020456130
931680165747
1011144420440
1147a980a02a
1221b02b1474
131087b21a2a
1477a1459d6
154535ba77a
hex298425c58

11144420440 has 64 divisors (see below), whose sum is σ = 25973200800. Its totient is φ = 4298477568.

The previous prime is 11144420359. The next prime is 11144420447. The reversal of 11144420440 is 4402444111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144420447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953512 + ... + 965128.

Almost surely, 211144420440 is an apocalyptic number.

11144420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12986600400).

11144420440 is an abundant number, since it is smaller than the sum of its proper divisors (14828780360).

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

11144420440 is a wasteful number, since it uses less digits than its factorization.

11144420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 12480 counting only the distinct ones).

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

Adding to 11144420440 its reverse (4402444111), we get a palindrome (15546864551).

The spelling of 11144420440 in words is "eleven billion, one hundred forty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 827 1160 1654 3308 4135 6616 8270 11617 16540 23234 23983 33080 46468 47966 58085 92936 95932 116170 119915 191864 232340 239830 336893 464680 479660 673786 959320 1347572 1684465 2695144 3368930 6737860 9607259 13475720 19214518 38429036 48036295 76858072 96072590 192145180 278610511 384290360 557221022 1114442044 1393052555 2228884088 2786105110 5572210220 11144420440