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11114442024 = 2337306121613
BaseRepresentation
bin10100101100111100…
…01110110100101000
31001200120210011011220
422112132032310220
5140230244121044
65034513022040
7542266125030
oct122636166450
931616704156
1011114442024
1147938a3884
1221a2254920
13108185681a
147761808c0
15450b48019
hex29678ed28

11114442024 has 64 divisors (see below), whose sum is σ = 31767392640. Its totient is φ = 3174370560.

The previous prime is 11114442011. The next prime is 11114442037. The reversal of 11114442024 is 42024441111.

11114442024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11114442011) and next prime (11114442037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11114441985 and 11114442003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 503442 + ... + 525054.

It is an arithmetic number, because the mean of its divisors is an integer number (496365510).

Almost surely, 211114442024 is an apocalyptic number.

11114442024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11114442024 is an abundant number, since it is smaller than the sum of its proper divisors (20652950616).

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

11114442024 is a wasteful number, since it uses less digits than its factorization.

11114442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24690 (or 24686 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11114442024 its reverse (42024441111), we get a palindrome (53138883135).

The spelling of 11114442024 in words is "eleven billion, one hundred fourteen million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3061 6122 9183 12244 18366 21427 21613 24488 36732 42854 43226 64281 64839 73464 85708 86452 128562 129678 151291 171416 172904 257124 259356 302582 453873 514248 518712 605164 907746 1210328 1815492 3630984 66157393 132314786 198472179 264629572 396944358 463101751 529259144 793888716 926203502 1389305253 1587777432 1852407004 2778610506 3704814008 5557221012 11114442024