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110024143424 = 2613307430751
BaseRepresentation
bin110011001110111110…
…0110011001001000000
3101111222202211120220222
41212131330303021000
53300312140042144
6122313331122212
710643333534306
oct1463574631100
9344882746828
10110024143424
114272a840458
12193a6a43368
13a4b5501260
14547a4aa276
152cde2b62ee
hex199df33240

110024143424 has 56 divisors (see below), whose sum is σ = 235890133248. Its totient is φ = 50614848000.

The previous prime is 110024143421. The next prime is 110024143447. The reversal of 110024143424 is 424341420011.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 110024143393 and 110024143402.

It is not an unprimeable number, because it can be changed into a prime (110024143421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40049 + ... + 470799.

It is an arithmetic number, because the mean of its divisors is an integer number (4212323808).

Almost surely, 2110024143424 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 110024143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117945066624).

110024143424 is an abundant number, since it is smaller than the sum of its proper divisors (125865989824).

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

110024143424 is a wasteful number, since it uses less digits than its factorization.

110024143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431083 (or 431073 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 110024143424 its reverse (424341420011), we get a palindrome (534365563435).

The spelling of 110024143424 in words is "one hundred ten billion, twenty-four million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 307 416 614 832 1228 2456 3991 4912 7982 9824 15964 19648 31928 63856 127712 255424 430751 861502 1723004 3446008 5599763 6892016 11199526 13784032 22399052 27568064 44798104 89596208 132240557 179192416 264481114 358384832 528962228 1057924456 1719127241 2115848912 3438254482 4231697824 6876508964 8463395648 13753017928 27506035856 55012071712 110024143424