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24412201424 = 241329028181
BaseRepresentation
bin10110101111000101…
…001010000111010000
32100000022212022202022
4112233011022013100
5344444010421144
615114222111012
71522646200622
oct265705120720
970008768668
1024412201424
11a398062286
12489371b468
1323c0820500
141278298c12
1597d2b4cee
hex5af14a1d0

24412201424 has 30 divisors (see below), whose sum is σ = 51216876486. Its totient is φ = 11267168640.

The previous prime is 24412201423. The next prime is 24412201483. The reversal of 24412201424 is 42410221442.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3763600 + 24408437824 = 1940^2 + 156232^2 .

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 = 24412201393 and 24412201402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24412201423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4511387 + ... + 4516794.

Almost surely, 224412201424 is an apocalyptic number.

It is an amenable number.

24412201424 is an abundant number, since it is smaller than the sum of its proper divisors (26804675062).

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

24412201424 is a wasteful number, since it uses less digits than its factorization.

24412201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028215 (or 9028196 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 24412201424 its reverse (42410221442), we get a palindrome (66822422866).

The spelling of 24412201424 in words is "twenty-four billion, four hundred twelve million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 9028181 18056362 36112724 72225448 117366353 144450896 234732706 469465412 938930824 1525762589 1877861648 3051525178 6103050356 12206100712 24412201424