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24240244240 = 2451717823709
BaseRepresentation
bin10110100100110101…
…001100011000010000
32022120100021222211201
4112210311030120100
5344121000303430
615045200320544
71515460451002
oct264465143020
968510258751
1024240244240
11a309a93303
124846013154
1323940043b4
14125d4d6372
1596d1498ca
hex5a4d4c610

24240244240 has 40 divisors (see below), whose sum is σ = 59673781080. Its totient is φ = 9125738496.

The previous prime is 24240244211. The next prime is 24240244241. The reversal of 24240244240 is 4244204242.

It can be written as a sum of positive squares in 4 ways, for example, as 2811968784 + 21428275456 = 53028^2 + 146384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 24240244199 and 24240244208.

It is not an unprimeable number, because it can be changed into a prime (24240244241) 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, 8910495 + ... + 8913214.

It is an arithmetic number, because the mean of its divisors is an integer number (1491844527).

Almost surely, 224240244240 is an apocalyptic number.

24240244240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24240244240 is an abundant number, since it is smaller than the sum of its proper divisors (35433536840).

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

24240244240 is a wasteful number, since it uses less digits than its factorization.

24240244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823739 (or 17823733 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 24240244240 its reverse (4244204242), we get a palindrome (28484448482).

The spelling of 24240244240 in words is "twenty-four billion, two hundred forty million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 17823709 35647418 71294836 89118545 142589672 178237090 285179344 303003053 356474180 606006106 712948360 1212012212 1425896720 1515015265 2424024424 3030030530 4848048848 6060061060 12120122120 24240244240