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24242442420 = 2235757720101
BaseRepresentation
bin10110100100111101…
…100101000010110100
32022120111102200011210
4112210331211002310
5344122031124140
615045315401420
71515515234460
oct264475450264
968514380153
1024242442420
11a310254889
1248468b3270
1323945c3ab1
14125d9094a0
1596d430d80
hex5a4f650b4

24242442420 has 48 divisors (see below), whose sum is σ = 77575817088. Its totient is φ = 5541129600.

The previous prime is 24242442379. The next prime is 24242442467. The reversal of 24242442420 is 2424424242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 28859631 + ... + 28860470.

It is an arithmetic number, because the mean of its divisors is an integer number (1616162856).

Almost surely, 224242442420 is an apocalyptic number.

24242442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24242442420 is an abundant number, since it is smaller than the sum of its proper divisors (53333374668).

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

24242442420 is a wasteful number, since it uses less digits than its factorization.

24242442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57720120 (or 57720118 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 24242442420 its reverse (2424424242), we get a palindrome (26666866662).

The spelling of 24242442420 in words is "twenty-four billion, two hundred forty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 57720101 115440202 173160303 230880404 288600505 346320606 404040707 577201010 692641212 808081414 865801515 1154402020 1212122121 1616162828 1731603030 2020203535 2424244242 3463206060 4040407070 4848488484 6060610605 8080814140 12121221210 24242442420