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24421143424 = 27438115471
BaseRepresentation
bin10110101111100111…
…010001001110000000
32100000221200121212111
4112233213101032000
5400003303042144
615115141505104
71523115202606
oct265747211600
970027617774
1024421143424
11a3a210a567
124896712194
1323c2631632
141279545876
1597de7e534
hex5af9d1380

24421143424 has 64 divisors (see below), whose sum is σ = 49853422080. Its totient is φ = 11909721600.

The previous prime is 24421143413. The next prime is 24421143431. The reversal of 24421143424 is 42434112442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×244211434242 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4461009 + ... + 4466479.

It is an arithmetic number, because the mean of its divisors is an integer number (778959720).

Almost surely, 224421143424 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 24421143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24926711040).

24421143424 is an abundant number, since it is smaller than the sum of its proper divisors (25432278656).

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

24421143424 is an equidigital number, since it uses as much as digits as its factorization.

24421143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6327 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

Adding to 24421143424 its reverse (42434112442), we get a palindrome (66855255866).

The spelling of 24421143424 in words is "twenty-four billion, four hundred twenty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 811 1376 1622 2752 3244 5471 5504 6488 10942 12976 21884 25952 34873 43768 51904 69746 87536 103808 139492 175072 235253 278984 350144 470506 557968 700288 941012 1115936 1882024 2231872 3764048 4436981 4463744 7528096 8873962 15056192 17747924 30112384 35495848 70991696 141983392 190790183 283966784 381580366 567933568 763160732 1526321464 3052642928 6105285856 12210571712 24421143424