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24434342420 = 2251771865713
BaseRepresentation
bin10110110000011001…
…100111101000010100
32100001212112012111012
4112300121213220110
5400020142424140
615120332431352
71523335324625
oct266031475024
970055465435
1024434342420
11a3a9605124
12489b018558
1323c52a32a7
14127b1bda4c
159801da265
hex5b0667a14

24434342420 has 24 divisors (see below), whose sum is σ = 54330479784. Its totient is φ = 9198811136.

The previous prime is 24434342417. The next prime is 24434342431. The reversal of 24434342420 is 2424343442.

It can be written as a sum of positive squares in 4 ways, for example, as 13307468164 + 11126874256 = 115358^2 + 105484^2 .

It is a super-2 number, since 2×244343424202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35932517 + ... + 35933196.

It is an arithmetic number, because the mean of its divisors is an integer number (2263769991).

Almost surely, 224434342420 is an apocalyptic number.

24434342420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24434342420 is an abundant number, since it is smaller than the sum of its proper divisors (29896137364).

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

24434342420 is a wasteful number, since it uses less digits than its factorization.

24434342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71865739 (or 71865737 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 24434342420 its reverse (2424343442), we get a palindrome (26858685862).

The spelling of 24434342420 in words is "twenty-four billion, four hundred thirty-four million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 71865713 143731426 287462852 359328565 718657130 1221717121 1437314260 2443434242 4886868484 6108585605 12217171210 24434342420