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24402420042 = 23711132378447
BaseRepresentation
bin10110101110011111…
…110110000101001010
32022222122110101012220
4112232133312011022
5344434004420132
615113232314510
71522500101520
oct265637660512
968878411186
1024402420042
11a3925913a0
1248903a2a36
1323bb7a7300
141276c70310
1597c4d1a2c
hex5ae7f614a

24402420042 has 192 divisors, whose sum is σ = 67676995584. Its totient is φ = 5691928320.

The previous prime is 24402419989. The next prime is 24402420059. The reversal of 24402420042 is 24002420442.

It is a junction number, because it is equal to n+sod(n) for n = 24402419994 and 24402420021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2884663 + ... + 2893109.

It is an arithmetic number, because the mean of its divisors is an integer number (352484352).

Almost surely, 224402420042 is an apocalyptic number.

24402420042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24402420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33838497792).

24402420042 is an abundant number, since it is smaller than the sum of its proper divisors (43274575542).

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

24402420042 is a wasteful number, since it uses less digits than its factorization.

24402420042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8533 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 24402420042 its reverse (24002420442), we get a palindrome (48404840484).

It can be divided in two parts, 24402 and 420042, that added together give a palindrome (444444).

The spelling of 24402420042 in words is "twenty-four billion, four hundred two million, four hundred twenty thousand, forty-two".