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24002220042 = 2328316065743
BaseRepresentation
bin10110010110101001…
…001101000000001010
32021221202102010000200
4112112221031000022
5343124032020132
615005414513030
71506540334623
oct262651150012
967852363020
1024002220042
11a1a769a199
12479a365776
1323568c5988
141239a56a4a
159572cdd7c
hex596a4d00a

24002220042 has 24 divisors (see below), whose sum is σ = 52631377344. Its totient is φ = 7904345064.

The previous prime is 24002220031. The next prime is 24002220059.

24002220042 is a `hidden beast` number, since 2 + 400 + 2 + 220 + 0 + 42 = 666.

24002220042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×240022200422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24002219997 and 24002220024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8031378 + ... + 8034365.

It is an arithmetic number, because the mean of its divisors is an integer number (2192974056).

Almost surely, 224002220042 is an apocalyptic number.

24002220042 is an abundant number, since it is smaller than the sum of its proper divisors (28629157302).

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

24002220042 is a wasteful number, since it uses less digits than its factorization.

24002220042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065834 (or 16065831 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 24002220042 in words is "twenty-four billion, two million, two hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 16065743 32131486 48197229 96394458 144591687 289183374 1333456669 2666913338 4000370007 8000740014 12001110021 24002220042